From 8dfae577bb3c4a88f65b54942508c50d9d068d18 Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Wed, 18 Oct 2023 08:45:50 +0100
Subject: [PATCH 01/36] [feature] Make maximum classical register width a
 parameter of QASM converters (#1083)

---
 pytket/docs/changelog.rst  |   8 ++
 pytket/pytket/qasm/qasm.py | 170 +++++++++++++++++++++++++++++--------
 pytket/tests/qasm_test.py  |  23 ++++-
 3 files changed, 162 insertions(+), 39 deletions(-)

diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index 87903fc25d..0cb10e2bff 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -1,6 +1,14 @@
 Changelog
 =========
 
+Unreleased
+----------
+
+Minor new features:
+
+* Add optional parameter to QASM conversion methods to set the maximum allowed
+  width of classical registers (default 32).
+
 1.21.0 (October 2023)
 ---------------------
 
diff --git a/pytket/pytket/qasm/qasm.py b/pytket/pytket/qasm/qasm.py
index c30d3244b7..8496b6e076 100644
--- a/pytket/pytket/qasm/qasm.py
+++ b/pytket/pytket/qasm/qasm.py
@@ -290,7 +290,7 @@ def __iter__(self) -> Iterable[str]:
 
 
 class CircuitTransformer(Transformer):
-    def __init__(self, return_gate_dict: bool = False) -> None:
+    def __init__(self, return_gate_dict: bool = False, maxwidth: int = 32) -> None:
         super().__init__()
         self.q_registers: Dict[str, int] = {}
         self.c_registers: Dict[str, int] = {}
@@ -298,6 +298,7 @@ def __init__(self, return_gate_dict: bool = False) -> None:
         self.wasm: Optional[WasmFileHandler] = None
         self.include = ""
         self.return_gate_dict = return_gate_dict
+        self.maxwidth = maxwidth
 
     def _fresh_temp_bit(self) -> List:
         if _TEMP_BIT_NAME in self.c_registers:
@@ -352,6 +353,12 @@ def args(self, tree: Iterable[Token]) -> Iterator[List]:
 
     def creg(self, tree: List[Token]) -> None:
         name, size = _extract_reg(tree[0])
+        if size > self.maxwidth:
+            raise QASMUnsupportedError(
+                f"Circuit contains classical register {name} of size {size} > "
+                f"{self.maxwidth}: try setting the `maxwidth` parameter to a larger "
+                "value."
+            )
         self.c_registers[Reg(name)] = size
 
     def qreg(self, tree: List[Token]) -> None:
@@ -612,7 +619,7 @@ def ifc(self, tree: Sequence) -> Iterable[CommandDict]:
             else:
                 pred_val = cast(int, val)
                 minval = 0
-                maxval = (1 << 32) - 1
+                maxval = (1 << self.maxwidth) - 1
                 if condition.op == RegWiseOp.LT:
                     maxval = pred_val - 1
                 elif condition.op == RegWiseOp.GT:
@@ -834,7 +841,7 @@ def gdef(self, tree: List) -> None:
         symbol_map = {sym: sym * pi for sym in map(Symbol, symbols)}
         rename_map = {Qubit.from_list(qb): Qubit("q", i) for i, qb in enumerate(args)}
 
-        new = CircuitTransformer()
+        new = CircuitTransformer(maxwidth=self.maxwidth)
         circ_dict = new.prog(child_iter)
 
         circ_dict["qubits"] = args
@@ -850,7 +857,9 @@ def gdef(self, tree: List) -> None:
             comparison_circ = _get_gate_circuit(
                 NOPARAM_EXTRA_COMMANDS[gate], qubit_args
             )
-            if circuit_to_qasm_str(comparison_circ) == circuit_to_qasm_str(gate_circ):
+            if circuit_to_qasm_str(
+                comparison_circ, maxwidth=self.maxwidth
+            ) == circuit_to_qasm_str(gate_circ, maxwidth=self.maxwidth):
                 existing_op = True
         elif gate in PARAM_EXTRA_COMMANDS:
             qubit_args = [
@@ -911,61 +920,110 @@ def prog(self, tree: Iterable) -> Dict[str, Any]:
         return outdict
 
 
-parser = Lark(
-    grammar,
-    start="prog",
-    debug=False,
-    parser="lalr",
-    cache=True,
-    transformer=CircuitTransformer(),
-)
+def parser(maxwidth: int) -> Lark:
+    return Lark(
+        grammar,
+        start="prog",
+        debug=False,
+        parser="lalr",
+        cache=True,
+        transformer=CircuitTransformer(maxwidth=maxwidth),
+    )
+
+
+g_parser = None
+g_maxwidth = 32
+
+
+def set_parser(maxwidth: int) -> None:
+    global g_parser, g_maxwidth
+    if (g_parser is None) or (g_maxwidth != maxwidth):  # type: ignore
+        g_parser = parser(maxwidth=maxwidth)
+        g_maxwidth = maxwidth
 
 
 def circuit_from_qasm(
-    input_file: Union[str, "os.PathLike[Any]"], encoding: str = "utf-8"
+    input_file: Union[str, "os.PathLike[Any]"],
+    encoding: str = "utf-8",
+    maxwidth: int = 32,
 ) -> Circuit:
-    """A method to generate a tket Circuit from a qasm file"""
+    """A method to generate a tket Circuit from a qasm file.
+
+    :param input_file: path to qasm file; filename must have ``.qasm`` extension
+    :param encoding: file encoding (default utf-8)
+    :param maxwidth: maximum allowed width of classical registers (default 32)
+    :return: pytket circuit
+    """
     ext = os.path.splitext(input_file)[-1]
     if ext != ".qasm":
         raise TypeError("Can only convert .qasm files")
     with open(input_file, "r", encoding=encoding) as f:
         try:
-            circ = circuit_from_qasm_io(f)
+            circ = circuit_from_qasm_io(f, maxwidth=maxwidth)
         except QASMParseError as e:
             raise QASMParseError(e.msg, e.line, str(input_file))
     return circ
 
 
-def circuit_from_qasm_str(qasm_str: str) -> Circuit:
-    """A method to generate a tket Circuit from a qasm str"""
-    cast(CircuitTransformer, parser.options.transformer)._reset_context(
+def circuit_from_qasm_str(qasm_str: str, maxwidth: int = 32) -> Circuit:
+    """A method to generate a tket Circuit from a qasm string.
+
+    :param qasm_str: qasm string
+    :param maxwidth: maximum allowed width of classical registers (default 32)
+    :return: pytket circuit
+    """
+    global g_parser
+    set_parser(maxwidth=maxwidth)
+    assert g_parser is not None
+    cast(CircuitTransformer, g_parser.options.transformer)._reset_context(
         reset_wasm=False
     )
-    return Circuit.from_dict(parser.parse(qasm_str))  # type: ignore[arg-type]
+    return Circuit.from_dict(g_parser.parse(qasm_str))  # type: ignore[arg-type]
 
 
-def circuit_from_qasm_io(stream_in: TextIO) -> Circuit:
+def circuit_from_qasm_io(stream_in: TextIO, maxwidth: int = 32) -> Circuit:
     """A method to generate a tket Circuit from a qasm text stream"""
-    return circuit_from_qasm_str(stream_in.read())
+    return circuit_from_qasm_str(stream_in.read(), maxwidth=maxwidth)
 
 
 def circuit_from_qasm_wasm(
     input_file: Union[str, "os.PathLike[Any]"],
     wasm_file: Union[str, "os.PathLike[Any]"],
     encoding: str = "utf-8",
+    maxwidth: int = 32,
 ) -> Circuit:
-    """A method to generate a tket Circuit from a qasm str and external WASM module."""
+    """A method to generate a tket Circuit from a qasm string and external WASM module.
+
+    :param input_file: path to qasm file; filename must have ``.qasm`` extension
+    :param wasm_file: path to WASM file containing functions used in qasm
+    :param encoding: encoding of qasm file (default utf-8)
+    :param maxwidth: maximum allowed width of classical registers (default 32)
+    :return: pytket circuit
+    """
+    global g_parser
     wasm_module = WasmFileHandler(str(wasm_file))
-    cast(CircuitTransformer, parser.options.transformer).wasm = wasm_module
-    return circuit_from_qasm(input_file, encoding=encoding)
+    set_parser(maxwidth=maxwidth)
+    assert g_parser is not None
+    cast(CircuitTransformer, g_parser.options.transformer).wasm = wasm_module
+    return circuit_from_qasm(input_file, encoding=encoding, maxwidth=maxwidth)
 
 
-def circuit_to_qasm(circ: Circuit, output_file: str, header: str = "qelib1") -> None:
+def circuit_to_qasm(
+    circ: Circuit, output_file: str, header: str = "qelib1", maxwidth: int = 32
+) -> None:
     """Convert a Circuit to QASM and write it to a file.
 
-    Note that this will not account for implicit qubit permutations in the Circuit."""
+    Classical bits in the pytket circuit must be singly-indexed.
+
+    Note that this will not account for implicit qubit permutations in the Circuit.
+
+    :param circ: pytket circuit
+    :param output_file: path to output qasm file
+    :param header: qasm header (default "qelib1")
+    :param maxwidth: maximum allowed width of classical registers (default 32)
+    """
     with open(output_file, "w") as out:
-        circuit_to_qasm_io(circ, out, header=header)
+        circuit_to_qasm_io(circ, out, header=header, maxwidth=maxwidth)
 
 
 def _filtered_qasm_str(qasm: str) -> str:
@@ -993,11 +1051,24 @@ def _filtered_qasm_str(qasm: str) -> str:
 
 
 def circuit_to_qasm_str(
-    circ: Circuit, header: str = "qelib1", include_gate_defs: Optional[Set[str]] = None
+    circ: Circuit,
+    header: str = "qelib1",
+    include_gate_defs: Optional[Set[str]] = None,
+    maxwidth: int = 32,
 ) -> str:
     """Convert a Circuit to QASM and return the string.
 
-    Note that this will not account for implicit qubit permutations in the Circuit."""
+    Classical bits in the pytket circuit must be singly-indexed.
+
+    Note that this will not account for implicit qubit permutations in the Circuit.
+
+    :param circ: pytket circuit
+    :param header: qasm header (default "qelib1")
+    :param output_file: path to output qasm file
+    :param include_gate_defs: optional set of gates to include
+    :param maxwidth: maximum allowed width of classical registers (default 32)
+    :return: qasm string
+    """
     if any(
         circ.n_gates_of_type(typ)
         for typ in (
@@ -1014,7 +1085,14 @@ def circuit_to_qasm_str(
             "Complex classical gates not supported with qelib1: try converting with "
             "`header=hqslib1`"
         )
-    qasm_writer = QasmWriter(circ.qubits, circ.bits, header, include_gate_defs)
+    if any(bit.index[0] >= maxwidth for bit in circ.bits):
+        raise QASMUnsupportedError(
+            f"Circuit contains a classical register larger than {maxwidth}: try "
+            "setting the `maxwidth` parameter to a higher value."
+        )
+    qasm_writer = QasmWriter(
+        circ.qubits, circ.bits, header, include_gate_defs, maxwidth
+    )
     for command in circ:
         assert isinstance(command, Command)
         qasm_writer.add_op(command.op, command.args)
@@ -1036,8 +1114,8 @@ def _retrieve_registers(
     }
 
 
-def _parse_range(minval: int, maxval: int) -> Tuple[str, int]:
-    REGMAX = (1 << 32) - 1
+def _parse_range(minval: int, maxval: int, maxwidth: int) -> Tuple[str, int]:
+    REGMAX = (1 << maxwidth) - 1
     if minval == maxval:
         return ("==", minval)
     elif minval == 0:
@@ -1140,8 +1218,10 @@ def __init__(
         bits: List[Bit],
         header: str = "qelib1",
         include_gate_defs: Optional[Set[str]] = None,
+        maxwidth: int = 32,
     ):
         self.header = header
+        self.maxwidth = maxwidth
         self.added_gate_definitions: Set[str] = set()
         self.include_module_gates = {"measure", "reset", "barrier"}
         self.include_module_gates.update(
@@ -1243,7 +1323,9 @@ def write_gate_definition(
         gate_circ = _get_gate_circuit(optype, qubit_args, symbols)
         # write circuit to qasm
         self.strings.add_string(
-            circuit_to_qasm_str(gate_circ, self.header, self.include_gate_defs)
+            circuit_to_qasm_str(
+                gate_circ, self.header, self.include_gate_defs, self.maxwidth
+            )
         )
         self.strings.add_string("}\n")
 
@@ -1261,7 +1343,7 @@ def mark_as_written(self, written_variable: str) -> None:
             self.range_preds.remove(hit)
 
     def add_range_predicate(self, op: RangePredicateOp, args: List[Bit]) -> None:
-        comparator, value = _parse_range(op.lower, op.upper)
+        comparator, value = _parse_range(op.lower, op.upper, self.maxwidth)
         if (not hqs_header(self.header)) and comparator != "==":
             raise QASMUnsupportedError(
                 "OpenQASM conditions must be on a register's fixed value."
@@ -1440,7 +1522,9 @@ def add_custom_gate(self, op: CustomGate, args: List[UnitID]) -> None:
             gate_circ.rename_units(dict(zip(gate_circ.qubits, args)))
             gate_circ.symbol_substitution(dict(zip(op.gate.args, op.params)))
             self.strings.add_string(
-                circuit_to_qasm_str(gate_circ, self.header, self.include_gate_defs)
+                circuit_to_qasm_str(
+                    gate_circ, self.header, self.include_gate_defs, self.maxwidth
+                )
             )
         else:
             opstr = op.gate.name
@@ -1575,10 +1659,22 @@ def circuit_to_qasm_io(
     stream_out: TextIO,
     header: str = "qelib1",
     include_gate_defs: Optional[Set[str]] = None,
+    maxwidth: int = 32,
 ) -> None:
     """Convert a Circuit to QASM and write to a text stream.
 
-    Note that this will not account for implicit qubit permutations in the Circuit."""
+    Classical bits in the pytket circuit must be singly-indexed.
+
+    Note that this will not account for implicit qubit permutations in the Circuit.
+
+    :param circ: pytket circuit
+    :param stream_out: text stream to be written to
+    :param header: qasm header (default "qelib1")
+    :param include_gate_defs: optional set of gates to include
+    :param maxwidth: maximum allowed width of classical registers (default 32)
+    """
     stream_out.write(
-        circuit_to_qasm_str(circ, header=header, include_gate_defs=include_gate_defs)
+        circuit_to_qasm_str(
+            circ, header=header, include_gate_defs=include_gate_defs, maxwidth=maxwidth
+        )
     )
diff --git a/pytket/tests/qasm_test.py b/pytket/tests/qasm_test.py
index 0c6817bc6a..12e0d6d1fc 100644
--- a/pytket/tests/qasm_test.py
+++ b/pytket/tests/qasm_test.py
@@ -605,8 +605,8 @@ def test_scratch_bits_filtering() -> None:
     creg a[1];
     creg b[1];
     creg d[2];
-    creg {_TEMP_BIT_NAME}[100];
-    creg {_TEMP_BIT_NAME}_1[100];
+    creg {_TEMP_BIT_NAME}[32];
+    creg {_TEMP_BIT_NAME}_1[32];
     {_TEMP_BIT_NAME}[0] = (a[0] ^ b[0]);
     if({_TEMP_BIT_NAME}[0]==1) x q[0];
     """
@@ -818,6 +818,25 @@ def test_classical_assignment_order_1() -> None:
     assert qasm == correct_qasm
 
 
+def test_max_reg_width() -> None:
+    circ_in = Circuit(1, 33)
+    circ_in.H(0).Measure(0, 32)
+    with pytest.raises(QASMUnsupportedError):
+        circuit_to_qasm_str(circ_in)
+    qasm_out = circuit_to_qasm_str(circ_in, maxwidth=64)
+    assert "measure q[0] -> c[32];" in qasm_out
+    qasm_in = """OPENQASM 2.0;
+include "qelib1.inc";
+qreg q[1];
+creg c[33];
+h q[0];
+measure q[0] -> c[32];"""
+    with pytest.raises(QASMUnsupportedError):
+        circuit_from_qasm_str(qasm_in)
+    circ_out = circuit_from_qasm_str(qasm_in, maxwidth=64)
+    assert len(circ_out.bits) == 33
+
+
 if __name__ == "__main__":
     test_qasm_correct()
     test_qasm_qubit()

From 7220b48ca061734619559936dd4bcfd8817cc157 Mon Sep 17 00:00:00 2001
From: jake-arkinstall-quantinuum
 <111498186+jake-arkinstall-quantinuum@users.noreply.github.com>
Date: Fri, 20 Oct 2023 11:30:56 +0100
Subject: [PATCH 02/36] [infra] Add nix support (#918)

---
 .github/workflows/build-with-nix.yml          | 20 ++++
 .gitignore                                    |  1 +
 README.md                                     |  6 ++
 flake.lock                                    | 60 ++++++++++++
 flake.nix                                     | 31 ++++++
 libs/tkassert/CMakeLists.txt                  |  7 +-
 libs/tklog/CMakeLists.txt                     |  8 +-
 libs/tkrng/CMakeLists.txt                     |  7 +-
 libs/tktokenswap/CMakeLists.txt               |  8 +-
 libs/tkwsm/CMakeLists.txt                     |  8 +-
 nix-support/README.md                         | 33 +++++++
 nix-support/example-flake-project/README.md   | 18 ++++
 nix-support/example-flake-project/flake.nix   | 45 +++++++++
 .../example-flake-project/pyproject.toml      |  9 ++
 .../src/examples/__init__.py                  |  0
 .../src/examples/basic_circuits.py            | 22 +++++
 nix-support/includes-fixup.nix                |  7 ++
 nix-support/libs.nix                          | 45 +++++++++
 nix-support/pytket.nix                        | 94 +++++++++++++++++++
 nix-support/symengine.nix                     | 14 +++
 nix-support/symengine.patch                   | 21 +++++
 nix-support/third-party-python-packages.nix   | 44 +++++++++
 nix-support/tket.nix                          | 44 +++++++++
 pytket/CMakeLists.txt                         |  3 +
 pytket/conanfile.py                           |  2 +-
 pytket/setup.py                               | 32 ++++++-
 tket/CMakeLists.txt                           |  8 +-
 tket/conanfile.py                             |  2 +-
 tket/test/src/test_PhasePolynomials.cpp       |  2 +-
 29 files changed, 591 insertions(+), 10 deletions(-)
 create mode 100644 .github/workflows/build-with-nix.yml
 create mode 100644 flake.lock
 create mode 100644 flake.nix
 create mode 100644 nix-support/README.md
 create mode 100644 nix-support/example-flake-project/README.md
 create mode 100644 nix-support/example-flake-project/flake.nix
 create mode 100644 nix-support/example-flake-project/pyproject.toml
 create mode 100644 nix-support/example-flake-project/src/examples/__init__.py
 create mode 100644 nix-support/example-flake-project/src/examples/basic_circuits.py
 create mode 100644 nix-support/includes-fixup.nix
 create mode 100644 nix-support/libs.nix
 create mode 100644 nix-support/pytket.nix
 create mode 100644 nix-support/symengine.nix
 create mode 100644 nix-support/symengine.patch
 create mode 100644 nix-support/third-party-python-packages.nix
 create mode 100644 nix-support/tket.nix

diff --git a/.github/workflows/build-with-nix.yml b/.github/workflows/build-with-nix.yml
new file mode 100644
index 0000000000..091f2a9671
--- /dev/null
+++ b/.github/workflows/build-with-nix.yml
@@ -0,0 +1,20 @@
+name: build with nix
+on:
+  schedule:
+    # 01:00 every Sunday morning
+    - cron: '0 1 * * 0'
+  workflow_dispatch: {}
+concurrency:
+  group: ${{ github.workflow }}-${{ github.ref }}
+  cancel-in-progress: true
+jobs:
+  build_and_test:
+    strategy:
+      matrix:
+        os: ['ubuntu-22.04', 'macos-12']
+    runs-on: ${{matrix.os}}
+    steps:
+    - uses: actions/checkout@v3
+    - uses: cachix/install-nix-action@v20
+    - name: Build and test tket
+      run: nix flake check
diff --git a/.gitignore b/.gitignore
index e3a61997e0..90eb7af76d 100644
--- a/.gitignore
+++ b/.gitignore
@@ -4,6 +4,7 @@
 *.egg-info
 *.o
 *.so
+*.swp
 .cache
 .eggs
 .hypothesis
diff --git a/README.md b/README.md
index 14e928a27c..e3facaa256 100644
--- a/README.md
+++ b/README.md
@@ -124,6 +124,12 @@ building and testing tket as a standalone C++ library.
 See the [README](pytket/README.md) in the `pytket` directory for instructions on
 building and testing pytket.
 
+### Nix Support
+
+Tket and pytket are available as a Nix flake. See the [README](nix-support/README.md)
+in the `nix-support` directory for instructions on building and testing tket and pytket
+through Nix, and on how to use it within a Nix project.
+
 ## API documentation
 
 The `tket` (C++) API documentation (generated with `doxygen`, and still rather
diff --git a/flake.lock b/flake.lock
new file mode 100644
index 0000000000..4ba12b3083
--- /dev/null
+++ b/flake.lock
@@ -0,0 +1,60 @@
+{
+  "nodes": {
+    "flake-utils": {
+      "inputs": {
+        "systems": "systems"
+      },
+      "locked": {
+        "lastModified": 1694529238,
+        "narHash": "sha256-zsNZZGTGnMOf9YpHKJqMSsa0dXbfmxeoJ7xHlrt+xmY=",
+        "owner": "numtide",
+        "repo": "flake-utils",
+        "rev": "ff7b65b44d01cf9ba6a71320833626af21126384",
+        "type": "github"
+      },
+      "original": {
+        "owner": "numtide",
+        "repo": "flake-utils",
+        "type": "github"
+      }
+    },
+    "nixpkgs": {
+      "locked": {
+        "lastModified": 1697158538,
+        "narHash": "sha256-TR02XPre2EcwU1kT4WXZWJOBi/B8C7P1xoywOUGkdDk=",
+        "owner": "nixos",
+        "repo": "nixpkgs",
+        "rev": "ee176b5fbb680864dcf80f9ca3f6f134d81331d8",
+        "type": "github"
+      },
+      "original": {
+        "owner": "nixos",
+        "repo": "nixpkgs",
+        "type": "github"
+      }
+    },
+    "root": {
+      "inputs": {
+        "flake-utils": "flake-utils",
+        "nixpkgs": "nixpkgs"
+      }
+    },
+    "systems": {
+      "locked": {
+        "lastModified": 1681028828,
+        "narHash": "sha256-Vy1rq5AaRuLzOxct8nz4T6wlgyUR7zLU309k9mBC768=",
+        "owner": "nix-systems",
+        "repo": "default",
+        "rev": "da67096a3b9bf56a91d16901293e51ba5b49a27e",
+        "type": "github"
+      },
+      "original": {
+        "owner": "nix-systems",
+        "repo": "default",
+        "type": "github"
+      }
+    }
+  },
+  "root": "root",
+  "version": 7
+}
diff --git a/flake.nix b/flake.nix
new file mode 100644
index 0000000000..a82c8cf73d
--- /dev/null
+++ b/flake.nix
@@ -0,0 +1,31 @@
+{
+  description = "Tket Quantum SDK";
+  inputs.nixpkgs.url = "github:nixos/nixpkgs";
+  inputs.flake-utils.url = "github:numtide/flake-utils";
+  outputs = { self, nixpkgs, flake-utils }:
+    flake-utils.lib.eachDefaultSystem (system:
+      let
+        pkgs = import nixpkgs {
+          inherit system;
+          overlays = [
+            (import ./nix-support/libs.nix)
+            (import ./nix-support/symengine.nix)
+            (import ./nix-support/tket.nix)
+            (import ./nix-support/third-party-python-packages.nix)
+            (import ./nix-support/pytket.nix)
+          ];
+        };
+      in {
+        packages = {
+          tket = pkgs.tket;
+          pytket = pkgs.pytket;
+        };
+        devShells = {
+          default = pkgs.mkShell { buildInputs = [ pkgs.tket pkgs.pytket ]; };
+        };
+        checks = {
+          tket-tests = pkgs.run-tket-tests;
+          pytket-tests = pkgs.pytket;
+        };
+      });
+}
diff --git a/libs/tkassert/CMakeLists.txt b/libs/tkassert/CMakeLists.txt
index cd38a7f271..b65ef57dd5 100644
--- a/libs/tkassert/CMakeLists.txt
+++ b/libs/tkassert/CMakeLists.txt
@@ -22,6 +22,8 @@ find_package(tklog CONFIG REQUIRED)
 set(CMAKE_CXX_STANDARD 20)
 set(CMAKE_CXX_EXTENSIONS OFF)
 
+option(INSTALL_NAME_DIR "Set the install name dir for the library to @loader_path for Apple targets" ON)
+
 if(NOT CMAKE_BUILD_TYPE)
   set(CMAKE_BUILD_TYPE Release)
 endif()
@@ -35,7 +37,7 @@ if(WIN32)
     set(CMAKE_WINDOWS_EXPORT_ALL_SYMBOLS yes)
 endif()
 
-if(APPLE)
+if(APPLE AND INSTALL_NAME_DIR)
     set(CMAKE_INSTALL_NAME_DIR "@loader_path")
     set(CMAKE_BUILD_WITH_INSTALL_NAME_DIR ON)
 endif()
@@ -64,6 +66,9 @@ target_include_directories(tkassert PUBLIC
     $<INSTALL_INTERFACE:include/tkassert>
     $<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/include/tkassert>)
 target_link_libraries(tkassert PRIVATE tklog::tklog)
+IF(APPLE)
+    target_link_libraries(tkassert PRIVATE "-flat_namespace")
+ENDIF()
 
 target_sources(tkassert
     PRIVATE src/AssertMessage.cpp
diff --git a/libs/tklog/CMakeLists.txt b/libs/tklog/CMakeLists.txt
index 8b570edce7..2366c0f895 100644
--- a/libs/tklog/CMakeLists.txt
+++ b/libs/tklog/CMakeLists.txt
@@ -20,6 +20,8 @@ list(INSERT CMAKE_MODULE_PATH 0 ${CMAKE_SOURCE_DIR}/cmake)
 set(CMAKE_CXX_STANDARD 20)
 set(CMAKE_CXX_EXTENSIONS OFF)
 
+option(INSTALL_NAME_DIR "Set the install name dir for the library to @loader_path for Apple targets" ON)
+
 if(NOT CMAKE_BUILD_TYPE)
   set(CMAKE_BUILD_TYPE Release)
 endif()
@@ -33,7 +35,7 @@ if(WIN32)
     set(CMAKE_WINDOWS_EXPORT_ALL_SYMBOLS yes)
 endif()
 
-if(APPLE)
+if(APPLE AND INSTALL_NAME_DIR)
     set(CMAKE_INSTALL_NAME_DIR "@loader_path")
     set(CMAKE_BUILD_WITH_INSTALL_NAME_DIR ON)
 endif()
@@ -62,6 +64,10 @@ target_include_directories(tklog PUBLIC
     $<INSTALL_INTERFACE:include/tklog>
     $<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/include/tklog>)
 
+IF(APPLE)
+    target_link_libraries(tklog PRIVATE "-flat_namespace")
+ENDIF()
+
 target_sources(tklog
     PRIVATE src/TketLog.cpp
     PUBLIC FILE_SET HEADERS
diff --git a/libs/tkrng/CMakeLists.txt b/libs/tkrng/CMakeLists.txt
index d7de653944..9f81d6a90f 100644
--- a/libs/tkrng/CMakeLists.txt
+++ b/libs/tkrng/CMakeLists.txt
@@ -20,6 +20,8 @@ list(INSERT CMAKE_MODULE_PATH 0 ${CMAKE_SOURCE_DIR}/cmake)
 set(CMAKE_CXX_STANDARD 20)
 set(CMAKE_CXX_EXTENSIONS OFF)
 
+option(INSTALL_NAME_DIR "Set the install name dir for the library to @loader_path for Apple targets" ON)
+
 if(NOT CMAKE_BUILD_TYPE)
   set(CMAKE_BUILD_TYPE Release)
 endif()
@@ -33,7 +35,7 @@ if(WIN32)
     set(CMAKE_WINDOWS_EXPORT_ALL_SYMBOLS yes)
 endif()
 
-if(APPLE)
+if(APPLE AND INSTALL_NAME_DIR)
     set(CMAKE_INSTALL_NAME_DIR "@loader_path")
     set(CMAKE_BUILD_WITH_INSTALL_NAME_DIR ON)
 endif()
@@ -62,6 +64,9 @@ target_include_directories(tkrng PUBLIC
     $<INSTALL_INTERFACE:include/tkrng>
     $<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/include/tkrng>)
 
+IF(APPLE)
+    target_link_libraries(tkrng PRIVATE "-flat_namespace")
+ENDIF()
 target_sources(tkrng
     PRIVATE src/RNG.cpp
     PUBLIC FILE_SET HEADERS
diff --git a/libs/tktokenswap/CMakeLists.txt b/libs/tktokenswap/CMakeLists.txt
index fa9a8a21b9..e9e50624ed 100644
--- a/libs/tktokenswap/CMakeLists.txt
+++ b/libs/tktokenswap/CMakeLists.txt
@@ -25,6 +25,8 @@ find_package(Boost CONFIG REQUIRED)
 set(CMAKE_CXX_STANDARD 20)
 set(CMAKE_CXX_EXTENSIONS OFF)
 
+option(INSTALL_NAME_DIR "Set the install name dir for the library to @loader_path for Apple targets" ON)
+
 if(NOT CMAKE_BUILD_TYPE)
   set(CMAKE_BUILD_TYPE Release)
 endif()
@@ -38,7 +40,7 @@ if(WIN32)
     set(CMAKE_WINDOWS_EXPORT_ALL_SYMBOLS yes)
 endif()
 
-if(APPLE)
+if(APPLE AND INSTALL_NAME_DIR)
     set(CMAKE_INSTALL_NAME_DIR "@loader_path")
     set(CMAKE_BUILD_WITH_INSTALL_NAME_DIR ON)
 endif()
@@ -71,6 +73,10 @@ target_link_libraries(tktokenswap PRIVATE tkassert::tkassert)
 target_link_libraries(tktokenswap PRIVATE tkrng::tkrng)
 target_link_libraries(tktokenswap PRIVATE Boost::headers)
 
+IF(APPLE)
+    target_link_libraries(tktokenswap PRIVATE "-flat_namespace")
+ENDIF()
+
 target_sources(tktokenswap
     PRIVATE
         src/BestFullTsa.cpp
diff --git a/libs/tkwsm/CMakeLists.txt b/libs/tkwsm/CMakeLists.txt
index e37c1ff6cf..d889aa887b 100644
--- a/libs/tkwsm/CMakeLists.txt
+++ b/libs/tkwsm/CMakeLists.txt
@@ -25,6 +25,8 @@ find_package(Boost CONFIG REQUIRED)
 set(CMAKE_CXX_STANDARD 20)
 set(CMAKE_CXX_EXTENSIONS OFF)
 
+option(INSTALL_NAME_DIR "Set the install name dir for the library to @loader_path for Apple targets" ON)
+
 if(NOT CMAKE_BUILD_TYPE)
   set(CMAKE_BUILD_TYPE Release)
 endif()
@@ -38,7 +40,7 @@ if(WIN32)
     set(CMAKE_WINDOWS_EXPORT_ALL_SYMBOLS yes)
 endif()
 
-if(APPLE)
+if(APPLE AND INSTALL_NAME_DIR)
     set(CMAKE_INSTALL_NAME_DIR "@loader_path")
     set(CMAKE_BUILD_WITH_INSTALL_NAME_DIR ON)
 endif()
@@ -69,6 +71,9 @@ target_include_directories(tkwsm PUBLIC
 target_link_libraries(tkwsm PRIVATE tkassert::tkassert)
 target_link_libraries(tkwsm PRIVATE tkrng::tkrng)
 target_link_libraries(tkwsm PRIVATE Boost::headers)
+IF(APPLE)
+    target_link_libraries(tkwsm PRIVATE "-flat_namespace")
+ENDIF()
 
 target_sources(tkwsm
     PRIVATE
@@ -157,6 +162,7 @@ target_sources(tkwsm
         include/tkwsm/WeightPruning/WeightNogoodDetectorManager.hpp
         )
 
+
 include(GNUInstallDirs)
 set(INSTALL_CONFIGDIR ${CMAKE_INSTALL_LIBDIR}/cmake/tkwsm)
 
diff --git a/nix-support/README.md b/nix-support/README.md
new file mode 100644
index 0000000000..0721a5e8ff
--- /dev/null
+++ b/nix-support/README.md
@@ -0,0 +1,33 @@
+# Nix support for tket and pytket
+
+Tket exposes a Nix flake that you can build, test and use within a Nix environment.
+To build and test tket and pytket on your local system, you can run
+
+```
+$ nix flake check github:CQCL/tket
+```
+
+This will take some time, as it requires the building of a patched symengine,
+the compilation of tket and tket tests, and the compilation of pytket's dependencies,
+before testing.
+
+You can enter a development environment with tket and pytket available
+with use of `nix develop`. For example,
+
+```
+$ nix develop github:CQCL/tket
+
+$ python3
+Python 3.10.12 (main, Jun  6 2023, 22:43:10) [GCC 12.2.0] on linux
+Type "help", "copyright", "credits" or "license" for more information.
+>>> from pytket import Circuit
+>>> circuit = Circuit(5)
+>>> circuit.X(1)
+[X q[1]; ]
+>>> circuit.X(2)
+[X q[1]; X q[2]; ]
+```
+
+You can also use tket and pytket within your own flake project.
+An example of such a project is given in the [example-flake-project](example-flake-project)
+directory.
diff --git a/nix-support/example-flake-project/README.md b/nix-support/example-flake-project/README.md
new file mode 100644
index 0000000000..d0c3737043
--- /dev/null
+++ b/nix-support/example-flake-project/README.md
@@ -0,0 +1,18 @@
+# Example flake project
+
+In this example, we create a [flake.nix](flake.nix) file that tells Nix
+where to fetch nixpkgs, flake-utils and tket. It also builds an example
+application, using [pyproject.toml](pyproject.toml) and the
+[src](src) directory. This application [exposes](src/examples/basic_circuits.py)
+two scripts: `entanglement` and `teleport`, that set up trivial circuits
+and display them in your browser.
+
+To run these scripts, simply run the following commands from within this directory:
+
+```
+nix run .#entanglement
+```
+and
+```
+nix run .#teleport
+```
diff --git a/nix-support/example-flake-project/flake.nix b/nix-support/example-flake-project/flake.nix
new file mode 100644
index 0000000000..747f4d462e
--- /dev/null
+++ b/nix-support/example-flake-project/flake.nix
@@ -0,0 +1,45 @@
+{
+  inputs.nixpkgs.url = "github:nixos/nixpkgs/nixos-23.05";
+  inputs.flake-utils.url = "github:numtide/flake-utils";
+  # fetch tket from github
+  inputs.tket.url = "github:CQCL/tket";
+
+  outputs = { self, nixpkgs, flake-utils, tket }:
+    flake-utils.lib.eachDefaultSystem (system:
+      let
+        pkgs = import nixpkgs {
+          inherit system;
+          overlays = [
+            (self: super: {
+              # add tket and pytket to pkgs for later use
+              tket = tket.packages.${system}.tket;
+              pytket = tket.packages.${system}.pytket;
+            })
+          ];
+        };
+        examples = pkgs.python3Packages.buildPythonApplication {
+          pname = "examples";
+          version = "0.0.1";
+          format = "pyproject";
+          # copy pyproject.toml and src to the build directory
+          unpackPhase = ''
+            cp ${./pyproject.toml} pyproject.toml
+            cp -r ${./src} src
+            chmod 700 src;
+          '';
+          # provide pytket as a dependency
+          propagatedBuildInputs = [ pkgs.pytket ];
+        };
+      in {
+        apps = {
+          entanglement = {
+            type = "app";
+            program = "${examples}/bin/entanglement";
+          };
+          teleport = {
+            type = "app";
+            program = "${examples}/bin/teleport";
+          };
+        };
+      });
+}
diff --git a/nix-support/example-flake-project/pyproject.toml b/nix-support/example-flake-project/pyproject.toml
new file mode 100644
index 0000000000..c5b56a7063
--- /dev/null
+++ b/nix-support/example-flake-project/pyproject.toml
@@ -0,0 +1,9 @@
+[project]
+name = "examples"
+version = "0.0.1"
+dependencies = ["pytket"]
+
+[project.scripts]
+entanglement = "examples.basic_circuits:entanglement_circuit"
+teleport = "examples.basic_circuits:teleport_circuit"
+
diff --git a/nix-support/example-flake-project/src/examples/__init__.py b/nix-support/example-flake-project/src/examples/__init__.py
new file mode 100644
index 0000000000..e69de29bb2
diff --git a/nix-support/example-flake-project/src/examples/basic_circuits.py b/nix-support/example-flake-project/src/examples/basic_circuits.py
new file mode 100644
index 0000000000..9d2ddd3cb1
--- /dev/null
+++ b/nix-support/example-flake-project/src/examples/basic_circuits.py
@@ -0,0 +1,22 @@
+from pytket import Circuit
+from pytket.circuit.display import get_circuit_renderer
+
+
+def entanglement_circuit():
+    circuit = Circuit(2)
+    circuit.H(0)
+    circuit.CX(0, 1)
+    circuit.measure_all()
+    renderer = get_circuit_renderer()
+    renderer.view_browser(circuit)
+
+
+def teleport_circuit():
+    circuit = Circuit(3)
+    circuit.H(0)
+    circuit.CX(0, 1)
+    circuit.CX(1, 2)
+    circuit.H(0)
+    circuit.measure_all()
+    renderer = get_circuit_renderer()
+    renderer.view_browser(circuit)
diff --git a/nix-support/includes-fixup.nix b/nix-support/includes-fixup.nix
new file mode 100644
index 0000000000..b9a1fa43d2
--- /dev/null
+++ b/nix-support/includes-fixup.nix
@@ -0,0 +1,7 @@
+''
+  # fix bogus include paths
+  # trick found here: https://github.com/NixOS/nixpkgs/blob/master/pkgs/development/libraries/crc32c/default.nix
+  for f in $(find $out/lib/cmake -name '*.cmake'); do
+    substituteInPlace "$f" --replace "\''${_IMPORT_PREFIX}/$out/include" "\''${_IMPORT_PREFIX}/include"
+  done
+''
diff --git a/nix-support/libs.nix b/nix-support/libs.nix
new file mode 100644
index 0000000000..59f1f65524
--- /dev/null
+++ b/nix-support/libs.nix
@@ -0,0 +1,45 @@
+self: super:
+let
+  default-flags = [ "-DBUILD_SHARED_LIBS=ON" "-DINSTALL_NAME_DIR=OFF" ];
+  postFixup = import ./includes-fixup.nix;
+in {
+  tklog = super.stdenv.mkDerivation {
+    name = "tklog";
+    src = ../libs/tklog;
+    nativeBuildInputs = [ super.cmake ];
+    cmakeFlags = default-flags;
+    inherit postFixup;
+  };
+  tkrng = super.stdenv.mkDerivation {
+    name = "tkrng";
+    src = ../libs/tkrng;
+    nativeBuildInputs = [ super.cmake ];
+    cmakeFlags = default-flags;
+    inherit postFixup;
+  };
+  tkassert = super.stdenv.mkDerivation {
+    name = "tkassert";
+    src = ../libs/tkassert;
+    nativeBuildInputs = [ super.cmake ];
+    buildInputs = [ self.tklog ];
+    cmakeFlags = default-flags;
+    inherit postFixup;
+  };
+  tktokenswap = super.stdenv.mkDerivation {
+    name = "tktokenswap";
+    src = ../libs/tktokenswap;
+    nativeBuildInputs = [ super.cmake super.boost ];
+    buildInputs = [ self.tklog self.tkassert self.tkrng ];
+    cmakeFlags = default-flags;
+    inherit postFixup;
+  };
+  tkwsm = super.stdenv.mkDerivation {
+    name = "tkwsm";
+    src = ../libs/tkwsm;
+    nativeBuildInputs = [ super.cmake super.boost ];
+    buildInputs = [ self.tklog self.tkassert self.tkrng ];
+    cmakeFlags = default-flags;
+    inherit postFixup;
+  };
+  tklibs = [ self.tklog self.tkrng self.tkassert self.tktokenswap self.tkwsm ];
+}
diff --git a/nix-support/pytket.nix b/nix-support/pytket.nix
new file mode 100644
index 0000000000..d99d90b98f
--- /dev/null
+++ b/nix-support/pytket.nix
@@ -0,0 +1,94 @@
+self: super:
+let
+  config_contents = builtins.readFile ../pytket/docs/conf.py;
+  versions =
+    builtins.match ''.*release *= *["']([^"']+)["'].*'' config_contents;
+  version = if builtins.length versions > 0 then
+    builtins.elemAt versions 0
+  else
+    "0.0.0";
+
+  jsonschema-4180 = super.python3Packages.jsonschema.overrideAttrs (_: rec {
+    version = "4.18.0";
+    src = super.fetchPypi {
+      pname = "jsonschema";
+      version = "4.18.0";
+      hash = sha256:jK9bV6mQqY6bOYMu88s1wXb+MxQUJStuGyb9WGb4kaQ=;
+    };
+  });
+in {
+  binders = super.stdenv.mkDerivation {
+    name = "binders";
+    nativeBuildInputs = [
+      super.cmake
+      super.pkg-config
+      super.python3Packages.pybind11
+      super.pybind11_json
+    ];
+    cmakeFlags = [ "-DBUILD_SHARED_LIBS=ON" ];
+    propagatedBuildInputs = [
+      super.tket
+    ];
+    unpackPhase = ''
+      cp -r ${../pytket/binders} binders;
+      cp ${../pytket/CMakeLists.txt} CMakeLists.txt;
+    '';
+  };
+  pytket = super.python3.pkgs.buildPythonPackage {
+    name = "pytket";
+    inherit version;
+    propagatedBuildInputs = with super.python3.pkgs; [
+      self.binders
+      super.lark-parser
+      super.types-pkg_resources
+      super.qwasm
+      graphviz
+      networkx
+      jinja2
+      sympy
+      scipy
+      numpy
+      typing-extensions
+    ];
+
+    unpackPhase = ''
+      cp -r ${../pytket/pytket} pytket;
+      cp -r ${../pytket/setup.py} setup.py;
+      cp -r ${../pytket/package.md} package.md;
+      cp -r ${../schemas} schemas;
+      mkdir test_root;
+      cp -r ${../pytket/tests} test_root/tests;
+    '';
+    preBuild = ''
+      export USE_NIX=1;
+    '';
+    postFixup = ''
+      # hardcode the version extracted from docs/conf.py.
+      echo '__version__ = "${version}"' > $out/lib/python3.10/site-packages/pytket/_version.py;
+
+      # these directories aren't copied by setup.py, so we do it manually
+      cp -r ${
+        ../pytket/pytket/circuit/display/js
+      } $out/lib/python3.10/site-packages/pytket/circuit/display/js;
+      cp -r ${
+        ../pytket/pytket/circuit/display/static
+      } $out/lib/python3.10/site-packages/pytket/circuit/display/static;
+    '';
+    checkInputs = with super.python3.pkgs; [
+      pytest
+      pytest-cov
+      pytest-benchmark
+      py
+      hypothesis
+      docker
+      opt-einsum
+    ] ++ [jsonschema-4180];
+    checkPhase = ''
+      export HOME=$TMPDIR;
+      chmod 700 $TMPDIR/test_root/tests/qasm_test_files;
+      cd test_root/tests;
+      python -m pytest -s .
+    '';
+    doCheck = true;
+  };
+}
diff --git a/nix-support/symengine.nix b/nix-support/symengine.nix
new file mode 100644
index 0000000000..7b74768a47
--- /dev/null
+++ b/nix-support/symengine.nix
@@ -0,0 +1,14 @@
+self: super: {
+  # symengine in nixpkgs is built as a static library, and doesn't expose
+  # propagated inputs in its pkgconfig file. This is a workaround to build
+  # it as a shared library, and to expose the propagated inputs.
+  symengine = super.symengine.overrideAttrs (old: {
+    patches = [ ./symengine.patch ];
+    cmakeFlags = old.cmakeFlags ++ [
+      "-DBUILD_TESTS=OFF"
+      "-DBUILD_BENCHMARKS=OFF"
+      "-DCMAKE_INSTALL_RPATH_USE_LINK_PATH=yes"
+    ];
+    propagatedBuildInputs = [ super.flint super.gmp super.libmpc super.mpfr ];
+  });
+}
diff --git a/nix-support/symengine.patch b/nix-support/symengine.patch
new file mode 100644
index 0000000000..b6e130f0f2
--- /dev/null
+++ b/nix-support/symengine.patch
@@ -0,0 +1,21 @@
+diff --git a/cmake/SymEngineConfig.cmake.in b/cmake/SymEngineConfig.cmake.in
+index dbfc80ba..d3a390b8 100644
+--- a/cmake/SymEngineConfig.cmake.in
++++ b/cmake/SymEngineConfig.cmake.in
+@@ -107,11 +107,11 @@ endif()
+
+ list(REMOVE_DUPLICATES SYMENGINE_INCLUDE_DIRS)
+
+-foreach(LIB "@SYMENGINE_TARGETS@")
+-    # Remove linking of dependencies to later add them as targets
+-    set_target_properties(${LIB} PROPERTIES IMPORTED_LINK_INTERFACE_LIBRARIES_RELEASE "")
+-    set_target_properties(${LIB} PROPERTIES IMPORTED_LINK_INTERFACE_LIBRARIES_DEBUG "")
+-endforeach()
++#foreach(LIB "@SYMENGINE_TARGETS@")
++#    set_target_properties(${LIB} PROPERTIES IMPORTED_LINK_INTERFACE_LIBRARIES_RELEASE "")
++#    set_target_properties(${LIB} PROPERTIES IMPORTED_LINK_INTERFACE_LIBRARIES_DEBUG "")
++#endforeach()
++set_target_properties(symengine PROPERTIES INTERFACE_LINK_LIBRARIES "${SYMENGINE_LIBRARIES}")
+
+ set(SYMENGINE_LIBRARIES @SYMENGINE_TARGETS@ ${SYMENGINE_LIBRARIES})
+ set(SYMENGINE_BUILD_TYPE "@CMAKE_BUILD_TYPE@")
diff --git a/nix-support/third-party-python-packages.nix b/nix-support/third-party-python-packages.nix
new file mode 100644
index 0000000000..b462a4c0b7
--- /dev/null
+++ b/nix-support/third-party-python-packages.nix
@@ -0,0 +1,44 @@
+self: super: {
+  pybind11_json = super.stdenv.mkDerivation {
+    name = "pybind11_json";
+    src = super.fetchFromGitHub {
+      owner = "pybind";
+      repo = "pybind11_json";
+      rev = "0.2.13";
+      sha256 = "sha256:Kl/QflV2bBoH72/LW03K8JDlhBF+DYYXL47A5s1nmTw=";
+    };
+    nativeBuildInputs = [ super.cmake ];
+    buildInputs = [ super.python3Packages.pybind11 super.nlohmann_json ];
+  };
+  qwasm = super.python3.pkgs.buildPythonPackage {
+    name = "qwasm";
+    src = super.fetchFromGitHub {
+      owner = "CQCL";
+      repo = "qwasm";
+      rev = "35ebe1e2551449d97b9948a600f8d2e4d7474df6";
+      sha256 = "sha256:g/QA5CpAR3exRDgVQMnXGIH8bEGtwGFBjjSblbdXRkU=";
+    };
+  };
+  lark-parser = super.python3.pkgs.buildPythonPackage {
+    pname = "lark-parser";
+    version = "0.12.0";
+    src = super.fetchFromGitHub {
+      owner = "lark-parser";
+      repo = "lark";
+      rev = "refs/tags/0.12.0";
+      hash = "sha256-zcMGCn3ixD3dJg3GlC/ijs+U1JN1BodHLTXZc/5UR7Y=";
+    };
+    doCheck = false;
+  };
+  types-pkg_resources = let
+    pname = "types-pkg_resources";
+    version = "0.1.3";
+  in super.python3.pkgs.buildPythonPackage {
+    inherit pname version;
+    src = super.fetchPypi {
+      inherit pname version;
+      sha256 = "sha256:g0qbjT2+o0NWL9mdXTNZpyb2v503M7zNK08wlvurna4=";
+    };
+    doCheck = false;
+  };
+}
diff --git a/nix-support/tket.nix b/nix-support/tket.nix
new file mode 100644
index 0000000000..5dc0fa43a2
--- /dev/null
+++ b/nix-support/tket.nix
@@ -0,0 +1,44 @@
+self: super:
+let
+  postFixup = import ./includes-fixup.nix;
+  # only import necessary directories so that changes to unrelated
+  # files inside of ../tket won't trigger a rebuild
+  tket-without-tests = super.stdenv.mkDerivation {
+    name = "tket-sources";
+    phases = [ "installPhase" ];
+    installPhase = ''
+      mkdir -p $out;
+      cp -r ${../tket/cmake} $out/cmake;
+      cp -r ${../tket/include} $out/include;
+      cp -r ${../tket/src} $out/src;
+      cp -r ${../tket/CMakeLists.txt} $out/CMakeLists.txt;
+    '';
+  };
+in {
+  tket = super.stdenv.mkDerivation {
+    name = "tket";
+    src = tket-without-tests;
+    nativeBuildInputs = [ super.cmake ];
+    propagatedBuildInputs = super.tklibs
+      ++ [ super.boost super.symengine super.eigen super.nlohmann_json ];
+    cmakeFlags = [ "-DBUILD_SHARED_LIBS=ON" "-DINSTALL_NAME_DIR=OFF" ];
+    inherit postFixup;
+  };
+
+  tket-tests = super.stdenv.mkDerivation {
+    name = "tket-tests";
+    src = ../tket/test;
+    nativeBuildInputs = [ super.cmake super.pkg-config ];
+    buildInputs = [ self.tket super.catch2_3 ];
+  };
+  run-tket-tests = super.stdenv.mkDerivation {
+    name = "run-tket-tests";
+    stages = [ "build" ];
+    buildCommand = ''
+      pushd ${self.tket-tests}/bin;
+      mkdir -p $out;
+      ./test-tket > $out/test_result.txt;
+      popd;
+    '';
+  };
+}
diff --git a/pytket/CMakeLists.txt b/pytket/CMakeLists.txt
index 3042b08f6e..a5f46ca430 100644
--- a/pytket/CMakeLists.txt
+++ b/pytket/CMakeLists.txt
@@ -92,6 +92,9 @@ list(APPEND lib_deps
 if (WIN32)
     list(APPEND lib_deps bcrypt) # For boost::uuid
 endif()
+if (APPLE)
+    list(APPEND lib_deps "-flat_namespace")
+endif()
 
 set(HEADER_FILES
         binders/include/add_gate.hpp
diff --git a/pytket/conanfile.py b/pytket/conanfile.py
index 71b0000b0b..2fdd615d19 100644
--- a/pytket/conanfile.py
+++ b/pytket/conanfile.py
@@ -32,7 +32,7 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tket/1.2.59@tket/stable")
+        self.requires("tket/1.2.60@tket/stable")
         self.requires("tklog/0.3.3@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("tkassert/0.3.3@tket/stable")
diff --git a/pytket/setup.py b/pytket/setup.py
index c16bd7fd21..b26819b448 100755
--- a/pytket/setup.py
+++ b/pytket/setup.py
@@ -123,9 +123,39 @@ def run(self):
                     shutil.copy(libpath, extdir)
 
 
+class NixBuild(build_ext):
+    def run(self):
+        self.check_extensions_list(self.extensions)
+        extdir = os.path.abspath(
+            os.path.dirname(self.get_ext_fullpath(self.extensions[0].name))
+        )
+        if os.path.exists(extdir):
+            shutil.rmtree(extdir)
+        os.makedirs(extdir)
+
+        nix_ldflags = os.environ["NIX_LDFLAGS"].split()
+        build_inputs = os.environ["propagatedBuildInputs"].split()
+
+        binders = [f"{l}/lib" for l in build_inputs if "-binders" in l]
+        for binder in binders:
+            for lib in os.listdir(binder):
+                libpath = os.path.join(binder, lib)
+                if not os.path.isdir(libpath):
+                    shutil.copy(libpath, extdir)
+
+
 plat_name = os.getenv("WHEEL_PLAT_NAME")
 
 
+def get_build_ext():
+    if os.getenv("USE_NIX"):
+        return NixBuild
+    elif os.getenv("NO_CONAN"):
+        return CMakeBuild
+    else:
+        return ConanBuild
+
+
 class bdist_wheel(_bdist_wheel):
     def finalize_options(self):
         _bdist_wheel.finalize_options(self)
@@ -173,7 +203,7 @@ def finalize_options(self):
         CMakeExtension("pytket._tket.{}".format(binder)) for binder in binders
     ],
     cmdclass={
-        "build_ext": CMakeBuild if os.getenv("NO_CONAN") else ConanBuild,
+        "build_ext": get_build_ext(),
         "bdist_wheel": bdist_wheel,
     },
     classifiers=[
diff --git a/tket/CMakeLists.txt b/tket/CMakeLists.txt
index 947ec51d23..69d9cee448 100644
--- a/tket/CMakeLists.txt
+++ b/tket/CMakeLists.txt
@@ -30,6 +30,8 @@ find_package(tkwsm CONFIG REQUIRED)
 set(CMAKE_CXX_STANDARD 20)
 set(CMAKE_CXX_EXTENSIONS OFF)
 
+option(INSTALL_NAME_DIR "Set the install name dir for the library to @loader_path for Apple targets" ON)
+
 if(NOT CMAKE_BUILD_TYPE)
   set(CMAKE_BUILD_TYPE Release)
 endif()
@@ -62,7 +64,7 @@ endif()
 
 if(WIN32)
     set(CMAKE_WINDOWS_EXPORT_ALL_SYMBOLS yes)
-elseif(APPLE)
+elseif(APPLE AND INSTALL_NAME_DIR)
     # set correct install_name
     set(CMAKE_INSTALL_NAME_DIR "@loader_path")
     set(CMAKE_BUILD_WITH_INSTALL_NAME_DIR ON)
@@ -84,6 +86,7 @@ if(CMAKE_CXX_COMPILER_ID STREQUAL "GNU")
     set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -Wno-error=maybe-uninitialized")
 endif()
 
+
 add_library(tket)
 
 set(PROFILE_COVERAGE no CACHE BOOL "Build library with profiling for test coverage")
@@ -114,6 +117,9 @@ target_link_libraries(tket PRIVATE tkassert::tkassert)
 target_link_libraries(tket PRIVATE tkrng::tkrng)
 target_link_libraries(tket PRIVATE tktokenswap::tktokenswap)
 target_link_libraries(tket PRIVATE tkwsm::tkwsm)
+IF(APPLE)
+    target_link_libraries(tket PRIVATE "-flat_namespace")
+ENDIF()
 
 target_sources(tket
     PRIVATE
diff --git a/tket/conanfile.py b/tket/conanfile.py
index 12a1adb205..6811687523 100644
--- a/tket/conanfile.py
+++ b/tket/conanfile.py
@@ -23,7 +23,7 @@
 
 class TketConan(ConanFile):
     name = "tket"
-    version = "1.2.59"
+    version = "1.2.60"
     package_type = "library"
     license = "Apache 2"
     homepage = "https://github.com/CQCL/tket"
diff --git a/tket/test/src/test_PhasePolynomials.cpp b/tket/test/src/test_PhasePolynomials.cpp
index e4d4e3cd35..0247e43cc9 100644
--- a/tket/test/src/test_PhasePolynomials.cpp
+++ b/tket/test/src/test_PhasePolynomials.cpp
@@ -15,12 +15,12 @@
 #include <catch2/catch_test_macros.hpp>
 
 #include "CircuitsForTesting.hpp"
-#include "Predicates/PassLibrary.hpp"
 #include "testutil.hpp"
 #include "tket/Circuit/Boxes.hpp"
 #include "tket/Circuit/CircUtils.hpp"
 #include "tket/Converters/PhasePoly.hpp"
 #include "tket/Predicates/CompilerPass.hpp"
+#include "tket/Predicates/PassLibrary.hpp"
 #include "tket/Transformations/Decomposition.hpp"
 #include "tket/Transformations/Rebase.hpp"
 #include "tket/Transformations/Transform.hpp"

From 75caa93014885b12b112cc0792d05852bf65707d Mon Sep 17 00:00:00 2001
From: cqc-melf <70640934+cqc-melf@users.noreply.github.com>
Date: Mon, 23 Oct 2023 16:37:54 +0100
Subject: [PATCH 03/36] add additional check for >32 bit size registers used in
 wasm (#1090)

* add additional check for >32 bit sizze registers used in wasm

* shorter line
---
 pytket/pytket/circuit/__init__.py | 15 +++++++++++
 pytket/tests/classical_test.py    | 43 ++++++++++++++++++++++++++++++-
 2 files changed, 57 insertions(+), 1 deletion(-)

diff --git a/pytket/pytket/circuit/__init__.py b/pytket/pytket/circuit/__init__.py
index a9192d15bf..6941829c91 100644
--- a/pytket/pytket/circuit/__init__.py
+++ b/pytket/pytket/circuit/__init__.py
@@ -135,6 +135,21 @@ def overload_add_wasm_to_reg(
     if args_wasm is None:
         args_wasm = [0]
 
+    if filehandler._check_file:
+        for reg in list_i:
+            if reg.size > 32:
+                raise ValueError(
+                    """wasm is only supporting 32 bit size registers,
+please use only registers of at most 32 bits"""
+                )
+
+        for reg in list_o:
+            if reg.size > 32:
+                raise ValueError(
+                    """wasm is only supporting 32 bit size registers,
+please use only registers of at most 32 bits"""
+                )
+
     if filehandler.check_function(funcname, len(list_i), len(list_o)):
         if (len(args_wasm)) > 0:
             self._add_w_register(max(args_wasm) + 1)
diff --git a/pytket/tests/classical_test.py b/pytket/tests/classical_test.py
index 2f0d651844..a5f63860fd 100644
--- a/pytket/tests/classical_test.py
+++ b/pytket/tests/classical_test.py
@@ -390,10 +390,51 @@ def test_wasm_function_check_5() -> None:
     c = Circuit(20, 20)
     c0 = c.add_c_register("c0", 53)
     c1 = c.add_c_register("c1", 4)
+
+    with pytest.raises(ValueError):
+        c.add_wasm_to_reg("add_one", w, [c0], [c1])
+
+
+def test_wasm_function_check_6() -> None:
+    w = wasm.WasmFileHandler("testfile.wasm")
+    c = Circuit(20, 20)
+    c0 = c.add_c_register("c0", 32)
+    c1 = c.add_c_register("c1", 4)
+
+    c.add_wasm_to_reg("add_one", w, [c0], [c1])
+    assert c.depth() == 1
+
+
+def test_wasm_function_check_7() -> None:
+    w = wasm.WasmFileHandler("testfile.wasm", int_size=32)
+    c = Circuit(20, 20)
+    c0 = c.add_c_register("c0", 32)
+    c1 = c.add_c_register("c1", 4)
+
+    c.add_wasm_to_reg("add_one", w, [c0], [c1])
+    assert c.depth() == 1
+
+
+def test_wasm_function_check_8() -> None:
+    w = wasm.WasmFileHandler("testfile.wasm", int_size=64)
+    c = Circuit(20, 20)
+    c0 = c.add_c_register("c0", 32)
+    c1 = c.add_c_register("c1", 4)
+    c2 = c.add_c_register("c2", 5)
+
+    c.add_wasm_to_reg("add_something", w, [c0], [c1])
+    assert c.depth() == 1
+
+
+def test_wasm_function_check_9() -> None:
+    w = wasm.WasmFileHandler("testfile.wasm", int_size=64)
+    c = Circuit(20, 20)
+    c0 = c.add_c_register("c0", 53)
+    c1 = c.add_c_register("c1", 4)
     c2 = c.add_c_register("c2", 5)
 
     with pytest.raises(ValueError):
-        c.add_wasm_to_reg("add_one", w, [c0], [c1, c2])
+        c.add_wasm_to_reg("add_something", w, [c0], [c1])
 
 
 def test_add_wasm_to_reg() -> None:

From 0bad4856c2093bbdb0c7e93b2a2d5f8bde292377 Mon Sep 17 00:00:00 2001
From: yao-cqc <75305462+yao-cqc@users.noreply.github.com>
Date: Tue, 24 Oct 2023 11:13:21 +0100
Subject: [PATCH 04/36] Feature/add op types for cs and c sdg (#1091)

---
 pytket/binders/circuit/Circuit/add_op.cpp     |  44 ++++++
 pytket/binders/circuit/main.cpp               |   4 +
 pytket/binders/circuit_library.cpp            |  12 ++
 pytket/conanfile.py                           |   2 +-
 pytket/docs/changelog.rst                     |   1 +
 pytket/pytket/_tket/circuit.pyi               | 136 +++++++++++-------
 pytket/pytket/_tket/circuit_library.pyi       |  18 ++-
 pytket/pytket/circuit_library/__init__.py     |   2 +
 pytket/pytket/qasm/includes/_hqslib1_decls.py |   2 +-
 pytket/pytket/qasm/includes/_hqslib1_defs.py  |   2 +-
 .../qasm/includes/_hqslib1_dev_decls.py       |   2 +-
 .../pytket/qasm/includes/_hqslib1_dev_defs.py |   2 +-
 pytket/pytket/qasm/includes/_qelib1_decls.py  |   2 +-
 pytket/pytket/qasm/includes/_qelib1_defs.py   |   2 +-
 pytket/pytket/qasm/includes/hqslib1.inc       |   4 +
 pytket/pytket/qasm/includes/hqslib1_dev.inc   |   4 +
 pytket/pytket/qasm/includes/qelib1.inc        |   4 +
 pytket/pytket/qasm/qasm.py                    |   2 +
 pytket/tests/circuit_test.py                  |  21 ++-
 pytket/tests/utils_test.py                    |   2 +
 tket/conanfile.py                             |   2 +-
 tket/include/tket/Circuit/CircPool.hpp        |   6 +
 .../Gate/GateUnitaryMatrixImplementations.hpp |   2 +
 tket/include/tket/OpType/OpType.hpp           |  26 ++++
 tket/src/Circuit/CircPool.cpp                 |  12 ++
 tket/src/Circuit/CircUtils.cpp                |   8 ++
 tket/src/Circuit/latex_drawing.cpp            |   8 ++
 tket/src/Gate/Gate.cpp                        |  12 ++
 tket/src/Gate/GateUnitaryMatrix.cpp           |   2 +
 .../Gate/GateUnitaryMatrixFixedMatrices.cpp   |   6 +
 tket/src/OpType/OpTypeFunctions.cpp           |  65 ++++-----
 tket/src/OpType/OpTypeInfo.cpp                |   2 +
 tket/src/Transformations/Replacement.cpp      |   2 +
 tket/test/src/Circuit/test_Circ.cpp           |  37 +++++
 tket/test/src/Gate/GatesData.cpp              |   8 +-
 tket/test/src/Passes/test_SynthesiseTK.cpp    |   2 +
 .../src/Simulation/test_CircuitSimulator.cpp  |  16 +++
 .../test_RedundancyRemoval.cpp                |   6 +
 38 files changed, 391 insertions(+), 99 deletions(-)

diff --git a/pytket/binders/circuit/Circuit/add_op.cpp b/pytket/binders/circuit/Circuit/add_op.cpp
index bbce100dbb..a7a38daffd 100644
--- a/pytket/binders/circuit/Circuit/add_op.cpp
+++ b/pytket/binders/circuit/Circuit/add_op.cpp
@@ -1206,6 +1206,28 @@ void init_circuit_add_op(py::class_<Circuit, std::shared_ptr<Circuit>> &c) {
           "and target qubits."
           "\n\n:return: the new :py:class:`Circuit`",
           py::arg("control_qubit"), py::arg("target_qubit"))
+      .def(
+          "CS",
+          [](Circuit *circ, unsigned ctrl, unsigned trgt,
+             const py::kwargs &kwargs) {
+            return add_gate_method_noparams<unsigned>(
+                circ, OpType::CS, {ctrl, trgt}, kwargs);
+          },
+          "Appends a CS gate on the wires for the specified control "
+          "and target qubits."
+          "\n\n:return: the new :py:class:`Circuit`",
+          py::arg("control_qubit"), py::arg("target_qubit"))
+      .def(
+          "CSdg",
+          [](Circuit *circ, unsigned ctrl, unsigned trgt,
+             const py::kwargs &kwargs) {
+            return add_gate_method_noparams<unsigned>(
+                circ, OpType::CSdg, {ctrl, trgt}, kwargs);
+          },
+          "Appends a CSdg gate on the wires for the specified control "
+          "and target qubits."
+          "\n\n:return: the new :py:class:`Circuit`",
+          py::arg("control_qubit"), py::arg("target_qubit"))
       .def(
           "CRz",
           [](Circuit *circ, const Expr &angle, unsigned ctrl, unsigned trgt,
@@ -1797,6 +1819,28 @@ void init_circuit_add_op(py::class_<Circuit, std::shared_ptr<Circuit>> &c) {
           "and target qubits."
           "\n\n:return: the new :py:class:`Circuit`",
           py::arg("control_qubit"), py::arg("target_qubit"))
+      .def(
+          "CS",
+          [](Circuit *circ, const Qubit &ctrl, const Qubit &trgt,
+             const py::kwargs &kwargs) {
+            return add_gate_method_noparams<UnitID>(
+                circ, OpType::CS, {ctrl, trgt}, kwargs);
+          },
+          "Appends a CS gate on the wires for the specified control "
+          "and target qubits."
+          "\n\n:return: the new :py:class:`Circuit`",
+          py::arg("control_qubit"), py::arg("target_qubit"))
+      .def(
+          "CSdg",
+          [](Circuit *circ, const Qubit &ctrl, const Qubit &trgt,
+             const py::kwargs &kwargs) {
+            return add_gate_method_noparams<UnitID>(
+                circ, OpType::CSdg, {ctrl, trgt}, kwargs);
+          },
+          "Appends a CSdg gate on the wires for the specified control "
+          "and target qubits."
+          "\n\n:return: the new :py:class:`Circuit`",
+          py::arg("control_qubit"), py::arg("target_qubit"))
       .def(
           "CRz",
           [](Circuit *circ, const Expr &angle, const Qubit &ctrl,
diff --git a/pytket/binders/circuit/main.cpp b/pytket/binders/circuit/main.cpp
index 432fb466a0..d14ec311b1 100644
--- a/pytket/binders/circuit/main.cpp
+++ b/pytket/binders/circuit/main.cpp
@@ -209,6 +209,10 @@ PYBIND11_MODULE(circuit, m) {
       .value(
           "CSXdg", OpType::CSXdg,
           "Controlled :math:`\\mathrm{SX}^{\\dagger}` gate")
+      .value("CS", OpType::CS, "Controlled :math:`\\mathrm{S}` gate")
+      .value(
+          "CSdg", OpType::CSdg,
+          "Controlled :math:`\\mathrm{S}^{\\dagger}` gate")
       .value(
           "CRz", OpType::CRz,
           ":math:`(\\alpha) \\mapsto` Controlled "
diff --git a/pytket/binders/circuit_library.cpp b/pytket/binders/circuit_library.cpp
index 7786d5a464..8914230a96 100644
--- a/pytket/binders/circuit_library.cpp
+++ b/pytket/binders/circuit_library.cpp
@@ -158,6 +158,12 @@ PYBIND11_MODULE(circuit_library, library_m) {
   library_m.def(
       "CSXdg_using_CX", &CircPool::CSXdg_using_CX,
       "Equivalent to CSXdg, using CX and single-qubit gates");
+  library_m.def(
+      "CS_using_CX", &CircPool::CS_using_CX,
+      "Equivalent to CS, using CX and single-qubit gates");
+  library_m.def(
+      "CSdg_using_CX", &CircPool::CSdg_using_CX,
+      "Equivalent to CSdg, using CX and single-qubit gates");
   library_m.def(
       "CSWAP_using_CX", &CircPool::CSWAP_using_CX,
       "Equivalent to CSWAP, using CX and single-qubit gates ");
@@ -424,6 +430,12 @@ PYBIND11_MODULE(circuit_library, library_m) {
   library_m.def(
       "_CSXdg_using_CX", &CircPool::CSXdg_using_CX,
       "Equivalent to CSXdg, using CX and single-qubit gates");
+  library_m.def(
+      "_CS_using_CX", &CircPool::CS_using_CX,
+      "Equivalent to CS, using CX and single-qubit gates");
+  library_m.def(
+      "_CSdg_using_CX", &CircPool::CSdg_using_CX,
+      "Equivalent to CSdg, using CX and single-qubit gates");
   library_m.def(
       "_CSWAP_using_CX", &CircPool::CSWAP_using_CX,
       "Equivalent to CSWAP, using CX and single-qubit gates ");
diff --git a/pytket/conanfile.py b/pytket/conanfile.py
index 2fdd615d19..cd0a84ddc8 100644
--- a/pytket/conanfile.py
+++ b/pytket/conanfile.py
@@ -32,7 +32,7 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tket/1.2.60@tket/stable")
+        self.requires("tket/1.2.61@tket/stable")
         self.requires("tklog/0.3.3@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("tkassert/0.3.3@tket/stable")
diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index 0cb10e2bff..59f714cc6d 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -8,6 +8,7 @@ Minor new features:
 
 * Add optional parameter to QASM conversion methods to set the maximum allowed
   width of classical registers (default 32).
+* New ``OpType.CS`` and ``OpType.CSdg``.
 
 1.21.0 (October 2023)
 ---------------------
diff --git a/pytket/pytket/_tket/circuit.pyi b/pytket/pytket/_tket/circuit.pyi
index b079d941c4..a9c00a6819 100644
--- a/pytket/pytket/_tket/circuit.pyi
+++ b/pytket/pytket/_tket/circuit.pyi
@@ -219,6 +219,20 @@ class Circuit:
         :return: the new :py:class:`Circuit`
         """
     @typing.overload
+    def CS(self, control_qubit: int, target_qubit: int, **kwargs: Any) -> Circuit:
+        """
+        Appends a CS gate on the wires for the specified control and target qubits.
+        
+        :return: the new :py:class:`Circuit`
+        """
+    @typing.overload
+    def CS(self, control_qubit: pytket._tket.unit_id.Qubit, target_qubit: pytket._tket.unit_id.Qubit, **kwargs: Any) -> Circuit:
+        """
+        Appends a CS gate on the wires for the specified control and target qubits.
+        
+        :return: the new :py:class:`Circuit`
+        """
+    @typing.overload
     def CSWAP(self, control: int, target_0: int, target_1: int, **kwargs: Any) -> Circuit:
         """
         Appends a CSWAP gate on the wires for the specified control and target qubits.
@@ -261,6 +275,20 @@ class Circuit:
         :return: the new :py:class:`Circuit`
         """
     @typing.overload
+    def CSdg(self, control_qubit: int, target_qubit: int, **kwargs: Any) -> Circuit:
+        """
+        Appends a CSdg gate on the wires for the specified control and target qubits.
+        
+        :return: the new :py:class:`Circuit`
+        """
+    @typing.overload
+    def CSdg(self, control_qubit: pytket._tket.unit_id.Qubit, target_qubit: pytket._tket.unit_id.Qubit, **kwargs: Any) -> Circuit:
+        """
+        Appends a CSdg gate on the wires for the specified control and target qubits.
+        
+        :return: the new :py:class:`Circuit`
+        """
+    @typing.overload
     def CU1(self, angle: sympy.Expr | float, control_qubit: int, target_qubit: int, **kwargs: Any) -> Circuit:
         """
         Appends a CU1 gate with a possibly symbolic angle (specified in half-turns) on the wires for the specified control and target qubits.
@@ -2907,6 +2935,10 @@ class OpType:
     
       CSXdg : Controlled :math:`\mathrm{SX}^{\dagger}` gate
     
+      CS : Controlled :math:`\mathrm{S}` gate
+    
+      CSdg : Controlled :math:`\mathrm{S}^{\dagger}` gate
+    
       CRz : :math:`(\alpha) \mapsto` Controlled :math:`\mathrm{Rz}(\alpha)` gate
     
       CRx : :math:`(\alpha) \mapsto` Controlled :math:`\mathrm{Rx}(\alpha)` gate
@@ -3033,99 +3065,101 @@ class OpType:
     
       DiagonalBox : A box for synthesising a diagonal unitary matrix into a sequence of multiplexed-Rz gates
     """
-    BRIDGE: typing.ClassVar[OpType]  # value = <OpType.BRIDGE: 59>
+    BRIDGE: typing.ClassVar[OpType]  # value = <OpType.BRIDGE: 61>
     Barrier: typing.ClassVar[OpType]  # value = <OpType.Barrier: 8>
     Branch: typing.ClassVar[OpType]  # value = <OpType.Branch: 10>
-    CCX: typing.ClassVar[OpType]  # value = <OpType.CCX: 56>
+    CCX: typing.ClassVar[OpType]  # value = <OpType.CCX: 58>
     CH: typing.ClassVar[OpType]  # value = <OpType.CH: 45>
-    CRx: typing.ClassVar[OpType]  # value = <OpType.CRx: 51>
-    CRy: typing.ClassVar[OpType]  # value = <OpType.CRy: 52>
-    CRz: typing.ClassVar[OpType]  # value = <OpType.CRz: 50>
-    CSWAP: typing.ClassVar[OpType]  # value = <OpType.CSWAP: 58>
+    CRx: typing.ClassVar[OpType]  # value = <OpType.CRx: 53>
+    CRy: typing.ClassVar[OpType]  # value = <OpType.CRy: 54>
+    CRz: typing.ClassVar[OpType]  # value = <OpType.CRz: 52>
+    CS: typing.ClassVar[OpType]  # value = <OpType.CS: 50>
+    CSWAP: typing.ClassVar[OpType]  # value = <OpType.CSWAP: 60>
     CSX: typing.ClassVar[OpType]  # value = <OpType.CSX: 48>
     CSXdg: typing.ClassVar[OpType]  # value = <OpType.CSXdg: 49>
-    CU1: typing.ClassVar[OpType]  # value = <OpType.CU1: 53>
-    CU3: typing.ClassVar[OpType]  # value = <OpType.CU3: 54>
+    CSdg: typing.ClassVar[OpType]  # value = <OpType.CSdg: 51>
+    CU1: typing.ClassVar[OpType]  # value = <OpType.CU1: 55>
+    CU3: typing.ClassVar[OpType]  # value = <OpType.CU3: 56>
     CV: typing.ClassVar[OpType]  # value = <OpType.CV: 46>
     CVdg: typing.ClassVar[OpType]  # value = <OpType.CVdg: 47>
     CX: typing.ClassVar[OpType]  # value = <OpType.CX: 42>
     CY: typing.ClassVar[OpType]  # value = <OpType.CY: 43>
     CZ: typing.ClassVar[OpType]  # value = <OpType.CZ: 44>
-    CircBox: typing.ClassVar[OpType]  # value = <OpType.CircBox: 82>
-    ClassicalExpBox: typing.ClassVar[OpType]  # value = <OpType.ClassicalExpBox: 101>
+    CircBox: typing.ClassVar[OpType]  # value = <OpType.CircBox: 84>
+    ClassicalExpBox: typing.ClassVar[OpType]  # value = <OpType.ClassicalExpBox: 103>
     ClassicalTransform: typing.ClassVar[OpType]  # value = <OpType.ClassicalTransform: 13>
-    CnRy: typing.ClassVar[OpType]  # value = <OpType.CnRy: 78>
-    CnX: typing.ClassVar[OpType]  # value = <OpType.CnX: 79>
-    CnY: typing.ClassVar[OpType]  # value = <OpType.CnY: 81>
-    CnZ: typing.ClassVar[OpType]  # value = <OpType.CnZ: 80>
-    Conditional: typing.ClassVar[OpType]  # value = <OpType.Conditional: 102>
+    CnRy: typing.ClassVar[OpType]  # value = <OpType.CnRy: 80>
+    CnX: typing.ClassVar[OpType]  # value = <OpType.CnX: 81>
+    CnY: typing.ClassVar[OpType]  # value = <OpType.CnY: 83>
+    CnZ: typing.ClassVar[OpType]  # value = <OpType.CnZ: 82>
+    Conditional: typing.ClassVar[OpType]  # value = <OpType.Conditional: 104>
     CopyBits: typing.ClassVar[OpType]  # value = <OpType.CopyBits: 16>
-    CustomGate: typing.ClassVar[OpType]  # value = <OpType.CustomGate: 91>
-    DiagonalBox: typing.ClassVar[OpType]  # value = <OpType.DiagonalBox: 99>
-    ECR: typing.ClassVar[OpType]  # value = <OpType.ECR: 64>
-    ESWAP: typing.ClassVar[OpType]  # value = <OpType.ESWAP: 73>
-    ExpBox: typing.ClassVar[OpType]  # value = <OpType.ExpBox: 86>
+    CustomGate: typing.ClassVar[OpType]  # value = <OpType.CustomGate: 93>
+    DiagonalBox: typing.ClassVar[OpType]  # value = <OpType.DiagonalBox: 101>
+    ECR: typing.ClassVar[OpType]  # value = <OpType.ECR: 66>
+    ESWAP: typing.ClassVar[OpType]  # value = <OpType.ESWAP: 75>
+    ExpBox: typing.ClassVar[OpType]  # value = <OpType.ExpBox: 88>
     ExplicitModifier: typing.ClassVar[OpType]  # value = <OpType.ExplicitModifier: 19>
     ExplicitPredicate: typing.ClassVar[OpType]  # value = <OpType.ExplicitPredicate: 18>
-    FSim: typing.ClassVar[OpType]  # value = <OpType.FSim: 74>
+    FSim: typing.ClassVar[OpType]  # value = <OpType.FSim: 76>
     Goto: typing.ClassVar[OpType]  # value = <OpType.Goto: 11>
     H: typing.ClassVar[OpType]  # value = <OpType.H: 33>
-    ISWAP: typing.ClassVar[OpType]  # value = <OpType.ISWAP: 65>
-    ISWAPMax: typing.ClassVar[OpType]  # value = <OpType.ISWAPMax: 76>
+    ISWAP: typing.ClassVar[OpType]  # value = <OpType.ISWAP: 67>
+    ISWAPMax: typing.ClassVar[OpType]  # value = <OpType.ISWAPMax: 78>
     Label: typing.ClassVar[OpType]  # value = <OpType.Label: 9>
-    Measure: typing.ClassVar[OpType]  # value = <OpType.Measure: 61>
+    Measure: typing.ClassVar[OpType]  # value = <OpType.Measure: 63>
     MultiBit: typing.ClassVar[OpType]  # value = <OpType.MultiBit: 20>
-    MultiplexedRotationBox: typing.ClassVar[OpType]  # value = <OpType.MultiplexedRotationBox: 95>
-    MultiplexedTensoredU2Box: typing.ClassVar[OpType]  # value = <OpType.MultiplexedTensoredU2Box: 97>
-    MultiplexedU2Box: typing.ClassVar[OpType]  # value = <OpType.MultiplexedU2Box: 96>
-    MultiplexorBox: typing.ClassVar[OpType]  # value = <OpType.MultiplexorBox: 94>
-    NPhasedX: typing.ClassVar[OpType]  # value = <OpType.NPhasedX: 67>
-    PauliExpBox: typing.ClassVar[OpType]  # value = <OpType.PauliExpBox: 87>
-    PauliExpCommutingSetBox: typing.ClassVar[OpType]  # value = <OpType.PauliExpCommutingSetBox: 89>
-    PauliExpPairBox: typing.ClassVar[OpType]  # value = <OpType.PauliExpPairBox: 88>
+    MultiplexedRotationBox: typing.ClassVar[OpType]  # value = <OpType.MultiplexedRotationBox: 97>
+    MultiplexedTensoredU2Box: typing.ClassVar[OpType]  # value = <OpType.MultiplexedTensoredU2Box: 99>
+    MultiplexedU2Box: typing.ClassVar[OpType]  # value = <OpType.MultiplexedU2Box: 98>
+    MultiplexorBox: typing.ClassVar[OpType]  # value = <OpType.MultiplexorBox: 96>
+    NPhasedX: typing.ClassVar[OpType]  # value = <OpType.NPhasedX: 69>
+    PauliExpBox: typing.ClassVar[OpType]  # value = <OpType.PauliExpBox: 89>
+    PauliExpCommutingSetBox: typing.ClassVar[OpType]  # value = <OpType.PauliExpCommutingSetBox: 91>
+    PauliExpPairBox: typing.ClassVar[OpType]  # value = <OpType.PauliExpPairBox: 90>
     Phase: typing.ClassVar[OpType]  # value = <OpType.Phase: 21>
-    PhasePolyBox: typing.ClassVar[OpType]  # value = <OpType.PhasePolyBox: 92>
-    PhasedISWAP: typing.ClassVar[OpType]  # value = <OpType.PhasedISWAP: 77>
-    PhasedX: typing.ClassVar[OpType]  # value = <OpType.PhasedX: 66>
-    QControlBox: typing.ClassVar[OpType]  # value = <OpType.QControlBox: 93>
+    PhasePolyBox: typing.ClassVar[OpType]  # value = <OpType.PhasePolyBox: 94>
+    PhasedISWAP: typing.ClassVar[OpType]  # value = <OpType.PhasedISWAP: 79>
+    PhasedX: typing.ClassVar[OpType]  # value = <OpType.PhasedX: 68>
+    QControlBox: typing.ClassVar[OpType]  # value = <OpType.QControlBox: 95>
     RangePredicate: typing.ClassVar[OpType]  # value = <OpType.RangePredicate: 17>
-    Reset: typing.ClassVar[OpType]  # value = <OpType.Reset: 63>
+    Reset: typing.ClassVar[OpType]  # value = <OpType.Reset: 65>
     Rx: typing.ClassVar[OpType]  # value = <OpType.Rx: 34>
     Ry: typing.ClassVar[OpType]  # value = <OpType.Ry: 35>
     Rz: typing.ClassVar[OpType]  # value = <OpType.Rz: 36>
     S: typing.ClassVar[OpType]  # value = <OpType.S: 25>
-    SWAP: typing.ClassVar[OpType]  # value = <OpType.SWAP: 57>
+    SWAP: typing.ClassVar[OpType]  # value = <OpType.SWAP: 59>
     SX: typing.ClassVar[OpType]  # value = <OpType.SX: 31>
     SXdg: typing.ClassVar[OpType]  # value = <OpType.SXdg: 32>
     Sdg: typing.ClassVar[OpType]  # value = <OpType.Sdg: 26>
     SetBits: typing.ClassVar[OpType]  # value = <OpType.SetBits: 15>
-    StatePreparationBox: typing.ClassVar[OpType]  # value = <OpType.StatePreparationBox: 98>
+    StatePreparationBox: typing.ClassVar[OpType]  # value = <OpType.StatePreparationBox: 100>
     Stop: typing.ClassVar[OpType]  # value = <OpType.Stop: 12>
-    Sycamore: typing.ClassVar[OpType]  # value = <OpType.Sycamore: 75>
+    Sycamore: typing.ClassVar[OpType]  # value = <OpType.Sycamore: 77>
     T: typing.ClassVar[OpType]  # value = <OpType.T: 27>
     TK1: typing.ClassVar[OpType]  # value = <OpType.TK1: 40>
     TK2: typing.ClassVar[OpType]  # value = <OpType.TK2: 41>
     Tdg: typing.ClassVar[OpType]  # value = <OpType.Tdg: 28>
-    ToffoliBox: typing.ClassVar[OpType]  # value = <OpType.ToffoliBox: 105>
+    ToffoliBox: typing.ClassVar[OpType]  # value = <OpType.ToffoliBox: 107>
     U1: typing.ClassVar[OpType]  # value = <OpType.U1: 39>
     U2: typing.ClassVar[OpType]  # value = <OpType.U2: 38>
     U3: typing.ClassVar[OpType]  # value = <OpType.U3: 37>
-    Unitary1qBox: typing.ClassVar[OpType]  # value = <OpType.Unitary1qBox: 83>
-    Unitary2qBox: typing.ClassVar[OpType]  # value = <OpType.Unitary2qBox: 84>
-    Unitary3qBox: typing.ClassVar[OpType]  # value = <OpType.Unitary3qBox: 85>
+    Unitary1qBox: typing.ClassVar[OpType]  # value = <OpType.Unitary1qBox: 85>
+    Unitary2qBox: typing.ClassVar[OpType]  # value = <OpType.Unitary2qBox: 86>
+    Unitary3qBox: typing.ClassVar[OpType]  # value = <OpType.Unitary3qBox: 87>
     V: typing.ClassVar[OpType]  # value = <OpType.V: 29>
     Vdg: typing.ClassVar[OpType]  # value = <OpType.Vdg: 30>
     WASM: typing.ClassVar[OpType]  # value = <OpType.WASM: 14>
     X: typing.ClassVar[OpType]  # value = <OpType.X: 23>
-    XXPhase: typing.ClassVar[OpType]  # value = <OpType.XXPhase: 69>
-    XXPhase3: typing.ClassVar[OpType]  # value = <OpType.XXPhase3: 72>
+    XXPhase: typing.ClassVar[OpType]  # value = <OpType.XXPhase: 71>
+    XXPhase3: typing.ClassVar[OpType]  # value = <OpType.XXPhase3: 74>
     Y: typing.ClassVar[OpType]  # value = <OpType.Y: 24>
-    YYPhase: typing.ClassVar[OpType]  # value = <OpType.YYPhase: 70>
+    YYPhase: typing.ClassVar[OpType]  # value = <OpType.YYPhase: 72>
     Z: typing.ClassVar[OpType]  # value = <OpType.Z: 22>
-    ZZMax: typing.ClassVar[OpType]  # value = <OpType.ZZMax: 68>
-    ZZPhase: typing.ClassVar[OpType]  # value = <OpType.ZZPhase: 71>
-    __members__: typing.ClassVar[dict[str, OpType]]  # value = {'Phase': <OpType.Phase: 21>, 'Z': <OpType.Z: 22>, 'X': <OpType.X: 23>, 'Y': <OpType.Y: 24>, 'S': <OpType.S: 25>, 'Sdg': <OpType.Sdg: 26>, 'T': <OpType.T: 27>, 'Tdg': <OpType.Tdg: 28>, 'V': <OpType.V: 29>, 'Vdg': <OpType.Vdg: 30>, 'SX': <OpType.SX: 31>, 'SXdg': <OpType.SXdg: 32>, 'H': <OpType.H: 33>, 'Rx': <OpType.Rx: 34>, 'Ry': <OpType.Ry: 35>, 'Rz': <OpType.Rz: 36>, 'U1': <OpType.U1: 39>, 'U2': <OpType.U2: 38>, 'U3': <OpType.U3: 37>, 'TK1': <OpType.TK1: 40>, 'TK2': <OpType.TK2: 41>, 'CX': <OpType.CX: 42>, 'CY': <OpType.CY: 43>, 'CZ': <OpType.CZ: 44>, 'CH': <OpType.CH: 45>, 'CV': <OpType.CV: 46>, 'CVdg': <OpType.CVdg: 47>, 'CSX': <OpType.CSX: 48>, 'CSXdg': <OpType.CSXdg: 49>, 'CRz': <OpType.CRz: 50>, 'CRx': <OpType.CRx: 51>, 'CRy': <OpType.CRy: 52>, 'CU1': <OpType.CU1: 53>, 'CU3': <OpType.CU3: 54>, 'CCX': <OpType.CCX: 56>, 'ECR': <OpType.ECR: 64>, 'SWAP': <OpType.SWAP: 57>, 'CSWAP': <OpType.CSWAP: 58>, 'noop': <OpType.noop: 60>, 'Barrier': <OpType.Barrier: 8>, 'Label': <OpType.Label: 9>, 'Branch': <OpType.Branch: 10>, 'Goto': <OpType.Goto: 11>, 'Stop': <OpType.Stop: 12>, 'BRIDGE': <OpType.BRIDGE: 59>, 'Measure': <OpType.Measure: 61>, 'Reset': <OpType.Reset: 63>, 'CircBox': <OpType.CircBox: 82>, 'PhasePolyBox': <OpType.PhasePolyBox: 92>, 'Unitary1qBox': <OpType.Unitary1qBox: 83>, 'Unitary2qBox': <OpType.Unitary2qBox: 84>, 'Unitary3qBox': <OpType.Unitary3qBox: 85>, 'ExpBox': <OpType.ExpBox: 86>, 'PauliExpBox': <OpType.PauliExpBox: 87>, 'PauliExpPairBox': <OpType.PauliExpPairBox: 88>, 'PauliExpCommutingSetBox': <OpType.PauliExpCommutingSetBox: 89>, 'QControlBox': <OpType.QControlBox: 93>, 'ToffoliBox': <OpType.ToffoliBox: 105>, 'CustomGate': <OpType.CustomGate: 91>, 'Conditional': <OpType.Conditional: 102>, 'ISWAP': <OpType.ISWAP: 65>, 'PhasedISWAP': <OpType.PhasedISWAP: 77>, 'XXPhase': <OpType.XXPhase: 69>, 'YYPhase': <OpType.YYPhase: 70>, 'ZZPhase': <OpType.ZZPhase: 71>, 'XXPhase3': <OpType.XXPhase3: 72>, 'PhasedX': <OpType.PhasedX: 66>, 'NPhasedX': <OpType.NPhasedX: 67>, 'CnRy': <OpType.CnRy: 78>, 'CnX': <OpType.CnX: 79>, 'CnY': <OpType.CnY: 81>, 'CnZ': <OpType.CnZ: 80>, 'ZZMax': <OpType.ZZMax: 68>, 'ESWAP': <OpType.ESWAP: 73>, 'FSim': <OpType.FSim: 74>, 'Sycamore': <OpType.Sycamore: 75>, 'ISWAPMax': <OpType.ISWAPMax: 76>, 'ClassicalTransform': <OpType.ClassicalTransform: 13>, 'WASM': <OpType.WASM: 14>, 'SetBits': <OpType.SetBits: 15>, 'CopyBits': <OpType.CopyBits: 16>, 'RangePredicate': <OpType.RangePredicate: 17>, 'ExplicitPredicate': <OpType.ExplicitPredicate: 18>, 'ExplicitModifier': <OpType.ExplicitModifier: 19>, 'MultiBit': <OpType.MultiBit: 20>, 'ClassicalExpBox': <OpType.ClassicalExpBox: 101>, 'MultiplexorBox': <OpType.MultiplexorBox: 94>, 'MultiplexedRotationBox': <OpType.MultiplexedRotationBox: 95>, 'MultiplexedU2Box': <OpType.MultiplexedU2Box: 96>, 'MultiplexedTensoredU2Box': <OpType.MultiplexedTensoredU2Box: 97>, 'StatePreparationBox': <OpType.StatePreparationBox: 98>, 'DiagonalBox': <OpType.DiagonalBox: 99>}
-    noop: typing.ClassVar[OpType]  # value = <OpType.noop: 60>
+    ZZMax: typing.ClassVar[OpType]  # value = <OpType.ZZMax: 70>
+    ZZPhase: typing.ClassVar[OpType]  # value = <OpType.ZZPhase: 73>
+    __members__: typing.ClassVar[dict[str, OpType]]  # value = {'Phase': <OpType.Phase: 21>, 'Z': <OpType.Z: 22>, 'X': <OpType.X: 23>, 'Y': <OpType.Y: 24>, 'S': <OpType.S: 25>, 'Sdg': <OpType.Sdg: 26>, 'T': <OpType.T: 27>, 'Tdg': <OpType.Tdg: 28>, 'V': <OpType.V: 29>, 'Vdg': <OpType.Vdg: 30>, 'SX': <OpType.SX: 31>, 'SXdg': <OpType.SXdg: 32>, 'H': <OpType.H: 33>, 'Rx': <OpType.Rx: 34>, 'Ry': <OpType.Ry: 35>, 'Rz': <OpType.Rz: 36>, 'U1': <OpType.U1: 39>, 'U2': <OpType.U2: 38>, 'U3': <OpType.U3: 37>, 'TK1': <OpType.TK1: 40>, 'TK2': <OpType.TK2: 41>, 'CX': <OpType.CX: 42>, 'CY': <OpType.CY: 43>, 'CZ': <OpType.CZ: 44>, 'CH': <OpType.CH: 45>, 'CV': <OpType.CV: 46>, 'CVdg': <OpType.CVdg: 47>, 'CSX': <OpType.CSX: 48>, 'CSXdg': <OpType.CSXdg: 49>, 'CS': <OpType.CS: 50>, 'CSdg': <OpType.CSdg: 51>, 'CRz': <OpType.CRz: 52>, 'CRx': <OpType.CRx: 53>, 'CRy': <OpType.CRy: 54>, 'CU1': <OpType.CU1: 55>, 'CU3': <OpType.CU3: 56>, 'CCX': <OpType.CCX: 58>, 'ECR': <OpType.ECR: 66>, 'SWAP': <OpType.SWAP: 59>, 'CSWAP': <OpType.CSWAP: 60>, 'noop': <OpType.noop: 62>, 'Barrier': <OpType.Barrier: 8>, 'Label': <OpType.Label: 9>, 'Branch': <OpType.Branch: 10>, 'Goto': <OpType.Goto: 11>, 'Stop': <OpType.Stop: 12>, 'BRIDGE': <OpType.BRIDGE: 61>, 'Measure': <OpType.Measure: 63>, 'Reset': <OpType.Reset: 65>, 'CircBox': <OpType.CircBox: 84>, 'PhasePolyBox': <OpType.PhasePolyBox: 94>, 'Unitary1qBox': <OpType.Unitary1qBox: 85>, 'Unitary2qBox': <OpType.Unitary2qBox: 86>, 'Unitary3qBox': <OpType.Unitary3qBox: 87>, 'ExpBox': <OpType.ExpBox: 88>, 'PauliExpBox': <OpType.PauliExpBox: 89>, 'PauliExpPairBox': <OpType.PauliExpPairBox: 90>, 'PauliExpCommutingSetBox': <OpType.PauliExpCommutingSetBox: 91>, 'QControlBox': <OpType.QControlBox: 95>, 'ToffoliBox': <OpType.ToffoliBox: 107>, 'CustomGate': <OpType.CustomGate: 93>, 'Conditional': <OpType.Conditional: 104>, 'ISWAP': <OpType.ISWAP: 67>, 'PhasedISWAP': <OpType.PhasedISWAP: 79>, 'XXPhase': <OpType.XXPhase: 71>, 'YYPhase': <OpType.YYPhase: 72>, 'ZZPhase': <OpType.ZZPhase: 73>, 'XXPhase3': <OpType.XXPhase3: 74>, 'PhasedX': <OpType.PhasedX: 68>, 'NPhasedX': <OpType.NPhasedX: 69>, 'CnRy': <OpType.CnRy: 80>, 'CnX': <OpType.CnX: 81>, 'CnY': <OpType.CnY: 83>, 'CnZ': <OpType.CnZ: 82>, 'ZZMax': <OpType.ZZMax: 70>, 'ESWAP': <OpType.ESWAP: 75>, 'FSim': <OpType.FSim: 76>, 'Sycamore': <OpType.Sycamore: 77>, 'ISWAPMax': <OpType.ISWAPMax: 78>, 'ClassicalTransform': <OpType.ClassicalTransform: 13>, 'WASM': <OpType.WASM: 14>, 'SetBits': <OpType.SetBits: 15>, 'CopyBits': <OpType.CopyBits: 16>, 'RangePredicate': <OpType.RangePredicate: 17>, 'ExplicitPredicate': <OpType.ExplicitPredicate: 18>, 'ExplicitModifier': <OpType.ExplicitModifier: 19>, 'MultiBit': <OpType.MultiBit: 20>, 'ClassicalExpBox': <OpType.ClassicalExpBox: 103>, 'MultiplexorBox': <OpType.MultiplexorBox: 96>, 'MultiplexedRotationBox': <OpType.MultiplexedRotationBox: 97>, 'MultiplexedU2Box': <OpType.MultiplexedU2Box: 98>, 'MultiplexedTensoredU2Box': <OpType.MultiplexedTensoredU2Box: 99>, 'StatePreparationBox': <OpType.StatePreparationBox: 100>, 'DiagonalBox': <OpType.DiagonalBox: 101>}
+    noop: typing.ClassVar[OpType]  # value = <OpType.noop: 62>
     @staticmethod
     def from_name(arg0: str) -> OpType:
         """
diff --git a/pytket/pytket/_tket/circuit_library.pyi b/pytket/pytket/_tket/circuit_library.pyi
index 6b0cd2ae43..4224fa6173 100644
--- a/pytket/pytket/_tket/circuit_library.pyi
+++ b/pytket/pytket/_tket/circuit_library.pyi
@@ -2,7 +2,7 @@ from __future__ import annotations
 import pytket._tket.circuit
 import sympy
 import typing
-__all__ = ['BRIDGE', 'BRIDGE_using_CX_0', 'BRIDGE_using_CX_1', 'C3X_normal_decomp', 'C4X_normal_decomp', 'CCX', 'CCX_modulo_phase_shift', 'CCX_normal_decomp', 'CH_using_CX', 'CRx_using_CX', 'CRx_using_TK2', 'CRy_using_CX', 'CRy_using_TK2', 'CRz_using_CX', 'CRz_using_TK2', 'CSWAP_using_CX', 'CSX_using_CX', 'CSXdg_using_CX', 'CU1_using_CX', 'CU1_using_TK2', 'CU3_using_CX', 'CV_using_CX', 'CVdg_using_CX', 'CX', 'CX_S_CX_reduced', 'CX_S_V_XC_reduced', 'CX_VS_CX_reduced', 'CX_V_CX_reduced', 'CX_V_S_XC_reduced', 'CX_XC_reduced', 'CX_using_ECR', 'CX_using_TK2', 'CX_using_XXPhase_0', 'CX_using_XXPhase_1', 'CX_using_ZZMax', 'CX_using_ZZPhase', 'CX_using_flipped_CX', 'CY_using_CX', 'CZ_using_CX', 'ECR_using_CX', 'ESWAP_using_CX', 'ESWAP_using_TK2', 'FSim_using_CX', 'FSim_using_TK2', 'H_CZ_H', 'ISWAP_using_CX', 'ISWAP_using_TK2', 'NPhasedX_using_PhasedX', 'PhasedISWAP_using_CX', 'PhasedISWAP_using_TK2', 'SWAP_using_CX_0', 'SWAP_using_CX_1', 'TK1_to_PhasedXRz', 'TK1_to_RzH', 'TK1_to_RzRx', 'TK1_to_RzSX', 'TK1_to_TK1', 'TK2_using_3xCX', 'TK2_using_CX', 'TK2_using_CX_and_swap', 'TK2_using_TK2_or_swap', 'TK2_using_ZZMax', 'TK2_using_ZZMax_and_swap', 'TK2_using_ZZPhase', 'TK2_using_ZZPhase_and_swap', 'TK2_using_normalised_TK2', 'X', 'X1_CX', 'XXPhase3_using_CX', 'XXPhase3_using_TK2', 'XXPhase_using_CX', 'XXPhase_using_TK2', 'YYPhase_using_CX', 'YYPhase_using_TK2', 'Z0_CX', 'ZZMax_using_CX', 'ZZPhase_using_CX', 'ZZPhase_using_TK2', 'approx_TK2_using_1xCX', 'approx_TK2_using_1xZZPhase', 'approx_TK2_using_2xCX', 'approx_TK2_using_2xZZPhase', 'ladder_down', 'ladder_down_2', 'ladder_up', 'two_Rz1']
+__all__ = ['BRIDGE', 'BRIDGE_using_CX_0', 'BRIDGE_using_CX_1', 'C3X_normal_decomp', 'C4X_normal_decomp', 'CCX', 'CCX_modulo_phase_shift', 'CCX_normal_decomp', 'CH_using_CX', 'CRx_using_CX', 'CRx_using_TK2', 'CRy_using_CX', 'CRy_using_TK2', 'CRz_using_CX', 'CRz_using_TK2', 'CSWAP_using_CX', 'CSX_using_CX', 'CSXdg_using_CX', 'CS_using_CX', 'CSdg_using_CX', 'CU1_using_CX', 'CU1_using_TK2', 'CU3_using_CX', 'CV_using_CX', 'CVdg_using_CX', 'CX', 'CX_S_CX_reduced', 'CX_S_V_XC_reduced', 'CX_VS_CX_reduced', 'CX_V_CX_reduced', 'CX_V_S_XC_reduced', 'CX_XC_reduced', 'CX_using_ECR', 'CX_using_TK2', 'CX_using_XXPhase_0', 'CX_using_XXPhase_1', 'CX_using_ZZMax', 'CX_using_ZZPhase', 'CX_using_flipped_CX', 'CY_using_CX', 'CZ_using_CX', 'ECR_using_CX', 'ESWAP_using_CX', 'ESWAP_using_TK2', 'FSim_using_CX', 'FSim_using_TK2', 'H_CZ_H', 'ISWAP_using_CX', 'ISWAP_using_TK2', 'NPhasedX_using_PhasedX', 'PhasedISWAP_using_CX', 'PhasedISWAP_using_TK2', 'SWAP_using_CX_0', 'SWAP_using_CX_1', 'TK1_to_PhasedXRz', 'TK1_to_RzH', 'TK1_to_RzRx', 'TK1_to_RzSX', 'TK1_to_TK1', 'TK2_using_3xCX', 'TK2_using_CX', 'TK2_using_CX_and_swap', 'TK2_using_TK2_or_swap', 'TK2_using_ZZMax', 'TK2_using_ZZMax_and_swap', 'TK2_using_ZZPhase', 'TK2_using_ZZPhase_and_swap', 'TK2_using_normalised_TK2', 'X', 'X1_CX', 'XXPhase3_using_CX', 'XXPhase3_using_TK2', 'XXPhase_using_CX', 'XXPhase_using_TK2', 'YYPhase_using_CX', 'YYPhase_using_TK2', 'Z0_CX', 'ZZMax_using_CX', 'ZZPhase_using_CX', 'ZZPhase_using_TK2', 'approx_TK2_using_1xCX', 'approx_TK2_using_1xZZPhase', 'approx_TK2_using_2xCX', 'approx_TK2_using_2xZZPhase', 'ladder_down', 'ladder_down_2', 'ladder_up', 'two_Rz1']
 def BRIDGE() -> pytket._tket.circuit.Circuit:
     """
     Just a BRIDGE[0,1,2] gate
@@ -75,6 +75,14 @@ def CSXdg_using_CX() -> pytket._tket.circuit.Circuit:
     """
     Equivalent to CSXdg, using CX and single-qubit gates
     """
+def CS_using_CX() -> pytket._tket.circuit.Circuit:
+    """
+    Equivalent to CS, using CX and single-qubit gates
+    """
+def CSdg_using_CX() -> pytket._tket.circuit.Circuit:
+    """
+    Equivalent to CSdg, using CX and single-qubit gates
+    """
 def CU1_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
     """
     Equivalent to CU1, using CX and U1 gates
@@ -389,6 +397,14 @@ def _CSXdg_using_CX() -> pytket._tket.circuit.Circuit:
     """
     Equivalent to CSXdg, using CX and single-qubit gates
     """
+def _CS_using_CX() -> pytket._tket.circuit.Circuit:
+    """
+    Equivalent to CS, using CX and single-qubit gates
+    """
+def _CSdg_using_CX() -> pytket._tket.circuit.Circuit:
+    """
+    Equivalent to CSdg, using CX and single-qubit gates
+    """
 def _CU1_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
     """
     Equivalent to CU1, using CX and U1 gates
diff --git a/pytket/pytket/circuit_library/__init__.py b/pytket/pytket/circuit_library/__init__.py
index a860d0f1a2..81868ba880 100644
--- a/pytket/pytket/circuit_library/__init__.py
+++ b/pytket/pytket/circuit_library/__init__.py
@@ -57,6 +57,8 @@
     CVdg_using_CX,
     CSX_using_CX,
     CSXdg_using_CX,
+    CS_using_CX,
+    CSdg_using_CX,
     CSWAP_using_CX,
     ECR_using_CX,
     ZZMax_using_CX,
diff --git a/pytket/pytket/qasm/includes/_hqslib1_decls.py b/pytket/pytket/qasm/includes/_hqslib1_decls.py
index 1d777b45be..cc7eb9c69f 100644
--- a/pytket/pytket/qasm/includes/_hqslib1_decls.py
+++ b/pytket/pytket/qasm/includes/_hqslib1_decls.py
@@ -1,2 +1,2 @@
 """DO NOT EDIT! GENERATED BY load_includes.py."""
-_INCLUDE_DECLS={'Rz': {'args': ['lam'], 'name': 'Rz'}, 'U1q': {'args': ['theta', 'phi'], 'name': 'U1q'}, 'ZZ': {'args': [], 'name': 'ZZ'}, 'RZZ': {'args': ['theta'], 'name': 'RZZ'}, 'Rxxyyzz': {'args': ['alpha', 'beta', 'gamma'], 'name': 'Rxxyyzz'}, 'Rxxyyzz_zphase': {'args': ['alpha', 'beta', 'gamma', 'z0', 'z1'], 'name': 'Rxxyyzz_zphase'}, 'U': {'args': ['theta', 'phi', 'lam'], 'name': 'U'}, 'x': {'args': [], 'name': 'x'}, 'y': {'args': [], 'name': 'y'}, 'z': {'args': [], 'name': 'z'}, 'CX': {'args': [], 'name': 'CX'}, 'cx': {'args': [], 'name': 'cx'}, 'h': {'args': [], 'name': 'h'}, 's': {'args': [], 'name': 's'}, 'sdg': {'args': [], 'name': 'sdg'}, 't': {'args': [], 'name': 't'}, 'tdg': {'args': [], 'name': 'tdg'}, 'rx': {'args': ['theta'], 'name': 'rx'}, 'ry': {'args': ['theta'], 'name': 'ry'}, 'rz': {'args': ['phi'], 'name': 'rz'}, 'cz': {'args': [], 'name': 'cz'}, 'cy': {'args': [], 'name': 'cy'}, 'ch': {'args': [], 'name': 'ch'}, 'ccx': {'args': [], 'name': 'ccx'}, 'crz': {'args': ['lam'], 'name': 'crz'}, 'cu1': {'args': ['lam'], 'name': 'cu1'}, 'cu3': {'args': ['theta', 'phi', 'lam'], 'name': 'cu3'}, 'csx': {'args': [], 'name': 'csx'}, 'cu': {'args': ['theta', 'phi', 'lam', 'gamma'], 'name': 'cu'}, 'u': {'args': ['theta', 'phi', 'lam'], 'name': 'u'}, 'u3': {'args': ['theta', 'phi', 'lam'], 'name': 'u3'}, 'u2': {'args': ['phi', 'lam'], 'name': 'u2'}, 'u1': {'args': ['lam'], 'name': 'u1'}, 'id': {'args': [], 'name': 'id'}, 'p': {'args': ['lam'], 'name': 'p'}, 'sx': {'args': [], 'name': 'sx'}, 'sxdg': {'args': [], 'name': 'sxdg'}, 'swap': {'args': [], 'name': 'swap'}, 'cswap': {'args': [], 'name': 'cswap'}, 'crx': {'args': ['lam'], 'name': 'crx'}, 'cry': {'args': ['lam'], 'name': 'cry'}, 'cp': {'args': ['lam'], 'name': 'cp'}, 'rxx': {'args': ['theta'], 'name': 'rxx'}, 'rzz': {'args': ['theta'], 'name': 'rzz'}, 'rccx': {'args': [], 'name': 'rccx'}, 'rc3x': {'args': [], 'name': 'rc3x'}, 'c3x': {'args': [], 'name': 'c3x'}, 'c3sqrtx': {'args': [], 'name': 'c3sqrtx'}, 'c4x': {'args': [], 'name': 'c4x'}}
\ No newline at end of file
+_INCLUDE_DECLS={'Rz': {'args': ['lam'], 'name': 'Rz'}, 'U1q': {'args': ['theta', 'phi'], 'name': 'U1q'}, 'ZZ': {'args': [], 'name': 'ZZ'}, 'RZZ': {'args': ['theta'], 'name': 'RZZ'}, 'Rxxyyzz': {'args': ['alpha', 'beta', 'gamma'], 'name': 'Rxxyyzz'}, 'Rxxyyzz_zphase': {'args': ['alpha', 'beta', 'gamma', 'z0', 'z1'], 'name': 'Rxxyyzz_zphase'}, 'U': {'args': ['theta', 'phi', 'lam'], 'name': 'U'}, 'x': {'args': [], 'name': 'x'}, 'y': {'args': [], 'name': 'y'}, 'z': {'args': [], 'name': 'z'}, 'CX': {'args': [], 'name': 'CX'}, 'cx': {'args': [], 'name': 'cx'}, 'h': {'args': [], 'name': 'h'}, 's': {'args': [], 'name': 's'}, 'sdg': {'args': [], 'name': 'sdg'}, 't': {'args': [], 'name': 't'}, 'tdg': {'args': [], 'name': 'tdg'}, 'rx': {'args': ['theta'], 'name': 'rx'}, 'ry': {'args': ['theta'], 'name': 'ry'}, 'rz': {'args': ['phi'], 'name': 'rz'}, 'cz': {'args': [], 'name': 'cz'}, 'cy': {'args': [], 'name': 'cy'}, 'ch': {'args': [], 'name': 'ch'}, 'ccx': {'args': [], 'name': 'ccx'}, 'crz': {'args': ['lam'], 'name': 'crz'}, 'cu1': {'args': ['lam'], 'name': 'cu1'}, 'cu3': {'args': ['theta', 'phi', 'lam'], 'name': 'cu3'}, 'csx': {'args': [], 'name': 'csx'}, 'cs': {'args': [], 'name': 'cs'}, 'csdg': {'args': [], 'name': 'csdg'}, 'cu': {'args': ['theta', 'phi', 'lam', 'gamma'], 'name': 'cu'}, 'u': {'args': ['theta', 'phi', 'lam'], 'name': 'u'}, 'u3': {'args': ['theta', 'phi', 'lam'], 'name': 'u3'}, 'u2': {'args': ['phi', 'lam'], 'name': 'u2'}, 'u1': {'args': ['lam'], 'name': 'u1'}, 'id': {'args': [], 'name': 'id'}, 'p': {'args': ['lam'], 'name': 'p'}, 'sx': {'args': [], 'name': 'sx'}, 'sxdg': {'args': [], 'name': 'sxdg'}, 'swap': {'args': [], 'name': 'swap'}, 'cswap': {'args': [], 'name': 'cswap'}, 'crx': {'args': ['lam'], 'name': 'crx'}, 'cry': {'args': ['lam'], 'name': 'cry'}, 'cp': {'args': ['lam'], 'name': 'cp'}, 'rxx': {'args': ['theta'], 'name': 'rxx'}, 'rzz': {'args': ['theta'], 'name': 'rzz'}, 'rccx': {'args': [], 'name': 'rccx'}, 'rc3x': {'args': [], 'name': 'rc3x'}, 'c3x': {'args': [], 'name': 'c3x'}, 'c3sqrtx': {'args': [], 'name': 'c3sqrtx'}, 'c4x': {'args': [], 'name': 'c4x'}}
\ No newline at end of file
diff --git a/pytket/pytket/qasm/includes/_hqslib1_defs.py b/pytket/pytket/qasm/includes/_hqslib1_defs.py
index 002841368e..7569a2a7c2 100644
--- a/pytket/pytket/qasm/includes/_hqslib1_defs.py
+++ b/pytket/pytket/qasm/includes/_hqslib1_defs.py
@@ -1,2 +1,2 @@
 """DO NOT EDIT! GENERATED BY load_includes.py."""
-_INCLUDE_DEFS={'Rz': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['lam'], 'name': 'Rz'}, 'U1q': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['theta', 'phi'], 'name': 'U1q'}, 'ZZ': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'ZZ'}, 'RZZ': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta'], 'name': 'RZZ'}, 'Rxxyyzz': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['alpha', 'beta', 'gamma'], 'name': 'Rxxyyzz'}, 'Rxxyyzz_zphase': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['alpha', 'beta', 'gamma', 'z0', 'z1'], 'name': 'Rxxyyzz_zphase'}, 'U': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '874d6808-1f4c-4885-99f6-e40c8ffa678d', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'a692f7f5-3433-4fdf-a4d4-ed50261c437f', 'params': ['theta', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '9f0b4db5-b82f-407f-9407-6917b51eae06', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['theta', 'phi', 'lam'], 'name': 'U'}, 'x': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '804637b2-4919-4480-af9b-aecb36ad8a2c', 'params': ['1', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'x'}, 'y': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'e645a79f-1c54-44d4-a1cc-efb866e06753', 'params': ['1', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'y'}, 'z': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '47fe8e61-2687-4f8b-b6f8-77c058d1d2ef', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'z'}, 'CX': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'da55b1db-abb5-442c-a1ec-3f292ba6aaa4', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '56f9a815-b927-4f53-80df-f073a29cf1f7', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fec039bc-a48a-421d-b826-50fd3a1ff903', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'b456cb80-1ee0-4503-9241-35d33dbd20eb', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '88d87bd3-823a-479b-adb4-ed1d409e80a5', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'CX'}, 'cx': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'da55b1db-abb5-442c-a1ec-3f292ba6aaa4', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '56f9a815-b927-4f53-80df-f073a29cf1f7', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fec039bc-a48a-421d-b826-50fd3a1ff903', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'b456cb80-1ee0-4503-9241-35d33dbd20eb', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '88d87bd3-823a-479b-adb4-ed1d409e80a5', 'params': ['-1/2'], 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'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ac9dea22-d13a-48ee-93dc-3a3ce149ae19', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '05c731fa-c0ea-4d21-8a27-cd36d62ea4af', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'edb43070-d1b4-4d72-8ea6-cecf0b42dcdd', 'params': ['1'], 'type': 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'id': 'da55b1db-abb5-442c-a1ec-3f292ba6aaa4', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '56f9a815-b927-4f53-80df-f073a29cf1f7', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fec039bc-a48a-421d-b826-50fd3a1ff903', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': 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{'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'da55b1db-abb5-442c-a1ec-3f292ba6aaa4', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '56f9a815-b927-4f53-80df-f073a29cf1f7', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fec039bc-a48a-421d-b826-50fd3a1ff903', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'b456cb80-1ee0-4503-9241-35d33dbd20eb', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '88d87bd3-823a-479b-adb4-ed1d409e80a5', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a6f40bd6-98ce-4480-8d08-750e89f368d4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '94caaedc-3774-47a2-9b4d-1f3cac0b0076', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 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[1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lam'], 'name': 'crz'}, 'cu1': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '4dc34d7a-ada3-4297-8135-87d941a7712e', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'da55b1db-abb5-442c-a1ec-3f292ba6aaa4', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '56f9a815-b927-4f53-80df-f073a29cf1f7', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fec039bc-a48a-421d-b826-50fd3a1ff903', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'b456cb80-1ee0-4503-9241-35d33dbd20eb', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '88d87bd3-823a-479b-adb4-ed1d409e80a5', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a6f40bd6-98ce-4480-8d08-750e89f368d4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'dfc01e77-4cbc-4a9f-81ec-b12340fae2e3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '92dfe1ad-b657-44e7-a597-d77c7a1eb5ce', 'params': ['(-1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 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'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lam'], 'name': 'cu1'}, 'cu3': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'e2c9eacc-d8ac-42be-a4ce-404258960c72', 'params': ['(1/2)*(pi*lam - pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 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'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '3f46f252-8d50-43ce-b466-20cdf1b296a9', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '80601898-198f-43bf-8ee2-a6d7c9344e22', 'params': ['(-1/2)*(pi*lam + pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 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[], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '6f8bee00-50a0-43cb-beec-f8cdd0363977', 'params': ['(1/2)*theta', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '9fa46f96-c303-4833-9562-8eec4ed4fb29', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta', 'phi', 'lam'], 'name': 'cu3'}, 'csx': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 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'name': 'Rz'}, 'id': 'edb43070-d1b4-4d72-8ea6-cecf0b42dcdd', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'b4f1abd9-2fb4-4ffe-a36f-b787bcd63eff', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'csx'}, 'cu': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['gamma'], 'type': 'U1'}}, {'args': [['q', [1]]], 'op': {'params': ['(1/2)*(pi*lam - pi*phi)/pi'], 'type': 'U1'}}, {'args': [['q', [0]]], 'op': {'params': ['(1/2)*(pi*lam + pi*phi)/pi'], 'type': 'U1'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': 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['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a6f40bd6-98ce-4480-8d08-750e89f368d4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4c9b068e-210c-4f5f-b73a-e7f4f548b3e2', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'params': ['(-1/2)*theta', '0', '(-1/2)*(pi*lam + pi*phi)/pi'], 'type': 'U3'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': 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'id': 'ffec0ee1-18d1-49e0-b012-123960f267c1', 'params': ['1/2', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '81cf266c-36f0-411d-ae18-c13c6e1d0de3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'da55b1db-abb5-442c-a1ec-3f292ba6aaa4', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 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'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': 'ffec0ee1-18d1-49e0-b012-123960f267c1', 'params': ['1/2', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '571efe2d-63b3-4906-b3c2-e63a3128f528', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'rc3x'}, 'c3x': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': 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'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': '23b19e6c-4d48-4f5f-bc21-6615f014a098', 'params': ['0', '0', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'feac658d-fb92-4fa4-bd1c-8670e2fd9460', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', 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'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a6f40bd6-98ce-4480-8d08-750e89f368d4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '6e5ace6b-9a03-46c6-8582-0352752fb887', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '65b8e030-aade-4107-9f45-b6f9f3a4b230', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 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[], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '4dc34d7a-ada3-4297-8135-87d941a7712e', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'da55b1db-abb5-442c-a1ec-3f292ba6aaa4', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '56f9a815-b927-4f53-80df-f073a29cf1f7', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fec039bc-a48a-421d-b826-50fd3a1ff903', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'b456cb80-1ee0-4503-9241-35d33dbd20eb', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '88d87bd3-823a-479b-adb4-ed1d409e80a5', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a6f40bd6-98ce-4480-8d08-750e89f368d4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'dfc01e77-4cbc-4a9f-81ec-b12340fae2e3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '92dfe1ad-b657-44e7-a597-d77c7a1eb5ce', 'params': ['(-1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'da55b1db-abb5-442c-a1ec-3f292ba6aaa4', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 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'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '6e5ace6b-9a03-46c6-8582-0352752fb887', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '65b8e030-aade-4107-9f45-b6f9f3a4b230', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '235c7194-aae8-4a0f-af8b-58af1f854db9', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': 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[['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '9f0b4db5-b82f-407f-9407-6917b51eae06', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': '23b19e6c-4d48-4f5f-bc21-6615f014a098', 'params': ['0', '0', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '6cb11a33-6872-4063-bb4b-9ce26b780711', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 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[], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '9f0b4db5-b82f-407f-9407-6917b51eae06', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': '23b19e6c-4d48-4f5f-bc21-6615f014a098', 'params': ['0', '0', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'feac658d-fb92-4fa4-bd1c-8670e2fd9460', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 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'name': 'U1q'}, 'id': 'a692f7f5-3433-4fdf-a4d4-ed50261c437f', 'params': ['theta', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '9f0b4db5-b82f-407f-9407-6917b51eae06', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': '23b19e6c-4d48-4f5f-bc21-6615f014a098', 'params': ['0', '0', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '92268e21-62a8-49fc-a0ac-172039ffda39', 'params': 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'name': 'U1q'}, 'id': '05c731fa-c0ea-4d21-8a27-cd36d62ea4af', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'edb43070-d1b4-4d72-8ea6-cecf0b42dcdd', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'cfffa1df-8b4e-45a3-add6-260f7e5c63bc', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], 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'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '92dfe1ad-b657-44e7-a597-d77c7a1eb5ce', 'params': ['(-1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'da55b1db-abb5-442c-a1ec-3f292ba6aaa4', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '56f9a815-b927-4f53-80df-f073a29cf1f7', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fec039bc-a48a-421d-b826-50fd3a1ff903', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'b456cb80-1ee0-4503-9241-35d33dbd20eb', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '88d87bd3-823a-479b-adb4-ed1d409e80a5', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a6f40bd6-98ce-4480-8d08-750e89f368d4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '6e5ace6b-9a03-46c6-8582-0352752fb887', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '65b8e030-aade-4107-9f45-b6f9f3a4b230', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'c5e52bd6-6e72-4138-8d84-1c5ac13628c4', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '05c731fa-c0ea-4d21-8a27-cd36d62ea4af', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'edb43070-d1b4-4d72-8ea6-cecf0b42dcdd', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '01bf2d98-1f47-4346-aa2b-a25c8bce6854', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'name': 'c3sqrtx'}, 'id': '56b460aa-ebcf-47ca-b166-fa3e70913b96', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'c4x'}}
\ No newline at end of file
+_INCLUDE_DEFS={'Rz': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['lam'], 'name': 'Rz'}, 'U1q': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['theta', 'phi'], 'name': 'U1q'}, 'ZZ': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'ZZ'}, 'RZZ': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta'], 'name': 'RZZ'}, 'Rxxyyzz': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['alpha', 'beta', 'gamma'], 'name': 'Rxxyyzz'}, 'Rxxyyzz_zphase': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['alpha', 'beta', 'gamma', 'z0', 'z1'], 'name': 'Rxxyyzz_zphase'}, 'U': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'a86e0c29-4968-4dc8-9076-b90e1cfbba9c', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 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'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'e0826dbc-e789-4108-9f91-ab4df07dc927', 'params': ['1', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'x'}, 'y': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'eade3946-3d27-4b87-a019-d54473c56a36', 'params': ['1', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'y'}, 'z': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '27ec013f-d9ad-4464-b30e-26e627c300ae', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'z'}, 'CX': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', 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{'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'f2fdefff-ad93-40a2-8c83-c91035dc8d1e', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '950b0caf-ce5e-42bd-9a00-c472764c16f3', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'CX'}, 'cx': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '4c3bd6ec-5d16-41ad-b49a-c0f94ac7a955', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '9206284c-0ea9-44bf-9f5c-811013ee347a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 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'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'ed9c9c27-36c3-471a-97c4-48f6302b695f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'cx'}, 'h': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'd2f7ea24-ef73-436e-9645-f20c672b8474', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ec3ee54e-7173-4bae-b01e-d8912e2086f2', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'h'}, 's': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '1907081d-4399-4575-9820-931f1f666849', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 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'name': 'Rz'}, 'id': '4fe5183f-a1f5-477a-8b62-d62cb603706a', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 't'}, 'tdg': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'c9d0ef90-9700-4e36-b131-b7b0bfa994c2', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'tdg'}, 'rx': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 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'id': '950b0caf-ce5e-42bd-9a00-c472764c16f3', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'ed9c9c27-36c3-471a-97c4-48f6302b695f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ca82638e-13a6-455a-981b-57327e49140b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 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'name': 'U1q'}, 'id': '4c3bd6ec-5d16-41ad-b49a-c0f94ac7a955', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '9206284c-0ea9-44bf-9f5c-811013ee347a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '8c63bdbb-a3b0-4620-bf58-647598e176cf', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 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'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '4c3bd6ec-5d16-41ad-b49a-c0f94ac7a955', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '9206284c-0ea9-44bf-9f5c-811013ee347a', 'params': 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'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '218dccf2-aa85-46cd-8f01-abb7794e6839', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'a86e0c29-4968-4dc8-9076-b90e1cfbba9c', 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'0c92189d-46ac-49be-b105-41b47ceeade1', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'cf0ada0c-13c3-466b-951f-13dbfc491f48', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'b9ce1b71-faff-445e-9383-49fc00d09772', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '4c3bd6ec-5d16-41ad-b49a-c0f94ac7a955', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '9206284c-0ea9-44bf-9f5c-811013ee347a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '8c63bdbb-a3b0-4620-bf58-647598e176cf', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'f2fdefff-ad93-40a2-8c83-c91035dc8d1e', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '950b0caf-ce5e-42bd-9a00-c472764c16f3', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'ed9c9c27-36c3-471a-97c4-48f6302b695f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '37d8599b-726a-4d67-86fd-053481f9bdc9', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'd2f7ea24-ef73-436e-9645-f20c672b8474', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ec3ee54e-7173-4bae-b01e-d8912e2086f2', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '1273b74d-f821-4af2-9372-1ad7da3ca631', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'd2f7ea24-ef73-436e-9645-f20c672b8474', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ec3ee54e-7173-4bae-b01e-d8912e2086f2', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'dcc29c56-2e74-4f19-9ed2-7ba60182fd5f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '0b39ed6d-274b-41df-9a1d-0b7f43659778', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '4c3bd6ec-5d16-41ad-b49a-c0f94ac7a955', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '9206284c-0ea9-44bf-9f5c-811013ee347a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '8c63bdbb-a3b0-4620-bf58-647598e176cf', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'f2fdefff-ad93-40a2-8c83-c91035dc8d1e', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '950b0caf-ce5e-42bd-9a00-c472764c16f3', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'ed9c9c27-36c3-471a-97c4-48f6302b695f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'bf2eb9e3-7a53-401e-9876-7df343bd4e32', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '8c79832d-dc8f-4f10-aef8-b21f1fe8337e', 'params': ['(-1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '4c3bd6ec-5d16-41ad-b49a-c0f94ac7a955', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '9206284c-0ea9-44bf-9f5c-811013ee347a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '8c63bdbb-a3b0-4620-bf58-647598e176cf', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'f2fdefff-ad93-40a2-8c83-c91035dc8d1e', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '950b0caf-ce5e-42bd-9a00-c472764c16f3', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'ed9c9c27-36c3-471a-97c4-48f6302b695f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '0c92189d-46ac-49be-b105-41b47ceeade1', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'cf0ada0c-13c3-466b-951f-13dbfc491f48', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '64143de1-4bf9-4b67-bc78-a89bb86a96ce', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'd2f7ea24-ef73-436e-9645-f20c672b8474', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ec3ee54e-7173-4bae-b01e-d8912e2086f2', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'c1d37937-c73c-45b0-99f1-32042286ea69', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'name': 'c3sqrtx'}, 'id': '896170cd-80c0-4e12-9d55-addc8ec8fb39', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'c4x'}}
\ No newline at end of file
diff --git a/pytket/pytket/qasm/includes/_hqslib1_dev_decls.py b/pytket/pytket/qasm/includes/_hqslib1_dev_decls.py
index 47c0a74ff3..d6548e5c81 100644
--- a/pytket/pytket/qasm/includes/_hqslib1_dev_decls.py
+++ b/pytket/pytket/qasm/includes/_hqslib1_dev_decls.py
@@ -1,2 +1,2 @@
 """DO NOT EDIT! GENERATED BY load_includes.py."""
-_INCLUDE_DECLS={'Rz': {'args': ['lam'], 'name': 'Rz'}, 'U1q': {'args': ['theta', 'phi'], 'name': 'U1q'}, 'ZZ': {'args': [], 'name': 'ZZ'}, 'RZZ': {'args': ['theta'], 'name': 'RZZ'}, 'Rxxyyzz': {'args': ['alpha', 'beta', 'gamma'], 'name': 'Rxxyyzz'}, 'Rxxyyzz_zphase': {'args': ['alpha', 'beta', 'gamma', 'z0', 'z1'], 'name': 'Rxxyyzz_zphase'}, 'U': {'args': ['theta', 'phi', 'lam'], 'name': 'U'}, 'x': {'args': [], 'name': 'x'}, 'y': {'args': [], 'name': 'y'}, 'z': {'args': [], 'name': 'z'}, 'CX': {'args': [], 'name': 'CX'}, 'cx': {'args': [], 'name': 'cx'}, 'h': {'args': [], 'name': 'h'}, 's': {'args': [], 'name': 's'}, 'sdg': {'args': [], 'name': 'sdg'}, 't': {'args': [], 'name': 't'}, 'tdg': {'args': [], 'name': 'tdg'}, 'rx': {'args': ['theta'], 'name': 'rx'}, 'ry': {'args': ['theta'], 'name': 'ry'}, 'rz': {'args': ['phi'], 'name': 'rz'}, 'cz': {'args': [], 'name': 'cz'}, 'cy': {'args': [], 'name': 'cy'}, 'ch': {'args': [], 'name': 'ch'}, 'ccx': {'args': [], 'name': 'ccx'}, 'crz': {'args': ['lam'], 'name': 'crz'}, 'cu1': {'args': ['lam'], 'name': 'cu1'}, 'cu3': {'args': ['theta', 'phi', 'lam'], 'name': 'cu3'}, 'csx': {'args': [], 'name': 'csx'}, 'cu': {'args': ['theta', 'phi', 'lam', 'gamma'], 'name': 'cu'}, 'u': {'args': ['theta', 'phi', 'lam'], 'name': 'u'}, 'u3': {'args': ['theta', 'phi', 'lam'], 'name': 'u3'}, 'u2': {'args': ['phi', 'lam'], 'name': 'u2'}, 'u1': {'args': ['lam'], 'name': 'u1'}, 'id': {'args': [], 'name': 'id'}, 'p': {'args': ['lam'], 'name': 'p'}, 'sx': {'args': [], 'name': 'sx'}, 'sxdg': {'args': [], 'name': 'sxdg'}, 'swap': {'args': [], 'name': 'swap'}, 'cswap': {'args': [], 'name': 'cswap'}, 'crx': {'args': ['lam'], 'name': 'crx'}, 'cry': {'args': ['lam'], 'name': 'cry'}, 'cp': {'args': ['lam'], 'name': 'cp'}, 'rxx': {'args': ['theta'], 'name': 'rxx'}, 'rzz': {'args': ['theta'], 'name': 'rzz'}, 'rccx': {'args': [], 'name': 'rccx'}, 'rc3x': {'args': [], 'name': 'rc3x'}, 'c3x': {'args': [], 'name': 'c3x'}, 'c3sqrtx': {'args': [], 'name': 'c3sqrtx'}, 'c4x': {'args': [], 'name': 'c4x'}, 'sleep': {'args': ['t'], 'name': 'sleep'}, 'order2': {'args': [], 'name': 'order2'}, 'order3': {'args': [], 'name': 'order3'}, 'order4': {'args': [], 'name': 'order4'}, 'order5': {'args': [], 'name': 'order5'}, 'order6': {'args': [], 'name': 'order6'}, 'order7': {'args': [], 'name': 'order7'}, 'order8': {'args': [], 'name': 'order8'}, 'order9': {'args': [], 'name': 'order9'}, 'order10': {'args': [], 'name': 'order10'}, 'order11': {'args': [], 'name': 'order11'}, 'order12': {'args': [], 'name': 'order12'}, 'order13': {'args': [], 'name': 'order13'}, 'order14': {'args': [], 'name': 'order14'}, 'order15': {'args': [], 'name': 'order15'}, 'order16': {'args': [], 'name': 'order16'}, 'order17': {'args': [], 'name': 'order17'}, 'order18': {'args': [], 'name': 'order18'}, 'order19': {'args': [], 'name': 'order19'}, 'order20': {'args': [], 'name': 'order20'}, 'group2': {'args': [], 'name': 'group2'}, 'group3': {'args': [], 'name': 'group3'}, 'group4': {'args': [], 'name': 'group4'}, 'group5': {'args': [], 'name': 'group5'}, 'group6': {'args': [], 'name': 'group6'}, 'group7': {'args': [], 'name': 'group7'}, 'group8': {'args': [], 'name': 'group8'}, 'group9': {'args': [], 'name': 'group9'}, 'group10': {'args': [], 'name': 'group10'}, 'group11': {'args': [], 'name': 'group11'}, 'group12': {'args': [], 'name': 'group12'}, 'group13': {'args': [], 'name': 'group13'}, 'group14': {'args': [], 'name': 'group14'}, 'group15': {'args': [], 'name': 'group15'}, 'group16': {'args': [], 'name': 'group16'}, 'group17': {'args': [], 'name': 'group17'}, 'group18': {'args': [], 'name': 'group18'}, 'group19': {'args': [], 'name': 'group19'}, 'group20': {'args': [], 'name': 'group20'}}
\ No newline at end of file
+_INCLUDE_DECLS={'Rz': {'args': ['lam'], 'name': 'Rz'}, 'U1q': {'args': ['theta', 'phi'], 'name': 'U1q'}, 'ZZ': {'args': [], 'name': 'ZZ'}, 'RZZ': {'args': ['theta'], 'name': 'RZZ'}, 'Rxxyyzz': {'args': ['alpha', 'beta', 'gamma'], 'name': 'Rxxyyzz'}, 'Rxxyyzz_zphase': {'args': ['alpha', 'beta', 'gamma', 'z0', 'z1'], 'name': 'Rxxyyzz_zphase'}, 'U': {'args': ['theta', 'phi', 'lam'], 'name': 'U'}, 'x': {'args': [], 'name': 'x'}, 'y': {'args': [], 'name': 'y'}, 'z': {'args': [], 'name': 'z'}, 'CX': {'args': [], 'name': 'CX'}, 'cx': {'args': [], 'name': 'cx'}, 'h': {'args': [], 'name': 'h'}, 's': {'args': [], 'name': 's'}, 'sdg': {'args': [], 'name': 'sdg'}, 't': {'args': [], 'name': 't'}, 'tdg': {'args': [], 'name': 'tdg'}, 'rx': {'args': ['theta'], 'name': 'rx'}, 'ry': {'args': ['theta'], 'name': 'ry'}, 'rz': {'args': ['phi'], 'name': 'rz'}, 'cz': {'args': [], 'name': 'cz'}, 'cy': {'args': [], 'name': 'cy'}, 'ch': {'args': [], 'name': 'ch'}, 'ccx': {'args': [], 'name': 'ccx'}, 'crz': {'args': ['lam'], 'name': 'crz'}, 'cu1': {'args': ['lam'], 'name': 'cu1'}, 'cu3': {'args': ['theta', 'phi', 'lam'], 'name': 'cu3'}, 'csx': {'args': [], 'name': 'csx'}, 'cs': {'args': [], 'name': 'cs'}, 'csdg': {'args': [], 'name': 'csdg'}, 'cu': {'args': ['theta', 'phi', 'lam', 'gamma'], 'name': 'cu'}, 'u': {'args': ['theta', 'phi', 'lam'], 'name': 'u'}, 'u3': {'args': ['theta', 'phi', 'lam'], 'name': 'u3'}, 'u2': {'args': ['phi', 'lam'], 'name': 'u2'}, 'u1': {'args': ['lam'], 'name': 'u1'}, 'id': {'args': [], 'name': 'id'}, 'p': {'args': ['lam'], 'name': 'p'}, 'sx': {'args': [], 'name': 'sx'}, 'sxdg': {'args': [], 'name': 'sxdg'}, 'swap': {'args': [], 'name': 'swap'}, 'cswap': {'args': [], 'name': 'cswap'}, 'crx': {'args': ['lam'], 'name': 'crx'}, 'cry': {'args': ['lam'], 'name': 'cry'}, 'cp': {'args': ['lam'], 'name': 'cp'}, 'rxx': {'args': ['theta'], 'name': 'rxx'}, 'rzz': {'args': ['theta'], 'name': 'rzz'}, 'rccx': {'args': [], 'name': 'rccx'}, 'rc3x': {'args': [], 'name': 'rc3x'}, 'c3x': {'args': [], 'name': 'c3x'}, 'c3sqrtx': {'args': [], 'name': 'c3sqrtx'}, 'c4x': {'args': [], 'name': 'c4x'}, 'sleep': {'args': ['t'], 'name': 'sleep'}, 'order2': {'args': [], 'name': 'order2'}, 'order3': {'args': [], 'name': 'order3'}, 'order4': {'args': [], 'name': 'order4'}, 'order5': {'args': [], 'name': 'order5'}, 'order6': {'args': [], 'name': 'order6'}, 'order7': {'args': [], 'name': 'order7'}, 'order8': {'args': [], 'name': 'order8'}, 'order9': {'args': [], 'name': 'order9'}, 'order10': {'args': [], 'name': 'order10'}, 'order11': {'args': [], 'name': 'order11'}, 'order12': {'args': [], 'name': 'order12'}, 'order13': {'args': [], 'name': 'order13'}, 'order14': {'args': [], 'name': 'order14'}, 'order15': {'args': [], 'name': 'order15'}, 'order16': {'args': [], 'name': 'order16'}, 'order17': {'args': [], 'name': 'order17'}, 'order18': {'args': [], 'name': 'order18'}, 'order19': {'args': [], 'name': 'order19'}, 'order20': {'args': [], 'name': 'order20'}, 'group2': {'args': [], 'name': 'group2'}, 'group3': {'args': [], 'name': 'group3'}, 'group4': {'args': [], 'name': 'group4'}, 'group5': {'args': [], 'name': 'group5'}, 'group6': {'args': [], 'name': 'group6'}, 'group7': {'args': [], 'name': 'group7'}, 'group8': {'args': [], 'name': 'group8'}, 'group9': {'args': [], 'name': 'group9'}, 'group10': {'args': [], 'name': 'group10'}, 'group11': {'args': [], 'name': 'group11'}, 'group12': {'args': [], 'name': 'group12'}, 'group13': {'args': [], 'name': 'group13'}, 'group14': {'args': [], 'name': 'group14'}, 'group15': {'args': [], 'name': 'group15'}, 'group16': {'args': [], 'name': 'group16'}, 'group17': {'args': [], 'name': 'group17'}, 'group18': {'args': [], 'name': 'group18'}, 'group19': {'args': [], 'name': 'group19'}, 'group20': {'args': [], 'name': 'group20'}}
\ No newline at end of file
diff --git a/pytket/pytket/qasm/includes/_hqslib1_dev_defs.py b/pytket/pytket/qasm/includes/_hqslib1_dev_defs.py
index 0dfde2b365..107c71d29e 100644
--- a/pytket/pytket/qasm/includes/_hqslib1_dev_defs.py
+++ b/pytket/pytket/qasm/includes/_hqslib1_dev_defs.py
@@ -1,2 +1,2 @@
 """DO NOT EDIT! GENERATED BY load_includes.py."""
-_INCLUDE_DEFS={'Rz': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['lam'], 'name': 'Rz'}, 'U1q': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['theta', 'phi'], 'name': 'U1q'}, 'ZZ': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'ZZ'}, 'RZZ': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta'], 'name': 'RZZ'}, 'Rxxyyzz': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['alpha', 'beta', 'gamma'], 'name': 'Rxxyyzz'}, 'Rxxyyzz_zphase': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['alpha', 'beta', 'gamma', 'z0', 'z1'], 'name': 'Rxxyyzz_zphase'}, 'U': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'b27225a4-0a2a-4dd3-be9f-b4f5e243ba3a', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '96a14d75-c367-4d5b-9f32-5e5b3fb9ee6d', 'params': ['theta', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fafc0116-1113-4727-870a-35e54794b6ef', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['theta', 'phi', 'lam'], 'name': 'U'}, 'x': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '260b70c3-f3ee-4aac-910f-08ba4d0d5da3', 'params': ['1', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'x'}, 'y': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'ba1aa822-3e0c-42c2-a04e-75f1df548c98', 'params': ['1', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'y'}, 'z': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ae408fe4-82c8-452c-aeef-e76c8e70427f', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'z'}, 'CX': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '881f50f3-0c0b-4a92-b4c1-729a07dd357f', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': 'ed2d1be1-4cc1-481c-afcc-5f28440d872f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ac6932f9-c7ca-4028-bb24-20408227b9d7', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '17d79467-b56d-4bde-8d4d-0702ff071664', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '2be28389-e691-46da-82c9-cbc462ff00b6', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'CX'}, 'cx': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '881f50f3-0c0b-4a92-b4c1-729a07dd357f', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': 'ed2d1be1-4cc1-481c-afcc-5f28440d872f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ac6932f9-c7ca-4028-bb24-20408227b9d7', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '17d79467-b56d-4bde-8d4d-0702ff071664', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '2be28389-e691-46da-82c9-cbc462ff00b6', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a1f43a2f-a866-4b28-b789-fc01f7e5e056', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'cx'}, 'h': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'bab56fe8-efc6-4d1a-8182-efa27cf77b42', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': 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'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '9cd2f83c-1176-4300-92b0-f48013a7d033', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '12719a25-dec1-4f11-a92e-bcaa92f3b363', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': 'a04ad70e-c12f-4c28-b3ea-3a9722538b61', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 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[], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '9fc6fa6a-d0a1-4d4f-b9b7-45ca774ae36f', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '881f50f3-0c0b-4a92-b4c1-729a07dd357f', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 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[1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '881f50f3-0c0b-4a92-b4c1-729a07dd357f', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': 'ed2d1be1-4cc1-481c-afcc-5f28440d872f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ac6932f9-c7ca-4028-bb24-20408227b9d7', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '17d79467-b56d-4bde-8d4d-0702ff071664', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '2be28389-e691-46da-82c9-cbc462ff00b6', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 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'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': 'ed2d1be1-4cc1-481c-afcc-5f28440d872f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ac6932f9-c7ca-4028-bb24-20408227b9d7', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 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{'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fafc0116-1113-4727-870a-35e54794b6ef', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': 'ae138a16-bf99-4770-9148-c71f64a11de7', 'params': ['theta', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': 'a4abca0e-8886-4220-853f-16933ee45c95', 'params': ['1/2', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '5a3e2c72-3e88-4343-bd0b-2ee396149921', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'rccx'}, 'rc3x': {'definition': {'bits': [], 'commands': [{'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'b27225a4-0a2a-4dd3-be9f-b4f5e243ba3a', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '96a14d75-c367-4d5b-9f32-5e5b3fb9ee6d', 'params': ['theta', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fafc0116-1113-4727-870a-35e54794b6ef', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': 'ae138a16-bf99-4770-9148-c71f64a11de7', 'params': ['theta', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': 'a4abca0e-8886-4220-853f-16933ee45c95', 'params': ['1/2', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '679f57f9-ad61-42fd-9082-c9dae54adb1f', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '3cd26e4b-9b7f-4d49-b53c-be7dc4919d69', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'dd25362b-90de-425e-bf14-32fb5b067a8b', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '881f50f3-0c0b-4a92-b4c1-729a07dd357f', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': 'ed2d1be1-4cc1-481c-afcc-5f28440d872f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ac6932f9-c7ca-4028-bb24-20408227b9d7', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '17d79467-b56d-4bde-8d4d-0702ff071664', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '2be28389-e691-46da-82c9-cbc462ff00b6', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a1f43a2f-a866-4b28-b789-fc01f7e5e056', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '24a39b94-6055-4e57-8c79-23baa6138ed5', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '3cd26e4b-9b7f-4d49-b53c-be7dc4919d69', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '18fe1c89-3717-416f-b714-d57b9bed2b41', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'b27225a4-0a2a-4dd3-be9f-b4f5e243ba3a', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '96a14d75-c367-4d5b-9f32-5e5b3fb9ee6d', 'params': ['theta', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fafc0116-1113-4727-870a-35e54794b6ef', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': 'ae138a16-bf99-4770-9148-c71f64a11de7', 'params': ['theta', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': 'a4abca0e-8886-4220-853f-16933ee45c95', 'params': ['1/2', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'f91e7af0-bae9-485d-bf73-d12a4e9a2e33', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '881f50f3-0c0b-4a92-b4c1-729a07dd357f', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 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[0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '17d79467-b56d-4bde-8d4d-0702ff071664', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '2be28389-e691-46da-82c9-cbc462ff00b6', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a1f43a2f-a866-4b28-b789-fc01f7e5e056', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'e87536fb-d12e-4a5e-8334-e5edd51bf959', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '3cd26e4b-9b7f-4d49-b53c-be7dc4919d69', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '03f61643-53ad-41dc-a9e0-bef81c1e04c9', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 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{'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'ac6932f9-c7ca-4028-bb24-20408227b9d7', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '17d79467-b56d-4bde-8d4d-0702ff071664', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '2be28389-e691-46da-82c9-cbc462ff00b6', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'a1f43a2f-a866-4b28-b789-fc01f7e5e056', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '9211fd23-4dcc-445b-b5e8-ee9089dc3d2d', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '3cd26e4b-9b7f-4d49-b53c-be7dc4919d69', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e42da395-8b89-4aaa-ac82-c154bbd94095', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '881f50f3-0c0b-4a92-b4c1-729a07dd357f', 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'name': 'U1q'}, 'id': '96a14d75-c367-4d5b-9f32-5e5b3fb9ee6d', 'params': ['theta', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'fafc0116-1113-4727-870a-35e54794b6ef', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': 'cf923da0-1820-4244-bff7-072619f82224', 'params': ['0', '0', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '3de5bc5f-4b91-4c7b-8298-c836e1be8079', 'params': 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'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '5d9996f3-7700-40ea-a18b-b99d7264c470', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'de70d4b0-8de3-4a5c-b627-c98f8f81aaba', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'bab56fe8-efc6-4d1a-8182-efa27cf77b42', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '7a9e3e67-41ec-43c1-bf48-2b32294abdf0', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '6ad9861f-3cba-45f6-86dd-d725259fe88f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'name': 'c3sqrtx'}, 'id': '8c559afc-1192-42ae-ae81-1a3572c6a6e6', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'c4x'}, 'sleep': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['t'], 'name': 'sleep'}, 'order2': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'order2'}, 'order3': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'order3'}, 'order4': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'order4'}, 'order5': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'order5'}, 'order6': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]]]}, 'args': [], 'name': 'order6'}, 'order7': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]]]}, 'args': [], 'name': 'order7'}, 'order8': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]]]}, 'args': [], 'name': 'order8'}, 'order9': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]]]}, 'args': [], 'name': 'order9'}, 'order10': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]]]}, 'args': [], 'name': 'order10'}, 'order11': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]]]}, 'args': [], 'name': 'order11'}, 'order12': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]]]}, 'args': [], 'name': 'order12'}, 'order13': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]]]}, 'args': [], 'name': 'order13'}, 'order14': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]]]}, 'args': [], 'name': 'order14'}, 'order15': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]]]}, 'args': [], 'name': 'order15'}, 'order16': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]]]}, 'args': [], 'name': 'order16'}, 'order17': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]]]}, 'args': [], 'name': 'order17'}, 'order18': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]]]}, 'args': [], 'name': 'order18'}, 'order19': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]], [['q', [18]], ['q', [18]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]], ['q', [18]]]}, 'args': [], 'name': 'order19'}, 'order20': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]], [['q', [18]], ['q', [18]]], [['q', [19]], ['q', [19]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]], ['q', [18]], ['q', [19]]]}, 'args': [], 'name': 'order20'}, 'group2': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'group2'}, 'group3': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'group3'}, 'group4': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'group4'}, 'group5': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'group5'}, 'group6': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]]]}, 'args': [], 'name': 'group6'}, 'group7': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]]]}, 'args': [], 'name': 'group7'}, 'group8': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]]]}, 'args': [], 'name': 'group8'}, 'group9': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]]]}, 'args': [], 'name': 'group9'}, 'group10': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]]]}, 'args': [], 'name': 'group10'}, 'group11': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]]]}, 'args': [], 'name': 'group11'}, 'group12': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]]]}, 'args': [], 'name': 'group12'}, 'group13': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]]]}, 'args': [], 'name': 'group13'}, 'group14': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]]]}, 'args': [], 'name': 'group14'}, 'group15': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]]]}, 'args': [], 'name': 'group15'}, 'group16': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]]]}, 'args': [], 'name': 'group16'}, 'group17': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]]]}, 'args': [], 'name': 'group17'}, 'group18': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]]]}, 'args': [], 'name': 'group18'}, 'group19': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]], [['q', [18]], ['q', [18]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]], ['q', [18]]]}, 'args': [], 'name': 'group19'}, 'group20': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]], [['q', [18]], ['q', [18]]], [['q', [19]], ['q', [19]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]], ['q', [18]], ['q', [19]]]}, 'args': [], 'name': 'group20'}}
\ No newline at end of file
+_INCLUDE_DEFS={'Rz': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['lam'], 'name': 'Rz'}, 'U1q': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['theta', 'phi'], 'name': 'U1q'}, 'ZZ': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'ZZ'}, 'RZZ': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta'], 'name': 'RZZ'}, 'Rxxyyzz': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['alpha', 'beta', 'gamma'], 'name': 'Rxxyyzz'}, 'Rxxyyzz_zphase': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['alpha', 'beta', 'gamma', 'z0', 'z1'], 'name': 'Rxxyyzz_zphase'}, 'U': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'f9be2237-6c4d-497d-a80b-d34f13e993b4', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'f685be9d-6ff9-4df5-9f9b-d5ff842d07c0', 'params': ['theta', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '28300dfa-ccca-4385-b94f-590d02a567c1', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['theta', 'phi', 'lam'], 'name': 'U'}, 'x': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '544f5d3b-56e6-49b9-9f16-cdc5f7111315', 'params': ['1', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'x'}, 'y': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '618fb1ad-06da-4651-a208-f5c14a8c9923', 'params': ['1', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'y'}, 'z': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '1e7d52ba-9962-446f-a0cc-f6d8809af987', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'z'}, 'CX': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', 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'name': 'Rz'}, 'id': 'bb8cf9d5-be71-42df-a75b-0a212731ba4d', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'afe3e19c-a691-4b0e-b1fa-2000079f8c88', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'csx'}, 'cs': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '2e951ded-b9f4-4b16-ba1e-88e3541d2123', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'bdf32f3f-4f4a-4550-88f3-faf77c85b00e', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 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[], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'bdf32f3f-4f4a-4550-88f3-faf77c85b00e', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'ZZ'}, 'id': '787433b3-eb01-4aa9-8bc6-99621ee11802', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'f210d0cc-369b-476e-b811-1c1741c6cbdd', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '3c9ac74c-cfb1-4c7f-b14b-1a38436e7426', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '93b8c624-b844-4af1-8cd1-9eb9552673ac', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 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'name': 'U1q'}, 'id': '3c9ac74c-cfb1-4c7f-b14b-1a38436e7426', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '93b8c624-b844-4af1-8cd1-9eb9552673ac', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 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['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'de7c0c38-a5c4-4a5b-b4c9-3cfc39756438', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 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'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': 'be65cd9b-9616-46bf-bb4d-f603aa1c898a', 'params': ['0', '0', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '42888f07-4724-45d8-ba28-b71a27dcbd7c', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lam'], 'name': 'cp'}, 'rxx': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': 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[['q', [0]]]}, 'name': 'U'}, 'id': 'a044982f-5905-40c4-8ce6-65c45d3adb5f', 'params': ['theta', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '885cde27-8ac4-4393-88a8-fc5486c0999c', 'params': ['1/2', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '3faaeb91-2379-4620-a668-5dcc2c326c5d', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'rccx'}, 'rc3x': {'definition': {'bits': [], 'commands': 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'id': 'f685be9d-6ff9-4df5-9f9b-d5ff842d07c0', 'params': ['theta', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '28300dfa-ccca-4385-b94f-590d02a567c1', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': 'a044982f-5905-40c4-8ce6-65c45d3adb5f', 'params': ['theta', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '885cde27-8ac4-4393-88a8-fc5486c0999c', 'params': ['1/2', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ddd79b3a-b163-4555-9290-9513cf590414', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '52821555-2f4b-4987-8814-5c79c4974b1c', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 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[], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '93b8c624-b844-4af1-8cd1-9eb9552673ac', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ba15a793-5beb-428a-a8c8-b66a87d8512b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 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'id': '28300dfa-ccca-4385-b94f-590d02a567c1', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U'}, 'id': 'a044982f-5905-40c4-8ce6-65c45d3adb5f', 'params': ['theta', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '885cde27-8ac4-4393-88a8-fc5486c0999c', 'params': ['1/2', 'phi', 'lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'af557281-4b8a-4265-9d3b-ca36d8dc7e67', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': 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'id': '93b8c624-b844-4af1-8cd1-9eb9552673ac', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'f7bbe94f-2148-4a8c-a402-ea2d7ba64f3b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': 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[[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '89a033a6-7eee-4b96-ba15-b366c98e1871', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'bdf32f3f-4f4a-4550-88f3-faf77c85b00e', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], 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['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '450df334-6231-4834-bc1d-c2e7bfe3c13b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '9ffc2c95-2bb0-4cc7-8228-cbc78605ddf2', 'params': ['(1/2)*lam'], 'type': 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'name': 'U1q'}, 'id': '3c9ac74c-cfb1-4c7f-b14b-1a38436e7426', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '93b8c624-b844-4af1-8cd1-9eb9552673ac', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '992a808a-53d5-4c59-a7e8-91554954c923', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '7e5c7706-170a-46ff-b97c-3fae03c2f96c', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'bb8cf9d5-be71-42df-a75b-0a212731ba4d', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 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'id': 'f210d0cc-369b-476e-b811-1c1741c6cbdd', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '3c9ac74c-cfb1-4c7f-b14b-1a38436e7426', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '93b8c624-b844-4af1-8cd1-9eb9552673ac', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4b596ca7-1180-436e-99ea-278b1e98982c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '0a92dd66-ec07-4bc2-96ac-5ca799332807', 'params': ['(-1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 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'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '845173d0-5691-483d-bb6d-be786a98eb93', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'f9be2237-6c4d-497d-a80b-d34f13e993b4', 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'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '0258e931-144d-4db2-a34a-7e745a4e3874', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lam'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'f9be2237-6c4d-497d-a80b-d34f13e993b4', 'params': ['lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': 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'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '89a033a6-7eee-4b96-ba15-b366c98e1871', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': 'bdf32f3f-4f4a-4550-88f3-faf77c85b00e', 'params': ['-1/2', '1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': 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[['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4b596ca7-1180-436e-99ea-278b1e98982c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '0a92dd66-ec07-4bc2-96ac-5ca799332807', 'params': ['(-1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': 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['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '450df334-6231-4834-bc1d-c2e7bfe3c13b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '9ffc2c95-2bb0-4cc7-8228-cbc78605ddf2', 'params': ['(1/2)*lam'], 'type': 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'name': 'U1q'}, 'id': '3c9ac74c-cfb1-4c7f-b14b-1a38436e7426', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '93b8c624-b844-4af1-8cd1-9eb9552673ac', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '84b15c53-cd31-4d0f-b888-4a855b763098', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '7e5c7706-170a-46ff-b97c-3fae03c2f96c', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'bb8cf9d5-be71-42df-a75b-0a212731ba4d', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 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'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '3c9ac74c-cfb1-4c7f-b14b-1a38436e7426', 'params': ['1/2', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '93b8c624-b844-4af1-8cd1-9eb9552673ac', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'CX'}, 'id': 'f22ecbea-3366-43d6-b392-cb1040967990', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '450df334-6231-4834-bc1d-c2e7bfe3c13b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': '9ffc2c95-2bb0-4cc7-8228-cbc78605ddf2', 'params': ['(1/2)*lam'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'c705c4c3-7119-4c35-b72b-fb51cc57a754', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'U1q'}, 'id': '7e5c7706-170a-46ff-b97c-3fae03c2f96c', 'params': ['1/2', '-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lam'], 'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'Rz'}, 'id': 'bb8cf9d5-be71-42df-a75b-0a212731ba4d', 'params': ['1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '29a67f06-e81f-4a78-9de4-271e830ae44a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'name': 'c3sqrtx'}, 'id': 'a56e8748-cd41-4b1f-bf52-5f2b7fa55c4e', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'c4x'}, 'sleep': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['t'], 'name': 'sleep'}, 'order2': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'order2'}, 'order3': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'order3'}, 'order4': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'order4'}, 'order5': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'order5'}, 'order6': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]]]}, 'args': [], 'name': 'order6'}, 'order7': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]]]}, 'args': [], 'name': 'order7'}, 'order8': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]]]}, 'args': [], 'name': 'order8'}, 'order9': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]]]}, 'args': [], 'name': 'order9'}, 'order10': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]]]}, 'args': [], 'name': 'order10'}, 'order11': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]]]}, 'args': [], 'name': 'order11'}, 'order12': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]]]}, 'args': [], 'name': 'order12'}, 'order13': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]]]}, 'args': [], 'name': 'order13'}, 'order14': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]]]}, 'args': [], 'name': 'order14'}, 'order15': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]]]}, 'args': [], 'name': 'order15'}, 'order16': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]]]}, 'args': [], 'name': 'order16'}, 'order17': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]]]}, 'args': [], 'name': 'order17'}, 'order18': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]]]}, 'args': [], 'name': 'order18'}, 'order19': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]], [['q', [18]], ['q', [18]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]], ['q', [18]]]}, 'args': [], 'name': 'order19'}, 'order20': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]], [['q', [18]], ['q', [18]]], [['q', [19]], ['q', [19]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]], ['q', [18]], ['q', [19]]]}, 'args': [], 'name': 'order20'}, 'group2': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'group2'}, 'group3': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'group3'}, 'group4': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'group4'}, 'group5': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'group5'}, 'group6': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]]]}, 'args': [], 'name': 'group6'}, 'group7': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]]]}, 'args': [], 'name': 'group7'}, 'group8': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]]]}, 'args': [], 'name': 'group8'}, 'group9': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]]]}, 'args': [], 'name': 'group9'}, 'group10': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]]]}, 'args': [], 'name': 'group10'}, 'group11': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]]]}, 'args': [], 'name': 'group11'}, 'group12': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]]]}, 'args': [], 'name': 'group12'}, 'group13': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]]]}, 'args': [], 'name': 'group13'}, 'group14': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]]]}, 'args': [], 'name': 'group14'}, 'group15': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]]]}, 'args': [], 'name': 'group15'}, 'group16': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]], [['q', [5]], ['q', [5]]], [['q', [6]], ['q', [6]]], [['q', [7]], ['q', [7]]], [['q', [8]], ['q', [8]]], [['q', [9]], ['q', [9]]], [['q', [10]], ['q', [10]]], [['q', [11]], ['q', [11]]], [['q', [12]], ['q', [12]]], [['q', [13]], ['q', [13]]], [['q', [14]], ['q', [14]]], [['q', [15]], ['q', [15]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]]]}, 'args': [], 'name': 'group16'}, 'group17': {'definition': {'bits': [], 'commands': [], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', 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[15]]], [['q', [16]], ['q', [16]]], [['q', [17]], ['q', [17]]], [['q', [18]], ['q', [18]]], [['q', [19]], ['q', [19]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]], ['q', [5]], ['q', [6]], ['q', [7]], ['q', [8]], ['q', [9]], ['q', [10]], ['q', [11]], ['q', [12]], ['q', [13]], ['q', [14]], ['q', [15]], ['q', [16]], ['q', [17]], ['q', [18]], ['q', [19]]]}, 'args': [], 'name': 'group20'}}
\ No newline at end of file
diff --git a/pytket/pytket/qasm/includes/_qelib1_decls.py b/pytket/pytket/qasm/includes/_qelib1_decls.py
index c24184f9cb..1bd1396dd1 100644
--- a/pytket/pytket/qasm/includes/_qelib1_decls.py
+++ b/pytket/pytket/qasm/includes/_qelib1_decls.py
@@ -1,2 +1,2 @@
 """DO NOT EDIT! GENERATED BY load_includes.py."""
-_INCLUDE_DECLS={'u3': {'args': ['theta', 'phi', 'lamb'], 'name': 'u3'}, 'u2': {'args': ['phi', 'lamb'], 'name': 'u2'}, 'u1': {'args': ['lamb'], 'name': 'u1'}, 'cx': {'args': [], 'name': 'cx'}, 'id': {'args': [], 'name': 'id'}, 'u0': {'args': ['gamma'], 'name': 'u0'}, 'u': {'args': ['theta', 'phi', 'lamb'], 'name': 'u'}, 'p': {'args': ['lamb'], 'name': 'p'}, 'x': {'args': [], 'name': 'x'}, 'y': {'args': [], 'name': 'y'}, 'z': {'args': [], 'name': 'z'}, 'h': {'args': [], 'name': 'h'}, 's': {'args': [], 'name': 's'}, 'sdg': {'args': [], 'name': 'sdg'}, 't': {'args': [], 'name': 't'}, 'tdg': {'args': [], 'name': 'tdg'}, 'rx': {'args': ['theta'], 'name': 'rx'}, 'ry': {'args': ['theta'], 'name': 'ry'}, 'rz': {'args': ['phi'], 'name': 'rz'}, 'sx': {'args': [], 'name': 'sx'}, 'sxdg': {'args': [], 'name': 'sxdg'}, 'cz': {'args': [], 'name': 'cz'}, 'cy': {'args': [], 'name': 'cy'}, 'swap': {'args': [], 'name': 'swap'}, 'ch': {'args': [], 'name': 'ch'}, 'ccx': {'args': [], 'name': 'ccx'}, 'cswap': {'args': [], 'name': 'cswap'}, 'crx': {'args': ['lamb'], 'name': 'crx'}, 'cry': {'args': ['lamb'], 'name': 'cry'}, 'crz': {'args': ['lamb'], 'name': 'crz'}, 'cu1': {'args': ['lamb'], 'name': 'cu1'}, 'cp': {'args': ['lamb'], 'name': 'cp'}, 'cu3': {'args': ['theta', 'phi', 'lamb'], 'name': 'cu3'}, 'csx': {'args': [], 'name': 'csx'}, 'cu': {'args': ['theta', 'phi', 'lamb', 'gamma'], 'name': 'cu'}, 'rxx': {'args': ['theta'], 'name': 'rxx'}, 'rzz': {'args': ['theta'], 'name': 'rzz'}, 'rccx': {'args': [], 'name': 'rccx'}, 'rc3x': {'args': [], 'name': 'rc3x'}, 'c3x': {'args': [], 'name': 'c3x'}, 'c3sqrtx': {'args': [], 'name': 'c3sqrtx'}, 'c4x': {'args': [], 'name': 'c4x'}}
\ No newline at end of file
+_INCLUDE_DECLS={'u3': {'args': ['theta', 'phi', 'lamb'], 'name': 'u3'}, 'u2': {'args': ['phi', 'lamb'], 'name': 'u2'}, 'u1': {'args': ['lamb'], 'name': 'u1'}, 'cx': {'args': [], 'name': 'cx'}, 'id': {'args': [], 'name': 'id'}, 'u0': {'args': ['gamma'], 'name': 'u0'}, 'u': {'args': ['theta', 'phi', 'lamb'], 'name': 'u'}, 'p': {'args': ['lamb'], 'name': 'p'}, 'x': {'args': [], 'name': 'x'}, 'y': {'args': [], 'name': 'y'}, 'z': {'args': [], 'name': 'z'}, 'h': {'args': [], 'name': 'h'}, 's': {'args': [], 'name': 's'}, 'sdg': {'args': [], 'name': 'sdg'}, 't': {'args': [], 'name': 't'}, 'tdg': {'args': [], 'name': 'tdg'}, 'rx': {'args': ['theta'], 'name': 'rx'}, 'ry': {'args': ['theta'], 'name': 'ry'}, 'rz': {'args': ['phi'], 'name': 'rz'}, 'sx': {'args': [], 'name': 'sx'}, 'sxdg': {'args': [], 'name': 'sxdg'}, 'cz': {'args': [], 'name': 'cz'}, 'cy': {'args': [], 'name': 'cy'}, 'swap': {'args': [], 'name': 'swap'}, 'ch': {'args': [], 'name': 'ch'}, 'ccx': {'args': [], 'name': 'ccx'}, 'cswap': {'args': [], 'name': 'cswap'}, 'crx': {'args': ['lamb'], 'name': 'crx'}, 'cry': {'args': ['lamb'], 'name': 'cry'}, 'crz': {'args': ['lamb'], 'name': 'crz'}, 'cu1': {'args': ['lamb'], 'name': 'cu1'}, 'cp': {'args': ['lamb'], 'name': 'cp'}, 'cu3': {'args': ['theta', 'phi', 'lamb'], 'name': 'cu3'}, 'csx': {'args': [], 'name': 'csx'}, 'cs': {'args': [], 'name': 'cs'}, 'csdg': {'args': [], 'name': 'csdg'}, 'cu': {'args': ['theta', 'phi', 'lamb', 'gamma'], 'name': 'cu'}, 'rxx': {'args': ['theta'], 'name': 'rxx'}, 'rzz': {'args': ['theta'], 'name': 'rzz'}, 'rccx': {'args': [], 'name': 'rccx'}, 'rc3x': {'args': [], 'name': 'rc3x'}, 'c3x': {'args': [], 'name': 'c3x'}, 'c3sqrtx': {'args': [], 'name': 'c3sqrtx'}, 'c4x': {'args': [], 'name': 'c4x'}}
\ No newline at end of file
diff --git a/pytket/pytket/qasm/includes/_qelib1_defs.py b/pytket/pytket/qasm/includes/_qelib1_defs.py
index 8a9fcf9552..f56eef653b 100644
--- a/pytket/pytket/qasm/includes/_qelib1_defs.py
+++ b/pytket/pytket/qasm/includes/_qelib1_defs.py
@@ -1,2 +1,2 @@
 """DO NOT EDIT! GENERATED BY load_includes.py."""
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'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '2fa1db57-37ee-4b96-8b98-3a6cf3da6600', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 's'}, 'id': '03fa04bb-688d-47ca-b1e7-9e17fd9be3ef', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'cy'}, 'swap': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '0311fd42-6de0-4e44-b31e-e93dbc69a4a6', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [0]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '72f8c47e-6689-49cb-8d1b-c2903c23320b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'bee31c7b-17b7-45d0-9632-901eb63efa4f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'swap'}, 'ch': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '390e6ffa-dcb0-411b-9677-befb1dcf64c4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '12df2466-a569-4571-8474-665ba52f7703', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'sdg'}, 'id': '0463fccc-e8a9-4994-b0cb-7e940b7d591c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '7cd3df0a-bd48-4493-a601-3663ab1f8ac8', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'aabb3a1b-b7a2-4334-86ce-11c15d7633b3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '8cd6b95d-08b8-46ec-beb9-5c4b8ff7e193', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': '776ee3d9-24bc-46de-9d7e-7cf38dfec96d', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'd0fcea18-e358-4080-a91e-91c0be02934f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': 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{'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '8cd6b95d-08b8-46ec-beb9-5c4b8ff7e193', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': '9f8251be-1a96-433a-993c-29a2ec92bcc2', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '72c6c4e0-c97c-4a33-b649-299765504b62', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '2fa1db57-37ee-4b96-8b98-3a6cf3da6600', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 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[], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'ch'}, 'ccx': {'definition': {'bits': [], 'commands': [{'args': [['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'df9abca8-90b9-4794-8cec-9ee6027a660c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '870e3813-72aa-490e-a4c1-972ff5f33910', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 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[0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '8cd6b95d-08b8-46ec-beb9-5c4b8ff7e193', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': '708c5dc9-878f-4d51-ab2b-12d56a53f30e', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': 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'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '8cd6b95d-08b8-46ec-beb9-5c4b8ff7e193', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': '5a7055ca-70fe-44a6-9da8-3ae66c484369', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 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{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '6f15f1ce-4b2f-4eb3-aa22-d4a8ecb33f2b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'ccx'}, 'cswap': {'definition': {'bits': [], 'commands': [{'args': [['q', [2]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 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'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '6f15f1ce-4b2f-4eb3-aa22-d4a8ecb33f2b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'name': 'ccx'}, 'id': '5b8abecf-ec39-45c8-a7ce-2633d467544d', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'e41744ff-5b04-4e0f-8357-764ed1504ba5', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'cswap'}, 'crx': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7f9e8a55-c071-4192-826b-ceca88a32edd', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ab251ff3-2156-477c-aff1-6f8531d54c7c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': 'e7e22e43-cc3e-4f48-9e23-76a556c42be0', 'params': ['(-1/2)*lamb', '0', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'a137052d-0506-48df-936a-815de94717a4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '011abe66-a92b-4d4c-9b30-9743263cf922', 'params': ['(1/2)*lamb', '-1/2', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'crx'}, 'cry': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '4ca6821a-91a8-49a9-9288-5279f554900a', 'params': ['theta', '0', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'ry'}, 'id': '9fecaf9e-59fc-4a43-87c4-30b8a96185fd', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '3533cb20-2ed0-4583-8ec1-6e06a9505d7c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '4ca6821a-91a8-49a9-9288-5279f554900a', 'params': ['theta', '0', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'ry'}, 'id': '9a56b287-9f8f-43de-ae88-7dce84f4b20b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '72fa49e6-0175-4117-ad95-7ea7f2bdc1e2', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'cry'}, 'crz': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['phi'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '808c1cee-0398-48e9-bcdf-f3a48025392b', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'rz'}, 'id': 'fc68af4d-bf2f-4163-b546-5a9f2672eba0', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '61fef60c-0095-4677-97c7-04e7a1b2019f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['phi'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '808c1cee-0398-48e9-bcdf-f3a48025392b', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'rz'}, 'id': 'd39015c5-7ccf-4a52-825a-e9dc34375b88', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '1173f746-ec89-4a8b-be3d-72520df2dfd6', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'crz'}, 'cu1': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'cu1'}, 'cp': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '1a75ffbd-e756-4309-bfc3-19e82c96d37f', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '6051a426-40e9-40df-bf63-daa9cfc2fdee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'cc21519f-c0d6-4047-bcd0-de61e1c40cf9', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'cf162a35-6c3d-431d-b6fe-9bdd831fb7d7', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'a908bd7a-fcf5-4ad9-ac1d-70f788975cc7', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'cp'}, 'cu3': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ed847822-8b8e-4762-a7ac-f746134c21d2', 'params': ['(1/2)*(pi*lamb + pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '15f06338-cb7e-4952-8b76-aa5361842508', 'params': ['(1/2)*(pi*lamb - pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '922eb60a-9d0e-43ec-94f2-4bc18e9650da', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '44532870-6a05-48a9-8da4-ab6915100c58', 'params': ['(-1/2)*theta', '0', '(-1/2)*(pi*lamb + pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '7b3b701b-8252-464d-a98c-154596a85dcf', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': 'f80e767f-7ac2-4e3e-89e5-25c688f45a7a', 'params': ['(1/2)*theta', 'phi', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta', 'phi', 'lamb'], 'name': 'cu3'}, 'csx': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '581d50aa-a6e7-430b-badf-e7e3365a1221', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'd329b235-4248-4b7f-877e-c4e2ea824319', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'a921aedd-ee27-4fc0-bdee-4b9b70411baa', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'csx'}, 'cu': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '85434ba9-dde0-4699-a221-0f59962ebd82', 'params': ['gamma'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '1aea13e8-a252-465f-983c-8c7b64c876f2', 'params': ['(1/2)*(pi*lamb - pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '367bd311-db32-4edf-87fc-71007881ec16', 'params': ['(1/2)*(pi*lamb + pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'e061fc9a-9c2d-41d1-b5d1-9034133da813', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u'}, 'id': 'a98ead1b-ebfe-4446-affd-f1759df1d2aa', 'params': ['(-1/2)*theta', '0', '(-1/2)*(pi*lamb + pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '482fedbe-96c6-4482-ab90-4d60a2894cb4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u'}, 'id': 'dee312ab-e780-4e35-b592-674b9c4aecb1', 'params': ['(1/2)*theta', 'phi', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta', 'phi', 'lamb', 'gamma'], 'name': 'cu'}, 'rxx': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '8395b63e-d171-4e88-87db-8aeebae1a798', 'params': ['1/2', 'theta', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'd404228d-9344-44de-a25c-51ecca2d00aa', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'e88c9725-c829-4cfd-8727-4b23bacb7927', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f7932610-4893-484c-8640-b75be88f5189', 'params': ['-theta'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '25c3178c-1efa-4dca-8e88-57ad4e24a502', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '608cb12e-86dc-497b-91ab-400cdb86d5af', 'params': ['-1', '(-pi*theta + pi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '09f47c15-b11c-4644-bb09-dd762660b5ba', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta'], 'name': 'rxx'}, 'rzz': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'acf2dccd-694c-459d-ba6f-7fd8b6b3e17c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'b54f0f4c-5dfa-4435-bce8-cd5d84b3d247', 'params': ['theta'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'b2dc002a-5702-4410-8a92-8acb6650a0df', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta'], 'name': 'rzz'}, 'rccx': {'definition': {'bits': [], 'commands': [{'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '9d287522-f0fa-4eb6-bc54-1083224b32ec', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e843e723-ca37-4ee0-a4f2-39f22233fabc', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4f3b97ec-c492-4c40-b208-9ab1f5065daf', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '81215a69-bfa7-420f-98e2-05dcfc070aed', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '6394aee4-4a9c-44db-92ad-966368ae7565', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'd8d95a85-f100-40e7-b9bc-d1c6b18db552', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '414b1a00-cb5b-4c91-a15a-19992e1736e1', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '944548bc-7f2e-4c24-87b1-44c9f6e84b12', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '668e3d80-8fa5-4646-890f-c694e66f22ef', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'rccx'}, 'rc3x': {'definition': {'bits': [], 'commands': [{'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ab905b66-cf2a-41c8-ba22-87d945623311', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '05e3f4fb-5236-4a99-a03a-7dbfc56bfbf3', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ff4d3bc2-f7b9-4a5e-b76a-aa115c30ca0f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '456a9eba-4a52-4289-a40d-b75c7cd7bd9d', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '858cf35b-1f9d-40f4-b9ef-f1534cf48908', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '2368db09-5c79-4b0f-ac8b-4ec1cc64f432', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '3d30a444-f3ae-4b65-89fa-458d23131b21', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '1c4ae4f7-f08b-4d02-a649-6a4e62b44062', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'c34d0481-128e-4d8a-bb32-71f6f3ded257', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '2af41c0c-c19f-4b32-bf36-112ebc66218f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '5cb69c0c-f731-4146-8c91-d7a7b4725c61', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '88e5ac33-d9a3-4d42-a736-83d06ffa4e21', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'd400b419-e9dd-4adf-8b7f-11cae3d956b9', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'acdaea00-9163-4973-8983-c7afc8d0bb0a', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '1a6a326a-6419-485d-9388-5ccb60a4996a', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'e0936a32-acaa-449b-946b-d0d9d13a061a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'd0097bb9-5518-4897-9fdf-f8eacae41c52', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'a36d685c-17c5-40b7-ad72-b55e9caec2a8', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'rc3x'}, 'c3x': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '921e6abc-4d72-4ae2-920b-710fc2b013ce', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '1c917b09-7fed-41fa-87a1-3e2a95321004', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '376ac3e8-2922-4671-bd06-081e210db752', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '144b057d-ed73-41a0-8a44-3d3f86e9f2e3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'f664d594-5e69-4667-bd84-1ec60d446534', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '8ccabfd1-6e6b-4ff4-b8ff-3fc915466392', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '2218a26c-f165-478a-9fdc-6b663a5733aa', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '92aa0a86-c4fd-4482-8b27-c34d63db509c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'd48ecdb7-48ad-4678-9c49-13b07464442c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '0a3b2e01-70f3-4f0f-9176-633844f306d4', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'e7140729-56db-4a04-9723-b70a13227046', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '33c59350-0721-4c0c-8336-29d9a8225120', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '5b47b3f0-debb-4320-96fe-58cc7ca5b357', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '1aa8010f-ea91-4983-a87c-458d11d5ff8d', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'a2276bd4-d864-4550-99d7-75ce9cf4595b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4b676486-c969-442b-b849-ce129767727f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '669bd23f-1bf4-4931-b4d9-b98d3615fa1c', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '20f04b51-044c-4919-ab89-14d448332694', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'dd7705d2-6787-4558-ac85-795679dfc8cd', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '75b9756d-ec99-42b8-beb4-a94b7f059f1a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'e2110049-c6ca-4a96-9534-9951f2db31e6', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '41224b80-442c-4de8-85db-21859f723622', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '3459933d-7f58-421b-9933-8b8765813751', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'bba1571d-4aac-471a-b784-a00e1196525e', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '4d945c9b-6959-49c4-9aff-fb09ec297a57', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '29de5123-f4ab-4e0c-bb4b-5b00637a609f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '0eec7d95-1698-4053-a482-89fb73e39151', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '241b26d8-2569-4c7b-b2e1-eccd2e9eba80', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'b48cc9f6-0ee8-48e0-978b-d11b36be81fe', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '541a6afe-bfc0-4299-bcee-94d533a661fa', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '9dff8a75-bb82-4bff-bdc9-874e36e096bc', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'c3x'}, 'c3sqrtx': {'definition': {'bits': [], 'commands': [{'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '0a7d70cd-466f-470c-9629-e97308e7428b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '4a75e8fa-79c6-4407-852a-20750e623d2f', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'b8b78e61-b81d-4ff6-abb5-0e352d856800', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '544ee823-b3f2-4a0f-b290-3c6f7f3af852', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '42942659-4c9c-4b72-bc32-f4246cbac76a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 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[], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 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'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '7356dbfb-d034-4889-a106-238cc47b1862', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'be1627ee-fb6d-4b08-9483-dd972df1d0d7', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '30fa8d5d-9567-451f-a50b-f2c76716c104', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'f30dc496-57ec-4dfe-82c1-69f31a2dfe67', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '37a794f3-363f-4deb-b316-f98f784bdd70', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'e8b73e3d-1d3b-4fa1-9999-8f30cb4434cd', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '166ea871-98ee-48dc-b155-5e5856890353', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'c3sqrtx'}, 'c4x': {'definition': {'bits': [], 'commands': [{'args': [['q', [4]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '453b0d8e-35cb-4a1c-bb03-8dc8b01ea08a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]], ['q', [4]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '296702cd-d538-4f95-ae6f-33c791afd4aa', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '921e6abc-4d72-4ae2-920b-710fc2b013ce', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '1c917b09-7fed-41fa-87a1-3e2a95321004', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '376ac3e8-2922-4671-bd06-081e210db752', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '144b057d-ed73-41a0-8a44-3d3f86e9f2e3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'f664d594-5e69-4667-bd84-1ec60d446534', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '8ccabfd1-6e6b-4ff4-b8ff-3fc915466392', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 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[[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'd48ecdb7-48ad-4678-9c49-13b07464442c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '0a3b2e01-70f3-4f0f-9176-633844f306d4', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': 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'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4b676486-c969-442b-b849-ce129767727f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '669bd23f-1bf4-4931-b4d9-b98d3615fa1c', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': 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[1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '75b9756d-ec99-42b8-beb4-a94b7f059f1a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'e2110049-c6ca-4a96-9534-9951f2db31e6', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 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'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'bba1571d-4aac-471a-b784-a00e1196525e', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '4d945c9b-6959-49c4-9aff-fb09ec297a57', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 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'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '9dff8a75-bb82-4bff-bdc9-874e36e096bc', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', 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[], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 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'b8b78e61-b81d-4ff6-abb5-0e352d856800', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '544ee823-b3f2-4a0f-b290-3c6f7f3af852', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '42942659-4c9c-4b72-bc32-f4246cbac76a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '34e525cc-e66d-4faf-bd88-63452bb15eea', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '039fbcfa-45e4-4f86-acbc-4b8e03e57c7c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': 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'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 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[[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'cb7fd185-3f1b-4ac6-a01c-7ab0a80ef886', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 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'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '731e9499-c7ed-4258-938f-fb9e4509a2fe', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '5c42fc2d-1fd3-4b7a-81d0-202f6ac26ecc', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '4cfbeb72-0b69-4f89-a679-518267752c23', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '115da913-8e82-413c-9141-98d181223eaf', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '3205ac0f-ac11-487f-bd8f-12e4ce17071d', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4fdba983-ce8c-4d45-b1be-c0c816358686', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'ad65b11d-9885-46ce-a168-bd777b96ecb9', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '7356dbfb-d034-4889-a106-238cc47b1862', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'be1627ee-fb6d-4b08-9483-dd972df1d0d7', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '30fa8d5d-9567-451f-a50b-f2c76716c104', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'f30dc496-57ec-4dfe-82c1-69f31a2dfe67', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '37a794f3-363f-4deb-b316-f98f784bdd70', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '7de8be13-9d11-4c54-9d06-d5d5ffc0ec98', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea0f8ab1-c25c-4048-a5a9-e99bcd7bedee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f1dfa7bb-d11d-4515-a159-85db01bcad1b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '579104f5-9396-4868-99cd-69d9e8b2b2c0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'df8817a8-5d82-4a66-b0d3-3da05b25ea15', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'e8b73e3d-1d3b-4fa1-9999-8f30cb4434cd', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '70f16880-9c26-4a46-b790-7288e3c18306', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '166ea871-98ee-48dc-b155-5e5856890353', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'name': 'c3sqrtx'}, 'id': 'e11a0b68-3791-48cc-981d-954ffc84376f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'c4x'}}
\ No newline at end of file
+_INCLUDE_DEFS={'u3': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['theta', 'phi', 'lamb'], 'name': 'u3'}, 'u2': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['phi', 'lamb'], 'name': 'u2'}, 'u1': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['lamb'], 'name': 'u1'}, 'cx': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'cx'}, 'id': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', '0'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': [], 'name': 'id'}, 'u0': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', '0'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'args': ['gamma'], 'name': 'u0'}, 'u': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': 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'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '4be269fb-6fe8-4eb3-b192-983cca5eafb3', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 's'}, 'id': '71143f8b-5d78-41a2-a299-9c4361670642', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'cy'}, 'swap': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '2f1e26bd-ae18-433b-ab52-089b94bea0c5', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [0]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'fb34f012-6733-4264-b409-c986db3ab001', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '87f29fee-b544-4af6-8ac3-d58bf68c6f12', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'swap'}, 'ch': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'b9e819ca-de8d-42ba-9cb0-86d80241de8b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'bd00f59a-3793-4b49-a5ff-517c12c0652c', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'sdg'}, 'id': '51026748-4b3f-46d5-9d61-cf207ec76eae', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '77b51f0a-5680-4ba7-8732-a213ffc790fe', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'b27e3cf8-f9ba-4ac9-96f0-9b6519dd71e5', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '15e52e79-bafd-4ee9-93ad-0ae2ce28d032', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': '5004fb84-3c18-4371-981a-236895852d53', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '77e41df8-5b42-4cc6-8a6f-4f343ea8b3e9', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '4be269fb-6fe8-4eb3-b192-983cca5eafb3', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 's'}, 'id': '34501f39-3ab6-4d74-afd4-7b5c3844ff55', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '15e52e79-bafd-4ee9-93ad-0ae2ce28d032', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': '9b59ee02-46fd-4b58-9717-a4c7baff9b52', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '77265e89-2a56-44f7-96ce-7a7b0f488d45', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '4be269fb-6fe8-4eb3-b192-983cca5eafb3', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 's'}, 'id': '3708c26d-7ce6-43c1-8985-a5b28b4944d6', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '2cfa0523-f40a-4516-a3d7-f883ac0d4b86', 'params': ['1', '0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'x'}, 'id': 'd5766af0-1b36-4ea3-9fe4-c1563e661644', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'ch'}, 'ccx': {'definition': {'bits': [], 'commands': [{'args': [['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '841179f0-c8f0-4879-85db-fa580f525983', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '195829ca-8416-43ca-908c-bb1e4bfbf44c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f7b8d83c-1fa5-4e29-93a6-489a2a5dd1a3', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'tdg'}, 'id': 'db1c531c-8980-4fc9-a219-7a6b478f6563', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4146fb7f-9f60-422e-a8ea-0828965a7b72', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '15e52e79-bafd-4ee9-93ad-0ae2ce28d032', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': '8f55ed56-e3fd-4612-be85-103fb009f33c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': 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'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f7b8d83c-1fa5-4e29-93a6-489a2a5dd1a3', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'tdg'}, 'id': '93a2f6bc-496f-4fdb-9316-2e2ee8555512', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': 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'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '15e52e79-bafd-4ee9-93ad-0ae2ce28d032', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': '2aad3514-0f73-4f3f-8ec1-d355186bfb1f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '15e52e79-bafd-4ee9-93ad-0ae2ce28d032', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': 'e7ab9d70-b9a0-4a97-a42a-10fe6a757a73', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f7b8d83c-1fa5-4e29-93a6-489a2a5dd1a3', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], 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{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '0f57e0ef-4e07-4ef5-8d3f-bc1a64cd3a34', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'ccx'}, 'cswap': {'definition': {'bits': [], 'commands': [{'args': [['q', [2]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 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'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '841179f0-c8f0-4879-85db-fa580f525983', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '195829ca-8416-43ca-908c-bb1e4bfbf44c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f7b8d83c-1fa5-4e29-93a6-489a2a5dd1a3', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'tdg'}, 'id': 'db1c531c-8980-4fc9-a219-7a6b478f6563', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4146fb7f-9f60-422e-a8ea-0828965a7b72', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '15e52e79-bafd-4ee9-93ad-0ae2ce28d032', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 't'}, 'id': '8f55ed56-e3fd-4612-be85-103fb009f33c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 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'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f7b8d83c-1fa5-4e29-93a6-489a2a5dd1a3', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'tdg'}, 'id': '93a2f6bc-496f-4fdb-9316-2e2ee8555512', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', 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'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '0f57e0ef-4e07-4ef5-8d3f-bc1a64cd3a34', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'name': 'ccx'}, 'id': 'a3ce4463-bf7c-45f5-a536-28da600b6bcd', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ce26bc2d-b0dc-482e-ba1c-685b311a0a83', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'cswap'}, 'crx': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '03c18a62-c01b-4eee-870a-e8db7821c4ad', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'd84eefce-1205-4079-a8aa-3cb43f524fa9', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '02886971-90af-403a-9b5b-f056ab396405', 'params': ['(-1/2)*lamb', '0', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '3be07dd3-d94f-44a2-80cb-646d3adafc7d', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '550de273-f85d-431b-acb0-1a6329e6b6fc', 'params': ['(1/2)*lamb', '-1/2', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'crx'}, 'cry': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '396e0f25-ff5f-43bd-bfc9-1ee831385e3d', 'params': ['theta', '0', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'ry'}, 'id': '65d0f86d-0a19-4019-9a93-b51e48dc4067', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '9700982b-7230-48c7-b6fe-a0bc9f92fe4a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '396e0f25-ff5f-43bd-bfc9-1ee831385e3d', 'params': ['theta', '0', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'ry'}, 'id': '5f00e2b4-4d93-46aa-8acc-dc368a426d8b', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'b0aaa762-aa04-4f75-b1ca-ec069f76f1a0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'cry'}, 'crz': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['phi'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '819e3335-29cd-4146-a6a0-493eecde6b4b', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'rz'}, 'id': 'd31c02c1-f463-4337-825b-ade0b0bd7a60', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '5ed0d3d4-b845-4f50-929b-292a7f6cbc96', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['phi'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '819e3335-29cd-4146-a6a0-493eecde6b4b', 'params': ['phi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'rz'}, 'id': '7f494398-d754-49fd-9796-ac42d5c20c99', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '12fe7322-5e2e-4617-aa24-e89593633f10', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'crz'}, 'cu1': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'cu1'}, 'cp': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '359935a3-6cab-4a3c-a44d-338160b0442d', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '1c8fd6fd-845a-423b-936c-dce16a430922', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '5f280f08-0f3c-4ef1-adc1-e32e2690dcd3', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '2acdb082-436f-441b-8f17-ed26e51accb0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '35ac78f5-d5d1-4d41-87ee-fd338283ed95', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['lamb'], 'name': 'cp'}, 'cu3': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '9a7ecc21-5930-42b3-a9ee-a6b1d64b48a4', 'params': ['(1/2)*(pi*lamb + pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '73abf28e-18f8-4d54-908f-aa317546ea3c', 'params': ['(1/2)*(pi*lamb - pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '2c95bd4f-cbea-4e32-acd5-64d227f124cb', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': '2080b7b8-3f0a-4bf0-aef6-34077357df53', 'params': ['(-1/2)*theta', '0', '(-1/2)*(pi*lamb + pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '36a429a2-fd83-4671-b8cd-9fa43df93fa2', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': 'c7b43621-62af-4d31-85e6-553cf789d2ea', 'params': ['(1/2)*theta', 'phi', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta', 'phi', 'lamb'], 'name': 'cu3'}, 'csx': {'definition': {'bits': [], 'commands': [{'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '4cf7abcc-c3ba-47c9-b752-a8a41c3aeb33', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'b91457d1-4b9f-4740-950d-aeb1caa8324a', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '518b19b1-a5bd-4478-9f51-c26ba6dca92d', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'csx'}, 'cs': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '4ba13eb5-4262-4c42-9d5a-f855904a8082', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'cs'}, 'csdg': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '85322eaa-afd8-464a-8698-3717b0132540', 'params': ['-1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': [], 'name': 'csdg'}, 'cu': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '709da721-fd7f-4ff6-84ec-2141971f2303', 'params': ['gamma'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'a4821a48-7609-49ce-966c-a2c95bcc2041', 'params': ['(1/2)*(pi*lamb - pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'edcb7c17-92de-41d0-a5ce-fb1eeb32ac68', 'params': ['(1/2)*(pi*lamb + pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'e1172f5b-cf45-4140-8572-911a2d27c5ce', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u'}, 'id': 'a3e4d7f3-e7eb-49d1-b291-e1f922d3c38a', 'params': ['(-1/2)*theta', '0', '(-1/2)*(pi*lamb + pi*phi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ea787c8c-07fd-4665-9797-378909955740', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u'}, 'id': '0ae039d1-1be8-43c7-8fbc-508099e2282f', 'params': ['(1/2)*theta', 'phi', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta', 'phi', 'lamb', 'gamma'], 'name': 'cu'}, 'rxx': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['theta', 'phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['theta', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u3'}, 'id': 'f7bfd085-fec6-49a3-9ccb-7b371e359c24', 'params': ['1/2', 'theta', '0'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'e68f660b-28c7-4915-ae0d-aec00264dbbb', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '9d19f1bb-4d14-4a89-9ad2-53ec5cd15f2f', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '080a6bae-204a-433c-920b-d59fdbc33be9', 'params': ['-theta'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '79df9b70-812f-41f9-9aee-0b60510a553a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ea305e57-35b0-447b-b12a-eeea3a75cb26', 'params': ['-1', '(-pi*theta + pi)/pi'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '40539a3b-7c04-4b92-9eb8-06420effd2c2', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta'], 'name': 'rxx'}, 'rzz': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '9d25e983-8cb7-4e83-be85-87df681eb11e', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '1200eba6-0ff7-4e80-bc65-5367c63055c0', 'params': ['theta'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '9ab34cb1-958d-4eff-a792-a922a36dc1a6', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'args': ['theta'], 'name': 'rzz'}, 'rccx': {'definition': {'bits': [], 'commands': [{'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'd52849a9-2b48-48c3-8559-c58e700d7b4c', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '22ef1fc1-bdc7-452d-bc05-e92c92c5656f', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '2a4b672a-3e29-437b-af54-1003f3baedac', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '056b12de-78fc-47bf-b9d8-3a9bb509e0db', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '7a133392-4c95-4cfb-8dfb-9c97bdabcfbf', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'd8e20b1d-4426-4d2d-baba-8ed52bf47148', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '583b89b2-a5f2-4c9b-a6ca-4625d1e51166', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '6aabdcb1-85a8-4d44-9017-a2673a2dc66f', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '3fef903e-ff53-48da-91eb-2cc33c2d62f6', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]]]}, 'args': [], 'name': 'rccx'}, 'rc3x': {'definition': {'bits': [], 'commands': [{'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '0e6f8353-2ac3-4d62-bda6-c20230df1102', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ebfa821d-b0dd-4036-a0c0-666fb89a3a2f', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c6942f3a-e464-4270-8a87-bea95a6af7fa', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '6b648946-6931-4092-a2cc-048a262762ac', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '3f2ae678-e322-4ace-aa49-001a562c56aa', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'fe05d977-c260-4d7b-a5c7-ea18e6c37511', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'f6842995-7075-4ad7-8071-e865a35ba3ad', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'e3db0057-62cf-409a-8014-f43697676e48', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '9d55a7f3-2cf3-4125-8cdd-8d416321136d', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '076d8bf2-a623-4dd0-96c5-b52b13e7fc7c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '1b04398c-183c-498d-b031-618371277e39', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '26528b6a-cd37-4dc8-b54e-87071dc92ca0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '50155d4a-7456-4069-bf39-7a29eefeeb53', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '3368f306-73b6-424a-bbd1-ce2408646fb3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'cc128768-92e9-4540-a4c9-2b3f56c406dc', 'params': ['1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'bf6b9e19-3019-43d5-bdfa-ddefa9655a03', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'c1fca543-be47-425c-a043-801e9095e55b', 'params': ['-1/4'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': '89045d95-6208-48e8-a107-3a1cf5b46bb5', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'rc3x'}, 'c3x': {'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'cd82c83c-3055-4032-a81c-05fcdc5121c1', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '6133c266-b94d-4223-8efe-a9fc35f9f879', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '249f33bf-82fa-46f3-95db-2a87eab3c122', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '3599a73f-1e38-48c6-9da9-b31347170114', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '1d742090-a105-488f-b880-11e728d35817', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'a95acd4a-342e-42ff-a39d-9a84dba509c4', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'f1b4696a-c8c9-4319-95f7-3d57c3c79962', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '02394604-e038-499c-9914-f7d0abdabeaa', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '2048a985-4530-47d3-a88e-caca6457d5d0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '4c5012b3-7f60-44cf-872b-e66bdcad321f', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ddb95e9d-54bc-4036-90f0-5f595f89d1ce', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '016db449-8d38-4a71-ac8d-725474a2a330', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '081e6820-a476-499d-a56e-baf515ff2ea5', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '24b1bbf4-da01-4dfb-8a07-1d667f67339e', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '55decee2-8808-493c-b176-f1d262e7eafc', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '77302681-9f68-4e07-9a82-a08e4a1b0ed1', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'ae7d5e1a-4e65-4f49-b771-d3e14299e743', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'f4ac773d-2d78-49c0-bbe1-b1e502dfa238', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'c196e0f6-86c5-4235-a73d-c623311a998e', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'fc543db1-7a32-488e-a22c-77389f1921a5', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '76b76ce7-d603-4420-9123-ccc59f5267f7', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'fe89a446-ecfe-4516-9def-3f3c5210507a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '5732a2fa-8118-4a33-b12f-c8cf6b354945', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'a05df1f7-cc9a-442a-adca-eef85af1e6a4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '164e2abb-8d27-4f6f-ac87-08390820de61', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ed9a79de-0662-444d-890a-be454a06bfac', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'd5c4d9ca-ce43-4c7e-8019-518fc7723fbf', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4bef0c72-b0bb-4070-80af-80764743b9d1', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '33d5706a-0c2c-4b85-ac9e-4a7ea031a0cd', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '997066ae-1bbd-4811-a972-0d8da8909131', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '223667b2-8d46-44c4-b4bb-d446a81e5b0b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'c3x'}, 'c3sqrtx': {'definition': {'bits': [], 'commands': [{'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '3765fef2-2f16-4e12-aa74-fabbd87ff360', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 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{'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '894e5a07-0ea8-4341-a144-6bafc973c30d', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '6eaa0865-4b6d-4431-b6eb-1f44a823f772', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'de3ee67d-40d4-48d7-8a64-9f54d4314137', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'e1839a8c-8b83-416e-8679-a74c7daf042b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'ba033867-adb4-441e-8778-73474ef225f6', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '91664acb-9df7-479b-adc4-94ff2519e52d', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '2f96060a-9df2-414f-adbf-9499d512c170', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 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[], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 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'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 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{'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '93a19bd7-98de-4b62-8458-3188c9c16eee', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'c8241a61-b679-443c-9426-d75b88000ac8', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'af269176-617c-4fe1-80db-72d3b30c629c', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ed3489ea-639c-4e6d-bf54-6e96a9f6f71e', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'de121b88-f585-4454-94a8-b79b176f5436', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '3e17d548-f457-4b26-8d83-3017cce23320', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'f9f4fb77-f6dc-47bb-adec-ded024ae22e9', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c5b6b46b-a4b8-4184-be2c-1bb095884be2', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '1bccca89-97d9-4c00-b7fe-df670c4e0641', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'c526897f-9af0-4e92-80ce-afd174cd484b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '2736cbf8-3411-444c-9aee-3c9a746b421e', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '5b2fe195-c91e-48f3-ae1b-48a36de20fab', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'args': [], 'name': 'c3sqrtx'}, 'c4x': {'definition': {'bits': [], 'commands': [{'args': [['q', [4]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '89102cdb-83cb-4af1-a469-8e8e8bda6888', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]], ['q', [4]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '50a16d0b-296e-47fa-9be5-5eb7cbab47ad', 'params': ['1/2'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'cd82c83c-3055-4032-a81c-05fcdc5121c1', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '6133c266-b94d-4223-8efe-a9fc35f9f879', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '249f33bf-82fa-46f3-95db-2a87eab3c122', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '3599a73f-1e38-48c6-9da9-b31347170114', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '1d742090-a105-488f-b880-11e728d35817', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'a95acd4a-342e-42ff-a39d-9a84dba509c4', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'f1b4696a-c8c9-4319-95f7-3d57c3c79962', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '02394604-e038-499c-9914-f7d0abdabeaa', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '2048a985-4530-47d3-a88e-caca6457d5d0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '4c5012b3-7f60-44cf-872b-e66bdcad321f', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ddb95e9d-54bc-4036-90f0-5f595f89d1ce', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '016db449-8d38-4a71-ac8d-725474a2a330', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 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'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '77302681-9f68-4e07-9a82-a08e4a1b0ed1', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'ae7d5e1a-4e65-4f49-b771-d3e14299e743', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'f4ac773d-2d78-49c0-bbe1-b1e502dfa238', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'c196e0f6-86c5-4235-a73d-c623311a998e', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'fc543db1-7a32-488e-a22c-77389f1921a5', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '76b76ce7-d603-4420-9123-ccc59f5267f7', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 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'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'a05df1f7-cc9a-442a-adca-eef85af1e6a4', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '164e2abb-8d27-4f6f-ac87-08390820de61', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 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[2]], ['q', [3]]]}, 'name': 'c3x'}, 'id': 'd89010ad-f0cf-4479-84c5-eb6f91f4b30b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [4]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'bfd28afb-3b72-4837-8a4b-4d9f39b3090e', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [4]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '7ee4206e-2b65-4a04-bf80-7244a37fad88', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]], ['q', [4]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 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'p'}, 'id': 'cd82c83c-3055-4032-a81c-05fcdc5121c1', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '6133c266-b94d-4223-8efe-a9fc35f9f879', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '249f33bf-82fa-46f3-95db-2a87eab3c122', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '3599a73f-1e38-48c6-9da9-b31347170114', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '1d742090-a105-488f-b880-11e728d35817', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'a95acd4a-342e-42ff-a39d-9a84dba509c4', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 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'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '2048a985-4530-47d3-a88e-caca6457d5d0', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '4c5012b3-7f60-44cf-872b-e66bdcad321f', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [2]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 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[], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '77302681-9f68-4e07-9a82-a08e4a1b0ed1', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'ae7d5e1a-4e65-4f49-b771-d3e14299e743', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 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'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'fe89a446-ecfe-4516-9def-3f3c5210507a', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '5732a2fa-8118-4a33-b12f-c8cf6b354945', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 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'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': 'd5c4d9ca-ce43-4c7e-8019-518fc7723fbf', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '4bef0c72-b0bb-4070-80af-80764743b9d1', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'p'}, 'id': '33d5706a-0c2c-4b85-ac9e-4a7ea031a0cd', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '997066ae-1bbd-4811-a972-0d8da8909131', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '223667b2-8d46-44c4-b4bb-d446a81e5b0b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'name': 'c3x'}, 'id': 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{'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '3765fef2-2f16-4e12-aa74-fabbd87ff360', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '894e5a07-0ea8-4341-a144-6bafc973c30d', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 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{'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'e1839a8c-8b83-416e-8679-a74c7daf042b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 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'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': 'ba033867-adb4-441e-8778-73474ef225f6', 'params': ['-1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': '91664acb-9df7-479b-adc4-94ff2519e52d', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': 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'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 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[], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '1bccca89-97d9-4c00-b7fe-df670c4e0641', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': 'c526897f-9af0-4e92-80ce-afd174cd484b', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [2]], ['q', [3]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'e2f8c71b-83e5-4afd-b623-432430e9252c', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'c2fcbe60-5e26-434d-8b46-cad716a8f71c', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': 'ca1558a6-f448-4f67-ac4e-8639249e8b74', 'params': ['(-1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [0]], ['q', [1]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]], ['q', [1]]], 'op': {'type': 'CX'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cx'}, 'id': 'ae36d497-61f3-4014-aa0e-204fcbc26cc3', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [1]]], 'op': {'box': {'gate': {'args': ['lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['0', '0', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u1'}, 'id': '0c0ad0ab-738d-4b90-b49d-ffbb66d596d3', 'params': ['(1/2)*lamb'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]]]}, 'name': 'cu1'}, 'id': '2736cbf8-3411-444c-9aee-3c9a746b421e', 'params': ['1/8'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}, {'args': [['q', [3]]], 'op': {'box': {'gate': {'args': [], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'box': {'gate': {'args': ['phi', 'lamb'], 'definition': {'bits': [], 'commands': [{'args': [['q', [0]]], 'op': {'params': ['1/2', 'phi', 'lamb'], 'type': 'U3'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'u2'}, 'id': 'ad223db4-2dbc-452c-917e-43d5ed735fe3', 'params': ['0', '1'], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]]], 'phase': '0.0', 'qubits': [['q', [0]]]}, 'name': 'h'}, 'id': '5b2fe195-c91e-48f3-ae1b-48a36de20fab', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]]]}, 'name': 'c3sqrtx'}, 'id': 'f31ef8ed-b5d7-4506-9983-565dc864bd55', 'params': [], 'type': 'CustomGate'}, 'type': 'CustomGate'}}], 'created_qubits': [], 'discarded_qubits': [], 'implicit_permutation': [[['q', [0]], ['q', [0]]], [['q', [1]], ['q', [1]]], [['q', [2]], ['q', [2]]], [['q', [3]], ['q', [3]]], [['q', [4]], ['q', [4]]]], 'phase': '0.0', 'qubits': [['q', [0]], ['q', [1]], ['q', [2]], ['q', [3]], ['q', [4]]]}, 'args': [], 'name': 'c4x'}}
\ No newline at end of file
diff --git a/pytket/pytket/qasm/includes/hqslib1.inc b/pytket/pytket/qasm/includes/hqslib1.inc
index 1305629254..85d586d4ce 100644
--- a/pytket/pytket/qasm/includes/hqslib1.inc
+++ b/pytket/pytket/qasm/includes/hqslib1.inc
@@ -186,6 +186,10 @@ gate cu3(theta, phi, lam) c, t
 }
 // controlled-sqrt(X)
 gate csx a,b { h b; cu1(pi/2) a,b; h b; }
+// controlled-S
+gate cs a,b {cu1(pi/2) a,b;}
+// controlled-conjugate S
+gate csdg a,b {cu1(-pi/2) a,b;}
 // controlled-U gate
 gate cu(theta,phi,lam,gamma) c, t
 { p(gamma) c;
diff --git a/pytket/pytket/qasm/includes/hqslib1_dev.inc b/pytket/pytket/qasm/includes/hqslib1_dev.inc
index 7965b39048..ec4617b63e 100644
--- a/pytket/pytket/qasm/includes/hqslib1_dev.inc
+++ b/pytket/pytket/qasm/includes/hqslib1_dev.inc
@@ -186,6 +186,10 @@ gate cu3(theta, phi, lam) c, t
 }
 // controlled-sqrt(X)
 gate csx a,b { h b; cu1(pi/2) a,b; h b; }
+// controlled-S
+gate cs a,b {cu1(pi/2) a,b;}
+// controlled-conjugate S
+gate csdg a,b {cu1(-pi/2) a,b;}
 // controlled-U gate
 gate cu(theta,phi,lam,gamma) c, t
 { p(gamma) c;
diff --git a/pytket/pytket/qasm/includes/qelib1.inc b/pytket/pytket/qasm/includes/qelib1.inc
index 53e7bbef82..22a022186f 100644
--- a/pytket/pytket/qasm/includes/qelib1.inc
+++ b/pytket/pytket/qasm/includes/qelib1.inc
@@ -170,6 +170,10 @@ gate csx a, b {
   cu1(pi / 2) a, b;
   h b;
 }
+// controlled-S
+gate cs a,b {cu1(pi/2) a,b;}
+// controlled-conjugate S
+gate csdg a,b {cu1(-pi/2) a,b;}
 // controlled-U gate
 gate cu(theta, phi, lamb, gamma) c, t {
   p(gamma) c;
diff --git a/pytket/pytket/qasm/qasm.py b/pytket/pytket/qasm/qasm.py
index 8496b6e076..7f1f0df2da 100644
--- a/pytket/pytket/qasm/qasm.py
+++ b/pytket/pytket/qasm/qasm.py
@@ -132,6 +132,8 @@ class QASMUnsupportedError(Exception):
     "cy": OpType.CY,
     "ch": OpType.CH,
     "csx": OpType.CSX,
+    "cs": OpType.CS,
+    "csdg": OpType.CSdg,
     "ccx": OpType.CCX,
     "c3x": OpType.CnX,
     "c4x": OpType.CnX,
diff --git a/pytket/tests/circuit_test.py b/pytket/tests/circuit_test.py
index 68b1674b67..f28970d688 100644
--- a/pytket/tests/circuit_test.py
+++ b/pytket/tests/circuit_test.py
@@ -203,13 +203,15 @@ def test_circuit_gen() -> None:
     c.FSim(0.2, 0.4, 0, 1)
     c.Sycamore(1, 2)
     c.ISWAPMax(2, 3)
+    c.CS(0, 2)
+    c.CSdg(1, 2)
 
     assert c.n_qubits == 4
-    assert c._n_vertices() == 45
-    assert c.n_gates == 29
+    assert c._n_vertices() == 47
+    assert c.n_gates == 31
 
     commands = c.get_commands()
-    assert len(commands) == 29
+    assert len(commands) == 31
     assert str(commands[0]) == "X q[0];"
     assert str(commands[2]) == "CX q[2], q[0];"
     assert str(commands[4]) == "CRz(0.5) q[0], q[3];"
@@ -237,6 +239,8 @@ def test_circuit_gen() -> None:
     assert str(commands[26]) == "FSim(0.2, 0.4) q[0], q[1];"
     assert str(commands[27]) == "Sycamore q[1], q[2];"
     assert str(commands[28]) == "ISWAPMax q[2], q[3];"
+    assert str(commands[29]) == "CS q[0], q[2];"
+    assert str(commands[30]) == "CSdg q[1], q[2];"
 
     assert commands[14].qubits == [Qubit(3)]
     assert commands[14].bits == [Bit(3)]
@@ -784,6 +788,12 @@ def test_str() -> None:
     c = Circuit(2).CSXdg(0, 1)
     op = c.get_commands()[0].op
     assert op.__str__() == "CSXdg"
+    c = Circuit(2).CS(0, 1)
+    op = c.get_commands()[0].op
+    assert op.__str__() == "CS"
+    c = Circuit(2).CSdg(0, 1)
+    op = c.get_commands()[0].op
+    assert op.__str__() == "CSdg"
     c = Circuit(1).SX(0)
     op = c.get_commands()[0].op
     assert op.__str__() == "SX"
@@ -1053,6 +1063,11 @@ def test_op_dagger_transpose() -> None:
     sxdg = Op.create(OpType.SXdg)
     assert sx.dagger == sxdg
     assert sx.transpose == sx
+    cs = Op.create(OpType.CS)
+    csdg = Op.create(OpType.CSdg)
+    assert cs.dagger == csdg
+    assert cs.transpose == cs
+    assert csdg.transpose == csdg
 
 
 def test_clifford_checking() -> None:
diff --git a/pytket/tests/utils_test.py b/pytket/tests/utils_test.py
index 2d999ed1e8..a3366f85f7 100644
--- a/pytket/tests/utils_test.py
+++ b/pytket/tests/utils_test.py
@@ -565,6 +565,8 @@ def unitary_circuits(draw: Callable[[SearchStrategy[Any]], Any]) -> Circuit:
                 OpType.CVdg,
                 OpType.CSX,
                 OpType.CSXdg,
+                OpType.CS,
+                OpType.CSdg,
                 OpType.SWAP,
                 OpType.ISWAPMax,
                 OpType.Sycamore,
diff --git a/tket/conanfile.py b/tket/conanfile.py
index 6811687523..33e83395b6 100644
--- a/tket/conanfile.py
+++ b/tket/conanfile.py
@@ -23,7 +23,7 @@
 
 class TketConan(ConanFile):
     name = "tket"
-    version = "1.2.60"
+    version = "1.2.61"
     package_type = "library"
     license = "Apache 2"
     homepage = "https://github.com/CQCL/tket"
diff --git a/tket/include/tket/Circuit/CircPool.hpp b/tket/include/tket/Circuit/CircPool.hpp
index d74abdae20..9b7840850c 100644
--- a/tket/include/tket/Circuit/CircPool.hpp
+++ b/tket/include/tket/Circuit/CircPool.hpp
@@ -181,6 +181,12 @@ const Circuit &CSX_using_CX();
 /** Equivalent to CSXdg, using CX and single-qubit gates */
 const Circuit &CSXdg_using_CX();
 
+/** Equivalent to CS, using CX and single-qubit gates */
+const Circuit &CS_using_CX();
+
+/** Equivalent to CSdg, using CX and single-qubit gates */
+const Circuit &CSdg_using_CX();
+
 /** Equivalent to CSWAP, using CX and single-qubit gates */
 const Circuit &CSWAP_using_CX();
 
diff --git a/tket/include/tket/Gate/GateUnitaryMatrixImplementations.hpp b/tket/include/tket/Gate/GateUnitaryMatrixImplementations.hpp
index 10d13c6f44..e2a10c869d 100644
--- a/tket/include/tket/Gate/GateUnitaryMatrixImplementations.hpp
+++ b/tket/include/tket/Gate/GateUnitaryMatrixImplementations.hpp
@@ -60,6 +60,8 @@ struct GateUnitaryMatrixImplementations {
   static const Eigen::Matrix2cd& SXdg();
   static const Eigen::Matrix4cd& CSX();
   static const Eigen::Matrix4cd& CSXdg();
+  static const Eigen::Matrix4cd& CS();
+  static const Eigen::Matrix4cd& CSdg();
 
   static Eigen::Matrix2cd Rx(double value);
   static Eigen::Matrix2cd Ry(double value);
diff --git a/tket/include/tket/OpType/OpType.hpp b/tket/include/tket/OpType/OpType.hpp
index 2998a685d3..833aacd31d 100644
--- a/tket/include/tket/OpType/OpType.hpp
+++ b/tket/include/tket/OpType/OpType.hpp
@@ -339,6 +339,32 @@ enum class OpType {
    */
   CSXdg,
 
+  /**
+   * Controlled \ref OpType::S
+   *
+   * \f$ \left[ \begin{array}{cccc}
+   * 1 & 0 & 0 & 0 \\
+   * 0 & 1 & 0 & 0 \\
+   * 0 & 0 & 1 & 0 \\
+   * 0 & 0 & 0 & i
+   * \end{array} \right] =
+   * \mathrm{CU1}(\frac12) \f$
+   */
+  CS,
+
+  /**
+   * Controlled \ref OpType::Sdg
+   *
+   * \f$ \left[ \begin{array}{cccc}
+   * 1 & 0 & 0 & 0 \\
+   * 0 & 1 & 0 & 0 \\
+   * 0 & 0 & 1 & 0 \\
+   * 0 & 0 & 0 & -i
+   * \end{array} \right] =
+   * \mathrm{CU1}(-\frac12) \f$
+   */
+  CSdg,
+
   /**
    * Controlled \ref OpType::Rz
    *
diff --git a/tket/src/Circuit/CircPool.cpp b/tket/src/Circuit/CircPool.cpp
index 40e78584fb..91d7a3945e 100644
--- a/tket/src/Circuit/CircPool.cpp
+++ b/tket/src/Circuit/CircPool.cpp
@@ -623,6 +623,18 @@ const Circuit &CSXdg_using_CX() {
   return *C;
 }
 
+const Circuit &CS_using_CX() {
+  static std::unique_ptr<const Circuit> C =
+      std::make_unique<Circuit>([]() { return CU1_using_CX(0.5); }());
+  return *C;
+}
+
+const Circuit &CSdg_using_CX() {
+  static std::unique_ptr<const Circuit> C =
+      std::make_unique<Circuit>([]() { return CU1_using_CX(-0.5); }());
+  return *C;
+}
+
 const Circuit &CSWAP_using_CX() {
   static std::unique_ptr<const Circuit> C = std::make_unique<Circuit>([]() {
     Circuit c(3);
diff --git a/tket/src/Circuit/CircUtils.cpp b/tket/src/Circuit/CircUtils.cpp
index 5effd076ad..07f9bb9dec 100644
--- a/tket/src/Circuit/CircUtils.cpp
+++ b/tket/src/Circuit/CircUtils.cpp
@@ -562,6 +562,10 @@ Circuit with_CX(Gate_ptr op) {
       return CircPool::CSX_using_CX();
     case OpType::CSXdg:
       return CircPool::CSXdg_using_CX();
+    case OpType::CS:
+      return CircPool::CS_using_CX();
+    case OpType::CSdg:
+      return CircPool::CSdg_using_CX();
     case OpType::CRz:
       return CircPool::CRz_using_CX(params[0]);
     case OpType::CRx:
@@ -831,6 +835,10 @@ static Eigen::Matrix2cd get_target_op_matrix(const Op_ptr &op) {
       return Gate(OpType::SX, {}, 1).get_unitary();
     case OpType::CSXdg:
       return Gate(OpType::SXdg, {}, 1).get_unitary();
+    case OpType::CS:
+      return Gate(OpType::S, {}, 1).get_unitary();
+    case OpType::CSdg:
+      return Gate(OpType::Sdg, {}, 1).get_unitary();
     case OpType::CV:
       return Gate(OpType::V, {}, 1).get_unitary();
     case OpType::CVdg:
diff --git a/tket/src/Circuit/latex_drawing.cpp b/tket/src/Circuit/latex_drawing.cpp
index 1d0dfb8c6a..2b9083e829 100644
--- a/tket/src/Circuit/latex_drawing.cpp
+++ b/tket/src/Circuit/latex_drawing.cpp
@@ -146,6 +146,14 @@ void add_latex_for_command(LatexContext& context, const Command& command) {
           gate_name << get_op_ptr(OpType::SXdg)->get_name(true);
           break;
         }
+        case OpType::CS: {
+          gate_name << get_op_ptr(OpType::S)->get_name(true);
+          break;
+        }
+        case OpType::CSdg: {
+          gate_name << get_op_ptr(OpType::Sdg)->get_name(true);
+          break;
+        }
         default: {
         }
       }
diff --git a/tket/src/Gate/Gate.cpp b/tket/src/Gate/Gate.cpp
index bbf722884d..af81603356 100644
--- a/tket/src/Gate/Gate.cpp
+++ b/tket/src/Gate/Gate.cpp
@@ -93,6 +93,12 @@ Op_ptr Gate::dagger() const {
     case OpType::CSXdg: {
       return get_op_ptr(OpType::CSX);
     }
+    case OpType::CS: {
+      return get_op_ptr(OpType::CSdg);
+    }
+    case OpType::CSdg: {
+      return get_op_ptr(OpType::CS);
+    }
     case OpType::Phase:
     case OpType::CRz:
     case OpType::CRx:
@@ -185,6 +191,8 @@ Op_ptr Gate::transpose() const {
     case OpType::CVdg:
     case OpType::CSX:
     case OpType::CSXdg:
+    case OpType::CS:
+    case OpType::CSdg:
     case OpType::CCX:
     case OpType::noop:
     case OpType::CSWAP:
@@ -503,6 +511,8 @@ bool Gate::has_symmetry(unsigned port1, unsigned port2) const {
     case OpType::FSim:
     case OpType::Sycamore:
     case OpType::TK2:
+    case OpType::CS:
+    case OpType::CSdg:
     case OpType::CU1: {
       // symmetric
       return true;
@@ -814,6 +824,8 @@ std::optional<Pauli> Gate::commuting_basis(unsigned i) const {
     }
     case OpType::CZ:
     case OpType::CRz:
+    case OpType::CS:
+    case OpType::CSdg:
     case OpType::CU1:
     case OpType::PhaseGadget:
     case OpType::ZZMax:
diff --git a/tket/src/Gate/GateUnitaryMatrix.cpp b/tket/src/Gate/GateUnitaryMatrix.cpp
index de7b0c6ae1..a5a9ad0bc9 100644
--- a/tket/src/Gate/GateUnitaryMatrix.cpp
+++ b/tket/src/Gate/GateUnitaryMatrix.cpp
@@ -110,6 +110,8 @@ static Eigen::MatrixXcd get_unitary_or_throw(
     CASE_RETURN_0P(CVdg)
     CASE_RETURN_0P(CSX)
     CASE_RETURN_0P(CSXdg)
+    CASE_RETURN_0P(CS)
+    CASE_RETURN_0P(CSdg)
     CASE_RETURN_0P(SWAP)
     CASE_RETURN_0P(ZZMax)
     CASE_RETURN_0P(Sycamore)
diff --git a/tket/src/Gate/GateUnitaryMatrixFixedMatrices.cpp b/tket/src/Gate/GateUnitaryMatrixFixedMatrices.cpp
index 327206709b..eaf4f032e0 100644
--- a/tket/src/Gate/GateUnitaryMatrixFixedMatrices.cpp
+++ b/tket/src/Gate/GateUnitaryMatrixFixedMatrices.cpp
@@ -36,6 +36,8 @@ struct FixedData {
   Eigen::Matrix2cd SXdg;
   Eigen::Matrix4cd CSX;
   Eigen::Matrix4cd CSXdg;
+  Eigen::Matrix4cd CS;
+  Eigen::Matrix4cd CSdg;
   Eigen::Matrix4cd CX;
   Eigen::Matrix4cd CY;
   Eigen::Matrix4cd CZ;
@@ -106,6 +108,8 @@ struct FixedData {
     CVdg = GateUnitaryMatrixUtils::get_controlled_gate_unitary(Vdg);
     CSX = GateUnitaryMatrixUtils::get_controlled_gate_unitary(SX);
     CSXdg = GateUnitaryMatrixUtils::get_controlled_gate_unitary(SXdg);
+    CS = GateUnitaryMatrixUtils::get_controlled_gate_unitary(S);
+    CSdg = GateUnitaryMatrixUtils::get_controlled_gate_unitary(Sdg);
 
     // Accuracy notes: std::sqrt is guaranteed by IEEE 754
     // but std::sin, std::cos are not (although C++ is not guaranteed
@@ -170,6 +174,8 @@ GATE_FUNCTION_2Q(CV)
 GATE_FUNCTION_2Q(CVdg)
 GATE_FUNCTION_2Q(CSX)
 GATE_FUNCTION_2Q(CSXdg)
+GATE_FUNCTION_2Q(CS)
+GATE_FUNCTION_2Q(CSdg)
 GATE_FUNCTION_2Q(ZZMax)
 GATE_FUNCTION_2Q(Sycamore)
 GATE_FUNCTION_2Q(ISWAPMax)
diff --git a/tket/src/OpType/OpTypeFunctions.cpp b/tket/src/OpType/OpTypeFunctions.cpp
index 7c20aafcf8..698b3768f8 100644
--- a/tket/src/OpType/OpTypeFunctions.cpp
+++ b/tket/src/OpType/OpTypeFunctions.cpp
@@ -26,22 +26,22 @@ bool find_in_set(const OpType& val, const OpTypeSet& set) {
 
 const OpTypeSet& all_gate_types() {
   static const OpTypeSet optypes{
-      OpType::Z,           OpType::X,        OpType::Y,        OpType::S,
-      OpType::Sdg,         OpType::T,        OpType::Tdg,      OpType::V,
-      OpType::Vdg,         OpType::SX,       OpType::SXdg,     OpType::H,
-      OpType::Rx,          OpType::Ry,       OpType::Rz,       OpType::U3,
-      OpType::U2,          OpType::U1,       OpType::TK1,      OpType::CX,
-      OpType::CY,          OpType::CZ,       OpType::CH,       OpType::CV,
-      OpType::CVdg,        OpType::CSX,      OpType::CSXdg,    OpType::CRz,
-      OpType::CRx,         OpType::CRy,      OpType::CU1,      OpType::CU3,
-      OpType::PhaseGadget, OpType::CCX,      OpType::SWAP,     OpType::CSWAP,
-      OpType::noop,        OpType::Measure,  OpType::Reset,    OpType::ECR,
-      OpType::ISWAP,       OpType::PhasedX,  OpType::ZZMax,    OpType::XXPhase,
-      OpType::YYPhase,     OpType::ZZPhase,  OpType::CnRy,     OpType::CnX,
-      OpType::CnZ,         OpType::CnY,      OpType::BRIDGE,   OpType::Collapse,
-      OpType::ESWAP,       OpType::FSim,     OpType::Sycamore, OpType::ISWAPMax,
-      OpType::PhasedISWAP, OpType::XXPhase3, OpType::NPhasedX, OpType::TK2,
-      OpType::Phase};
+      OpType::Z,        OpType::X,        OpType::Y,           OpType::S,
+      OpType::Sdg,      OpType::T,        OpType::Tdg,         OpType::V,
+      OpType::Vdg,      OpType::SX,       OpType::SXdg,        OpType::H,
+      OpType::Rx,       OpType::Ry,       OpType::Rz,          OpType::U3,
+      OpType::U2,       OpType::U1,       OpType::TK1,         OpType::CX,
+      OpType::CY,       OpType::CZ,       OpType::CH,          OpType::CV,
+      OpType::CVdg,     OpType::CSX,      OpType::CSXdg,       OpType::CS,
+      OpType::CSdg,     OpType::CRz,      OpType::CRx,         OpType::CRy,
+      OpType::CU1,      OpType::CU3,      OpType::PhaseGadget, OpType::CCX,
+      OpType::SWAP,     OpType::CSWAP,    OpType::noop,        OpType::Measure,
+      OpType::Reset,    OpType::ECR,      OpType::ISWAP,       OpType::PhasedX,
+      OpType::ZZMax,    OpType::XXPhase,  OpType::YYPhase,     OpType::ZZPhase,
+      OpType::CnRy,     OpType::CnX,      OpType::CnZ,         OpType::CnY,
+      OpType::BRIDGE,   OpType::Collapse, OpType::ESWAP,       OpType::FSim,
+      OpType::Sycamore, OpType::ISWAPMax, OpType::PhasedISWAP, OpType::XXPhase3,
+      OpType::NPhasedX, OpType::TK2,      OpType::Phase};
   static std::unique_ptr<const OpTypeSet> gates =
       std::make_unique<const OpTypeSet>(optypes);
   return *gates;
@@ -49,18 +49,19 @@ const OpTypeSet& all_gate_types() {
 
 const OpTypeSet& all_multi_qubit_types() {
   static const OpTypeSet optypes{
-      OpType::CX,       OpType::CY,          OpType::CZ,
-      OpType::CH,       OpType::CV,          OpType::CVdg,
-      OpType::CSX,      OpType::CSXdg,       OpType::CRz,
-      OpType::CRx,      OpType::CRy,         OpType::CU1,
-      OpType::CU3,      OpType::PhaseGadget, OpType::CCX,
-      OpType::SWAP,     OpType::CSWAP,       OpType::ECR,
-      OpType::ISWAP,    OpType::ZZMax,       OpType::XXPhase,
-      OpType::YYPhase,  OpType::ZZPhase,     OpType::CnRy,
-      OpType::CnX,      OpType::CnZ,         OpType::CnY,
-      OpType::BRIDGE,   OpType::ESWAP,       OpType::FSim,
-      OpType::Sycamore, OpType::ISWAPMax,    OpType::PhasedISWAP,
-      OpType::XXPhase3, OpType::NPhasedX,    OpType::TK2};
+      OpType::CX,          OpType::CY,          OpType::CZ,
+      OpType::CH,          OpType::CV,          OpType::CVdg,
+      OpType::CSX,         OpType::CSXdg,       OpType::CS,
+      OpType::CSdg,        OpType::CRz,         OpType::CRx,
+      OpType::CRy,         OpType::CU1,         OpType::CU3,
+      OpType::PhaseGadget, OpType::CCX,         OpType::SWAP,
+      OpType::CSWAP,       OpType::ECR,         OpType::ISWAP,
+      OpType::ZZMax,       OpType::XXPhase,     OpType::YYPhase,
+      OpType::ZZPhase,     OpType::CnRy,        OpType::CnX,
+      OpType::CnZ,         OpType::CnY,         OpType::BRIDGE,
+      OpType::ESWAP,       OpType::FSim,        OpType::Sycamore,
+      OpType::ISWAPMax,    OpType::PhasedISWAP, OpType::XXPhase3,
+      OpType::NPhasedX,    OpType::TK2};
   static std::unique_ptr<const OpTypeSet> gates =
       std::make_unique<const OpTypeSet>(optypes);
   return *gates;
@@ -115,10 +116,10 @@ const OpTypeSet& all_projective_types() {
 
 const OpTypeSet& all_controlled_gate_types() {
   static const OpTypeSet optypes{
-      OpType::CX,   OpType::CCX,   OpType::CnX, OpType::CnZ,  OpType::CnY,
-      OpType::CSX,  OpType::CSXdg, OpType::CV,  OpType::CVdg, OpType::CRx,
-      OpType::CnRy, OpType::CRy,   OpType::CY,  OpType::CRz,  OpType::CZ,
-      OpType::CH,   OpType::CU1,   OpType::CU3};
+      OpType::CX,   OpType::CCX,   OpType::CnX,  OpType::CnZ,  OpType::CnY,
+      OpType::CSX,  OpType::CSXdg, OpType::CS,   OpType::CSdg, OpType::CV,
+      OpType::CVdg, OpType::CRx,   OpType::CnRy, OpType::CRy,  OpType::CY,
+      OpType::CRz,  OpType::CZ,    OpType::CH,   OpType::CU1,  OpType::CU3};
   static std::unique_ptr<const OpTypeSet> gates =
       std::make_unique<const OpTypeSet>(optypes);
   return *gates;
diff --git a/tket/src/OpType/OpTypeInfo.cpp b/tket/src/OpType/OpTypeInfo.cpp
index 18bc15a53d..5227e22937 100644
--- a/tket/src/OpType/OpTypeInfo.cpp
+++ b/tket/src/OpType/OpTypeInfo.cpp
@@ -57,6 +57,8 @@ const std::map<OpType, OpTypeInfo>& optypeinfo() {
       {OpType::CVdg, {"CVdg", "$CV^\\dagger$", {}, doubleq}},
       {OpType::CSX, {"CSX", "CSX", {}, doubleq}},
       {OpType::CSXdg, {"CSXdg", "$CSX^\\dagger$", {}, doubleq}},
+      {OpType::CS, {"CS", "CS", {}, doubleq}},
+      {OpType::CSdg, {"CSdg", "$CS^\\dagger$", {}, doubleq}},
       {OpType::CRz, {"CRz", "CRz", {4}, doubleq}},
       {OpType::CRx, {"CRx", "CRx", {4}, doubleq}},
       {OpType::CRy, {"CRy", "CRy", {4}, doubleq}},
diff --git a/tket/src/Transformations/Replacement.cpp b/tket/src/Transformations/Replacement.cpp
index 12a3af4139..9ac41a2ec5 100644
--- a/tket/src/Transformations/Replacement.cpp
+++ b/tket/src/Transformations/Replacement.cpp
@@ -269,6 +269,8 @@ Circuit CX_ZX_circ_from_op(const Op_ptr op) {
     case OpType::CVdg:
     case OpType::CSX:
     case OpType::CSXdg:
+    case OpType::CS:
+    case OpType::CSdg:
     case OpType::CRz:
     case OpType::CRx:
     case OpType::CRy:
diff --git a/tket/test/src/Circuit/test_Circ.cpp b/tket/test/src/Circuit/test_Circ.cpp
index cee9290fad..98ff1ccf10 100644
--- a/tket/test/src/Circuit/test_Circ.cpp
+++ b/tket/test/src/Circuit/test_Circ.cpp
@@ -1984,6 +1984,43 @@ SCENARIO("Decomposing a multi-qubit operation into CXs") {
     REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
   }
 
+  GIVEN("A CS gate") {
+    Circuit circ(2);
+    Vertex v = circ.add_op<unsigned>(OpType::CS, {0, 1});
+    const Op_ptr op = circ.get_Op_ptr_from_Vertex(v);
+    Circuit rep;
+    WHEN("Default circuit replacement") { rep = CX_circ_from_multiq(op); }
+    WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
+
+    const auto u = tket_sim::get_unitary(rep);
+    Eigen::MatrixXcd correct(4, 4);
+    // clang-format off
+        correct << 1, 0, 0, 0,
+            0, 1, 0, 0,
+            0, 0, 1, 0,
+            0, 0, 0, i_;
+    // clang-format on
+    REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
+  }
+  GIVEN("A CSdg gate") {
+    Circuit circ(2);
+    Vertex v = circ.add_op<unsigned>(OpType::CSdg, {0, 1});
+    const Op_ptr op = circ.get_Op_ptr_from_Vertex(v);
+    Circuit rep;
+    WHEN("Default circuit replacement") { rep = CX_circ_from_multiq(op); }
+    WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
+
+    const auto u = tket_sim::get_unitary(rep);
+    Eigen::MatrixXcd correct(4, 4);
+    // clang-format off
+        correct << 1, 0, 0, 0,
+            0, 1, 0, 0,
+            0, 0, 1, 0,
+            0, 0, 0, -i_;
+    // clang-format on
+    REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
+  }
+
   GIVEN("A CU1 gate") {
     Circuit circ(2);
     Vertex v = circ.add_op<unsigned>(OpType::CU1, 0.5, {0, 1});
diff --git a/tket/test/src/Gate/GatesData.cpp b/tket/test/src/Gate/GatesData.cpp
index a66b58e805..cd56aac20a 100644
--- a/tket/test/src/Gate/GatesData.cpp
+++ b/tket/test/src/Gate/GatesData.cpp
@@ -39,10 +39,10 @@ static GatesData get_data() {
       OpType::TK1,
   };
   data.input_data[2][0] = {
-      OpType::CX,   OpType::CY,    OpType::CZ,       OpType::CH,
-      OpType::CV,   OpType::CVdg,  OpType::CSX,      OpType::CSXdg,
-      OpType::SWAP, OpType::ZZMax, OpType::Sycamore, OpType::ISWAPMax,
-      OpType::ECR,
+      OpType::CX,       OpType::CY,       OpType::CZ,   OpType::CH,
+      OpType::CV,       OpType::CVdg,     OpType::CSX,  OpType::CSXdg,
+      OpType::CS,       OpType::CSdg,     OpType::SWAP, OpType::ZZMax,
+      OpType::Sycamore, OpType::ISWAPMax, OpType::ECR,
   };
   data.input_data[2][1] = {
       OpType::CRx,         OpType::CRy,     OpType::CRz,
diff --git a/tket/test/src/Passes/test_SynthesiseTK.cpp b/tket/test/src/Passes/test_SynthesiseTK.cpp
index 9a62d0de82..821620d515 100644
--- a/tket/test/src/Passes/test_SynthesiseTK.cpp
+++ b/tket/test/src/Passes/test_SynthesiseTK.cpp
@@ -80,7 +80,9 @@ SCENARIO("SynthesiseTK correctness") {
     c.add_op<unsigned>(OpType::noop, {1});
     c.add_op<unsigned>(OpType::ZZMax, {0, 1});
     c.add_op<unsigned>(OpType::Sycamore, {1, 0});
+    c.add_op<unsigned>(OpType::CSdg, {1, 0});
     c.add_op<unsigned>(OpType::ISWAPMax, {0, 1});
+    c.add_op<unsigned>(OpType::CS, {0, 1});
     check_synthesise_tk(c);
   }
   GIVEN("A circuit with (>2)-qubit gates") {
diff --git a/tket/test/src/Simulation/test_CircuitSimulator.cpp b/tket/test/src/Simulation/test_CircuitSimulator.cpp
index 3fc2ef4108..72a91198bf 100644
--- a/tket/test/src/Simulation/test_CircuitSimulator.cpp
+++ b/tket/test/src/Simulation/test_CircuitSimulator.cpp
@@ -463,6 +463,22 @@ SCENARIO("Unitaries for controlled operations") {
     V(3, 3) = 0.5 * (1. - i_);
     REQUIRE(U.isApprox(V));
   }
+  GIVEN("CS") {
+    Circuit circ(2);
+    circ.add_op<unsigned>(OpType::CS, {0, 1});
+    const Eigen::MatrixXcd U = tket_sim::get_unitary(circ);
+    Eigen::MatrixXcd V = Eigen::MatrixXcd::Identity(4, 4);
+    V(3, 3) = i_;
+    REQUIRE(U.isApprox(V));
+  }
+  GIVEN("CSdg") {
+    Circuit circ(2);
+    circ.add_op<unsigned>(OpType::CSdg, {0, 1});
+    const Eigen::MatrixXcd U = tket_sim::get_unitary(circ);
+    Eigen::MatrixXcd V = Eigen::MatrixXcd::Identity(4, 4);
+    V(3, 3) = -i_;
+    REQUIRE(U.isApprox(V));
+  }
   GIVEN("CU1") {
     double a = 0.125;
     Circuit circ(2);
diff --git a/tket/test/src/Transformations/test_RedundancyRemoval.cpp b/tket/test/src/Transformations/test_RedundancyRemoval.cpp
index aa20157796..26f4721678 100644
--- a/tket/test/src/Transformations/test_RedundancyRemoval.cpp
+++ b/tket/test/src/Transformations/test_RedundancyRemoval.cpp
@@ -152,6 +152,12 @@ SCENARIO("Transforms::remove_redundancies removes typical redundancies") {
           "Non-cancelling CSX=CSXdg (swapped port order)",
           TestGate{OpType::CSX, {0, 1}}, TestGate{OpType::CSXdg, {1, 0}},
           false},
+      TestCase{
+          "Cancelling CSdg=CS (same port order)",
+          TestGate{OpType::CSdg, {0, 1}}, TestGate{OpType::CS, {0, 1}}, true},
+      TestCase{
+          "Cancelling CSdg=CS (swapped port order)",
+          TestGate{OpType::CSdg, {0, 1}}, TestGate{OpType::CS, {1, 0}}, true},
       TestCase{
           "Cancelling CCXs (same port order)", TestGate{OpType::CCX, {0, 1, 2}},
           TestGate{OpType::CCX, {0, 1, 2}}, true},

From 47f407c498985e2c95154bbb754f855d66b372bb Mon Sep 17 00:00:00 2001
From: Travis Thompson <102229498+trvto@users.noreply.github.com>
Date: Tue, 24 Oct 2023 16:29:48 +0200
Subject: [PATCH 05/36] Bugfix/arg ordering in classical exp box (#1092)

* Fix classical exp box arg order

* lint

* update changelog
---
 pytket/docs/changelog.rst              |  5 +++++
 pytket/pytket/circuit/add_condition.py |  2 +-
 pytket/pytket/circuit/logic_exp.py     | 20 ++++++++++++++++++
 pytket/pytket/qasm/qasm.py             |  8 +++----
 pytket/tests/qasm_test.py              | 29 ++++++++++++++++++++++++++
 5 files changed, 59 insertions(+), 5 deletions(-)

diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index 59f714cc6d..9302665149 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -10,6 +10,11 @@ Minor new features:
   width of classical registers (default 32).
 * New ``OpType.CS`` and ``OpType.CSdg``.
 
+Fixes:
+
+* When converting QASM expressions to ``ClassicalExpBox``, preserve the ordering
+  of the bits in the expression in the resulting ``cmd.args``
+
 1.21.0 (October 2023)
 ---------------------
 
diff --git a/pytket/pytket/circuit/add_condition.py b/pytket/pytket/circuit/add_condition.py
index 38702c0933..1456429bde 100644
--- a/pytket/pytket/circuit/add_condition.py
+++ b/pytket/pytket/circuit/add_condition.py
@@ -84,7 +84,7 @@ def _add_condition(
 
     assert isinstance(pred_exp, (RegLogicExp, BitRegister))
     if isinstance(pred_exp, RegLogicExp):
-        inps = pred_exp.all_inputs()
+        inps = pred_exp.all_inputs_ordered()
         reg_sizes: list[int] = []
         for reg in inps:
             assert isinstance(reg, BitRegister)
diff --git a/pytket/pytket/circuit/logic_exp.py b/pytket/pytket/circuit/logic_exp.py
index e9ae5941ac..46ac07eeb9 100644
--- a/pytket/pytket/circuit/logic_exp.py
+++ b/pytket/pytket/circuit/logic_exp.py
@@ -191,6 +191,26 @@ def all_inputs(self) -> Set[Variable]:
                     outset.add(arg)
         return outset
 
+    def all_inputs_ordered(self) -> list[Variable]:
+        """
+        :return: All variables involved in expression, in order of first appearance.
+        :rtype: list[Variable]
+        """
+        # use dict[Variable, None] instead of set[Variable] to preserve order
+        outset: dict[Variable, None] = {}
+
+        for arg in self.args:
+            if isinstance(arg, LogicExp):
+                outset.update(dict.fromkeys(arg.all_inputs_ordered()))
+                continue
+            if isinstance(self, BitLogicExp):
+                if isinstance(arg, Bit):
+                    outset[arg] = None
+            else:
+                if isinstance(arg, BitRegister):
+                    outset[arg] = None
+        return list(outset)
+
     def __eq__(self, other: object) -> bool:
         if not isinstance(other, LogicExp):
             return False
diff --git a/pytket/pytket/qasm/qasm.py b/pytket/pytket/qasm/qasm.py
index 7f1f0df2da..319c1a622c 100644
--- a/pytket/pytket/qasm/qasm.py
+++ b/pytket/pytket/qasm/qasm.py
@@ -665,14 +665,14 @@ def cop(self, tree: Sequence[Iterable[CommandDict]]) -> Iterable[CommandDict]:
     def _calc_exp_io(
         self, exp: LogicExp, out_args: List
     ) -> Tuple[List[List], Dict[str, Any]]:
-        all_inps: Set[Tuple[str, int]] = set()
-        for inp in exp.all_inputs():
+        all_inps: list[Tuple[str, int]] = []
+        for inp in exp.all_inputs_ordered():
             if isinstance(inp, Bit):
-                all_inps.add((inp.reg_name, inp.index[0]))
+                all_inps.append((inp.reg_name, inp.index[0]))
             else:
                 assert isinstance(inp, BitRegister)
                 for bit in inp:
-                    all_inps.add((bit.reg_name, bit.index[0]))
+                    all_inps.append((bit.reg_name, bit.index[0]))
         outs = (_hashable_uid(arg) for arg in out_args)
         o = []
         io = []
diff --git a/pytket/tests/qasm_test.py b/pytket/tests/qasm_test.py
index 12e0d6d1fc..1325f9748d 100644
--- a/pytket/tests/qasm_test.py
+++ b/pytket/tests/qasm_test.py
@@ -837,6 +837,34 @@ def test_max_reg_width() -> None:
     assert len(circ_out.bits) == 33
 
 
+def test_classical_expbox_arg_order() -> None:
+    qasm = """
+    OPENQASM 2.0;
+    include "hqslib1.inc";
+    
+    qreg q[1];
+    
+    creg a[4];
+    creg b[4];
+    creg c[4];
+    creg d[4];
+    
+    c = a ^ b | d;
+    """
+
+    circ = circuit_from_qasm_str(qasm)
+    args = circ.get_commands()[0].args
+    expected_symbol_order = ["a", "b", "d", "c"]
+    expected_index_order = [0, 1, 2, 3]
+    assert len(args) == 4 * 4
+    arg_index = 0
+    for symbol in expected_symbol_order:
+        for index in expected_index_order:
+            assert args[arg_index].reg_name == symbol
+            assert args[arg_index].index[0] == index
+            arg_index += 1
+
+
 if __name__ == "__main__":
     test_qasm_correct()
     test_qasm_qubit()
@@ -872,3 +900,4 @@ def test_max_reg_width() -> None:
     test_header_stops_gate_definition()
     test_tk2_definition()
     test_rxxyyzz_conversion()
+    test_classical_expbox_arg_order()

From 9b50e14ae5106501522e8aae4931610fbd2f2e9e Mon Sep 17 00:00:00 2001
From: CalMacCQ <93673602+CalMacCQ@users.noreply.github.com>
Date: Thu, 26 Oct 2023 10:39:40 +0100
Subject: [PATCH 06/36] Remove docs build warning from `pydata-sphinx-theme`
 0.14.2 and upgrade sphinx version (#1093)

* remove unused pygment

* try navigation_with_keys fix

* remove unused intersphinx extension for now

* remove sphinx version restriction

* Show sphinx version in doc footer

* use sphinx <7

* remove show_sphinx flag
---
 pytket/docs/conf.py          | 7 ++-----
 pytket/docs/requirements.txt | 2 +-
 2 files changed, 3 insertions(+), 6 deletions(-)

diff --git a/pytket/docs/conf.py b/pytket/docs/conf.py
index 6632d7b7fa..78ca420bae 100644
--- a/pytket/docs/conf.py
+++ b/pytket/docs/conf.py
@@ -55,7 +55,6 @@
 extensions = [
     "sphinx.ext.autodoc",
     "sphinx.ext.autosummary",
-    "sphinx.ext.intersphinx",
     "sphinx.ext.mathjax",
     "sphinx.ext.viewcode",
     "sphinx_copybutton",
@@ -87,10 +86,6 @@
 # This pattern also affects html_static_path and html_extra_path.
 exclude_patterns = ["_build", "Thumbs.db", ".DS_Store"]
 
-# The name of the Pygments (syntax highlighting) style to use.
-pygments_style = "borland"
-
-
 # -- Options for HTML output -------------------------------------------------
 
 # The theme to use for HTML and HTML Help pages.  See the documentation for
@@ -102,10 +97,12 @@
 # further.  For a list of options available for each theme, see the
 # documentation.
 #
+
 html_theme_options = {
     "repository_url": "https://github.com/CQCL/tket",
     "use_repository_button": True,
     "use_issues_button": True,
+    "navigation_with_keys": True,
     "logo": {
         "image_light": "_static/Quantinuum_logo_black.png",
         "image_dark": "_static/Quantinuum_logo_white.png",
diff --git a/pytket/docs/requirements.txt b/pytket/docs/requirements.txt
index 23775efc09..f2462fe93f 100644
--- a/pytket/docs/requirements.txt
+++ b/pytket/docs/requirements.txt
@@ -1,4 +1,4 @@
-sphinx >= 4.5, < 6.2.0
+sphinx >= 4.5, <7
 sphinx_autodoc_annotation >= 1.0
 sphinx_book_theme ~= 1.0.1
 sphinx-copybutton

From 631a688f3f593cabc935ecb987ba7dd003cb204e Mon Sep 17 00:00:00 2001
From: yao-cqc <75305462+yao-cqc@users.noreply.github.com>
Date: Thu, 26 Oct 2023 13:02:47 +0100
Subject: [PATCH 07/36] Migrate from deprecated json schema methods (#1098)

* Migrate from deprecated json schema methods

* Fix mypy issues
---
 pytket/tests/architecture_test.py         | 21 +++++++++---------
 pytket/tests/passes_serialisation_test.py | 27 +++++++++++------------
 schemas/compiler_pass_v1.json             |  2 +-
 3 files changed, 25 insertions(+), 25 deletions(-)

diff --git a/pytket/tests/architecture_test.py b/pytket/tests/architecture_test.py
index 66e413e7a8..a5c0c3972b 100644
--- a/pytket/tests/architecture_test.py
+++ b/pytket/tests/architecture_test.py
@@ -13,7 +13,9 @@
 # limitations under the License.
 
 import json
-from jsonschema import RefResolver, Draft7Validator  # type: ignore
+from referencing import Registry
+from referencing.jsonschema import DRAFT7
+from jsonschema import Draft7Validator  # type: ignore
 from pathlib import Path
 from pytket.circuit import Node
 from pytket.architecture import Architecture, SquareGrid, FullyConnected, RingArch
@@ -27,15 +29,14 @@
 with open(schema_dir / "fullyconnected_v1.json", "r") as f:
     fc_schema = json.load(f)
 
-schema_store = {
-    circ_schema["$id"]: circ_schema,
-    arch_schema["$id"]: arch_schema,
-    fc_schema["$id"]: fc_schema,
-}
-arch_validator_resolver = RefResolver.from_schema(arch_schema, store=schema_store)
-arch_validator = Draft7Validator(arch_schema, resolver=arch_validator_resolver)
-fc_validator_resolver = RefResolver.from_schema(fc_schema, store=schema_store)
-fc_validator = Draft7Validator(fc_schema, resolver=fc_validator_resolver)
+schema_store = [
+    (circ_schema["$id"], DRAFT7.create_resource(circ_schema)),
+    (arch_schema["$id"], DRAFT7.create_resource(arch_schema)),
+    (fc_schema["$id"], DRAFT7.create_resource(fc_schema)),
+]
+registry: Registry = Registry().with_resources(schema_store)
+arch_validator = Draft7Validator(arch_schema, registry=registry)
+fc_validator = Draft7Validator(fc_schema, registry=registry)
 
 
 def check_arch_serialisation(arch: Architecture) -> None:
diff --git a/pytket/tests/passes_serialisation_test.py b/pytket/tests/passes_serialisation_test.py
index 51011adda3..9c29262d1c 100644
--- a/pytket/tests/passes_serialisation_test.py
+++ b/pytket/tests/passes_serialisation_test.py
@@ -14,7 +14,9 @@
 
 import json
 import pytest
-from jsonschema import RefResolver, Draft7Validator, ValidationError  # type: ignore
+from referencing import Registry
+from referencing.jsonschema import DRAFT7
+from jsonschema import Draft7Validator, ValidationError  # type: ignore
 from pathlib import Path
 from typing import Any, Dict, List
 
@@ -408,19 +410,16 @@ def nonparam_predicate_dict(name: str) -> Dict[str, Any]:
 with open(schema_dir / "predicate_v1.json", "r") as f:
     pred_schema = json.load(f)
 
-schema_store = {
-    pass_schema["$id"]: pass_schema,
-    circ_schema["$id"]: circ_schema,
-    arch_schema["$id"]: arch_schema,
-    plact_schema["$id"]: plact_schema,
-    pred_schema["$id"]: pred_schema,
-}
-pass_validator_resolver = RefResolver.from_schema(pass_schema, store=schema_store)
-pass_validator = Draft7Validator(pass_schema, resolver=pass_validator_resolver)
-predicate_validator_resolver = RefResolver.from_schema(pred_schema, store=schema_store)
-predicate_validator = Draft7Validator(
-    pred_schema, resolver=predicate_validator_resolver
-)
+schema_store = [
+    (pass_schema["$id"], DRAFT7.create_resource(pass_schema)),
+    (circ_schema["$id"], DRAFT7.create_resource(circ_schema)),
+    (arch_schema["$id"], DRAFT7.create_resource(arch_schema)),
+    (plact_schema["$id"], DRAFT7.create_resource(plact_schema)),
+    (pred_schema["$id"], DRAFT7.create_resource(pred_schema)),
+]
+registry: Registry = Registry().with_resources(schema_store)
+pass_validator = Draft7Validator(pass_schema, registry=registry)
+predicate_validator = Draft7Validator(pred_schema, registry=registry)
 
 
 def check_pass_serialisation(
diff --git a/schemas/compiler_pass_v1.json b/schemas/compiler_pass_v1.json
index ae73b48e98..b7511d54d2 100644
--- a/schemas/compiler_pass_v1.json
+++ b/schemas/compiler_pass_v1.json
@@ -296,7 +296,7 @@
           "description": "Minimal number of CX gates in each phase in \"ComposePhasePolyBoxes\"."
         },
         "routing_config": {
-          "$ref": "#definitions/routing_config"
+          "$ref": "#/definitions/routing_config"
         },
         "fidelities": {
           "type": "object",

From 054a624c4aa5aeebc63ece1e50881449f38f6bdd Mon Sep 17 00:00:00 2001
From: yao-cqc <75305462+yao-cqc@users.noreply.github.com>
Date: Fri, 27 Oct 2023 09:42:05 +0100
Subject: [PATCH 08/36] Bugfix/incorrect serialisation for list of pairs
 (#1099)

* Add failling test

* Fix PauliExpPairBox serialisation issue

* Update changelog

* bump tket version
---
 pytket/conanfile.py                |  2 +-
 pytket/docs/changelog.rst          |  2 ++
 pytket/tests/circuit_test.py       | 11 +++++++++++
 tket/conanfile.py                  |  2 +-
 tket/src/Circuit/PauliExpBoxes.cpp |  7 ++++++-
 5 files changed, 21 insertions(+), 3 deletions(-)

diff --git a/pytket/conanfile.py b/pytket/conanfile.py
index cd0a84ddc8..62a6ab520b 100644
--- a/pytket/conanfile.py
+++ b/pytket/conanfile.py
@@ -32,7 +32,7 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tket/1.2.61@tket/stable")
+        self.requires("tket/1.2.62@tket/stable")
         self.requires("tklog/0.3.3@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("tkassert/0.3.3@tket/stable")
diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index 9302665149..97187302c3 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -14,6 +14,8 @@ Fixes:
 
 * When converting QASM expressions to ``ClassicalExpBox``, preserve the ordering
   of the bits in the expression in the resulting ``cmd.args``
+* Fix incorrect serialisation of ``PauliExpPairBox`` when the Pauli strings are of
+  length 2.
 
 1.21.0 (October 2023)
 ---------------------
diff --git a/pytket/tests/circuit_test.py b/pytket/tests/circuit_test.py
index f28970d688..9b0804c78f 100644
--- a/pytket/tests/circuit_test.py
+++ b/pytket/tests/circuit_test.py
@@ -48,6 +48,7 @@
     Bit,
     BitRegister,
     QubitRegister,
+    CXConfigType,
 )
 from pytket.circuit.display import get_circuit_renderer, render_circuit_as_html
 from pytket.circuit.named_types import (
@@ -674,6 +675,15 @@ def test_boxes() -> None:
             command.op.get_unitary()
 
 
+def test_pauliexp_pair_box_serialisation() -> None:
+    # https://github.com/CQCL/tket/issues/1084
+    p = PauliExpPairBox(
+        [Pauli.Z, Pauli.X], 0.5, [Pauli.X, Pauli.Z], 0.2, CXConfigType.MultiQGate
+    )
+    c = Circuit(2).add_pauliexppairbox(p, [0, 1])
+    assert json_validate(c)
+
+
 def test_tofollibox_strats() -> None:
     permutation = [
         ([_0, _0, _0, _0], [_1, _1, _1, _1]),
@@ -1261,3 +1271,4 @@ def test_phase_order() -> None:
     test_measuring_registers()
     test_multi_controlled_gates()
     test_counting_n_qubit_gates()
+    test_pauliexp_pair_box_serialisation()
diff --git a/tket/conanfile.py b/tket/conanfile.py
index 33e83395b6..dfad9fefba 100644
--- a/tket/conanfile.py
+++ b/tket/conanfile.py
@@ -23,7 +23,7 @@
 
 class TketConan(ConanFile):
     name = "tket"
-    version = "1.2.61"
+    version = "1.2.62"
     package_type = "library"
     license = "Apache 2"
     homepage = "https://github.com/CQCL/tket"
diff --git a/tket/src/Circuit/PauliExpBoxes.cpp b/tket/src/Circuit/PauliExpBoxes.cpp
index 85f1992847..22f9734048 100644
--- a/tket/src/Circuit/PauliExpBoxes.cpp
+++ b/tket/src/Circuit/PauliExpBoxes.cpp
@@ -190,7 +190,12 @@ bool PauliExpPairBox::is_equal(const Op &op_other) const {
 nlohmann::json PauliExpPairBox::to_json(const Op_ptr &op) {
   const auto &box = static_cast<const PauliExpPairBox &>(*op);
   nlohmann::json j = core_box_json(box);
-  j["paulis_pair"] = box.get_paulis_pair();
+  auto paulis_pair = box.get_paulis_pair();
+  // use vector to avoid serialising into a dictionary if the Pauli strings are
+  // of length 2
+  std::vector<std::vector<Pauli>> paulis_vec{
+      paulis_pair.first, paulis_pair.second};
+  j["paulis_pair"] = paulis_vec;
   j["phase_pair"] = box.get_phase_pair();
   j["cx_config"] = box.get_cx_config();
   return j;

From 0fc99a5ac6212741edf9a7118e6049a15a355c93 Mon Sep 17 00:00:00 2001
From: yao-cqc <75305462+yao-cqc@users.noreply.github.com>
Date: Fri, 27 Oct 2023 13:27:58 +0100
Subject: [PATCH 09/36] Better handling for invalid QASM register names (#1100)

* Better handling for invalid QASM register names

* Wrap long lines

* wrap long lines

* Fix type error
---
 pytket/pytket/qasm/qasm.py | 24 +++++++++++++++++++++++-
 pytket/tests/qasm_test.py  | 24 ++++++++++++++++++++++++
 2 files changed, 47 insertions(+), 1 deletion(-)

diff --git a/pytket/pytket/qasm/qasm.py b/pytket/pytket/qasm/qasm.py
index 319c1a622c..7d1fa68da1 100644
--- a/pytket/pytket/qasm/qasm.py
+++ b/pytket/pytket/qasm/qasm.py
@@ -223,11 +223,19 @@ class QASMUnsupportedError(Exception):
 }
 
 unit_regex = re.compile(r"([a-z][a-zA-Z0-9_]*)\[([\d]+)\]")
+regname_regex = re.compile(r"^[a-z][a-zA-Z0-9_]*$")
 
 
 def _extract_reg(var: Token) -> Tuple[str, int]:
     match = unit_regex.match(var.value)
-    assert match is not None
+    if match is None:
+        raise QASMParseError(
+            f"Invalid register definition '{var.value}'. Register definitions "
+            "must follow the pattern '<name> [<size in integer>]'. "
+            "For example, 'q [5]'. QASM register names must begin with a "
+            "lowercase letter and may only contain lowercase and uppercase "
+            "letters, numbers, and underscores."
+        )
     return match.group(1), int(match.group(2))
 
 
@@ -1256,8 +1264,22 @@ def __init__(
             self.qregs = _retrieve_registers(cast(list[UnitID], qubits), QubitRegister)
             self.cregs = _retrieve_registers(cast(list[UnitID], bits), BitRegister)
             for reg in self.qregs.values():
+                if regname_regex.match(reg.name) is None:
+                    raise QASMUnsupportedError(
+                        f"Invalid register name '{reg.name}'. QASM register names must "
+                        "begin with a lowercase letter and may only contain lowercase "
+                        "and uppercase letters, numbers, and underscores. "
+                        "Try renaming the register with `rename_units` first."
+                    )
                 self.strings.add_string(f"qreg {reg.name}[{reg.size}];\n")
             for bit_reg in self.cregs.values():
+                if regname_regex.match(bit_reg.name) is None:
+                    raise QASMUnsupportedError(
+                        f"Invalid register name '{bit_reg.name}'. QASM register names "
+                        "must begin with a lowercase letter and may only contain "
+                        "lowercase and uppercase letters, numbers, and underscores. "
+                        "Try renaming the register with `rename_units` first."
+                    )
                 self.strings.add_string(f"creg {bit_reg.name}[{bit_reg.size}];\n")
         else:
             # gate definition, no header necessary for file
diff --git a/pytket/tests/qasm_test.py b/pytket/tests/qasm_test.py
index 1325f9748d..cf76e88015 100644
--- a/pytket/tests/qasm_test.py
+++ b/pytket/tests/qasm_test.py
@@ -865,6 +865,29 @@ def test_classical_expbox_arg_order() -> None:
             arg_index += 1
 
 
+def test_register_name_check() -> None:
+    # register names must have the expression [a-z][a-zA-Z0-9_]*
+    qasm = """
+    OPENQASM 2.0;
+    include "hqslib1.inc";
+    
+    qreg Q[1];
+    """
+    with pytest.raises(QASMParseError) as e:
+        circ = circuit_from_qasm_str(qasm)
+    err_msg = "Invalid register definition 'Q[1]'"
+    assert err_msg in str(e.value)
+
+    c = Circuit()
+    qb = Qubit("Q", 0)
+    c.add_qubit(qb)
+    c.H(qb)
+    with pytest.raises(QASMUnsupportedError) as e2:
+        qasm = circuit_to_qasm_str(c)
+    err_msg = "Invalid register name 'Q'"
+    assert err_msg in str(e2.value)
+
+
 if __name__ == "__main__":
     test_qasm_correct()
     test_qasm_qubit()
@@ -901,3 +924,4 @@ def test_classical_expbox_arg_order() -> None:
     test_tk2_definition()
     test_rxxyyzz_conversion()
     test_classical_expbox_arg_order()
+    test_register_name_check()

From 31d6447636b9eae6c861c74ab46d087701035316 Mon Sep 17 00:00:00 2001
From: Monit Sharma <65262068+MonitSharma@users.noreply.github.com>
Date: Mon, 30 Oct 2023 17:31:44 +0800
Subject: [PATCH 10/36] [doc] Updated Qiskit Documentation (#1094)

---
 pytket/docs/getting_started.rst | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/pytket/docs/getting_started.rst b/pytket/docs/getting_started.rst
index f3c41f13a6..cdca6ef4b2 100644
--- a/pytket/docs/getting_started.rst
+++ b/pytket/docs/getting_started.rst
@@ -100,13 +100,13 @@ The following code snippet will show how to compile a circuit to run on an IBM d
     from pytket.extensions.qiskit import IBMQBackend
 
     circ = Circuit(3).X(0).CCX(0, 1, 2)
-    belem_device = IBMQBackend('ibmq_belem')
+    nairobi_device = IBMQBackend('ibm_nairobi')
 
-    # Compile Circuit to use supported gates of IBMQ Belem
-    compiled_circ = belem_device.get_compiled_circuit(circ)
+    # Compile Circuit to use supported gates of IBMQ Nairobi
+    compiled_circ = nairobi_device.get_compiled_circuit(circ)
     result = backend.run_circuit(compiled_circ, n_shots=100)
 
 Here the default compilation pass is applied by :py:meth:`IBMQBackend.get_compiled_circuit`. See `this page <https://cqcl.github.io/pytket-qiskit/api/index.html#default-compilation>`_ for more details.
 
 As an alternative, We can experiment with constructing our own circuit compilation routines in pytket. Passes from the :py:mod:`pytket.passes` module can be applied individually or composed in sequence. 
-See the section of the user manual on `circuit compilation <https://cqcl.github.io/pytket/manual/manual_compiler.html>`_ and the corresponding `notebook example <https://github.com/CQCL/pytket/blob/main/examples/compilation_example.ipynb>`_ for more.
\ No newline at end of file
+See the section of the user manual on `circuit compilation <https://cqcl.github.io/pytket/manual/manual_compiler.html>`_ and the corresponding `notebook example <https://github.com/CQCL/pytket/blob/main/examples/compilation_example.ipynb>`_ for more.

From bacc4e75d7e1d7f230b163043137a540ad600810 Mon Sep 17 00:00:00 2001
From: Jake Arkinstall <65358059+jake-arkinstall@users.noreply.github.com>
Date: Mon, 30 Oct 2023 10:15:30 +0000
Subject: [PATCH 11/36] [infra] Bumped install-nix-action to v23 (#1087)

---
 .github/workflows/build-with-nix.yml | 8 ++++----
 README.md                            | 6 +++---
 2 files changed, 7 insertions(+), 7 deletions(-)

diff --git a/.github/workflows/build-with-nix.yml b/.github/workflows/build-with-nix.yml
index 091f2a9671..e9f8c7999a 100644
--- a/.github/workflows/build-with-nix.yml
+++ b/.github/workflows/build-with-nix.yml
@@ -11,10 +11,10 @@ jobs:
   build_and_test:
     strategy:
       matrix:
-        os: ['ubuntu-22.04', 'macos-12']
+        os: ['ubuntu-22.04', 'macos-13-xlarge']
     runs-on: ${{matrix.os}}
     steps:
-    - uses: actions/checkout@v3
-    - uses: cachix/install-nix-action@v20
+    - uses: actions/checkout@v4
+    - uses: cachix/install-nix-action@v23
     - name: Build and test tket
-      run: nix flake check
+      run: nix flake check -L
diff --git a/README.md b/README.md
index e3facaa256..1cfa828e9e 100644
--- a/README.md
+++ b/README.md
@@ -126,9 +126,9 @@ building and testing pytket.
 
 ### Nix Support
 
-Tket and pytket are available as a Nix flake. See the [README](nix-support/README.md)
-in the `nix-support` directory for instructions on building and testing tket and pytket
-through Nix, and on how to use it within a Nix project.
+Tket and pytket are available as a Nix flake, with support for Linux and Apple Silicon systems.
+See the [README](nix-support/README.md) in the `nix-support` directory for instructions
+on building and testing tket and pytket through Nix, and on how to use it within a Nix project.
 
 ## API documentation
 

From cb4ce4c94b4575d1c9229d2b359547af33e87a3c Mon Sep 17 00:00:00 2001
From: CalMacCQ <93673602+CalMacCQ@users.noreply.github.com>
Date: Mon, 30 Oct 2023 13:49:36 +0000
Subject: [PATCH 12/36] remove outdated opensource attribution page (#1103)

---
 pytket/docs/index.rst      |  1 -
 pytket/docs/opensource.rst | 18 ------------------
 2 files changed, 19 deletions(-)
 delete mode 100644 pytket/docs/opensource.rst

diff --git a/pytket/docs/index.rst b/pytket/docs/index.rst
index a35195d497..2cdd6e701e 100644
--- a/pytket/docs/index.rst
+++ b/pytket/docs/index.rst
@@ -82,7 +82,6 @@ Licensed under the `Apache 2 License <http://www.apache.org/licenses/LICENSE-2.0
     changelog.rst
     install.rst
     faqs.rst 
-    opensource.rst
 
 .. toctree::
     :caption: More Documentation:
diff --git a/pytket/docs/opensource.rst b/pytket/docs/opensource.rst
deleted file mode 100644
index f243380da5..0000000000
--- a/pytket/docs/opensource.rst
+++ /dev/null
@@ -1,18 +0,0 @@
-Open Source Attribution
-====================================
-
-Symengine
----------
-
-© 2013-2017 SymEngine Development Team
-
-Licence: https://github.com/symengine/symengine/blob/master/LICENSE
-
-Package and documentation: https://github.com/symengine/symengine
-
-Eigen
------
-
-Licence: https://www.mozilla.org/en-US/MPL/2.0/
-
-Package and documentation: https://eigen.tuxfamily.org/

From 026cdb688e4fcdb26cb684cb3774cb851f6df984 Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Mon, 30 Oct 2023 14:54:00 +0000
Subject: [PATCH 13/36] [infra] Revert pinning of jsonschema. (#956)

---
 pytket/tests/requirements.txt | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/pytket/tests/requirements.txt b/pytket/tests/requirements.txt
index 1b6f5d87d0..ea80dec436 100644
--- a/pytket/tests/requirements.txt
+++ b/pytket/tests/requirements.txt
@@ -6,5 +6,5 @@ pytest-benchmark
 py
 hypothesis
 docker
-jsonschema==4.18.0
+jsonschema
 opt_einsum

From 63c2e03fcb46310755c586e776220bec60fed016 Mon Sep 17 00:00:00 2001
From: Jake Arkinstall <65358059+jake-arkinstall@users.noreply.github.com>
Date: Mon, 30 Oct 2023 15:22:44 +0000
Subject: [PATCH 14/36] Add version into setup call (#1104)

The core pytket project uses setuptools_scm to extract
version information from .git. This would be awkward in
Nix as it would involve copying the .git directory into
the pytket source.

As we already have the version extracted from another
file in the project, which is used to set the version
number on the Nix side, we can instead hardcode this
version number into setup.py when copying it to the
derivation source.

Co-authored-by: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
---
 nix-support/pytket.nix | 19 ++++++++++++-------
 1 file changed, 12 insertions(+), 7 deletions(-)

diff --git a/nix-support/pytket.nix b/nix-support/pytket.nix
index d99d90b98f..9489ea5589 100644
--- a/nix-support/pytket.nix
+++ b/nix-support/pytket.nix
@@ -6,7 +6,7 @@ let
   version = if builtins.length versions > 0 then
     builtins.elemAt versions 0
   else
-    "0.0.0";
+    builtins.trace "Warning: Unable to find version. Defaulting to 0.0.0" "0.0.0";
 
   jsonschema-4180 = super.python3Packages.jsonschema.overrideAttrs (_: rec {
     version = "4.18.0";
@@ -35,7 +35,7 @@ in {
     '';
   };
   pytket = super.python3.pkgs.buildPythonPackage {
-    name = "pytket";
+    pname = "pytket";
     inherit version;
     propagatedBuildInputs = with super.python3.pkgs; [
       self.binders
@@ -53,19 +53,24 @@ in {
 
     unpackPhase = ''
       cp -r ${../pytket/pytket} pytket;
-      cp -r ${../pytket/setup.py} setup.py;
-      cp -r ${../pytket/package.md} package.md;
+      cp ${../pytket/package.md} package.md;
       cp -r ${../schemas} schemas;
+
+      # The usual build depends on setuptools-scm to extract the version.
+      # We have already extracted the version within nix, so we can simply
+      # inject it into setup.py.
+      cat ${../pytket/setup.py} | sed 's/setup(/setup(version="${version}",/' > setup.py;
+
       mkdir test_root;
       cp -r ${../pytket/tests} test_root/tests;
+      # hardcode the version extracted from docs/conf.py.
+      chmod 755 pytket
+      echo '__version__ = "${version}"' > pytket/_version.py;
     '';
     preBuild = ''
       export USE_NIX=1;
     '';
     postFixup = ''
-      # hardcode the version extracted from docs/conf.py.
-      echo '__version__ = "${version}"' > $out/lib/python3.10/site-packages/pytket/_version.py;
-
       # these directories aren't copied by setup.py, so we do it manually
       cp -r ${
         ../pytket/pytket/circuit/display/js

From fc43ebf3adf0f7cb96a214d051034eb95822377a Mon Sep 17 00:00:00 2001
From: Will Simmons <will.simmons@cambridgequantum.com>
Date: Tue, 31 Oct 2023 13:22:06 +0000
Subject: [PATCH 15/36] Refactor PauliStrings as templates for easier interop
 (#1081)

---
 pytket/binders/circuit/boxes.cpp              |   47 +-
 pytket/binders/partition.cpp                  |    6 +-
 pytket/binders/pauli.cpp                      |  171 +--
 pytket/binders/tableau.cpp                    |   18 +-
 pytket/binders/tailoring.cpp                  |   18 +-
 pytket/conanfile.py                           |    2 +-
 pytket/pytket/_tket/pauli.pyi                 |    2 +-
 tket/CMakeLists.txt                           |    4 +-
 tket/conanfile.py                             |    2 +-
 .../Characterisation/FrameRandomisation.hpp   |    4 +-
 .../tket/Circuit/AssertionSynthesis.hpp       |    2 +-
 tket/include/tket/Circuit/Boxes.hpp           |    6 +-
 tket/include/tket/Circuit/CircUtils.hpp       |    2 +-
 tket/include/tket/Circuit/PauliExpBoxes.hpp   |   29 +-
 tket/include/tket/Clifford/ChoiMixTableau.hpp |    8 +-
 .../tket/Clifford/SymplecticTableau.hpp       |    4 +-
 tket/include/tket/Clifford/UnitaryTableau.hpp |   24 +-
 tket/include/tket/Converters/PauliGadget.hpp  |   32 +-
 .../tket/Diagonalisation/DiagUtils.hpp        |    9 +-
 .../tket/Diagonalisation/Diagonalisation.hpp  |   19 +-
 .../tket/Diagonalisation/PauliPartition.hpp   |   12 +-
 .../MeasurementSetup/MeasurementReduction.hpp |    2 +-
 .../MeasurementSetup/MeasurementSetup.hpp     |   16 +-
 tket/include/tket/Ops/Op.hpp                  |    3 +-
 .../PauliGraph/ConjugatePauliFunctions.hpp    |   10 +-
 tket/include/tket/PauliGraph/PauliGraph.hpp   |    6 +-
 tket/include/tket/Utils/PauliStrings.hpp      |  571 ---------
 tket/include/tket/Utils/PauliTensor.hpp       | 1051 +++++++++++++++++
 .../Characterisation/FrameRandomisation.cpp   |   15 +-
 tket/src/Circuit/AssertionSynthesis.cpp       |   15 +-
 tket/src/Circuit/Boxes.cpp                    |   34 +-
 tket/src/Circuit/PauliExpBoxes.cpp            |  190 ++-
 .../PauliExpBoxUnitaryCalculator.cpp          |   10 +-
 tket/src/Clifford/ChoiMixTableau.cpp          |   40 +-
 tket/src/Clifford/SymplecticTableau.cpp       |   10 +-
 tket/src/Clifford/UnitaryTableau.cpp          |   93 +-
 .../Converters/ChoiMixTableauConverters.cpp   |   46 +-
 tket/src/Converters/PauliGadget.cpp           |  173 ++-
 tket/src/Converters/PauliGraphConverters.cpp  |   60 +-
 tket/src/Diagonalisation/DiagUtils.cpp        |   12 +-
 tket/src/Diagonalisation/Diagonalisation.cpp  |   96 +-
 tket/src/Diagonalisation/PauliPartition.cpp   |   55 +-
 tket/src/Gate/Gate.cpp                        |    2 +-
 .../MeasurementSetup/MeasurementReduction.cpp |   30 +-
 .../src/MeasurementSetup/MeasurementSetup.cpp |   37 +-
 .../PauliGraph/ConjugatePauliFunctions.cpp    |   53 +-
 tket/src/PauliGraph/PauliGraph.cpp            |   76 +-
 .../src/Transformations/PauliOptimisation.cpp |   37 +-
 tket/src/Utils/PauliStrings.cpp               |  580 ---------
 tket/src/Utils/PauliTensor.cpp                |  734 ++++++++++++
 tket/test/CMakeLists.txt                      |    2 +-
 tket/test/src/Circuit/test_Boxes.cpp          |   60 +-
 tket/test/src/Circuit/test_Circ.cpp           |   30 +-
 tket/test/src/Circuit/test_PauliExpBoxes.cpp  |  183 +--
 tket/test/src/Ops/test_Ops.cpp                |    5 +-
 .../test_PauliExpBoxUnitaryCalculator.cpp     |    8 +-
 tket/test/src/test_Assertion.cpp              |   35 +-
 tket/test/src/test_ChoiMixTableau.cpp         |  173 ++-
 tket/test/src/test_Clifford.cpp               |    1 -
 tket/test/src/test_CompilerPass.cpp           |    4 +-
 tket/test/src/test_MeasurementReduction.cpp   |   50 +-
 tket/test/src/test_MeasurementSetup.cpp       |   78 +-
 tket/test/src/test_Partition.cpp              |   26 +-
 tket/test/src/test_PauliGraph.cpp             |  232 ++--
 tket/test/src/test_PauliString.cpp            |  277 -----
 tket/test/src/test_PauliTensor.cpp            |  623 ++++++++++
 tket/test/src/test_Predicates.cpp             |    2 +-
 tket/test/src/test_UnitaryTableau.cpp         |  143 ++-
 tket/test/src/test_json.cpp                   |   24 +-
 69 files changed, 3634 insertions(+), 2800 deletions(-)
 delete mode 100644 tket/include/tket/Utils/PauliStrings.hpp
 create mode 100644 tket/include/tket/Utils/PauliTensor.hpp
 delete mode 100644 tket/src/Utils/PauliStrings.cpp
 create mode 100644 tket/src/Utils/PauliTensor.cpp
 delete mode 100644 tket/test/src/test_PauliString.cpp
 create mode 100644 tket/test/src/test_PauliTensor.cpp

diff --git a/pytket/binders/circuit/boxes.cpp b/pytket/binders/circuit/boxes.cpp
index 792bf58002..9a20f64f64 100644
--- a/pytket/binders/circuit/boxes.cpp
+++ b/pytket/binders/circuit/boxes.cpp
@@ -237,9 +237,10 @@ void init_boxes(py::module &m) {
       "An operation defined as the exponential of a tensor of Pauli "
       "operations and a (possibly symbolic) phase parameter.")
       .def(
-          py::init<
-              const py::tket_custom::SequenceVec<Pauli> &, const Expr &,
-              const CXConfigType &>(),
+          py::init([](const py::tket_custom::SequenceVec<Pauli> &paulis, Expr t,
+                      CXConfigType config) {
+            return PauliExpBox(SymPauliTensor(paulis, t), config);
+          }),
           "Construct :math:`e^{-\\frac12 i \\pi t \\sigma_0 \\otimes "
           "\\sigma_1 \\otimes \\cdots}` from Pauli operators "
           ":math:`\\sigma_i \\in \\{I,X,Y,Z\\}` and a parameter "
@@ -263,10 +264,14 @@ void init_boxes(py::module &m) {
       "An operation defined as a pair of exponentials of a tensor of Pauli "
       "operations and their (possibly symbolic) phase parameters.")
       .def(
-          py::init<
-              const py::tket_custom::SequenceVec<Pauli> &, const Expr &,
-              const py::tket_custom::SequenceVec<Pauli> &, Expr,
-              CXConfigType>(),
+          py::init([](const py::tket_custom::SequenceVec<Pauli> &paulis0,
+                      Expr t0,
+                      const py::tket_custom::SequenceVec<Pauli> &paulis1,
+                      Expr t1, CXConfigType config) {
+            return PauliExpPairBox(
+                SymPauliTensor(paulis0, t0), SymPauliTensor(paulis1, t1),
+                config);
+          }),
           "Construct a pair of Pauli exponentials of the form"
           " :math:`e^{-\\frac12 i \\pi t_j \\sigma_0 \\otimes "
           "\\sigma_1 \\otimes \\cdots}` from Pauli operator strings "
@@ -297,12 +302,13 @@ void init_boxes(py::module &m) {
       .def(
           py::init([](const py::tket_custom::SequenceVec<
                           std::pair<py::tket_custom::SequenceVec<Pauli>, Expr>>
-                          &py_gadgets,
-                      const CXConfigType &cx_config) {
-            std::vector<std::pair<std::vector<Pauli>, Expr>> gadgets(
-                std::make_move_iterator(py_gadgets.begin()),
-                std::make_move_iterator(py_gadgets.end()));
-            return PauliExpCommutingSetBox(gadgets, cx_config);
+                          &pauli_gadgets,
+                      CXConfigType config) {
+            std::vector<SymPauliTensor> gadgets;
+            for (const std::pair<py::tket_custom::SequenceVec<Pauli>, Expr> &g :
+                 pauli_gadgets)
+              gadgets.push_back(SymPauliTensor(g.first, g.second));
+            return PauliExpCommutingSetBox(gadgets, config);
           }),
           "Construct a set of necessarily commuting Pauli exponentials of the "
           "form"
@@ -317,7 +323,14 @@ void init_boxes(py::module &m) {
           [](PauliExpCommutingSetBox &pbox) { return *pbox.to_circuit(); },
           ":return: the :py:class:`Circuit` described by the box")
       .def(
-          "get_paulis", &PauliExpCommutingSetBox::get_pauli_gadgets,
+          "get_paulis",
+          [](const PauliExpCommutingSetBox &pbox) {
+            // For backwards compatibility with before templated PauliTensor
+            std::vector<std::pair<DensePauliMap, Expr>> gadgets;
+            for (const SymPauliTensor &g : pbox.get_pauli_gadgets())
+              gadgets.push_back({g.string, g.coeff});
+            return gadgets;
+          },
           ":return: the corresponding list of Pauli gadgets")
       .def(
           "get_cx_config", &PauliExpCommutingSetBox::get_cx_config,
@@ -677,15 +690,15 @@ void init_boxes(py::module &m) {
       .def(
           py::init([](const py::tket_custom::SequenceVec<std::string>
                           &pauli_strings) {
-            PauliStabiliserList stabilisers;
+            PauliStabiliserVec stabilisers;
             for (auto &raw_string : pauli_strings) {
               std::vector<Pauli> string;
-              bool coeff = true;
+              quarter_turns_t coeff = 0;
               for (unsigned i = 0; i < raw_string.size(); i++) {
                 switch (raw_string[i]) {
                   case '-':
                     if (i == 0) {
-                      coeff = false;
+                      coeff = 2;
                     } else {
                       throw std::invalid_argument(
                           "Invalid Pauli string: " + raw_string);
diff --git a/pytket/binders/partition.cpp b/pytket/binders/partition.cpp
index 784d3a418c..f08163e732 100644
--- a/pytket/binders/partition.cpp
+++ b/pytket/binders/partition.cpp
@@ -126,7 +126,7 @@ PYBIND11_MODULE(partition, m) {
       .def(
           "add_result_for_term",
           (void(MeasurementSetup::*)(
-              const QubitPauliString &,
+              const SpPauliString &,
               const MeasurementSetup::MeasurementBitMap &)) &
               MeasurementSetup::add_result_for_term,
           "Add a new Pauli string with a corresponding BitMap", py::arg("term"),
@@ -153,7 +153,7 @@ PYBIND11_MODULE(partition, m) {
 
   m.def(
       "measurement_reduction",
-      [](const py::tket_custom::SequenceList<QubitPauliString> &strings,
+      [](const py::tket_custom::SequenceList<SpPauliString> &strings,
          PauliPartitionStrat strat, GraphColourMethod method,
          CXConfigType cx_config) {
         return measurement_reduction(strings, strat, method, cx_config);
@@ -173,7 +173,7 @@ PYBIND11_MODULE(partition, m) {
 
   m.def(
       "term_sequence",
-      [](const py::tket_custom::SequenceList<QubitPauliString> &strings,
+      [](const py::tket_custom::SequenceList<SpPauliString> &strings,
          PauliPartitionStrat strat, GraphColourMethod method) {
         return term_sequence(strings, strat, method);
       },
diff --git a/pytket/binders/pauli.cpp b/pytket/binders/pauli.cpp
index 584579fe0b..c69677980e 100644
--- a/pytket/binders/pauli.cpp
+++ b/pytket/binders/pauli.cpp
@@ -20,7 +20,7 @@
 #include "binder_json.hpp"
 #include "deleted_hash.hpp"
 #include "py_operators.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 #include "typecast.hpp"
 
 namespace py = pybind11;
@@ -38,7 +38,7 @@ PYBIND11_MODULE(pauli, m) {
       .value("Z", Pauli::Z)
       .export_values();
 
-  py::class_<QubitPauliString>(
+  py::class_<SpPauliString>(
       m, "QubitPauliString",
       "A string of Pauli letters from the alphabet {I, X, Y, Z}, "
       "implemented as a sparse list, indexed by qubit.")
@@ -60,22 +60,23 @@ PYBIND11_MODULE(pauli, m) {
           ":py:class:`Qubit` to :py:class:`Pauli`.",
           py::arg("map"))
       .def(
-          "__hash__",
-          [](const QubitPauliString &qps) { return hash_value(qps); })
-      .def("__repr__", &QubitPauliString::to_str)
-      .def("__eq__", &py_equals<QubitPauliString>)
-      .def("__ne__", &py_not_equals<QubitPauliString>)
-      .def("__lt__", &QubitPauliString::operator<)
-      .def("__getitem__", &QubitPauliString::get)
-      .def("__setitem__", &QubitPauliString::set)
+          "__hash__", [](const SpPauliString &qps) { return qps.hash_value(); })
+      .def("__repr__", &SpPauliString::to_str)
+      .def("__eq__", &py_equals<SpPauliString>)
+      .def("__ne__", &py_not_equals<SpPauliString>)
+      .def("__lt__", &SpPauliString::operator<)
+      .def("__getitem__", &SpPauliString::get<QubitPauliMap>)
+      .def("__setitem__", &SpPauliString::set<QubitPauliMap>)
       .def_property_readonly(
-          "map", [](const QubitPauliString &qps) { return qps.map; },
+          "map", [](const SpPauliString &qps) { return qps.string; },
           ":return: the QubitPauliString's underlying dict mapping "
           ":py:class:`Qubit` to :py:class:`Pauli`")
       .def(
           "to_list",
-          [](const QubitPauliString &qps) {
-            return py::object(json(qps)).cast<py::list>();
+          [](const SpPauliString &qps) {
+            // Just return the QubitPauliMap for backwards compatibility with
+            // before templated PauliTensor
+            return py::object(json(qps.string)).cast<py::list>();
           },
           "A JSON-serializable representation of the QubitPauliString.\n\n"
           ":return: a list of :py:class:`Qubit`-to-:py:class:`Pauli` "
@@ -84,22 +85,23 @@ PYBIND11_MODULE(pauli, m) {
       .def_static(
           "from_list",
           [](const py::list &qubit_pauli_string_list) {
-            return json(qubit_pauli_string_list).get<QubitPauliString>();
+            return SpPauliString(
+                json(qubit_pauli_string_list).get<QubitPauliMap>());
           },
           "Construct a new QubitPauliString instance from a JSON serializable "
           "list "
           "representation.")
       .def(
-          "compress", &QubitPauliString::compress,
+          "compress", &SpPauliString::compress<QubitPauliMap>,
           "Removes I terms to compress the sparse representation.")
       .def(
-          "commutes_with", &QubitPauliString::commutes_with,
+          "commutes_with", &SpPauliString::commutes_with<no_coeff_t>,
           ":return: True if the two strings commute, else False",
           py::arg("other"))
       .def(
           "to_sparse_matrix",
-          (CmplxSpMat(QubitPauliString::*)(void) const) &
-              QubitPauliString::to_sparse_matrix,
+          (CmplxSpMat(SpPauliString::*)(void) const) &
+              SpPauliString::to_sparse_matrix,
           "Represents the sparse string as a dense string (without "
           "padding for extra qubits) and generates the matrix for the "
           "tensor. Uses the ILO-BE convention, so ``Qubit(\"a\", 0)`` "
@@ -108,8 +110,8 @@ PYBIND11_MODULE(pauli, m) {
           "\n\n:return: a sparse matrix corresponding to the operator")
       .def(
           "to_sparse_matrix",
-          (CmplxSpMat(QubitPauliString::*)(const unsigned) const) &
-              QubitPauliString::to_sparse_matrix,
+          (CmplxSpMat(SpPauliString::*)(const unsigned) const) &
+              SpPauliString::to_sparse_matrix,
           "Represents the sparse string as a dense string over "
           "`n_qubits` qubits (sequentially indexed from 0 in the "
           "default register) and generates the matrix for the tensor. "
@@ -121,7 +123,7 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("n_qubits"))
       .def(
           "to_sparse_matrix",
-          [](const QubitPauliString &self, const py_qubit_vector_t &qubits) {
+          [](const SpPauliString &self, const py_qubit_vector_t &qubits) {
             return self.to_sparse_matrix(qubits);
           },
           "Represents the sparse string as a dense string and generates "
@@ -135,9 +137,8 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("qubits"))
       .def(
           "dot_state",
-          (Eigen::VectorXcd(QubitPauliString::*)(const Eigen::VectorXcd &)
-               const) &
-              QubitPauliString::dot_state,
+          (Eigen::VectorXcd(SpPauliString::*)(const Eigen::VectorXcd &) const) &
+              SpPauliString::dot_state,
           "Performs the dot product of the state with the pauli string. "
           "Maps the qubits of the statevector with sequentially-indexed "
           "qubits in the default register, with ``Qubit(0)`` being the "
@@ -148,7 +149,7 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("state"))
       .def(
           "dot_state",
-          [](const QubitPauliString &self, const Eigen::VectorXcd &state,
+          [](const SpPauliString &self, const Eigen::VectorXcd &state,
              const py_qubit_vector_t &qubits) {
             return self.dot_state(state, qubits);
           },
@@ -163,7 +164,7 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("state"), py::arg("qubits"))
       .def(
           "state_expectation",
-          [](const QubitPauliString &self, const Eigen::VectorXcd &state) {
+          [](const SpPauliString &self, const Eigen::VectorXcd &state) {
             return self.state_expectation(state);
           },
           "Calculates the expectation value of the state with the pauli "
@@ -176,7 +177,7 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("state"))
       .def(
           "state_expectation",
-          [](const QubitPauliString &self, const Eigen::VectorXcd &state,
+          [](const SpPauliString &self, const Eigen::VectorXcd &state,
              const py_qubit_vector_t &qubits) {
             return self.state_expectation(state, qubits);
           },
@@ -191,11 +192,11 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("state"), py::arg("qubits"))
 
       .def(py::pickle(
-          [](const QubitPauliString &qps) {
+          [](const SpPauliString &qps) {
             /* Hackery to avoid pickling an opaque object */
             std::list<Qubit> qubits;
             std::list<Pauli> paulis;
-            for (const std::pair<const Qubit, Pauli> &qp_pair : qps.map) {
+            for (const std::pair<const Qubit, Pauli> &qp_pair : qps.string) {
               qubits.push_back(qp_pair.first);
               paulis.push_back(qp_pair.second);
             }
@@ -205,16 +206,16 @@ PYBIND11_MODULE(pauli, m) {
             if (t.size() != 2)
               throw std::runtime_error(
                   "Invalid state: tuple size: " + std::to_string(t.size()));
-            return QubitPauliString(
+            return SpPauliString(
                 t[0].cast<std::list<Qubit>>(), t[1].cast<std::list<Pauli>>());
           }));
 
   m.def(
       "pauli_string_mult",
-      [](const QubitPauliString &qps1, const QubitPauliString &qps2) {
-        QubitPauliTensor product_tensor =
-            QubitPauliTensor(qps1) * QubitPauliTensor(qps2);
-        return std::pair<QubitPauliString, Complex>(
+      [](const SpPauliString &qps1, const SpPauliString &qps2) {
+        SpCxPauliTensor product_tensor =
+            SpCxPauliTensor(qps1) * SpCxPauliTensor(qps2);
+        return std::pair<SpPauliString, Complex>(
             product_tensor.string, product_tensor.coeff);
       },
       ":return: the product of two QubitPauliString objects as a pair "
@@ -230,10 +231,10 @@ PYBIND11_MODULE(pauli, m) {
           py::init([](const py::tket_custom::SequenceVec<Pauli> &string,
                       const int &coeff) {
             if (coeff == 1) {
-              return PauliStabiliser(string, true);
+              return PauliStabiliser(string, 0);
             }
             if (coeff == -1) {
-              return PauliStabiliser(string, false);
+              return PauliStabiliser(string, 2);
             }
             throw std::invalid_argument("Coefficient must be -1 or 1.");
           }),
@@ -242,8 +243,7 @@ PYBIND11_MODULE(pauli, m) {
       .def_property_readonly(
           "coeff",
           [](const PauliStabiliser &stabiliser) {
-            if (stabiliser.coeff) return 1;
-            return -1;
+            return stabiliser.is_real_negative() ? -1 : 1;
           },
           "The coefficient of the stabiliser")
       .def_property_readonly(
@@ -254,13 +254,14 @@ PYBIND11_MODULE(pauli, m) {
       .def("__hash__", &deletedHash<PauliStabiliser>, deletedHashDocstring)
       .def("__ne__", &py_not_equals<PauliStabiliser>);
 
-  py::class_<QubitPauliTensor>(
+  py::class_<SpCxPauliTensor>(
       m, "QubitPauliTensor",
       "A tensor formed by Pauli terms, consisting of a sparse map from "
       ":py:class:`Qubit` to :py:class:`Pauli` (implemented as a "
       ":py:class:`QubitPauliString`) and a complex coefficient.")
       .def(
-          py::init<Complex>(),
+          py::init(
+              [](const Complex &coeff) { return SpCxPauliTensor({}, coeff); }),
           "Constructs an empty QubitPauliTensor, representing the identity.",
           py::arg("coeff") = 1.)
       .def(
@@ -271,7 +272,7 @@ PYBIND11_MODULE(pauli, m) {
           py::init([](const py::tket_custom::SequenceList<Qubit> &qubits,
                       const py::tket_custom::SequenceList<Pauli> &paulis,
                       const Complex &coeff) {
-            return QubitPauliTensor(QubitPauliString(qubits, paulis), coeff);
+            return SpCxPauliTensor(qubits, paulis, coeff);
           }),
           "Constructs a QubitPauliTensor from two matching lists of "
           "Qubits and Paulis.",
@@ -282,42 +283,51 @@ PYBIND11_MODULE(pauli, m) {
           ":py:class:`Qubit` to :py:class:`Pauli`.",
           py::arg("map"), py::arg("coeff") = 1.)
       .def(
-          py::init<QubitPauliString, Complex>(),
+          py::init([](const SpPauliString &qps, const Complex &c) {
+            return SpCxPauliTensor(qps.string, c);
+          }),
           "Construct a QubitPauliTensor from a QubitPauliString.",
           py::arg("string"), py::arg("coeff") = 1.)
       .def(
           "__hash__",
-          [](const QubitPauliTensor &qps) { return hash_value(qps); })
-      .def("__repr__", &QubitPauliTensor::to_str)
-      .def("__eq__", &py_equals<QubitPauliTensor>)
-      .def("__ne__", &py_not_equals<QubitPauliTensor>)
-      .def("__lt__", &QubitPauliTensor::operator<)
-      .def(
-          "__getitem__", [](const QubitPauliTensor &qpt,
-                            const Qubit &q) { return qpt.string.get(q); })
-      .def(
-          "__setitem__", [](QubitPauliTensor &qpt, const Qubit &q,
-                            Pauli p) { return qpt.string.set(q, p); })
+          [](const SpCxPauliTensor &qps) { return qps.hash_value(); })
+      .def("__repr__", &SpCxPauliTensor::to_str)
+      .def("__eq__", &py_equals<SpCxPauliTensor>)
+      .def("__ne__", &py_not_equals<SpCxPauliTensor>)
+      .def("__lt__", &SpCxPauliTensor::operator<)
+      .def("__getitem__", &SpCxPauliTensor::get<QubitPauliMap>)
+      .def("__setitem__", &SpCxPauliTensor::set<QubitPauliMap>)
       .def(py::self * py::self)
-      .def(Complex() * py::self)
-      .def_readwrite(
-          "string", &QubitPauliTensor::string,
+      .def(
+          "__rmul__",
+          [](const SpCxPauliTensor &qpt, const Complex &c) {
+            return SpCxPauliTensor(qpt.string, qpt.coeff * c);
+          },
+          py::is_operator())
+      .def_property(
+          "string",
+          [](const SpCxPauliTensor &qpt) {
+            // Return as SpPauliString for backwards compatibility with before
+            // templated PauliTensor
+            return SpPauliString(qpt.string);
+          },
+          [](SpCxPauliTensor &qpt, const SpPauliString &qps) {
+            qpt.string = qps.string;
+          },
           "The QubitPauliTensor's underlying :py:class:`QubitPauliString`")
       .def_readwrite(
-          "coeff", &QubitPauliTensor::coeff,
+          "coeff", &SpCxPauliTensor::coeff,
           "The global coefficient of the tensor")
       .def(
-          "compress", &QubitPauliTensor::compress,
+          "compress", &SpCxPauliTensor::compress<QubitPauliMap>,
           "Removes I terms to compress the sparse representation.")
       .def(
-          "commutes_with", &QubitPauliTensor::commutes_with,
+          "commutes_with", &SpCxPauliTensor::commutes_with<Complex>,
           ":return: True if the two tensors commute, else False",
           py::arg("other"))
       .def(
           "to_sparse_matrix",
-          [](const QubitPauliTensor &qpt) {
-            return (CmplxSpMat)(qpt.coeff * qpt.string.to_sparse_matrix());
-          },
+          [](const SpCxPauliTensor &qpt) { return qpt.to_sparse_matrix(); },
           "Represents the sparse string as a dense string (without "
           "padding for extra qubits) and generates the matrix for the "
           "tensor. Uses the ILO-BE convention, so ``Qubit(\"a\", 0)`` "
@@ -326,9 +336,8 @@ PYBIND11_MODULE(pauli, m) {
           "\n\n:return: a sparse matrix corresponding to the tensor")
       .def(
           "to_sparse_matrix",
-          [](const QubitPauliTensor &qpt, unsigned n_qubits) {
-            return (CmplxSpMat)(qpt.coeff *
-                                qpt.string.to_sparse_matrix(n_qubits));
+          [](const SpCxPauliTensor &qpt, unsigned n_qubits) {
+            return qpt.to_sparse_matrix(n_qubits);
           },
           "Represents the sparse string as a dense string over "
           "`n_qubits` qubits (sequentially indexed from 0 in the "
@@ -341,9 +350,8 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("n_qubits"))
       .def(
           "to_sparse_matrix",
-          [](const QubitPauliTensor &qpt, const py_qubit_vector_t &qubits) {
-            return (CmplxSpMat)(qpt.coeff *
-                                qpt.string.to_sparse_matrix(qubits));
+          [](const SpCxPauliTensor &qpt, const py_qubit_vector_t &qubits) {
+            return qpt.to_sparse_matrix(qubits);
           },
           "Represents the sparse string as a dense string and generates "
           "the matrix for the tensor. Orders qubits according to "
@@ -356,8 +364,8 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("qubits"))
       .def(
           "dot_state",
-          [](const QubitPauliTensor &qpt, const Eigen::VectorXcd &state) {
-            return qpt.coeff * qpt.string.dot_state(state);
+          [](const SpCxPauliTensor &qpt, const Eigen::VectorXcd &state) {
+            return qpt.dot_state(state);
           },
           "Performs the dot product of the state with the pauli tensor. "
           "Maps the qubits of the statevector with sequentially-indexed "
@@ -369,9 +377,9 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("state"))
       .def(
           "dot_state",
-          [](const QubitPauliTensor &qpt, const Eigen::VectorXcd &state,
+          [](const SpCxPauliTensor &qpt, const Eigen::VectorXcd &state,
              const py_qubit_vector_t &qubits) {
-            return qpt.coeff * qpt.string.dot_state(state, qubits);
+            return qpt.dot_state(state, qubits);
           },
           "Performs the dot product of the state with the pauli tensor. "
           "Maps the qubits of the statevector according to the ordered "
@@ -384,8 +392,8 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("state"), py::arg("qubits"))
       .def(
           "state_expectation",
-          [](const QubitPauliTensor &qpt, const Eigen::VectorXcd &state) {
-            return qpt.coeff * qpt.string.state_expectation(state);
+          [](const SpCxPauliTensor &qpt, const Eigen::VectorXcd &state) {
+            return qpt.state_expectation(state);
           },
           "Calculates the expectation value of the state with the pauli "
           "operator. Maps the qubits of the statevector with "
@@ -397,9 +405,9 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("state"))
       .def(
           "state_expectation",
-          [](const QubitPauliTensor &qpt, const Eigen::VectorXcd &state,
+          [](const SpCxPauliTensor &qpt, const Eigen::VectorXcd &state,
              const py_qubit_vector_t &qubits) {
-            return qpt.coeff * qpt.string.state_expectation(state, qubits);
+            return qpt.state_expectation(state, qubits);
           },
           "Calculates the expectation value of the state with the pauli "
           "operator. Maps the qubits of the statevector according to the "
@@ -412,11 +420,10 @@ PYBIND11_MODULE(pauli, m) {
           py::arg("state"), py::arg("qubits"))
 
       .def(py::pickle(
-          [](const QubitPauliTensor &qpt) {
+          [](const SpCxPauliTensor &qpt) {
             std::list<Qubit> qubits;
             std::list<Pauli> paulis;
-            for (const std::pair<const Qubit, Pauli> &qp_pair :
-                 qpt.string.map) {
+            for (const std::pair<const Qubit, Pauli> &qp_pair : qpt.string) {
               qubits.push_back(qp_pair.first);
               paulis.push_back(qp_pair.second);
             }
@@ -426,10 +433,8 @@ PYBIND11_MODULE(pauli, m) {
             if (t.size() != 3)
               throw std::runtime_error(
                   "Invalid state: tuple size: " + std::to_string(t.size()));
-            return QubitPauliTensor(
-                QubitPauliString(
-                    t[0].cast<std::list<Qubit>>(),
-                    t[1].cast<std::list<Pauli>>()),
+            return SpCxPauliTensor(
+                t[0].cast<std::list<Qubit>>(), t[1].cast<std::list<Pauli>>(),
                 t[2].cast<Complex>());
           }));
 }
diff --git a/pytket/binders/tableau.cpp b/pytket/binders/tableau.cpp
index d3ee43c885..a9f898ca10 100644
--- a/pytket/binders/tableau.cpp
+++ b/pytket/binders/tableau.cpp
@@ -69,19 +69,31 @@ PYBIND11_MODULE(tableau, m) {
             return str.str();
           })
       .def(
-          "get_xrow", &UnitaryTableau::get_xrow,
+          "get_xrow",
+          [](const UnitaryTableau& tab, const Qubit& qb) {
+            return SpCxPauliTensor(tab.get_xrow(qb));
+          },
           "Read off an X row as a Pauli string."
           "\n\n:param qb: The qubits whose X row to read off."
           "\n:return: The Pauli string :math:`P` such that :math:`PU=UX_{qb}`.",
           py::arg("qb"))
       .def(
-          "get_zrow", &UnitaryTableau::get_zrow,
+          "get_zrow",
+          [](const UnitaryTableau& tab, const Qubit& qb) {
+            return SpCxPauliTensor(tab.get_zrow(qb));
+          },
           "Read off an Z row as a Pauli string."
           "\n\n:param qb: The qubits whose Z row to read off."
           "\n:return: The Pauli string :math:`P` such that :math:`PU=UZ_{qb}`.",
           py::arg("qb"))
       .def(
-          "get_row_product", &UnitaryTableau::get_row_product,
+          "get_row_product",
+          [](const UnitaryTableau& tab, const SpCxPauliTensor& paulis) {
+            SpCxPauliTensor res =
+                tab.get_row_product(SpPauliStabiliser(paulis.string));
+            res.coeff *= paulis.coeff;
+            return res;
+          },
           "Combine rows to yield the effect of a given Pauli string."
           "\n\n:param paulis: The Pauli string :math:`P` to consider at the "
           "input."
diff --git a/pytket/binders/tailoring.cpp b/pytket/binders/tailoring.cpp
index ad3f1ea1d7..bc78f98333 100644
--- a/pytket/binders/tailoring.cpp
+++ b/pytket/binders/tailoring.cpp
@@ -26,19 +26,21 @@ namespace py = pybind11;
 
 namespace tket {
 
-QubitPauliTensor apply_clifford_basis_change_tensor(
-    const QubitPauliTensor &in_pauli, const Circuit &circ) {
+SpCxPauliTensor apply_clifford_basis_change_tensor(
+    const SpCxPauliTensor &in_pauli, const Circuit &circ) {
+  SpPauliStabiliser in_string(in_pauli.string);
   UnitaryRevTableau tab = circuit_to_unitary_rev_tableau(circ);
-  QubitPauliTensor new_operator = tab.get_row_product(in_pauli);
+  SpCxPauliTensor new_operator = tab.get_row_product(in_string);
+  new_operator.coeff *= in_pauli.coeff;
   return new_operator;
 }
 
-QubitPauliString apply_clifford_basis_change_string(
-    const QubitPauliString &in_pauli, const Circuit &circ) {
+SpPauliString apply_clifford_basis_change_string(
+    const SpPauliString &in_pauli, const Circuit &circ) {
   UnitaryRevTableau tab = circuit_to_unitary_rev_tableau(circ);
-  QubitPauliTensor new_operator =
-      tab.get_row_product(QubitPauliTensor(in_pauli));
-  return new_operator.string;
+  SpPauliStabiliser new_operator =
+      tab.get_row_product(SpPauliStabiliser(in_pauli));
+  return SpPauliString(new_operator.string);
 }
 
 PYBIND11_MODULE(tailoring, m) {
diff --git a/pytket/conanfile.py b/pytket/conanfile.py
index 62a6ab520b..3642b3862e 100644
--- a/pytket/conanfile.py
+++ b/pytket/conanfile.py
@@ -32,7 +32,7 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tket/1.2.62@tket/stable")
+        self.requires("tket/1.2.63@tket/stable")
         self.requires("tklog/0.3.3@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("tkassert/0.3.3@tket/stable")
diff --git a/pytket/pytket/_tket/pauli.pyi b/pytket/pytket/_tket/pauli.pyi
index ad9daf70b4..a3ab039645 100644
--- a/pytket/pytket/_tket/pauli.pyi
+++ b/pytket/pytket/_tket/pauli.pyi
@@ -333,7 +333,7 @@ class QubitPauliTensor:
         The QubitPauliTensor's underlying :py:class:`QubitPauliString`
         """
     @string.setter
-    def string(self, arg0: QubitPauliString) -> None:
+    def string(self, arg1: QubitPauliString) -> None:
         ...
 def pauli_string_mult(qubitpaulistring1: QubitPauliString, qubitpaulistring2: QubitPauliString) -> tuple[QubitPauliString, complex]:
     """
diff --git a/tket/CMakeLists.txt b/tket/CMakeLists.txt
index 69d9cee448..aaa4497799 100644
--- a/tket/CMakeLists.txt
+++ b/tket/CMakeLists.txt
@@ -126,7 +126,7 @@ target_sources(tket
         src/Utils/UnitID.cpp
         src/Utils/HelperFunctions.cpp
         src/Utils/MatrixAnalysis.cpp
-        src/Utils/PauliStrings.cpp
+        src/Utils/PauliTensor.cpp
         src/Utils/CosSinDecomposition.cpp
         src/Utils/Expression.cpp
         src/OpType/OpDesc.cpp
@@ -291,7 +291,7 @@ target_sources(tket
         include/tket/Utils/HelperFunctions.hpp
         include/tket/Utils/Json.hpp
         include/tket/Utils/MatrixAnalysis.hpp
-        include/tket/Utils/PauliStrings.hpp
+        include/tket/Utils/PauliTensor.hpp
         include/tket/Utils/SequencedContainers.hpp
         include/tket/Utils/Symbols.hpp
         include/tket/Utils/UnitID.hpp
diff --git a/tket/conanfile.py b/tket/conanfile.py
index dfad9fefba..c21629af57 100644
--- a/tket/conanfile.py
+++ b/tket/conanfile.py
@@ -23,7 +23,7 @@
 
 class TketConan(ConanFile):
     name = "tket"
-    version = "1.2.62"
+    version = "1.2.63"
     package_type = "library"
     license = "Apache 2"
     homepage = "https://github.com/CQCL/tket"
diff --git a/tket/include/tket/Characterisation/FrameRandomisation.hpp b/tket/include/tket/Characterisation/FrameRandomisation.hpp
index 80895b4db0..fccbed498d 100644
--- a/tket/include/tket/Characterisation/FrameRandomisation.hpp
+++ b/tket/include/tket/Characterisation/FrameRandomisation.hpp
@@ -106,7 +106,7 @@ class PauliFrameRandomisation : public FrameRandomisation {
   }
 
  protected:
-  //   QubitPauliTensor class used to find "out_frame"
+  //   PauliTensor class used to find "out_frame"
   std::pair<OpTypeVector, std::vector<Vertex>> get_out_frame(
       const OpTypeVector& in_frame, const Cycle& cycle);
 };
@@ -121,7 +121,7 @@ class UniversalFrameRandomisation : public FrameRandomisation {
   virtual ~UniversalFrameRandomisation() {}
 
  protected:
-  //   QubitPauliTensor class used to find "out_frame"
+  //   PauliTensor class used to find "out_frame"
   std::pair<OpTypeVector, std::vector<Vertex>> get_out_frame(
       const OpTypeVector& in_frame, const Cycle& cycle);
 };
diff --git a/tket/include/tket/Circuit/AssertionSynthesis.hpp b/tket/include/tket/Circuit/AssertionSynthesis.hpp
index 4ea2dfe625..1b5a48b7af 100644
--- a/tket/include/tket/Circuit/AssertionSynthesis.hpp
+++ b/tket/include/tket/Circuit/AssertionSynthesis.hpp
@@ -42,5 +42,5 @@ std::tuple<Circuit, std::vector<bool>> projector_assertion_synthesis(
  * readouts
  */
 std::tuple<Circuit, std::vector<bool>> stabiliser_assertion_synthesis(
-    const PauliStabiliserList &paulis);
+    const PauliStabiliserVec &paulis);
 }  // namespace tket
diff --git a/tket/include/tket/Circuit/Boxes.hpp b/tket/include/tket/Circuit/Boxes.hpp
index 7d1e2324a2..9b642b6927 100644
--- a/tket/include/tket/Circuit/Boxes.hpp
+++ b/tket/include/tket/Circuit/Boxes.hpp
@@ -619,7 +619,7 @@ class StabiliserAssertionBox : public Box {
    *
    * @param paulis a set of stabiliser Pauli strings
    */
-  explicit StabiliserAssertionBox(const PauliStabiliserList &paulis);
+  explicit StabiliserAssertionBox(const PauliStabiliserVec &paulis);
 
   /**
    * Copy constructor
@@ -640,7 +640,7 @@ class StabiliserAssertionBox : public Box {
   bool is_equal(const Op &op_other) const override;
 
   /** Get the pauli stabilisers */
-  PauliStabiliserList get_stabilisers() const { return paulis_; }
+  PauliStabiliserVec get_stabilisers() const { return paulis_; }
   std::vector<bool> get_expected_readouts() const { return expected_readouts_; }
 
   Op_ptr dagger() const override;
@@ -657,7 +657,7 @@ class StabiliserAssertionBox : public Box {
   void generate_circuit() const override;
 
  private:
-  const PauliStabiliserList paulis_;
+  const PauliStabiliserVec paulis_;
   // expected readouts the debug bits
   // false -> 0
   // true -> 1
diff --git a/tket/include/tket/Circuit/CircUtils.hpp b/tket/include/tket/Circuit/CircUtils.hpp
index 04306bfbe5..c9706161ac 100644
--- a/tket/include/tket/Circuit/CircUtils.hpp
+++ b/tket/include/tket/Circuit/CircUtils.hpp
@@ -18,7 +18,7 @@
 #include "DAGDefs.hpp"
 #include "tket/Gate/GatePtr.hpp"
 #include "tket/Utils/EigenConfig.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 
 namespace tket {
 
diff --git a/tket/include/tket/Circuit/PauliExpBoxes.hpp b/tket/include/tket/Circuit/PauliExpBoxes.hpp
index 8fcf256c42..78dc171ea3 100644
--- a/tket/include/tket/Circuit/PauliExpBoxes.hpp
+++ b/tket/include/tket/Circuit/PauliExpBoxes.hpp
@@ -32,10 +32,11 @@ class PauliExpBox : public Box {
   /**
    * The operation implements the unitary operator
    * \f$ e^{-\frac12 i \pi t \sigma_0 \otimes \sigma_1 \otimes \cdots} \f$
-   * where \f$ \sigma_i \in \{I,X,Y,Z\} \f$ are the Pauli operators.
+   * where \f$ \sigma_i \in \{I,X,Y,Z\} \f$ are the Pauli operators and \f$ t
+   * \f$ is the coefficient.
    */
   PauliExpBox(
-      const std::vector<Pauli> &paulis, const Expr &t,
+      const SymPauliTensor &paulis,
       CXConfigType cx_config_type = CXConfigType::Tree);
 
   /**
@@ -60,10 +61,10 @@ class PauliExpBox : public Box {
   bool is_equal(const Op &op_other) const override;
 
   /** Get the Pauli string */
-  std::vector<Pauli> get_paulis() const { return paulis_; }
+  std::vector<Pauli> get_paulis() const { return paulis_.string; }
 
   /** Get the phase parameter */
-  Expr get_phase() const { return t_; }
+  Expr get_phase() const { return paulis_.coeff; }
 
   /** Get the cx_config parameter (affects box decomposition) */
   CXConfigType get_cx_config() const { return cx_config_; }
@@ -83,16 +84,14 @@ class PauliExpBox : public Box {
   void generate_circuit() const override;
 
  private:
-  std::vector<Pauli> paulis_;
-  Expr t_;
+  SymPauliTensor paulis_;
   CXConfigType cx_config_;
 };
 
 class PauliExpPairBox : public Box {
  public:
   PauliExpPairBox(
-      const std::vector<Pauli> &paulis0, const Expr &t0,
-      const std::vector<Pauli> &paulis1, const Expr &t1,
+      const SymPauliTensor &paulis0, const SymPauliTensor &paulis1,
       CXConfigType cx_config_type = CXConfigType::Tree);
 
   /**
@@ -118,12 +117,12 @@ class PauliExpPairBox : public Box {
 
   /** Get Pauli strings for the pair */
   std::pair<std::vector<Pauli>, std::vector<Pauli>> get_paulis_pair() const {
-    return std::make_pair(paulis0_, paulis1_);
+    return std::make_pair(paulis0_.string, paulis1_.string);
   }
 
   /** Get phase parameters for the pair */
   std::pair<Expr, Expr> get_phase_pair() const {
-    return std::make_pair(t0_, t1_);
+    return std::make_pair(paulis0_.coeff, paulis1_.coeff);
   }
 
   /** Get the cx_config parameter (affects box decomposition) */
@@ -144,17 +143,15 @@ class PauliExpPairBox : public Box {
   void generate_circuit() const override;
 
  private:
-  std::vector<Pauli> paulis0_;
-  Expr t0_;
-  std::vector<Pauli> paulis1_;
-  Expr t1_;
+  SymPauliTensor paulis0_;
+  SymPauliTensor paulis1_;
   CXConfigType cx_config_;
 };
 
 class PauliExpCommutingSetBox : public Box {
  public:
   PauliExpCommutingSetBox(
-      const std::vector<std::pair<std::vector<Pauli>, Expr>> &pauli_gadgets,
+      const std::vector<SymPauliTensor> &pauli_gadgets,
       CXConfigType cx_config_type = CXConfigType::Tree);
 
   /**
@@ -201,7 +198,7 @@ class PauliExpCommutingSetBox : public Box {
   void generate_circuit() const override;
 
  private:
-  std::vector<std::pair<std::vector<Pauli>, Expr>> pauli_gadgets_;
+  std::vector<SymPauliTensor> pauli_gadgets_;
   CXConfigType cx_config_;
 };
 
diff --git a/tket/include/tket/Clifford/ChoiMixTableau.hpp b/tket/include/tket/Clifford/ChoiMixTableau.hpp
index e275b49608..1a3a8dae91 100644
--- a/tket/include/tket/Clifford/ChoiMixTableau.hpp
+++ b/tket/include/tket/Clifford/ChoiMixTableau.hpp
@@ -43,7 +43,7 @@ class ChoiMixTableau {
    * Each row is divided into its input segment and output segment. Under the CJ
    * isomorphism, a row RxS means (in matrix multiplication order) SCR^T = C.
    * When mapped to a sparse readable representation, independent
-   * QubitPauliTensor objects are used for each segment, so we no longer expect
+   * SpPauliStabiliser objects are used for each segment, so we no longer expect
    * their individual phases to be +-1, instead only requiring this on their
    * product.
    *
@@ -56,7 +56,7 @@ class ChoiMixTableau {
   enum class TableauSegment { Input, Output };
   typedef std::pair<Qubit, TableauSegment> col_key_t;
   typedef boost::bimap<col_key_t, unsigned> tableau_col_index_t;
-  typedef std::pair<QubitPauliTensor, QubitPauliTensor> row_tensor_t;
+  typedef std::pair<SpPauliStabiliser, SpPauliStabiliser> row_tensor_t;
 
   /**
    * The actual binary tableau.
@@ -91,7 +91,7 @@ class ChoiMixTableau {
       unsigned n_ins = 0);
   /**
    * Construct a tableau directly from its rows.
-   * Each row is represented as a product of QubitPauliTensors where the first
+   * Each row is represented as a product of SpPauliStabilisers where the first
    * is over the input qubits and the second is over the outputs.
    */
   explicit ChoiMixTableau(const std::list<row_tensor_t>& rows);
@@ -162,7 +162,7 @@ class ChoiMixTableau {
    * @param seg Whether to apply the Pauli gadget over the inputs or outputs
    */
   void apply_pauli(
-      const QubitPauliTensor& pauli, unsigned half_pis,
+      const SpPauliStabiliser& pauli, unsigned half_pis,
       TableauSegment seg = TableauSegment::Output);
 
   /**
diff --git a/tket/include/tket/Clifford/SymplecticTableau.hpp b/tket/include/tket/Clifford/SymplecticTableau.hpp
index bff4255f7d..86c7c63532 100644
--- a/tket/include/tket/Clifford/SymplecticTableau.hpp
+++ b/tket/include/tket/Clifford/SymplecticTableau.hpp
@@ -16,7 +16,7 @@
 
 #include "tket/OpType/OpType.hpp"
 #include "tket/Utils/MatrixAnalysis.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 
 namespace tket {
 
@@ -92,7 +92,7 @@ class SymplecticTableau {
    */
   explicit SymplecticTableau(
       const MatrixXb &xmat, const MatrixXb &zmat, const VectorXb &phase);
-  explicit SymplecticTableau(const PauliStabiliserList &rows);
+  explicit SymplecticTableau(const PauliStabiliserVec &rows);
 
   /**
    * Other required constructors
diff --git a/tket/include/tket/Clifford/UnitaryTableau.hpp b/tket/include/tket/Clifford/UnitaryTableau.hpp
index 8dcb5bef5f..45388acda0 100644
--- a/tket/include/tket/Clifford/UnitaryTableau.hpp
+++ b/tket/include/tket/Clifford/UnitaryTableau.hpp
@@ -78,17 +78,17 @@ class UnitaryTableau {
   /**
    * Read off an X row as a Pauli string
    */
-  QubitPauliTensor get_xrow(const Qubit& qb) const;
+  SpPauliStabiliser get_xrow(const Qubit& qb) const;
 
   /**
    * Read off a Z row as a Pauli string
    */
-  QubitPauliTensor get_zrow(const Qubit& qb) const;
+  SpPauliStabiliser get_zrow(const Qubit& qb) const;
 
   /**
-   * Combine rows into a single row according to a QubitPauliTensor
+   * Combine rows into a single row according to a SpPauliStabiliser
    */
-  QubitPauliTensor get_row_product(const QubitPauliTensor& qpt) const;
+  SpPauliStabiliser get_row_product(const SpPauliStabiliser& qpt) const;
 
   /**
    * Access all IDs for the qubits used in the tableau.
@@ -116,8 +116,8 @@ class UnitaryTableau {
    * @param half_pis The Clifford angle: {0, 1, 2, 3} represents {0, pi/2, pi,
    * -pi/2}
    */
-  void apply_pauli_at_front(const QubitPauliTensor& pauli, unsigned half_pis);
-  void apply_pauli_at_end(const QubitPauliTensor& pauli, unsigned half_pis);
+  void apply_pauli_at_front(const SpPauliStabiliser& pauli, unsigned half_pis);
+  void apply_pauli_at_end(const SpPauliStabiliser& pauli, unsigned half_pis);
 
   /**
    * Combine two tableaux in sequence.
@@ -213,17 +213,17 @@ class UnitaryRevTableau {
   /**
    * Read off an X row as a Pauli string
    */
-  QubitPauliTensor get_xrow(const Qubit& qb) const;
+  SpPauliStabiliser get_xrow(const Qubit& qb) const;
 
   /**
    * Read off a Z row as a Pauli string
    */
-  QubitPauliTensor get_zrow(const Qubit& qb) const;
+  SpPauliStabiliser get_zrow(const Qubit& qb) const;
 
   /**
-   * Combine rows into a single row according to a QubitPauliTensor
+   * Combine rows into a single row according to a SpPauliStabiliser
    */
-  QubitPauliTensor get_row_product(const QubitPauliTensor& qpt) const;
+  SpPauliStabiliser get_row_product(const SpPauliStabiliser& qpt) const;
 
   /**
    * Access all IDs for the qubits used in the tableau.
@@ -251,8 +251,8 @@ class UnitaryRevTableau {
    * @param half_pis The Clifford angle: {0, 1, 2, 3} represents {0, pi/2, pi,
    * -pi/2}
    */
-  void apply_pauli_at_front(const QubitPauliTensor& pauli, unsigned half_pis);
-  void apply_pauli_at_end(const QubitPauliTensor& pauli, unsigned half_pis);
+  void apply_pauli_at_front(const SpPauliStabiliser& pauli, unsigned half_pis);
+  void apply_pauli_at_end(const SpPauliStabiliser& pauli, unsigned half_pis);
 
   /**
    * Combine two tableaux in sequence.
diff --git a/tket/include/tket/Converters/PauliGadget.hpp b/tket/include/tket/Converters/PauliGadget.hpp
index cfe8157c3c..6413ee34c5 100644
--- a/tket/include/tket/Converters/PauliGadget.hpp
+++ b/tket/include/tket/Converters/PauliGadget.hpp
@@ -17,7 +17,7 @@
 #include <stdexcept>
 
 #include "tket/Circuit/Circuit.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 
 namespace tket {
 
@@ -32,12 +32,12 @@ class ImplicitPermutationNotAllowed : public std::logic_error {
  * Automatically uses Snake CX configuration
  *
  * @param circ circuit to append to
- * @param pauli Pauli operators and their respective qubits
- * @param angle angle in half-turns
+ * @param pauli Pauli operators and their respective qubits; coefficient gives
+ * rotation angle in half-turns
  * @param cx_config which type of CX configuration to decompose into
  */
 void append_single_pauli_gadget(
-    Circuit& circ, const QubitPauliTensor& pauli, Expr angle,
+    Circuit& circ, const SpSymPauliTensor& pauli,
     CXConfigType cx_config = CXConfigType::Snake);
 
 /**
@@ -46,13 +46,12 @@ void append_single_pauli_gadget(
  * Automatically uses Snake CX configuration
  *
  * @param circ circuit to append to
- * @param pauli Pauli operators and their respective qubits
- * @param angle angle in half-turns
+ * @param pauli Pauli operators and their respective qubits; coefficient gives
+ * rotation angle in half-turns
  * @param cx_config which type of CX configuration to decompose into
  */
 void append_single_pauli_gadget_as_pauli_exp_box(
-    Circuit& circ, const QubitPauliTensor& pauli, Expr angle,
-    CXConfigType cx_config);
+    Circuit& circ, const SpSymPauliTensor& pauli, CXConfigType cx_config);
 
 /**
  * Append a pair of Pauli gadgets to the end of a given circuit.
@@ -63,23 +62,22 @@ void append_single_pauli_gadget_as_pauli_exp_box(
  * (!shallow) Uses the original method with naive arrangement of CXs.
  *
  * @param circ circuit to append to
- * @param pauli0 first Pauli string
- * @param angle0 angle for \p pauli0 (half-turns)
- * @param pauli1 second Pauli string
- * @param angle1 angle for \p pauli1 (half-turns)
+ * @param pauli0 first Pauli string; coefficient gives rotation angle in
+ * half-turns
+ * @param pauli1 second Pauli string; coefficient gives rotation angle in
+ * half-turns
  * @param cx_config which type of CX configuration to decompose into
  */
 void append_pauli_gadget_pair(
-    Circuit& circ, QubitPauliTensor pauli0, Expr angle0,
-    QubitPauliTensor pauli1, Expr angle1,
+    Circuit& circ, SpSymPauliTensor pauli0, SpSymPauliTensor pauli1,
     CXConfigType cx_config = CXConfigType::Snake);
 
 void append_pauli_gadget_pair_as_box(
-    Circuit& circ, const QubitPauliTensor& pauli0, Expr angle0,
-    const QubitPauliTensor& pauli1, Expr angle1, CXConfigType cx_config);
+    Circuit& circ, const SpSymPauliTensor& pauli0,
+    const SpSymPauliTensor& pauli1, CXConfigType cx_config);
 
 void append_commuting_pauli_gadget_set_as_box(
-    Circuit& circ, const std::list<std::pair<QubitPauliTensor, Expr>>& gadgets,
+    Circuit& circ, const std::list<SpSymPauliTensor>& gadgets,
     CXConfigType cx_config);
 
 }  // namespace tket
diff --git a/tket/include/tket/Diagonalisation/DiagUtils.hpp b/tket/include/tket/Diagonalisation/DiagUtils.hpp
index 6cdd24b4ce..e24cd0d51e 100644
--- a/tket/include/tket/Diagonalisation/DiagUtils.hpp
+++ b/tket/include/tket/Diagonalisation/DiagUtils.hpp
@@ -18,18 +18,11 @@
 
 namespace tket {
 
-struct cmp_tensors {
-  bool operator()(
-      const QubitPauliTensor &qps1, const QubitPauliTensor &qps2) const {
-    return (qps1.string < qps2.string);
-  }
-};
-
 /**
  * QubitOperator, defined to be useful for diagonalisation and
  * partitioning.
  */
-typedef std::map<QubitPauliTensor, Expr, cmp_tensors> QubitOperator;
+typedef std::map<SpPauliString, Expr> QubitOperator;
 
 void insert_into_gadget_map(
     QubitOperator &gadget_map, const PauliGadgetProperties &pgp);
diff --git a/tket/include/tket/Diagonalisation/Diagonalisation.hpp b/tket/include/tket/Diagonalisation/Diagonalisation.hpp
index a8dc4523dd..aa66d8f370 100644
--- a/tket/include/tket/Diagonalisation/Diagonalisation.hpp
+++ b/tket/include/tket/Diagonalisation/Diagonalisation.hpp
@@ -25,8 +25,8 @@ namespace tket {
  * qubit Clifford to make all Paulis I or Z
  */
 void check_easy_diagonalise(
-    std::list<std::pair<QubitPauliTensor, Expr>> &gadgets,
-    std::set<Qubit> &qubits, Circuit &circ);
+    std::list<SpSymPauliTensor> &gadgets, std::set<Qubit> &qubits,
+    Circuit &circ);
 
 /**
  * Given two qubits, attempt to find a basis in which a single CX will
@@ -34,7 +34,7 @@ void check_easy_diagonalise(
  */
 std::optional<std::pair<Pauli, Pauli>> check_pair_compatibility(
     const Qubit &qb1, const Qubit &qb2,
-    const std::list<std::pair<QubitPauliTensor, Expr>> &gadgets);
+    const std::list<SpSymPauliTensor> &gadgets);
 
 /**
  * Diagonalise a qubit greedily by finding the Pauli Gadget with
@@ -42,9 +42,8 @@ std::optional<std::pair<Pauli, Pauli>> check_pair_compatibility(
  * single qubit Cliffords and CXs to make it a `ZIII...I` string
  */
 void greedy_diagonalise(
-    const std::list<std::pair<QubitPauliTensor, Expr>> &gadgets,
-    std::set<Qubit> &qubits, Conjugations &conjugations, Circuit &circ,
-    CXConfigType cx_config);
+    const std::list<SpSymPauliTensor> &gadgets, std::set<Qubit> &qubits,
+    Conjugations &conjugations, Circuit &circ, CXConfigType cx_config);
 
 /**
  * Diagonalise a mutually commuting set of Pauli strings. Modifies the
@@ -52,13 +51,13 @@ void greedy_diagonalise(
  * required to generate the initial set.
  */
 Circuit mutual_diagonalise(
-    std::list<std::pair<QubitPauliTensor, Expr>> &gadgets,
-    std::set<Qubit> qubits, CXConfigType cx_config);
+    std::list<SpSymPauliTensor> &gadgets, std::set<Qubit> qubits,
+    CXConfigType cx_config);
 /**
- * Applies Clifford conjugations to a QubitPauliTensor
+ * Applies Clifford conjugations to a SpSymPauliTensor
  */
 void apply_conjugations(
-    QubitPauliTensor &qps, const Conjugations &conjugations);
+    SpSymPauliTensor &qps, const Conjugations &conjugations);
 
 /**
  *  Given two qubits on which to conjugate a CX gate, try to conjugate with a
diff --git a/tket/include/tket/Diagonalisation/PauliPartition.hpp b/tket/include/tket/Diagonalisation/PauliPartition.hpp
index 6f7a17f69c..37a64b7f3a 100644
--- a/tket/include/tket/Diagonalisation/PauliPartition.hpp
+++ b/tket/include/tket/Diagonalisation/PauliPartition.hpp
@@ -32,7 +32,7 @@ class UnknownPauliPartitionStrat : public std::logic_error {
  */
 
 typedef boost::adjacency_list<
-    boost::vecS, boost::vecS, boost::undirectedS, QubitPauliString>
+    boost::vecS, boost::vecS, boost::undirectedS, SpPauliString>
     PauliACGraph;
 
 typedef boost::graph_traits<PauliACGraph>::vertex_descriptor PauliACVertex;
@@ -83,10 +83,10 @@ enum class GraphColourMethod {
 class PauliPartitionerGraph {
  public:
   explicit PauliPartitionerGraph(
-      const std::list<QubitPauliString>& strings, PauliPartitionStrat strat);
+      const std::list<SpPauliString>& strings, PauliPartitionStrat strat);
 
   // KEY: the colour  VALUE: all the Pauli strings assigned that colour.
-  std::map<unsigned, std::list<QubitPauliString>> partition_paulis(
+  std::map<unsigned, std::list<SpPauliString>> partition_paulis(
       GraphColourMethod method) const;
 
  private:
@@ -95,12 +95,12 @@ class PauliPartitionerGraph {
 
 /**
  * Partitions a QubitOperator into lists of mutually commuting gadgets.
- * Assumes that each `QubitPauliString` is unique and does not attempt
+ * Assumes that each `SpPauliString` is unique and does not attempt
  * to combine them. If it is given non-unique tensors it will produce
  * inefficient results.
  */
-std::list<std::list<QubitPauliString>> term_sequence(
-    const std::list<QubitPauliString>& strings, PauliPartitionStrat strat,
+std::list<std::list<SpPauliString>> term_sequence(
+    const std::list<SpPauliString>& strings, PauliPartitionStrat strat,
     GraphColourMethod method = GraphColourMethod::Lazy);
 
 }  // namespace tket
diff --git a/tket/include/tket/MeasurementSetup/MeasurementReduction.hpp b/tket/include/tket/MeasurementSetup/MeasurementReduction.hpp
index b713ce2308..1b2163c512 100644
--- a/tket/include/tket/MeasurementSetup/MeasurementReduction.hpp
+++ b/tket/include/tket/MeasurementSetup/MeasurementReduction.hpp
@@ -29,7 +29,7 @@ namespace tket {
  * https://arxiv.org/abs/1908.06942, https://arxiv.org/abs/1907.03358
  */
 MeasurementSetup measurement_reduction(
-    const std::list<QubitPauliString>& strings, PauliPartitionStrat strat,
+    const std::list<SpPauliString>& strings, PauliPartitionStrat strat,
     GraphColourMethod method = GraphColourMethod::Lazy,
     CXConfigType cx_config = CXConfigType::Snake);
 
diff --git a/tket/include/tket/MeasurementSetup/MeasurementSetup.hpp b/tket/include/tket/MeasurementSetup/MeasurementSetup.hpp
index a2744c9a9f..1b2909d932 100644
--- a/tket/include/tket/MeasurementSetup/MeasurementSetup.hpp
+++ b/tket/include/tket/MeasurementSetup/MeasurementSetup.hpp
@@ -16,7 +16,7 @@
 
 #include "tket/Circuit/Circuit.hpp"
 #include "tket/Utils/Json.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 
 namespace tket {
 
@@ -55,12 +55,12 @@ class MeasurementSetup {
     std::string to_str() const;
   };
   struct QPSHasher {
-    std::size_t operator()(const QubitPauliString &qps) const {
-      return hash_value(qps);
+    std::size_t operator()(const SpPauliString &qps) const {
+      return qps.hash_value();
     }
   };
   typedef std::unordered_map<
-      QubitPauliString, std::vector<MeasurementBitMap>, QPSHasher>
+      SpPauliString, std::vector<MeasurementBitMap>, QPSHasher>
       measure_result_map_t;
 
   const std::vector<Circuit> &get_circs() const { return measurement_circs; }
@@ -68,13 +68,7 @@ class MeasurementSetup {
 
   void add_measurement_circuit(const Circuit &circ);
   void add_result_for_term(
-      const QubitPauliString &term, const MeasurementBitMap &result);
-  /**
-   * Rejects the coefficient in the QubitPauliTensor. Used for
-   * convenience at the C++ level, and should not be exposed.
-   */
-  void add_result_for_term(
-      const QubitPauliTensor &term, const MeasurementBitMap &result);
+      const SpPauliString &term, const MeasurementBitMap &result);
   /**
    * Checks that the tensors to be measured correspond to the
    * correct tensors generated by the measurement circs. Includes
diff --git a/tket/include/tket/Ops/Op.hpp b/tket/include/tket/Ops/Op.hpp
index f8784bb063..ef23176101 100644
--- a/tket/include/tket/Ops/Op.hpp
+++ b/tket/include/tket/Ops/Op.hpp
@@ -32,9 +32,10 @@
 #include "tket/OpType/OpTypeFunctions.hpp"
 #include "tket/OpType/OpTypeInfo.hpp"
 #include "tket/Utils/Constants.hpp"
+#include "tket/Utils/EigenConfig.hpp"
 #include "tket/Utils/Expression.hpp"
 #include "tket/Utils/Json.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 #include "tket/Utils/UnitID.hpp"
 
 namespace tket {
diff --git a/tket/include/tket/PauliGraph/ConjugatePauliFunctions.hpp b/tket/include/tket/PauliGraph/ConjugatePauliFunctions.hpp
index 724cc26e63..cef3088298 100644
--- a/tket/include/tket/PauliGraph/ConjugatePauliFunctions.hpp
+++ b/tket/include/tket/PauliGraph/ConjugatePauliFunctions.hpp
@@ -15,7 +15,7 @@
 #pragma once
 
 #include "tket/OpType/OpType.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 
 namespace tket {
 
@@ -28,18 +28,18 @@ std::pair<Pauli, bool> conjugate_Pauli(
     OpType op, Pauli p, bool reverse = false);
 
 /**
- * Methods to conjugate a QubitPauliTensor with Clifford gates to
+ * Methods to conjugate a SpPauliStabiliser with Clifford gates to
  * change basis
  * Transforms P to P' such that
  * reverse = false : --P'-- = --op--P--opdg--
  * reverse = true  : --P'-- = --opdg--P--op--
  */
 void conjugate_PauliTensor(
-    QubitPauliTensor &qpt, OpType op, const Qubit &q, bool reverse = false);
+    SpPauliStabiliser &qpt, OpType op, const Qubit &q, bool reverse = false);
 void conjugate_PauliTensor(
-    QubitPauliTensor &qpt, OpType op, const Qubit &q0, const Qubit &q1);
+    SpPauliStabiliser &qpt, OpType op, const Qubit &q0, const Qubit &q1);
 void conjugate_PauliTensor(
-    QubitPauliTensor &qpt, OpType op, const Qubit &q0, const Qubit &q1,
+    SpPauliStabiliser &qpt, OpType op, const Qubit &q0, const Qubit &q1,
     const Qubit &qb2);
 
 }  // namespace tket
diff --git a/tket/include/tket/PauliGraph/PauliGraph.hpp b/tket/include/tket/PauliGraph/PauliGraph.hpp
index 44e1be3316..135729094a 100644
--- a/tket/include/tket/PauliGraph/PauliGraph.hpp
+++ b/tket/include/tket/PauliGraph/PauliGraph.hpp
@@ -20,14 +20,14 @@
 #include "tket/Clifford/UnitaryTableau.hpp"
 #include "tket/Utils/Expression.hpp"
 #include "tket/Utils/GraphHeaders.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 #include "tket/Utils/SequencedContainers.hpp"
 
 namespace tket {
 class Gate;
 
 struct PauliGadgetProperties {
-  QubitPauliTensor tensor_;
+  SpPauliStabiliser tensor_;
   Expr angle_;
 };
 
@@ -146,7 +146,7 @@ class PauliGraph {
    * tableau.
    */
   void apply_pauli_gadget_at_end(
-      const QubitPauliTensor &pauli, const Expr &angle);
+      const SpPauliStabiliser &pauli, const Expr &angle);
 };
 
 }  // namespace tket
diff --git a/tket/include/tket/Utils/PauliStrings.hpp b/tket/include/tket/Utils/PauliStrings.hpp
deleted file mode 100644
index 5d0393b871..0000000000
--- a/tket/include/tket/Utils/PauliStrings.hpp
+++ /dev/null
@@ -1,571 +0,0 @@
-// Copyright 2019-2023 Cambridge Quantum Computing
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-//     http://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-#pragma once
-
-#include <map>
-#include <set>
-#include <string>
-#include <utility>
-#include <vector>
-
-#include "tket/Utils/Constants.hpp"
-#include "tket/Utils/EigenConfig.hpp"
-#include "tket/Utils/Json.hpp"
-#include "tket/Utils/UnitID.hpp"
-namespace tket {
-
-/** Pauli not supported */
-class UnknownPauli : public std::logic_error {
- public:
-  UnknownPauli()
-      : std::logic_error("Unknown Pauli. This code should be unreachable!") {}
-};
-/** OpType not supported */
-class UnknownOpType : public std::logic_error {
- public:
-  UnknownOpType()
-      : std::logic_error(
-            "Unknown OpType received when applying conjugations.") {}
-};
-
-class UnknownCXConfigType : public std::logic_error {
- public:
-  UnknownCXConfigType()
-      : std::logic_error(
-            "Unknown CXConfigType received when decomposing gadget.") {}
-};
-
-class NonDefaultQubit : public std::logic_error {
- public:
-  NonDefaultQubit()
-      : std::logic_error("Only default register Qubits are supported.") {}
-};
-
-typedef Eigen::SparseMatrix<Complex, Eigen::ColMajor> CmplxSpMat;
-
-/** Symbols for the Pauli operators (and identity) */
-enum Pauli { I, X, Y, Z };
-
-NLOHMANN_JSON_SERIALIZE_ENUM(
-    Pauli, {
-               {Pauli::I, "I"},
-               {Pauli::X, "X"},
-               {Pauli::Y, "Y"},
-               {Pauli::Z, "Z"},
-           });
-
-/**
- * Whenever a decomposition choice of Pauli gadgets is presented,
- * users may use either Snake (a.k.a. cascade, ladder), Tree (i.e. CX
- * balanced tree) or Star (i.e. CXs target a common qubit).
- */
-enum class CXConfigType { Snake, Tree, Star, MultiQGate };
-
-NLOHMANN_JSON_SERIALIZE_ENUM(
-    CXConfigType, {{CXConfigType::Snake, "Snake"},
-                   {CXConfigType::Tree, "Tree"},
-                   {CXConfigType::Star, "Star"},
-                   {CXConfigType::MultiQGate, "MultiQGate"}});
-
-typedef std::map<Qubit, Pauli> QubitPauliMap;
-
-/**
- * A string of Pauli letters from the alphabet {I, X, Y, Z},
- * implemented as a sparse list, indexed by qubit
- */
-class QubitPauliString {
- public:
-  QubitPauliMap map;
-
-  /**
-   * Construct an identity map
-   */
-  QubitPauliString() : map() {}
-
-  /**
-   * Construct a single Pauli term
-   */
-  QubitPauliString(const Qubit &qubit, Pauli p) : map({{qubit, p}}) {}
-
-  /**
-   * Construct a string of many Pauli terms. Shortcut to make a
-   * string for a default qubit register, without explicitly
-   * constructing the QubitPauliMap
-   *
-   * @param _paulis initializer_list of Pauli letters
-   */
-  explicit QubitPauliString(const std::initializer_list<Pauli> &_paulis);
-
-  /**
-   * Construct a string of many Pauli terms. Shortcut to make a
-   * string for a default qubit register, without explicitly
-   * constructing the QubitPauliMap
-   *
-   * @param _paulis list of Pauli letters
-   */
-  explicit QubitPauliString(const std::list<Pauli> &_paulis);
-
-  /**
-   * Construct a string of many Pauli terms. Shortcut to make a
-   * string for a default qubit register, without explicitly
-   * constructing the QubitPauliMap
-   *
-   * @param _paulis vector of Pauli letters
-   */
-  explicit QubitPauliString(const std::vector<Pauli> &_paulis);
-
-  /**
-   * Construct several terms from lists
-   * (useful for python hackery, and therefore not extended to QubitPauliTensor,
-   * which is not exposed to python)
-   *
-   * @param qubits list of Qubits with corresponding Paulis
-   * @param paulis Pauli letters
-   */
-  QubitPauliString(
-      const std::list<Qubit> &qubits, const std::list<Pauli> &paulis);
-
-  /**
-   * Construct a string of many Pauli terms
-   *
-   * @param _map sparse representation of the full tensor
-   */
-  explicit QubitPauliString(const QubitPauliMap &_map) : map(_map) {}
-
-  /**
-   * Determine whether two strings are equivalent (ignoring I terms)
-   *
-   * @param other second string
-   *
-   * @return true iff *this and other represent the same numerical tensor
-   */
-  bool operator==(const QubitPauliString &other) const;
-
-  /**
-   * Determine whether two strings are not equivalent (ignoring I terms)
-   *
-   * @param other second string
-   *
-   * @return true iff *this and other represent different numerical tensors
-   */
-  bool operator!=(const QubitPauliString &other) const;
-
-  /**
-   * Determine the lexicographic ordering of two strings.
-   * Ignores I terms.
-   * Orders individual terms by the ordering of Qubits.
-   *
-   * @param other other string
-   *
-   * @return true iff *this orders strictly before other
-   */
-  bool operator<(const QubitPauliString &other) const;
-
-  /**
-   * Compares the lexicographical ordering of two strings.
-   * Ignores I terms.
-   * Ordered individual terms by the ordering of Qubits.
-   *
-   * @param other other string
-   *
-   * @returns -1 if *this orders strictly before other
-   * @returns 0 if *this and other represent the same numerical tensor
-   * @returns 1 if *this orders strictly after other
-   */
-  int compare(const QubitPauliString &other) const;
-
-  /**
-   * Removes I terms to compress the sparse representation.
-   */
-  void compress();
-
-  /**
-   * Determines whether or not two strings commute.
-   *
-   * @param other String to compare this to
-   *
-   * @return true if \p other commutes with this
-   * @return false if \p other anti-commutes with this
-   */
-  bool commutes_with(const QubitPauliString &other) const;
-
-  /**
-   * Finds qubits with the same (non-trivial) Pauli term.
-   *
-   * @param other String to compare this to
-   *
-   * @return All qubits q where this->map[q] == other.map[q] != I
-   */
-  std::set<Qubit> common_qubits(const QubitPauliString &other) const;
-
-  /**
-   * Finds qubits that only occur in this string.
-   *
-   * @param other String to compare this to
-   *
-   * @return All qubits q where this->map[q] != I and other.map[q] == I
-   */
-  std::set<Qubit> own_qubits(const QubitPauliString &other) const;
-
-  /**
-   * Finds qubits with different (non-trivial) Pauli terms.
-   *
-   * @param other String to compare this to
-   *
-   * @return All qubits q where I != this->map[q] != other.map[q] != I
-   */
-  std::set<Qubit> conflicting_qubits(const QubitPauliString &other) const;
-
-  /**
-   * Readable string for sparse operator
-   */
-  std::string to_str() const;
-
-  /**
-   * Gets Pauli for a given Qubit
-   *
-   * @param q Qubit to lookup
-   *
-   * @return this->map[q] if defined, Pauli::I otherwise
-   */
-  Pauli get(const Qubit &q) const;
-
-  /**
-   * Updates this->map[q] to p
-   *
-   * @param q Qubit to update
-   * @param p Pauli to set this->map[q] = p
-   */
-  void set(const Qubit &q, Pauli p);
-
-  /**
-   * Hash method, required for top-level python. Does not
-   * distinguish between equivalent Strings, i.e. ignores I terms.
-   */
-  friend std::size_t hash_value(const QubitPauliString &qps);
-
-  /**
-   * Calculate a sparse matrix corresponding to this string.
-   *
-   * @param n_qubits Number of qubits the string covers
-   *
-   * @return A complex sparse matrix corresponding to the n_qubit operator
-   */
-
-  CmplxSpMat to_sparse_matrix() const;
-  CmplxSpMat to_sparse_matrix(const unsigned n_qubits) const;
-  CmplxSpMat to_sparse_matrix(const qubit_vector_t &qubits) const;
-
-  Eigen::VectorXcd dot_state(const Eigen::VectorXcd &state) const;
-  Eigen::VectorXcd dot_state(
-      const Eigen::VectorXcd &state, const qubit_vector_t &qubits) const;
-
-  Complex state_expectation(const Eigen::VectorXcd &state) const;
-  Complex state_expectation(
-      const Eigen::VectorXcd &state, const qubit_vector_t &qubits) const;
-};
-
-JSON_DECL(QubitPauliString);
-
-// a sum of QubitPauliString with complex coefficients
-typedef std::vector<std::pair<QubitPauliString, Complex>> OperatorSum;
-
-/**
- * A simple struct for Pauli strings with +/- phase,
- * used to represent Pauli strings in a stabiliser subgroup
- */
-struct PauliStabiliser {
-  std::vector<Pauli> string;
-
-  /** true -> 1
-   *  false -> -1
-   */
-  bool coeff;
-
-  PauliStabiliser() {}
-
-  PauliStabiliser(const std::vector<Pauli> string, const bool coeff);
-
-  /**
-   * Determine whether two PauliStabilisers are equivalent
-   *
-   * @param other second PauliStabiliser
-   *
-   * @return true iff *this and other represent PauliStabiliser
-   */
-  bool operator==(const PauliStabiliser &other) const;
-
-  /**
-   * Determine whether two PauliStabilisers are not equivalent
-   *
-   * @param other second PauliStabiliser
-   *
-   * @return true iff *this and other represent different PauliStabiliser
-   */
-  bool operator!=(const PauliStabiliser &other) const;
-};
-
-typedef std::vector<PauliStabiliser> PauliStabiliserList;
-
-JSON_DECL(PauliStabiliser)
-
-/**
- * Calculate a sparse matrix corresponding to a sum of QubitPauliString.
- *
- * @param total_operator Operator specified by sum of pauli strings
- * @param n_qubits Number of qubits the string covers
- *
- * @return A complex sparse matrix corresponding to the n_qubit operator
- */
-CmplxSpMat operator_tensor(
-    const OperatorSum &total_operator, unsigned n_qubits);
-CmplxSpMat operator_tensor(
-    const OperatorSum &total_operator, const qubit_vector_t &qubits);
-/**
- * Calculate expectation value of QubitPauliString with respect to a state.
- * <state|Operator|state>
- *
- * @param total_operator Operator specified by sum of pauli strings
- * @param state state, encoded by a complex vector
- *
- * @return Complex expectation value
- */
-Complex operator_expectation(
-    const OperatorSum &total_operator, const Eigen::VectorXcd &state);
-Complex operator_expectation(
-    const OperatorSum &total_operator, const Eigen::VectorXcd &state,
-    const qubit_vector_t &qubits);
-
-/**
- * A tensor of Pauli terms
- * \f$ P = i^k \sigma_1 \otimes \sigma_2 \otimes \cdots \otimes \sigma_n \f$.
- * This is a QubitPauliString but with an additional complex coefficient.
- */
-class QubitPauliTensor {
- public:
-  typedef std::map<std::pair<Pauli, Pauli>, std::pair<Complex, Pauli>>
-      Mult_Matrix;
-  static const Mult_Matrix &get_mult_matrix();
-
-  QubitPauliString string;
-  Complex coeff;
-
-  /**
-   * Construct an identity operator
-   */
-  QubitPauliTensor() : string(), coeff(1.) {}
-
-  /**
-   * Construct a constant multiple of the identity
-   */
-  explicit QubitPauliTensor(Complex _coeff) : string(), coeff(_coeff) {}
-
-  /**
-   * Construct a single Pauli term
-   */
-  QubitPauliTensor(const Qubit &qubit, Pauli p)
-      : string({{qubit, p}}), coeff(1.) {}
-
-  /**
-   * Construct a tensor of many Pauli terms. Shortcut to make a
-   * tensor for a default qubit register, without explicitly
-   * constructing the QubitPauliMap
-   *
-   * @param _paulis initializer_list of Pauli letters
-   */
-  explicit QubitPauliTensor(const std::initializer_list<Pauli> &_paulis)
-      : string({_paulis}), coeff(1.) {}
-
-  /**
-   * Construct a tensor of many Pauli terms. Shortcut to make a
-   * tensor for a default qubit register, without explicitly
-   * constructing the QubitPauliMap
-   *
-   * @param _paulis list of Pauli letters
-   */
-  explicit QubitPauliTensor(const std::list<Pauli> &_paulis)
-      : string({_paulis}), coeff(1.) {}
-
-  /**
-   * Construct a tensor of many Pauli terms. Shortcut to make a
-   * tensor for a default qubit register, without explicitly
-   * constructing the QubitPauliMap
-   *
-   * @param _paulis vector of Pauli letters
-   */
-  explicit QubitPauliTensor(const std::vector<Pauli> &_paulis)
-      : string({_paulis}), coeff(1.) {}
-
-  /**
-   * Construct a constant multiple of a single Pauli term
-   */
-  QubitPauliTensor(const Qubit &qubit, Pauli p, Complex _coeff)
-      : string({{qubit, p}}), coeff(_coeff) {}
-
-  /**
-   * Construct a tensor product of many Pauli terms
-   *
-   * @param _string sparse representation of the full tensor
-   */
-  explicit QubitPauliTensor(const QubitPauliString &_string)
-      : string(_string), coeff(1.) {}
-
-  /**
-   * Construct a tensor product of many Pauli terms
-   *
-   * @param _map sparse representation of the full tensor
-   */
-  explicit QubitPauliTensor(const QubitPauliMap &_map)
-      : string(_map), coeff(1.) {}
-
-  /**
-   * Construct an arbitrary QubitPauliTensor
-   *
-   * @param _string sparse representation of the full tensor
-   * @param _coeff complex coefficient
-   */
-  QubitPauliTensor(const QubitPauliString &_string, Complex _coeff)
-      : string(_string), coeff(_coeff) {}
-
-  /**
-   * Construct an arbitrary QubitPauliTensor
-   *
-   * @param _map sparse representation of the full tensor
-   * @param _coeff complex coefficient
-   */
-  QubitPauliTensor(const QubitPauliMap &_map, Complex _coeff)
-      : string(_map), coeff(_coeff) {}
-
-  /**
-   * Transpose as a tensor
-   * Since all Paulis are self-adjoint, this is the same as complex conjugate
-   * Adds a -1 phase if the string contains an odd number of Y's
-   */
-  void transpose();
-
-  /**
-   * Calculate the product of two tensors
-   *
-   * @param other second tensor
-   *
-   * @return *this x other
-   */
-  QubitPauliTensor operator*(const QubitPauliTensor &other) const;
-
-  /**
-   * Determine whether two tensors are equivalent (ignoring I terms)
-   *
-   * @param other second tensor
-   *
-   * @return true iff *this and other represent the same numerical tensor
-   */
-  bool operator==(const QubitPauliTensor &other) const;
-
-  /**
-   * Determine whether two tensors are not equivalent (ignoring I terms)
-   *
-   * @param other second tensor
-   *
-   * @return true iff *this and other represent different numerical tensors
-   */
-  bool operator!=(const QubitPauliTensor &other) const;
-
-  /**
-   * Determine the lexicographic ordering of two tensors.
-   * Ignores I terms.
-   * Orders individual terms by the ordering of Qubits.
-   * If two terms have equivalent tensors, they are ordered by coefficient
-   * (lexicographically according to the pair <real, imag>).
-   *
-   * @param other second tensor
-   *
-   * @return true iff *this orders strictly before other
-   */
-  bool operator<(const QubitPauliTensor &other) const;
-
-  /**
-   * Removes I terms to compress the sparse representation.
-   * Wrapper method for `QubitPauliString` method.
-   */
-  void compress();
-
-  /**
-   * Determines whether or not two tensor commute.
-   * Wrapper method for `QubitPauliString` method.
-   *
-   * @param other Tensor to compare this to
-   *
-   * @return true if \p other commutes with this
-   * @return false if \p other anti-commutes with this
-   */
-  bool commutes_with(const QubitPauliTensor &other) const;
-
-  /**
-   * Finds qubits with the same (non-trivial) Pauli term.
-   * Wrapper method for `QubitPauliString` method.
-   *
-   * @param other Tensor to compare this to
-   *
-   * @return All qubits q where this->string.map[q] == other.string.map[q] != I
-   */
-  std::set<Qubit> common_qubits(const QubitPauliTensor &other) const;
-
-  /**
-   * Finds qubits that only occur in this tensor.
-   * Wrapper method for `QubitPauliString` method.
-   *
-   * @param other Tensor to compare this to
-   *
-   * @return All qubits q where this->string.map[q] != I and other.string.map[q]
-   * == I
-   */
-  std::set<Qubit> own_qubits(const QubitPauliTensor &other) const;
-
-  /**
-   * Finds qubits with different (non-trivial) Pauli terms.
-   * Wrapper method for `QubitPauliString` method.
-   *
-   * @param other Tensor to compare this to
-   *
-   * @return All qubits q where I != this->string.map[q] != other.string.map[q]
-   * != I
-   */
-  std::set<Qubit> conflicting_qubits(const QubitPauliTensor &other) const;
-
-  /**
-   * Readable string for sparse operator
-   */
-  std::string to_str() const;
-
-  /**
-   * Hash method, required for top-level python. Does not
-   * distinguish between equivalent Strings, i.e. ignores I terms.
-   */
-  friend std::size_t hash_value(const QubitPauliTensor &qpt);
-};
-
-JSON_DECL(QubitPauliTensor);
-
-/**
- * Multiply coefficient by a scalar
- *
- * @param a scalar multiplier
- * @param qpt tensor
- *
- * @return result of the scalar multiplication
- */
-QubitPauliTensor operator*(Complex a, const QubitPauliTensor &qpt);
-
-}  // namespace tket
diff --git a/tket/include/tket/Utils/PauliTensor.hpp b/tket/include/tket/Utils/PauliTensor.hpp
new file mode 100644
index 0000000000..393c13e8b4
--- /dev/null
+++ b/tket/include/tket/Utils/PauliTensor.hpp
@@ -0,0 +1,1051 @@
+// Copyright 2019-2023 Cambridge Quantum Computing
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#pragma once
+
+#include "tket/Utils/Constants.hpp"
+#include "tket/Utils/EigenConfig.hpp"
+#include "tket/Utils/Expression.hpp"
+#include "tket/Utils/Json.hpp"
+#include "tket/Utils/UnitID.hpp"
+
+namespace tket {
+
+/** Symbols for the Pauli operators (and identity) */
+enum Pauli { I, X, Y, Z };
+
+NLOHMANN_JSON_SERIALIZE_ENUM(
+    Pauli, {
+               {Pauli::I, "I"},
+               {Pauli::X, "X"},
+               {Pauli::Y, "Y"},
+               {Pauli::Z, "Z"},
+           });
+
+/**
+ * Whenever a decomposition choice of Pauli gadgets is presented,
+ * users may use either Snake (a.k.a. cascade, ladder), Tree (i.e. CX
+ * balanced tree) or Star (i.e. CXs target a common qubit).
+ */
+enum class CXConfigType { Snake, Tree, Star, MultiQGate };
+
+NLOHMANN_JSON_SERIALIZE_ENUM(
+    CXConfigType, {{CXConfigType::Snake, "Snake"},
+                   {CXConfigType::Tree, "Tree"},
+                   {CXConfigType::Star, "Star"},
+                   {CXConfigType::MultiQGate, "MultiQGate"}});
+
+typedef Eigen::SparseMatrix<Complex, Eigen::ColMajor> CmplxSpMat;
+
+/*******************************************************************************
+ * SCALAR COEFFICIENTS
+ ******************************************************************************/
+
+/**
+ * A trivial option for PauliTensor to represent Pauli strings up to global
+ * scalar.
+ *
+ * Treated as +1 for casting to other coefficients and matrix evaluation.
+ */
+struct no_coeff_t {};
+
+JSON_DECL(no_coeff_t)
+
+/**
+ * A fourth root of unity {1, i, -1, -i}, represented as an unsigned integer
+ * giving the power of i.
+ *
+ * E.g. val % 4:
+ * 0: +1
+ * 1: +i
+ * 2: -1
+ * 3: -i
+ *
+ * These are the phase coefficients generated in the Pauli group. Whilst
+ * stabilisers are restricted to {1, -1}, the imaginary numbers are required for
+ * closure under multiplication. For settings where a real value is needed, use
+ * PauliTensor::is_real_negative() which asserts the value is real (throws an
+ * exception otherwise) and returns a bool value to distinguish.
+ */
+typedef unsigned quarter_turns_t;
+
+/**
+ * Other options for scalar coefficients include:
+ *
+ * Complex; floating-point complex number. Mostly used by the python binder to
+ * present a phaseful interface with guaranteed success on converting to a
+ * sparse matrix.
+ *
+ * Expr; a symbolic expression for a (possibly complex) coefficient. This tends
+ * to be used in the context of Pauli exponentials of tracking the rotation
+ * angle (along with its phase), where such synthesis functions map cP to
+ * exp(i*cP*pi/2) (i.e. the coefficient is the angle of rotation in half-turns).
+ */
+
+/**
+ * Returns the default coefficient value (scalar 1) for each coefficient type.
+ *
+ * @retval {} (no_coeff_t)
+ * @retval 0 (quarter_turns_t)
+ * @retval 1. (Complex)
+ * @retval 1 (Expr)
+ */
+template <typename CoeffType>
+CoeffType default_coeff() = delete;
+template <>
+no_coeff_t default_coeff<no_coeff_t>();
+template <>
+quarter_turns_t default_coeff<quarter_turns_t>();
+template <>
+Complex default_coeff<Complex>();
+template <>
+Expr default_coeff<Expr>();
+
+/**
+ * Cast a coefficient to a different type.
+ *
+ * Casting to no_coeff_t just drops the coefficient to focus on the string.
+ * Casting from no_coeff_t treats it as the scalar 1.
+ *
+ * Casting to quarter_turns_t throws an exception if value is not in the range
+ * {1, i, -1, -i}.
+ *
+ * Casting from Expr throws an exception if the coefficient is symbolic.
+ *
+ * @param coeff The coefficient to cast to another type.
+ */
+template <typename OriginalCoeff, typename NewCoeff>
+NewCoeff cast_coeff(const OriginalCoeff &coeff) = delete;
+template <>
+no_coeff_t cast_coeff<no_coeff_t, no_coeff_t>(const no_coeff_t &);
+template <>
+quarter_turns_t cast_coeff<no_coeff_t, quarter_turns_t>(const no_coeff_t &);
+template <>
+Complex cast_coeff<no_coeff_t, Complex>(const no_coeff_t &);
+template <>
+Expr cast_coeff<no_coeff_t, Expr>(const no_coeff_t &);
+template <>
+no_coeff_t cast_coeff<quarter_turns_t, no_coeff_t>(const quarter_turns_t &);
+template <>
+quarter_turns_t cast_coeff<quarter_turns_t, quarter_turns_t>(
+    const quarter_turns_t &coeff);
+template <>
+Complex cast_coeff<quarter_turns_t, Complex>(const quarter_turns_t &coeff);
+template <>
+Expr cast_coeff<quarter_turns_t, Expr>(const quarter_turns_t &coeff);
+template <>
+no_coeff_t cast_coeff<Complex, no_coeff_t>(const Complex &);
+template <>
+quarter_turns_t cast_coeff<Complex, quarter_turns_t>(const Complex &coeff);
+template <>
+Complex cast_coeff<Complex, Complex>(const Complex &coeff);
+template <>
+Expr cast_coeff<Complex, Expr>(const Complex &coeff);
+template <>
+no_coeff_t cast_coeff<Expr, no_coeff_t>(const Expr &);
+template <>
+quarter_turns_t cast_coeff<Expr, quarter_turns_t>(const Expr &coeff);
+template <>
+Complex cast_coeff<Expr, Complex>(const Expr &coeff);
+template <>
+Expr cast_coeff<Expr, Expr>(const Expr &coeff);
+
+/**
+ * Compare two coefficients of the same type with respect to an ordering.
+ *
+ * All values of no_coeff_t are equal.
+ * Values of quarter_turns_t are compared modulo 4.
+ * Values of Complex are compared lexicographically by the real part and then
+ * imaginary.
+ * Non-symbolic values of Expr are compared as Complex, symbolic
+ * values are compared by the canonical form of SymEngine expressions.
+ *
+ * @param first A coefficient.
+ * @param second Another coefficient of the same type.
+ * @retval -1 first < second
+ * @retval 0 first == second
+ * @retval 1 first > second
+ */
+template <typename CoeffType>
+int compare_coeffs(const CoeffType &first, const CoeffType &second) = delete;
+template <>
+int compare_coeffs<no_coeff_t>(const no_coeff_t &, const no_coeff_t &);
+template <>
+int compare_coeffs<quarter_turns_t>(
+    const quarter_turns_t &first, const quarter_turns_t &second);
+template <>
+int compare_coeffs<Complex>(const Complex &first, const Complex &second);
+template <>
+int compare_coeffs<Expr>(const Expr &first, const Expr &second);
+
+template <typename CoeffType>
+void print_coeff(std::ostream &os, const CoeffType &coeff) = delete;
+
+/**
+ * Generates the coefficient prefix for PauliTensor::to_str()
+ */
+template <>
+void print_coeff<no_coeff_t>(std::ostream &, const no_coeff_t &);
+template <>
+void print_coeff<quarter_turns_t>(
+    std::ostream &os, const quarter_turns_t &coeff);
+template <>
+void print_coeff<Complex>(std::ostream &os, const Complex &coeff);
+template <>
+void print_coeff<Expr>(std::ostream &os, const Expr &coeff);
+
+/**
+ * Hash a coefficient, combining it with an existing hash of another structure.
+ */
+template <typename CoeffType>
+void hash_combine_coeff(std::size_t &seed, const CoeffType &coeff) = delete;
+template <>
+void hash_combine_coeff<no_coeff_t>(std::size_t &, const no_coeff_t &);
+template <>
+void hash_combine_coeff<quarter_turns_t>(
+    std::size_t &seed, const quarter_turns_t &coeff);
+template <>
+void hash_combine_coeff<Complex>(std::size_t &seed, const Complex &coeff);
+template <>
+void hash_combine_coeff<Expr>(std::size_t &seed, const Expr &coeff);
+
+/**
+ * Multiply together two coefficients of the same type.
+ *
+ * Multiplication of no_coeff_t is trivial.
+ * Multiplication of quarter_turns_t adds the unsigned values (e^{i*a*pi/2} *
+ * e^{i*b*pi/2} = e^{i*(a+b)*pi/2}). Multiplication of Complex/Expr is standard
+ * multiplication.
+ */
+template <typename CoeffType>
+CoeffType multiply_coeffs(const CoeffType &first, const CoeffType &second) =
+    delete;
+template <>
+no_coeff_t multiply_coeffs<no_coeff_t>(const no_coeff_t &, const no_coeff_t &);
+template <>
+quarter_turns_t multiply_coeffs<quarter_turns_t>(
+    const quarter_turns_t &first, const quarter_turns_t &second);
+template <>
+Complex multiply_coeffs<Complex>(const Complex &first, const Complex &second);
+template <>
+Expr multiply_coeffs<Expr>(const Expr &first, const Expr &second);
+
+/*******************************************************************************
+ * PAULI CONTAINERS
+ ******************************************************************************/
+
+/**
+ * A sparse, Qubit-indexed Pauli container.
+ *
+ * A QubitPauliMap is generally treated the same as if all Pauli::I entries were
+ * removed.
+ */
+typedef std::map<Qubit, Pauli> QubitPauliMap;
+
+/**
+ * A dense, unsigned-indexed Pauli container.
+ *
+ * A DensePauliMap is generally treated the same regardless of any Pauli::Is
+ * padded at the end. Each qubit index is treated as the corresponding Qubit id
+ * from the default register.
+ *
+ * In future work, it may be interesting to consider
+ * a symplectic representation (representing each Pauli by a pair of bits
+ * representing X and Z) for both speed and memory efficiency.
+ */
+typedef std::vector<Pauli> DensePauliMap;
+
+/**
+ * Cast between two different Pauli container types.
+ *
+ * Casting into a type with restricted indices (e.g. DensePauliMap expecting
+ * default register qubits) may throw an exception.
+ *
+ * @param cont The Pauli container to convert to another type.
+ */
+template <typename OriginalContainer, typename NewContainer>
+NewContainer cast_container(const OriginalContainer &cont) = delete;
+template <>
+QubitPauliMap cast_container<QubitPauliMap, QubitPauliMap>(
+    const QubitPauliMap &cont);
+template <>
+QubitPauliMap cast_container<DensePauliMap, QubitPauliMap>(
+    const DensePauliMap &cont);
+template <>
+DensePauliMap cast_container<QubitPauliMap, DensePauliMap>(
+    const QubitPauliMap &cont);
+template <>
+DensePauliMap cast_container<DensePauliMap, DensePauliMap>(
+    const DensePauliMap &cont);
+
+/**
+ * Compare two Pauli containers of the same type for ordering.
+ *
+ * Individual Paulis are ordered alphabetically as I < X < Y < Z.
+ * Strings are ordered lexicographically, IZ < ZI (Zq[1] < Zq[0]).
+ *
+ * @param first A Pauli container
+ * @param second Another Pauli container of the same type.
+ * @retval -1 first < second
+ * @retval 0 first == second
+ * @retval 1 first > second
+ */
+template <typename PauliContainer>
+int compare_containers(
+    const PauliContainer &first, const PauliContainer &second) = delete;
+template <>
+int compare_containers<QubitPauliMap>(
+    const QubitPauliMap &first, const QubitPauliMap &second);
+template <>
+int compare_containers<DensePauliMap>(
+    const DensePauliMap &first, const DensePauliMap &second);
+
+/**
+ * Find the set of Qubits on which \p first and \p second have the same
+ * non-trivial Pauli (X, Y, Z).
+ */
+std::set<Qubit> common_qubits(
+    const QubitPauliMap &first, const QubitPauliMap &second);
+
+/**
+ * Find the set of qubits (as unsigned integer indices) on which \p first and \p
+ * second have the same non-trivial Pauli (X, Y, Z).
+ */
+std::set<unsigned> common_indices(
+    const DensePauliMap &first, const DensePauliMap &second);
+
+/**
+ * Find the set of Qubits on which \p first has a non-trivial Pauli (X, Y, Z)
+ * but \p second either doesn't contain or maps to I.
+ */
+std::set<Qubit> own_qubits(
+    const QubitPauliMap &first, const QubitPauliMap &second);
+
+/**
+ * Find the set of qubits (as unsigned integer indices) on which \p first has a
+ * non-trivial Pauli (X, Y, Z) but \p second either doesn't contain (>= size) or
+ * maps to I.
+ */
+std::set<unsigned> own_indices(
+    const DensePauliMap &first, const DensePauliMap &second);
+
+/**
+ * Find the set of Qubits on which \p first and \p second have distinct
+ * non-trivial Paulis (X, Y, Z).
+ */
+std::set<Qubit> conflicting_qubits(
+    const QubitPauliMap &first, const QubitPauliMap &second);
+
+/**
+ * Find the set of qubits (as unsigned integer indices) on which \p first and \p
+ * second have distinct non-trivial Paulis (X, Y, Z).
+ */
+std::set<unsigned> conflicting_indices(
+    const DensePauliMap &first, const DensePauliMap &second);
+
+/**
+ * Return whether two Pauli containers commute as Pauli strings (there are an
+ * even number of qubits on which they have distinct non-trivial Paulis).
+ */
+template <typename PauliContainer>
+bool commuting_containers(
+    const PauliContainer &first, const PauliContainer &second) = delete;
+template <>
+bool commuting_containers<QubitPauliMap>(
+    const QubitPauliMap &first, const QubitPauliMap &second);
+template <>
+bool commuting_containers<DensePauliMap>(
+    const DensePauliMap &first, const DensePauliMap &second);
+
+/**
+ * Generates the readable Pauli string portion of PauliTensor::to_str().
+ *
+ * Dense strings are printed as e.g. XIYZ.
+ * Sparse strings are printed as e.g. (Xq[0], Yq[2], Zq[3]).
+ */
+template <typename PauliContainer>
+void print_paulis(std::ostream &os, const PauliContainer &paulis) = delete;
+template <>
+void print_paulis<QubitPauliMap>(std::ostream &os, const QubitPauliMap &paulis);
+template <>
+void print_paulis<DensePauliMap>(std::ostream &os, const DensePauliMap &paulis);
+
+/**
+ * Hash a Pauli container, combining it with an existing hash of another
+ * structure.
+ */
+template <typename PauliContainer>
+void hash_combine_paulis(std::size_t &seed, const PauliContainer &paulis) =
+    delete;
+template <>
+void hash_combine_paulis<QubitPauliMap>(
+    std::size_t &seed, const QubitPauliMap &paulis);
+template <>
+void hash_combine_paulis<DensePauliMap>(
+    std::size_t &seed, const DensePauliMap &paulis);
+
+/**
+ * Return the number of Pauli::Ys in the container. Used for
+ * PauliTensor::transpose().
+ */
+template <typename PauliContainer>
+unsigned n_ys(const PauliContainer &paulis) = delete;
+template <>
+unsigned n_ys<QubitPauliMap>(const QubitPauliMap &paulis);
+template <>
+unsigned n_ys<DensePauliMap>(const DensePauliMap &paulis);
+
+/**
+ * Returns a const reference to a lookup table for multiplying individual
+ * Paulis.
+ *
+ * Maps {p0, p1} -> {k, p2} where p0*p1 = e^{i*k*pi/2}*p2, e.g. {Pauli::X,
+ * Pauli::Y} -> {1, Pauli::Z} (X*Y = iZ).
+ */
+const std::map<std::pair<Pauli, Pauli>, std::pair<quarter_turns_t, Pauli>> &
+get_mult_matrix();
+
+/**
+ * Multiplies two Pauli containers component-wise, returning both the resulting
+ * phase and string.
+ *
+ * Maps {P0, P1} -> {k, P2} where P0*P1 = e^{i*k*pi/2}*P2, e.g. {XIY, YZY} ->
+ * {1, ZZI} (XIY*YZY = iZZI).
+ */
+template <typename PauliContainer>
+std::pair<quarter_turns_t, PauliContainer> multiply_strings(
+    const PauliContainer &first, const PauliContainer &second) = delete;
+template <>
+std::pair<quarter_turns_t, QubitPauliMap> multiply_strings<QubitPauliMap>(
+    const QubitPauliMap &first, const QubitPauliMap &second);
+template <>
+std::pair<quarter_turns_t, DensePauliMap> multiply_strings<DensePauliMap>(
+    const DensePauliMap &first, const DensePauliMap &second);
+
+/**
+ * Evaluates a Pauli container to a sparse matrix describing the tensor product
+ * of each Pauli in the string.
+ *
+ * The matrix gives the operator in ILO-BE format, e.g. (Zq[0], Xq[1]):
+ * 0  1  0  0
+ * 1  0  0  0
+ * 0  0  0 -1
+ * 0  0 -1  0
+ *
+ * For sparse Pauli containers, just those qubits present in the container will
+ * be treated as part of the Pauli string (e.g. (Zq[1], Iq[2]) is treated as ZI
+ * since q[0] is ignored but q[2] is present in the string), so it is often
+ * preferred to use the other variants which explicitly provide the expected
+ * qubits.
+ */
+template <typename PauliContainer>
+CmplxSpMat to_sparse_matrix(const PauliContainer &paulis) = delete;
+template <>
+CmplxSpMat to_sparse_matrix<QubitPauliMap>(const QubitPauliMap &paulis);
+template <>
+CmplxSpMat to_sparse_matrix<DensePauliMap>(const DensePauliMap &paulis);
+
+/**
+ * Evaluates a Pauli container to a sparse matrix describing the tensor product
+ * of each Pauli in the string.
+ *
+ * Qubits are restricted to the default register, from q[0] to q[ \p n_qubits -
+ * 1], then presents the operator in ILO-BE format (if a sparse container
+ * contains Qubits outside of this range or not in the default register, an
+ * exception is thrown). E.g. (Zq[0]), 2:
+ * 1  0  0  0
+ * 0 -1  0  0
+ * 0  0  1  0
+ * 0  0  0 -1
+ */
+template <typename PauliContainer>
+CmplxSpMat to_sparse_matrix(const PauliContainer &paulis, unsigned n_qubits) =
+    delete;
+template <>
+CmplxSpMat to_sparse_matrix<QubitPauliMap>(
+    const QubitPauliMap &paulis, unsigned n_qubits);
+template <>
+CmplxSpMat to_sparse_matrix<DensePauliMap>(
+    const DensePauliMap &paulis, unsigned n_qubits);
+
+/**
+ * Evaluates a Pauli container to a sparse matrix describing the tensor product
+ * of each Pauli in the string.
+ *
+ * \p qubits dictates the order of the qubits in the tensor product, with the
+ * operator returned in Big Endian format. E.g. (Zq[0], Xq[1]), [q[1], q[0]]:
+ * 0  0  1  0
+ * 0  0  0 -1
+ * 1  0  0  0
+ * 0 -1  0  0
+ */
+template <typename PauliContainer>
+CmplxSpMat to_sparse_matrix(
+    const PauliContainer &paulis, const qubit_vector_t &qubits) = delete;
+template <>
+CmplxSpMat to_sparse_matrix<QubitPauliMap>(
+    const QubitPauliMap &paulis, const qubit_vector_t &qubits);
+template <>
+CmplxSpMat to_sparse_matrix<DensePauliMap>(
+    const DensePauliMap &paulis, const qubit_vector_t &qubits);
+
+/*******************************************************************************
+ * PauliTensor TEMPLATE CLASS
+ ******************************************************************************/
+
+/**
+ * PauliTensor<PauliContainer, CoeffType>
+ *
+ * A unified type for tensor products of Pauli operators, possibly with some
+ * global scalar coefficient. It is parameterised in two ways:
+ * - PauliContainer describes the data structure used to map qubits to Paulis.
+ * This may be sparse or dense, and indexed by arbitrary Qubits or unsigneds
+ * (referring to indices in the default register).
+ * - CoeffType describes the kind of coefficient stored, ranging from no data to
+ * restricted values, to symbolic expressions.
+ *
+ * Each implementation should be interoperable by casting. Some methods may only
+ * be available for certain specialisations.
+ */
+template <typename PauliContainer, typename CoeffType>
+class PauliTensor {
+  static_assert(
+      std::is_same<PauliContainer, QubitPauliMap>::value ||
+          std::is_same<PauliContainer, DensePauliMap>::value,
+      "PauliTensor must be either dense or qubit-indexed.");
+  static_assert(
+      std::is_same<CoeffType, no_coeff_t>::value ||
+          std::is_same<CoeffType, quarter_turns_t>::value ||
+          std::is_same<CoeffType, Complex>::value ||
+          std::is_same<CoeffType, Expr>::value,
+      "PauliTensor must either support no coefficient, quarter turns, or "
+      "arbitrary complex (floating point or symbolic) coefficients.");
+
+  static const CoeffType default_coeff;
+
+ public:
+  PauliContainer string;
+  CoeffType coeff;
+
+  /**
+   * Default constructor, giving the empty Pauli string with unit scalar.
+   */
+  PauliTensor() : string(), coeff(default_coeff) {}
+
+  /**
+   * Constructor directly instantiating the Pauli string and coefficient.
+   */
+  PauliTensor(
+      const PauliContainer &_string, const CoeffType &_coeff = default_coeff)
+      : string(_string), coeff(_coeff) {}
+
+  /**
+   * Convenience constructor for an individual Pauli in a sparse representation.
+   */
+  template <typename PC = PauliContainer>
+  PauliTensor(
+      const Qubit &q, Pauli p, const CoeffType &_coeff = default_coeff,
+      typename std::enable_if<std::is_same<PC, QubitPauliMap>::value>::type * =
+          0)
+      : string({{q, p}}), coeff(_coeff) {}
+
+  /**
+   * Convenience constructor to immediately cast a dense Pauli string on the
+   * default register to a sparse representation.
+   */
+  template <typename PC = PauliContainer>
+  PauliTensor(
+      const DensePauliMap &_string, const CoeffType &_coeff = default_coeff,
+      typename std::enable_if<std::is_same<PC, QubitPauliMap>::value>::type * =
+          0)
+      : string(cast_container<DensePauliMap, QubitPauliMap>(_string)),
+        coeff(_coeff) {}
+
+  /**
+   * Constructor for sparse representations which zips together an ordered list
+   * of Qubits and Paulis.
+   */
+  template <typename PC = PauliContainer>
+  PauliTensor(
+      const std::list<Qubit> &qubits, const std::list<Pauli> &paulis,
+      const CoeffType &_coeff = default_coeff,
+      typename std::enable_if<std::is_same<PC, QubitPauliMap>::value>::type * =
+          0)
+      : string(), coeff(_coeff) {
+    if (qubits.size() != paulis.size()) {
+      throw std::logic_error(
+          "Mismatch of Qubits and Paulis upon QubitPauliString "
+          "construction");
+    }
+    std::list<Pauli>::const_iterator p_it = paulis.begin();
+    for (const Qubit &qb : qubits) {
+      Pauli p = *p_it;
+      if (string.find(qb) != string.end()) {
+        throw std::logic_error(
+            "Non-unique Qubit inserted into QubitPauliString map");
+      }
+      string[qb] = p;
+      ++p_it;
+    }
+  }
+
+  /**
+   * Casting operator between different specialisations of PauliTensor. Casts
+   * the Pauli container and coefficient separately.
+   */
+  template <typename CastContainer, typename CastCoeffType>
+  operator PauliTensor<CastContainer, CastCoeffType>() const {
+    return PauliTensor<CastContainer, CastCoeffType>(
+        cast_container<PauliContainer, CastContainer>(string),
+        cast_coeff<CoeffType, CastCoeffType>(coeff));
+  }
+
+  /**
+   * Compares two PauliTensors of the same type in lexicographical order by the
+   * Paulis first, then coefficients.
+   *
+   * Ordering rules for each of the Pauli containers or coefficient types may
+   * vary.
+   *
+   * @param other Another PauliTensor of the same type.
+   * @retval -1 this < other
+   * @retval 0 this == other
+   * @retval 1 this > other
+   */
+  int compare(const PauliTensor<PauliContainer, CoeffType> &other) const {
+    int cont_comp =
+        compare_containers<PauliContainer>(this->string, other.string);
+    if (cont_comp != 0) return cont_comp;
+    return compare_coeffs<CoeffType>(this->coeff, other.coeff);
+  }
+  bool operator==(const PauliTensor<PauliContainer, CoeffType> &other) const {
+    return (compare(other) == 0);
+  }
+  bool operator!=(const PauliTensor<PauliContainer, CoeffType> &other) const {
+    return !(*this == other);
+  }
+  bool operator<(const PauliTensor<PauliContainer, CoeffType> &other) const {
+    return compare(other) < 0;
+  }
+
+  /**
+   * Checks for equivalence of PauliTensors, explicitly taking the coefficient
+   * modulo \p n
+   *
+   * This is useful for treatment of Pauli exponentials, where the coefficient
+   * becomes the rotation angle under exponentiation and so is unchanged under
+   * some modulus.
+   */
+  template <typename CT = CoeffType>
+  typename std::enable_if<std::is_same<CT, Expr>::value, bool>::type equiv_mod(
+      const PauliTensor<PauliContainer, CoeffType> &other, unsigned n) const {
+    int cont_comp =
+        compare_containers<PauliContainer>(this->string, other.string);
+    return (cont_comp == 0) && equiv_expr(this->coeff, other.coeff, n);
+  }
+
+  /**
+   * Compress a sparse PauliTensor by removing identity terms.
+   */
+  template <typename PC = PauliContainer>
+  typename std::enable_if<std::is_same<PC, QubitPauliMap>::value>::type
+  compress() {
+    QubitPauliMap::iterator it = string.begin();
+    while (it != string.end()) {
+      if (it->second == Pauli::I)
+        it = string.erase(it);
+      else
+        ++it;
+    }
+  }
+
+  /**
+   * Checks commutation of two PauliTensors by evaluating how many Qubits have
+   * anti-commuting Paulis in the string.
+   */
+  template <typename OtherCoeffType>
+  bool commutes_with(
+      const PauliTensor<PauliContainer, OtherCoeffType> &other) const {
+    return commuting_containers<PauliContainer>(string, other.string);
+  }
+
+  /**
+   * Find the set of Qubits on which this and \p other have the same
+   * non-trivial Pauli (X, Y, Z).
+   */
+  template <typename OtherCoeffType, typename PC = PauliContainer>
+  typename std::enable_if<
+      std::is_same<PC, QubitPauliMap>::value, std::set<Qubit>>::type
+  common_qubits(
+      const PauliTensor<PauliContainer, OtherCoeffType> &other) const {
+    return tket::common_qubits(string, other.string);
+  }
+
+  /**
+   * Find the set of Qubits on which this has a non-trivial Pauli (X, Y, Z)
+   * but \p other either doesn't contain or maps to I.
+   */
+  template <typename OtherCoeffType, typename PC = PauliContainer>
+  typename std::enable_if<
+      std::is_same<PC, QubitPauliMap>::value, std::set<Qubit>>::type
+  own_qubits(const PauliTensor<PauliContainer, OtherCoeffType> &other) const {
+    return tket::own_qubits(string, other.string);
+  }
+
+  /**
+   * Find the set of Qubits on which this and \p other have distinct
+   * non-trivial Paulis (X, Y, Z).
+   */
+  template <typename OtherCoeffType, typename PC = PauliContainer>
+  typename std::enable_if<
+      std::is_same<PC, QubitPauliMap>::value, std::set<Qubit>>::type
+  conflicting_qubits(
+      const PauliTensor<PauliContainer, OtherCoeffType> &other) const {
+    return tket::conflicting_qubits(string, other.string);
+  }
+
+  /**
+   * Find the set of qubits (as unsigned integer indices) on which this and
+   * \p other have the same non-trivial Pauli (X, Y, Z).
+   */
+  template <typename OtherCoeffType, typename PC = PauliContainer>
+  typename std::enable_if<
+      std::is_same<PC, DensePauliMap>::value, std::set<unsigned>>::type
+  common_indices(
+      const PauliTensor<PauliContainer, OtherCoeffType> &other) const {
+    return tket::common_indices(string, other.string);
+  }
+
+  /**
+   * Find the set of qubits (as unsigned integer indices) on which this has a
+   * non-trivial Pauli (X, Y, Z) but \p other either doesn't contain (>= size)
+   * or maps to I.
+   */
+  template <typename OtherCoeffType, typename PC = PauliContainer>
+  typename std::enable_if<
+      std::is_same<PC, DensePauliMap>::value, std::set<unsigned>>::type
+  own_indices(const PauliTensor<PauliContainer, OtherCoeffType> &other) const {
+    return tket::own_indices(string, other.string);
+  }
+
+  /**
+   * Find the set of qubits (as unsigned integer indices) on which this and
+   * \p other have distinct non-trivial Paulis (X, Y, Z).
+   */
+  template <typename OtherCoeffType, typename PC = PauliContainer>
+  typename std::enable_if<
+      std::is_same<PC, DensePauliMap>::value, std::set<unsigned>>::type
+  conflicting_indices(
+      const PauliTensor<PauliContainer, OtherCoeffType> &other) const {
+    return tket::conflicting_indices(string, other.string);
+  }
+
+  /**
+   * Gets the Pauli at the given index within the string.
+   *
+   * For sparse representations, returns Pauli::I if index is not present.
+   */
+  template <typename PC = PauliContainer>
+  typename std::enable_if<std::is_same<PC, QubitPauliMap>::value, Pauli>::type
+  get(const Qubit &qb) const {
+    QubitPauliMap::const_iterator i = string.find(qb);
+    if (i == string.end())
+      return Pauli::I;
+    else
+      return i->second;
+  }
+  template <typename PC = PauliContainer>
+  typename std::enable_if<std::is_same<PC, DensePauliMap>::value, Pauli>::type
+  get(unsigned qb) const {
+    if (qb >= string.size())
+      return Pauli::I;
+    else
+      return string.at(qb);
+  }
+
+  /**
+   * Sets the Pauli at the given index within the string.
+   */
+  template <typename PC = PauliContainer>
+  typename std::enable_if<std::is_same<PC, QubitPauliMap>::value>::type set(
+      const Qubit &qb, Pauli p) {
+    QubitPauliMap::iterator i = string.find(qb);
+    if (i == string.end()) {
+      if (p != Pauli::I) string.insert({qb, p});
+    } else {
+      if (p == Pauli::I)
+        string.erase(i);
+      else
+        i->second = p;
+    }
+  }
+  template <typename PC = PauliContainer>
+  typename std::enable_if<std::is_same<PC, DensePauliMap>::value>::type set(
+      unsigned qb, Pauli p) {
+    if (qb >= string.size()) string.resize(qb + 1, Pauli::I);
+    string.at(qb) = p;
+  }
+
+  /**
+   * Asserts coefficient is real, and returns whether it is negative.
+   *
+   * quarter_turns_t is used as the coefficient to restrict to the Pauli group.
+   * This is most commonly used for stabiliser methods, in which case valid
+   * coefficients must be +-1. It is common in such representations for these to
+   * be distinguished just by a single phase bit which is true if negative,
+   * false if positive. This method immediately gives that phase bit.
+   *
+   * @retval true if coeff % 4 == 2 (coefficient is -1)
+   * @retval false if coeff % 4 == 0 (coefficient is +1)
+   */
+  template <typename CT = CoeffType>
+  typename std::enable_if<std::is_same<CT, quarter_turns_t>::value, bool>::type
+  is_real_negative() const {
+    switch (coeff % 4) {
+      case 0: {
+        return false;
+      }
+      case 2: {
+        return true;
+      }
+      default: {
+        throw std::logic_error(
+            "is_real_negative() called on a PauliTensor with imaginary phase");
+      }
+    }
+  }
+
+  /**
+   * A human-readable form of the PauliTensor, incorporating the coefficient and
+   * Pauli string. Format may depend on the type specialisations.
+   */
+  std::string to_str() const {
+    std::stringstream ss;
+    print_coeff<CoeffType>(ss, coeff);
+    print_paulis<PauliContainer>(ss, string);
+    return ss.str();
+  }
+
+  /**
+   * Hash the PauliTensor.
+   */
+  std::size_t hash_value() const {
+    std::size_t seed = 0;
+    hash_combine_paulis<PauliContainer>(seed, string);
+    hash_combine_coeff<CoeffType>(seed, coeff);
+    return seed;
+  }
+
+  /**
+   * Update this to the transpose by negating the coefficient if the string
+   * contains an odd number of Pauli::Ys.
+   */
+  void transpose() {
+    if (n_ys<PauliContainer>(string) % 2 == 1)
+      coeff = multiply_coeffs<CoeffType>(
+          coeff, cast_coeff<quarter_turns_t, CoeffType>(2));
+  }
+
+  /**
+   * Qubit-wise multiplication of two PauliTensors of the same type.
+   */
+  PauliTensor<PauliContainer, CoeffType> operator*(
+      const PauliTensor<PauliContainer, CoeffType> &other) const {
+    std::pair<quarter_turns_t, PauliContainer> prod =
+        multiply_strings<PauliContainer>(this->string, other.string);
+    CoeffType new_coeff = multiply_coeffs<CoeffType>(this->coeff, other.coeff);
+    new_coeff = multiply_coeffs<CoeffType>(
+        new_coeff, cast_coeff<quarter_turns_t, CoeffType>(prod.first));
+    return PauliTensor<PauliContainer, CoeffType>(prod.second, new_coeff);
+  }
+
+  /**
+   * Returns the set of free symbols in a symbolic PauliTensor.
+   */
+  template <typename CT = CoeffType>
+  typename std::enable_if<std::is_same<CT, Expr>::value, SymSet>::type
+  free_symbols() const {
+    return expr_free_symbols(coeff);
+  }
+  /**
+   * Replaces given symbols with values in a symbolic PauliTensor.
+   */
+  template <typename CT = CoeffType>
+  typename std::enable_if<
+      std::is_same<CT, Expr>::value,
+      PauliTensor<PauliContainer, CoeffType>>::type
+  symbol_substitution(const SymEngine::map_basic_basic &sub_map) const {
+    return PauliTensor<PauliContainer, CoeffType>(string, coeff.subs(sub_map));
+  }
+
+  /**
+   * Returns the size of the underlying Pauli string.
+   *
+   * This is taken directly from the container, so may include some qubits
+   * mapped to Pauli::I and vary around calling PauliTensor::compress().
+   */
+  unsigned size() const { return string.size(); }
+
+  /**
+   * Evaluates a PauliTensor to a sparse matrix describing the tensor product
+   * of each Pauli in the string. Throws an exception if the coefficient is
+   * symbolic.
+   *
+   * The matrix gives the operator in ILO-BE format, e.g. (Zq[0], Xq[1]):
+   * 0  1  0  0
+   * 1  0  0  0
+   * 0  0  0 -1
+   * 0  0 -1  0
+   *
+   * For sparse Pauli containers, just those qubits present in the container
+   * will be treated as part of the Pauli string (e.g. (Zq[1], Iq[2]) is treated
+   * as ZI since q[0] is ignored but q[2] is present in the string), so it is
+   * often preferred to use the other variants which explicitly provide the
+   * expected qubits.
+   */
+  CmplxSpMat to_sparse_matrix() const {
+    return cast_coeff<CoeffType, Complex>(coeff) *
+           tket::to_sparse_matrix<PauliContainer>(string);
+  }
+
+  /**
+   * Evaluates a PauliTensor to a sparse matrix describing the tensor product
+   * of each Pauli in the string. Throws an exception if the coefficient is
+   * symbolic.
+   *
+   * Qubits are restricted to the default register, from q[0] to q[ \p n_qubits
+   * - 1], then presents the operator in ILO-BE format (if a sparse container
+   * contains Qubits outside of this range or not in the default register, an
+   * exception is thrown). E.g. (Zq[0]), 2:
+   * 1  0  0  0
+   * 0 -1  0  0
+   * 0  0  1  0
+   * 0  0  0 -1
+   */
+  CmplxSpMat to_sparse_matrix(const unsigned n_qubits) const {
+    return cast_coeff<CoeffType, Complex>(coeff) *
+           tket::to_sparse_matrix<PauliContainer>(string, n_qubits);
+  }
+
+  /**
+   * Evaluates a PauliTensor to a sparse matrix describing the tensor product
+   * of each Pauli in the string. Throws an exception if the coefficient is
+   * symbolic.
+   *
+   * \p qubits dictates the order of the qubits in the tensor product, with the
+   * operator returned in Big Endian format. E.g. (Zq[0], Xq[1]), [q[1], q[0]]:
+   * 0  0  1  0
+   * 0  0  0 -1
+   * 1  0  0  0
+   * 0 -1  0  0
+   */
+  CmplxSpMat to_sparse_matrix(const qubit_vector_t &qubits) const {
+    return cast_coeff<CoeffType, Complex>(coeff) *
+           tket::to_sparse_matrix<PauliContainer>(string, qubits);
+  }
+
+  /**
+   * Applies the PauliTensor to a given statevector by matrix multiplication.
+   *
+   * Determines the number of qubits from the size of the statevector, and
+   * assumes default register qubits in ILO-BE format.
+   */
+  Eigen::VectorXcd dot_state(const Eigen::VectorXcd &state) const {
+    // allowing room for big states
+    unsigned long long n = state.size();
+    if (!(n && (!(n & (n - 1)))))
+      throw std::logic_error("Statevector size is not a power of two.");
+    unsigned n_qubits = 0;
+    while (n) {
+      n >>= 1;
+      ++n_qubits;
+    }
+    --n_qubits;
+    return (to_sparse_matrix(n_qubits) * state);
+  }
+  /**
+   * Applies the PauliTensor to a given statevector by matrix multiplication.
+   *
+   * \p qubits dictates the order of Qubits in the state, assuming a Big Endian
+   * format. An exception is thrown if the size of the state does not match up
+   * with the number of Qubits given.
+   */
+  Eigen::VectorXcd dot_state(
+      const Eigen::VectorXcd &state, const qubit_vector_t &qubits) const {
+    if (state.size() != 1 << qubits.size())
+      throw std::logic_error(
+          "Size of statevector does not match number of qubits passed to "
+          "dot_state");
+    return (to_sparse_matrix(qubits) * state);
+  }
+
+  /**
+   * Determines the expectation value of a given statevector with respect to the
+   * PauliTensor by matrix multiplication.
+   *
+   * Determines the number of qubits from the size of the statevector, and
+   * assumes default register qubits in ILO-BE format.
+   */
+  Complex state_expectation(const Eigen::VectorXcd &state) const {
+    return state.dot(dot_state(state));
+  }
+  /**
+   * Determines the expectation value of a given statevector with respect to the
+   * PauliTensor by matrix multiplication.
+   *
+   * \p qubits dictates the order of Qubits in the state, assuming a Big Endian
+   * format. An exception is thrown if the size of the state does not match up
+   * with the number of Qubits given.
+   */
+  Complex state_expectation(
+      const Eigen::VectorXcd &state, const qubit_vector_t &qubits) const {
+    return state.dot(dot_state(state, qubits));
+  }
+};
+
+// Initialise default coefficient
+template <typename PauliContainer, typename CoeffType>
+const CoeffType PauliTensor<PauliContainer, CoeffType>::default_coeff =
+    tket::default_coeff<CoeffType>();
+
+template <typename PauliContainer, typename CoeffType>
+void to_json(
+    nlohmann::json &j, const PauliTensor<PauliContainer, CoeffType> &tensor) {
+  j["string"] = tensor.string;
+  j["coeff"] = tensor.coeff;
+}
+
+template <typename PauliContainer, typename CoeffType>
+void from_json(
+    const nlohmann::json &j, PauliTensor<PauliContainer, CoeffType> &tensor) {
+  tensor = PauliTensor<PauliContainer, CoeffType>(
+      j.at("string").get<PauliContainer>(), j.at("coeff").get<CoeffType>());
+}
+
+/*******************************************************************************
+ * PauliTensor SPECIALISATION TYPEDEFS
+ ******************************************************************************/
+
+typedef PauliTensor<QubitPauliMap, no_coeff_t> SpPauliString;
+typedef PauliTensor<DensePauliMap, no_coeff_t> PauliString;
+typedef PauliTensor<QubitPauliMap, quarter_turns_t> SpPauliStabiliser;
+typedef PauliTensor<DensePauliMap, quarter_turns_t> PauliStabiliser;
+typedef PauliTensor<QubitPauliMap, Complex> SpCxPauliTensor;
+typedef PauliTensor<DensePauliMap, Complex> CxPauliTensor;
+typedef PauliTensor<QubitPauliMap, Expr> SpSymPauliTensor;
+typedef PauliTensor<DensePauliMap, Expr> SymPauliTensor;
+
+typedef std::vector<PauliStabiliser> PauliStabiliserVec;
+
+}  // namespace tket
diff --git a/tket/src/Characterisation/FrameRandomisation.cpp b/tket/src/Characterisation/FrameRandomisation.cpp
index 92bd53a401..c6667ce0be 100644
--- a/tket/src/Characterisation/FrameRandomisation.cpp
+++ b/tket/src/Characterisation/FrameRandomisation.cpp
@@ -18,7 +18,6 @@
 
 #include "tket/Ops/BarrierOp.hpp"
 #include "tket/PauliGraph/ConjugatePauliFunctions.hpp"
-#include "tket/Utils/PauliStrings.hpp"
 
 namespace tket {
 
@@ -206,7 +205,7 @@ PauliFrameRandomisation::get_out_frame(
     }
   }
 
-  QubitPauliTensor qpt(qpm);
+  SpPauliStabiliser qpt(qpm);
 
   for (const CycleCom& cycle_op : cycle.coms_) {
     switch (cycle_op.type) {
@@ -243,8 +242,8 @@ PauliFrameRandomisation::get_out_frame(
     }
   }
 
-  OpTypeVector out_frame(in_frame.size());
-  for (const auto& entry : qpt.string.map) {
+  OpTypeVector out_frame(in_frame.size(), OpType::noop);
+  for (const auto& entry : qpt.string) {
     switch (entry.second) {
       case Pauli::I:
         out_frame[entry.first.index()[0]] = OpType::noop;
@@ -290,11 +289,11 @@ UniversalFrameRandomisation::get_out_frame(
     }
   }
 
-  QubitPauliTensor qpt(qpm);
+  SpPauliStabiliser qpt(qpm);
 
   for (const CycleCom& cycle_op : cycle.coms_) {
     if (cycle_op.type == OpType::Rz) {
-      Pauli frame_type = qpt.string.map[Qubit("frame", cycle_op.indices[0])];
+      Pauli frame_type = qpt.get(Qubit("frame", cycle_op.indices[0]));
       if (frame_type == Pauli::X || frame_type == Pauli::Y) {
         to_dagger.push_back(cycle_op.address);
       }
@@ -311,8 +310,8 @@ UniversalFrameRandomisation::get_out_frame(
     }
   }
 
-  OpTypeVector out_frame(in_frame.size());
-  for (const auto& entry : qpt.string.map) {
+  OpTypeVector out_frame(in_frame.size(), OpType::noop);
+  for (const auto& entry : qpt.string) {
     switch (entry.second) {
       case Pauli::I:
         out_frame[entry.first.index()[0]] = OpType::noop;
diff --git a/tket/src/Circuit/AssertionSynthesis.cpp b/tket/src/Circuit/AssertionSynthesis.cpp
index a4e35759e1..05a7e6408e 100644
--- a/tket/src/Circuit/AssertionSynthesis.cpp
+++ b/tket/src/Circuit/AssertionSynthesis.cpp
@@ -280,7 +280,7 @@ std::tuple<Circuit, std::vector<bool>> projector_assertion_synthesis(
 }
 
 static unsigned get_n_qubits_from_stabilisers(
-    const PauliStabiliserList &paulis) {
+    const PauliStabiliserVec &paulis) {
   if (paulis.size() == 0) {
     throw CircuitInvalidity("Stabilisers cannot be empty");
   }
@@ -311,32 +311,39 @@ static unsigned add_assertion_operator(
     const Qubit &ancilla, std::vector<bool> &expected_readouts) {
   circ.add_op<Qubit>(OpType::Reset, {ancilla});
   circ.add_op<Qubit>(OpType::H, {ancilla});
-  for (unsigned i = 0; i < pauli.string.size(); i++) {
+  bool identity = true;
+  for (unsigned i = 0; i < pauli.size(); i++) {
     switch (pauli.string[i]) {
       case Pauli::I:
         break;
       case Pauli::X:
         circ.add_op<Qubit>(OpType::CX, {ancilla, Qubit(i)});
+        identity = false;
         break;
       case Pauli::Y:
         circ.add_op<Qubit>(OpType::CY, {ancilla, Qubit(i)});
+        identity = false;
         break;
       case Pauli::Z:
         circ.add_op<Qubit>(OpType::CZ, {ancilla, Qubit(i)});
+        identity = false;
         break;
     }
   }
+  if (identity)
+    throw std::invalid_argument(
+        "StabiliserAssertionBox cannot assert an identity.");
   circ.add_op<Qubit>(OpType::H, {ancilla});
   Bit b(debug_bit_index++);
   circ.add_bit(b);
   circ.add_op<UnitID>(OpType::Measure, {ancilla, b});
-  expected_readouts.push_back(!pauli.coeff);
+  expected_readouts.push_back(pauli.is_real_negative());
   return debug_bit_index;
 }
 
 // Assume all Pauli stabilisers have equal lengths and no identity
 std::tuple<Circuit, std::vector<bool>> stabiliser_assertion_synthesis(
-    const PauliStabiliserList &paulis) {
+    const PauliStabiliserVec &paulis) {
   unsigned n_qubits = get_n_qubits_from_stabilisers(paulis);
   std::vector<bool> expected_readouts;
   Circuit circ(n_qubits);
diff --git a/tket/src/Circuit/Boxes.cpp b/tket/src/Circuit/Boxes.cpp
index 9b811d19f6..e25d4ea83b 100644
--- a/tket/src/Circuit/Boxes.cpp
+++ b/tket/src/Circuit/Boxes.cpp
@@ -30,7 +30,7 @@
 #include "tket/Utils/Expression.hpp"
 #include "tket/Utils/HelperFunctions.hpp"
 #include "tket/Utils/Json.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 
 namespace tket {
 
@@ -489,8 +489,7 @@ bool ProjectorAssertionBox::is_equal(const Op &op_other) const {
   return m_.isApprox(other.m_);
 }
 
-StabiliserAssertionBox::StabiliserAssertionBox(
-    const PauliStabiliserList &paulis)
+StabiliserAssertionBox::StabiliserAssertionBox(const PauliStabiliserVec &paulis)
     : Box(OpType::StabiliserAssertionBox),
       paulis_(paulis),
       expected_readouts_({}) {
@@ -508,15 +507,10 @@ Op_ptr StabiliserAssertionBox::dagger() const {
 }
 
 Op_ptr StabiliserAssertionBox::transpose() const {
-  PauliStabiliserList new_pauli_list;
-  for (auto &pauli : paulis_) {
-    int y_pauli_counter =
-        std::count(pauli.string.begin(), pauli.string.end(), Pauli::Y);
-    if (y_pauli_counter % 2 == 0) {
-      new_pauli_list.push_back(PauliStabiliser(pauli.string, pauli.coeff));
-    } else {
-      new_pauli_list.push_back(PauliStabiliser(pauli.string, !pauli.coeff));
-    };
+  PauliStabiliserVec new_pauli_list;
+  for (PauliStabiliser pauli : paulis_) {
+    pauli.transpose();
+    new_pauli_list.push_back(pauli);
   }
   return std::make_shared<StabiliserAssertionBox>(new_pauli_list);
 }
@@ -691,13 +685,23 @@ Op_ptr ProjectorAssertionBox::from_json(const nlohmann::json &j) {
 nlohmann::json StabiliserAssertionBox::to_json(const Op_ptr &op) {
   const auto &box = static_cast<const StabiliserAssertionBox &>(*op);
   nlohmann::json j = core_box_json(box);
-  j["stabilisers"] = box.get_stabilisers();
+  // Encode PauliStabiliser as Pauli vector and bool (true iff coeff 0) for
+  // backwards compatibility with before templated PauliTensor
+  std::vector<std::pair<std::vector<Pauli>, bool>> stabiliser_encoding;
+  for (const PauliStabiliser &stab : box.get_stabilisers())
+    stabiliser_encoding.push_back({stab.string, !stab.is_real_negative()});
+  j["stabilisers"] = stabiliser_encoding;
   return j;
 }
 
 Op_ptr StabiliserAssertionBox::from_json(const nlohmann::json &j) {
-  StabiliserAssertionBox box =
-      StabiliserAssertionBox(j.at("stabilisers").get<PauliStabiliserList>());
+  std::vector<std::pair<std::vector<Pauli>, bool>> stabiliser_encoding =
+      j.at("stabilisers")
+          .get<std::vector<std::pair<std::vector<Pauli>, bool>>>();
+  PauliStabiliserVec stabs;
+  for (const std::pair<std::vector<Pauli>, bool> &stab : stabiliser_encoding)
+    stabs.push_back(PauliStabiliser(stab.first, stab.second ? 0 : 2));
+  StabiliserAssertionBox box = StabiliserAssertionBox(stabs);
   return set_box_id(
       box,
       boost::lexical_cast<boost::uuids::uuid>(j.at("id").get<std::string>()));
diff --git a/tket/src/Circuit/PauliExpBoxes.cpp b/tket/src/Circuit/PauliExpBoxes.cpp
index 22f9734048..23f81c9d8e 100644
--- a/tket/src/Circuit/PauliExpBoxes.cpp
+++ b/tket/src/Circuit/PauliExpBoxes.cpp
@@ -26,63 +26,56 @@
 namespace tket {
 
 PauliExpBox::PauliExpBox(
-    const std::vector<Pauli> &paulis, const Expr &t,
-    CXConfigType cx_config_type)
+    const SymPauliTensor &paulis, CXConfigType cx_config_type)
     : Box(OpType::PauliExpBox,
           op_signature_t(paulis.size(), EdgeType::Quantum)),
       paulis_(paulis),
-      t_(t),
       cx_config_(cx_config_type) {}
 
 PauliExpBox::PauliExpBox(const PauliExpBox &other)
-    : Box(other),
-      paulis_(other.paulis_),
-      t_(other.t_),
-      cx_config_(other.cx_config_) {}
+    : Box(other), paulis_(other.paulis_), cx_config_(other.cx_config_) {}
 
-PauliExpBox::PauliExpBox() : PauliExpBox({}, 0.) {}
+PauliExpBox::PauliExpBox() : PauliExpBox({{}, 0}) {}
 
 bool PauliExpBox::is_clifford() const {
-  return equiv_0(4 * t_) || paulis_.empty();
+  return equiv_0(4 * paulis_.coeff) || paulis_.string.empty();
 }
 
-SymSet PauliExpBox::free_symbols() const { return expr_free_symbols(t_); }
+SymSet PauliExpBox::free_symbols() const { return paulis_.free_symbols(); }
 
 Op_ptr PauliExpBox::dagger() const {
-  return std::make_shared<PauliExpBox>(paulis_, -t_, cx_config_);
+  return std::make_shared<PauliExpBox>(
+      SymPauliTensor(paulis_.string, -paulis_.coeff), cx_config_);
 }
 
 Op_ptr PauliExpBox::transpose() const {
-  std::vector<Pauli> paulis = get_paulis();
-  int number_y_pauli_mod2 =
-      std::count(paulis.begin(), paulis.end(), Pauli::Y) % 2;
-  // Negate the parameter if odd nr of Paulis (mult with 1 if mod2=0, -1 if
-  // mod2=1)
-  int t_fac = -number_y_pauli_mod2 * 2 + 1;
-  return std::make_shared<PauliExpBox>(paulis_, t_fac * t_, cx_config_);
+  SymPauliTensor tr = paulis_;
+  tr.transpose();
+  return std::make_shared<PauliExpBox>(tr, cx_config_);
 }
 
 Op_ptr PauliExpBox::symbol_substitution(
     const SymEngine::map_basic_basic &sub_map) const {
   return std::make_shared<PauliExpBox>(
-      this->paulis_, this->t_.subs(sub_map), this->cx_config_);
+      this->paulis_.symbol_substitution(sub_map), this->cx_config_);
 }
 
 void PauliExpBox::generate_circuit() const {
-  Circuit circ = pauli_gadget(paulis_, t_, cx_config_);
+  Circuit circ = pauli_gadget(paulis_.string, paulis_.coeff, cx_config_);
   circ_ = std::make_shared<Circuit>(circ);
 }
 
 bool PauliExpBox::is_equal(const Op &op_other) const {
   const PauliExpBox &other = dynamic_cast<const PauliExpBox &>(op_other);
   if (id_ == other.get_id()) return true;
-  return equiv_expr(t_, other.t_, 4) && cx_config_ == other.cx_config_ &&
-         paulis_ == other.paulis_;
+  return cx_config_ == other.cx_config_ && paulis_.equiv_mod(other.paulis_, 4);
 }
 
 nlohmann::json PauliExpBox::to_json(const Op_ptr &op) {
   const auto &box = static_cast<const PauliExpBox &>(*op);
   nlohmann::json j = core_box_json(box);
+  // Serialise paulis and phase separately for backwards compatibility with
+  // before templated PauliTensor
   j["paulis"] = box.get_paulis();
   j["phase"] = box.get_phase();
   j["cx_config"] = box.get_cx_config();
@@ -91,7 +84,8 @@ nlohmann::json PauliExpBox::to_json(const Op_ptr &op) {
 
 Op_ptr PauliExpBox::from_json(const nlohmann::json &j) {
   PauliExpBox box = PauliExpBox(
-      j.at("paulis").get<std::vector<Pauli>>(), j.at("phase").get<Expr>(),
+      SymPauliTensor(
+          j.at("paulis").get<std::vector<Pauli>>(), j.at("phase").get<Expr>()),
       j.at("cx_config").get<CXConfigType>());
   return set_box_id(
       box,
@@ -101,15 +95,12 @@ Op_ptr PauliExpBox::from_json(const nlohmann::json &j) {
 REGISTER_OPFACTORY(PauliExpBox, PauliExpBox)
 
 PauliExpPairBox::PauliExpPairBox(
-    const std::vector<Pauli> &paulis0, const Expr &t0,
-    const std::vector<Pauli> &paulis1, const Expr &t1,
+    const SymPauliTensor &paulis0, const SymPauliTensor &paulis1,
     CXConfigType cx_config_type)
     : Box(OpType::PauliExpPairBox,
           op_signature_t(paulis0.size(), EdgeType::Quantum)),
       paulis0_(paulis0),
-      t0_(std::move(t0)),
       paulis1_(paulis1),
-      t1_(std::move(t1)),
       cx_config_(cx_config_type) {
   if (paulis0.size() != paulis1.size()) {
     throw PauliExpBoxInvalidity(
@@ -121,60 +112,45 @@ PauliExpPairBox::PauliExpPairBox(
 PauliExpPairBox::PauliExpPairBox(const PauliExpPairBox &other)
     : Box(other),
       paulis0_(other.paulis0_),
-      t0_(other.t0_),
       paulis1_(other.paulis1_),
-      t1_(other.t1_),
       cx_config_(other.cx_config_) {}
 
-PauliExpPairBox::PauliExpPairBox() : PauliExpPairBox({}, 0., {}, 0.) {}
+PauliExpPairBox::PauliExpPairBox() : PauliExpPairBox({{}, 0}, {{}, 0}) {}
 
 bool PauliExpPairBox::is_clifford() const {
-  auto is_clifford0 = equiv_0(4 * t0_) || paulis0_.empty();
-  auto is_clifford1 = equiv_0(4 * t1_) || paulis1_.empty();
+  auto is_clifford0 = equiv_0(4 * paulis0_.coeff) || paulis0_.string.empty();
+  auto is_clifford1 = equiv_0(4 * paulis1_.coeff) || paulis1_.string.empty();
   return is_clifford0 && is_clifford1;
 }
 
 SymSet PauliExpPairBox::free_symbols() const {
-  return expr_free_symbols({t0_, t1_});
+  return expr_free_symbols({paulis0_.coeff, paulis1_.coeff});
 }
 
 Op_ptr PauliExpPairBox::dagger() const {
   return std::make_shared<PauliExpPairBox>(
-      paulis1_, -t1_, paulis0_, -t0_, cx_config_);
-}
-
-// Get the multiplicative change factor in Pauli angle during transpose ( -1 for
-// odd nr of Y, 1 otherwise)
-int transpose_angle_factor(const std::vector<Pauli> &paulis) {
-  int pauli_odd_number_y = std::count_if(
-                               paulis.begin(), paulis.end(),
-                               [](auto pauli) { return pauli == Pauli::Y; }) %
-                           2;
-  // transform 0 -> 1, 1 -> -1
-  return -pauli_odd_number_y * 2 + 1;
+      SymPauliTensor(paulis1_.string, -paulis1_.coeff),
+      SymPauliTensor(paulis0_.string, -paulis0_.coeff), cx_config_);
 }
 
 Op_ptr PauliExpPairBox::transpose() const {
-  int pauli0_angle_factor = transpose_angle_factor(paulis0_);
-  int pauli1_angle_factor = transpose_angle_factor(paulis1_);
-  return std::make_shared<PauliExpPairBox>(
-      paulis1_, pauli1_angle_factor * t1_, paulis0_, pauli0_angle_factor * t0_,
-      cx_config_);
+  SymPauliTensor tr0 = paulis0_;
+  tr0.transpose();
+  SymPauliTensor tr1 = paulis1_;
+  tr1.transpose();
+  return std::make_shared<PauliExpPairBox>(tr1, tr0, cx_config_);
 }
 
 Op_ptr PauliExpPairBox::symbol_substitution(
     const SymEngine::map_basic_basic &sub_map) const {
   return std::make_shared<PauliExpPairBox>(
-      this->paulis0_, this->t0_.subs(sub_map), this->paulis1_,
-      this->t1_.subs(sub_map), this->cx_config_);
+      this->paulis0_.symbol_substitution(sub_map),
+      this->paulis1_.symbol_substitution(sub_map), this->cx_config_);
 }
 
 void PauliExpPairBox::generate_circuit() const {
   Circuit circ = Circuit(paulis0_.size());
-  QubitPauliTensor pauli_tensor0(paulis0_);
-  QubitPauliTensor pauli_tensor1(paulis1_);
-  append_pauli_gadget_pair(
-      circ, pauli_tensor0, t0_, pauli_tensor1, t1_, cx_config_);
+  append_pauli_gadget_pair(circ, paulis0_, paulis1_, cx_config_);
   circ_ = std::make_shared<Circuit>(circ);
 }
 
@@ -182,14 +158,16 @@ bool PauliExpPairBox::is_equal(const Op &op_other) const {
   const PauliExpPairBox &other =
       dynamic_cast<const PauliExpPairBox &>(op_other);
   if (id_ == other.get_id()) return true;
-  return cx_config_ == other.cx_config_ && equiv_expr(t0_, other.t0_, 4) &&
-         equiv_expr(t1_, other.t1_, 4) && paulis0_ == other.paulis0_ &&
-         paulis1_ == other.paulis1_;
+  return cx_config_ == other.cx_config_ &&
+         paulis0_.equiv_mod(other.paulis0_, 4) &&
+         paulis1_.equiv_mod(other.paulis1_, 4);
 }
 
 nlohmann::json PauliExpPairBox::to_json(const Op_ptr &op) {
   const auto &box = static_cast<const PauliExpPairBox &>(*op);
   nlohmann::json j = core_box_json(box);
+  // Encode pauli strings and phases separately for backwards compatibility from
+  // before templated PauliTensor
   auto paulis_pair = box.get_paulis_pair();
   // use vector to avoid serialising into a dictionary if the Pauli strings are
   // of length 2
@@ -208,7 +186,8 @@ Op_ptr PauliExpPairBox::from_json(const nlohmann::json &j) {
   const auto [phase0, phase1] =
       j.at("phase_pair").get<std::tuple<Expr, Expr>>();
   PauliExpPairBox box = PauliExpPairBox(
-      paulis0, phase0, paulis1, phase1, j.at("cx_config").get<CXConfigType>());
+      SymPauliTensor(paulis0, phase0), SymPauliTensor(paulis1, phase1),
+      j.at("cx_config").get<CXConfigType>());
   return set_box_id(
       box,
       boost::lexical_cast<boost::uuids::uuid>(j.at("id").get<std::string>()));
@@ -217,7 +196,7 @@ Op_ptr PauliExpPairBox::from_json(const nlohmann::json &j) {
 REGISTER_OPFACTORY(PauliExpPairBox, PauliExpPairBox)
 
 PauliExpCommutingSetBox::PauliExpCommutingSetBox(
-    const std::vector<std::pair<std::vector<Pauli>, Expr>> &pauli_gadgets,
+    const std::vector<SymPauliTensor> &pauli_gadgets,
     CXConfigType cx_config_type)
     : Box(OpType::PauliExpCommutingSetBox),
       pauli_gadgets_(pauli_gadgets),
@@ -228,9 +207,9 @@ PauliExpCommutingSetBox::PauliExpCommutingSetBox(
         "PauliExpCommutingSetBox requires at least one Pauli string");
   }
   // check all gadgets have same Pauli string length
-  auto n_qubits = pauli_gadgets[0].first.size();
+  auto n_qubits = pauli_gadgets[0].size();
   for (const auto &gadget : pauli_gadgets) {
-    if (gadget.first.size() != n_qubits) {
+    if (gadget.size() != n_qubits) {
       throw PauliExpBoxInvalidity(
           "the Pauli strings within PauliExpCommutingSetBox must all be the "
           "same length");
@@ -256,21 +235,16 @@ PauliExpCommutingSetBox::PauliExpCommutingSetBox()
 bool PauliExpCommutingSetBox::is_clifford() const {
   return std::all_of(
       pauli_gadgets_.begin(), pauli_gadgets_.end(),
-      [](const std::pair<std::vector<Pauli>, Expr> &pauli_exp) {
-        return equiv_0(4 * pauli_exp.second) || pauli_exp.first.empty();
+      [](const SymPauliTensor &pauli_exp) {
+        return equiv_0(4 * pauli_exp.coeff) || pauli_exp.string.empty();
       });
 }
 
 bool PauliExpCommutingSetBox::paulis_commute() const {
-  std::vector<QubitPauliString> pauli_strings;
-  pauli_strings.reserve(pauli_gadgets_.size());
-  for (const auto &pauli_gadget : pauli_gadgets_) {
-    pauli_strings.emplace_back(pauli_gadget.first);
-  }
-  for (auto string0 = pauli_strings.begin(); string0 != pauli_strings.end();
-       string0++) {
-    for (auto string1 = string0 + 1; string1 != pauli_strings.end();
-         string1++) {
+  for (auto string0 = pauli_gadgets_.begin(); string0 != pauli_gadgets_.end();
+       ++string0) {
+    for (auto string1 = std::next(string0); string1 != pauli_gadgets_.end();
+         ++string1) {
       if (!string0->commutes_with(*string1)) {
         return false;
       }
@@ -282,25 +256,25 @@ bool PauliExpCommutingSetBox::paulis_commute() const {
 SymSet PauliExpCommutingSetBox::free_symbols() const {
   std::vector<Expr> angles;
   for (const auto &pauli_exp : pauli_gadgets_) {
-    angles.push_back(pauli_exp.second);
+    angles.push_back(pauli_exp.coeff);
   }
   return expr_free_symbols(angles);
 }
 
 Op_ptr PauliExpCommutingSetBox::dagger() const {
-  std::vector<std::pair<std::vector<Pauli>, Expr>> dagger_gadgets;
+  std::vector<SymPauliTensor> dagger_gadgets;
   for (const auto &pauli_exp : pauli_gadgets_) {
-    dagger_gadgets.emplace_back(pauli_exp.first, -pauli_exp.second);
+    dagger_gadgets.emplace_back(pauli_exp.string, -pauli_exp.coeff);
   }
   return std::make_shared<PauliExpCommutingSetBox>(dagger_gadgets, cx_config_);
 }
 
 Op_ptr PauliExpCommutingSetBox::transpose() const {
-  std::vector<std::pair<std::vector<Pauli>, Expr>> transpose_gadgets;
+  std::vector<SymPauliTensor> transpose_gadgets;
   for (const auto &pauli_exp : pauli_gadgets_) {
-    int pauli_angle_factor = transpose_angle_factor(pauli_exp.first);
-    transpose_gadgets.emplace_back(
-        pauli_exp.first, pauli_angle_factor * pauli_exp.second);
+    SymPauliTensor tr = pauli_exp;
+    tr.transpose();
+    transpose_gadgets.push_back(tr);
   }
   return std::make_shared<PauliExpCommutingSetBox>(
       transpose_gadgets, cx_config_);
@@ -308,23 +282,21 @@ Op_ptr PauliExpCommutingSetBox::transpose() const {
 
 Op_ptr PauliExpCommutingSetBox::symbol_substitution(
     const SymEngine::map_basic_basic &sub_map) const {
-  std::vector<std::pair<std::vector<Pauli>, Expr>> symbol_sub_gadgets;
+  std::vector<SymPauliTensor> symbol_sub_gadgets;
   for (const auto &pauli_exp : pauli_gadgets_) {
-    symbol_sub_gadgets.emplace_back(
-        pauli_exp.first, pauli_exp.second.subs(sub_map));
+    symbol_sub_gadgets.push_back(pauli_exp.symbol_substitution(sub_map));
   }
   return std::make_shared<PauliExpCommutingSetBox>(
       symbol_sub_gadgets, this->cx_config_);
 }
 
 void PauliExpCommutingSetBox::generate_circuit() const {
-  unsigned n_qubits = pauli_gadgets_[0].first.size();
+  unsigned n_qubits = pauli_gadgets_[0].size();
   Circuit circ(n_qubits);
 
-  std::list<std::pair<QubitPauliTensor, Expr>> gadgets;
+  std::list<SpSymPauliTensor> gadgets;
   for (const auto &pauli_gadget : pauli_gadgets_) {
-    gadgets.emplace_back(
-        QubitPauliTensor(pauli_gadget.first), pauli_gadget.second);
+    gadgets.push_back((SpSymPauliTensor)pauli_gadget);
   }
   std::set<Qubit> qubits;
   for (unsigned i = 0; i < n_qubits; i++) qubits.insert(Qubit(i));
@@ -333,8 +305,8 @@ void PauliExpCommutingSetBox::generate_circuit() const {
 
   Circuit phase_poly_circ(n_qubits);
 
-  for (const std::pair<QubitPauliTensor, Expr> &pgp : gadgets) {
-    append_single_pauli_gadget(phase_poly_circ, pgp.first, pgp.second);
+  for (const SpSymPauliTensor &pgp : gadgets) {
+    append_single_pauli_gadget(phase_poly_circ, pgp);
   }
   phase_poly_circ.decompose_boxes_recursively();
   PhasePolyBox ppbox(phase_poly_circ);
@@ -349,39 +321,41 @@ void PauliExpCommutingSetBox::generate_circuit() const {
   circ_ = std::make_shared<Circuit>(circ);
 }
 
-// check two gadges are semantically equal
-static bool gadget_compare(
-    const std::vector<std::pair<std::vector<Pauli>, Expr>> &g1,
-    const std::vector<std::pair<std::vector<Pauli>, Expr>> &g2) {
-  return std::equal(
-      g1.begin(), g1.end(), g2.begin(), g2.end(),
-      [](const std::pair<std::vector<Pauli>, Expr> &a,
-         const std::pair<std::vector<Pauli>, Expr> &b) {
-        return a.first == b.first && equiv_expr(a.second, b.second, 4);
-      });
-}
-
 bool PauliExpCommutingSetBox::is_equal(const Op &op_other) const {
   const PauliExpCommutingSetBox &other =
       dynamic_cast<const PauliExpCommutingSetBox &>(op_other);
   if (id_ == other.get_id()) return true;
-  return cx_config_ == other.cx_config_ &&
-         gadget_compare(pauli_gadgets_, other.pauli_gadgets_);
+  if (cx_config_ != other.cx_config_) return false;
+  return std::equal(
+      pauli_gadgets_.begin(), pauli_gadgets_.end(),
+      other.pauli_gadgets_.begin(), other.pauli_gadgets_.end(),
+      [](const SymPauliTensor &a, const SymPauliTensor &b) {
+        return a.equiv_mod(b, 4);
+      });
 }
 
 nlohmann::json PauliExpCommutingSetBox::to_json(const Op_ptr &op) {
   const auto &box = static_cast<const PauliExpCommutingSetBox &>(*op);
   nlohmann::json j = core_box_json(box);
-  j["pauli_gadgets"] = box.get_pauli_gadgets();
+  // Encode SymPauliTensor as unlabelled pair of Pauli vector and Expr for
+  // backwards compatibility from before templated PauliTensor
+  std::vector<std::pair<std::vector<Pauli>, Expr>> gadget_encoding;
+  for (const SymPauliTensor &g : box.get_pauli_gadgets())
+    gadget_encoding.push_back({g.string, g.coeff});
+  j["pauli_gadgets"] = gadget_encoding;
   j["cx_config"] = box.get_cx_config();
   return j;
 }
 
 Op_ptr PauliExpCommutingSetBox::from_json(const nlohmann::json &j) {
-  PauliExpCommutingSetBox box = PauliExpCommutingSetBox(
+  std::vector<std::pair<std::vector<Pauli>, Expr>> gadget_encoding =
       j.at("pauli_gadgets")
-          .get<std::vector<std::pair<std::vector<Pauli>, Expr>>>(),
-      j.at("cx_config").get<CXConfigType>());
+          .get<std::vector<std::pair<std::vector<Pauli>, Expr>>>();
+  std::vector<SymPauliTensor> gadgets;
+  for (const std::pair<std::vector<Pauli>, Expr> &g : gadget_encoding)
+    gadgets.push_back(SymPauliTensor(g.first, g.second));
+  PauliExpCommutingSetBox box =
+      PauliExpCommutingSetBox(gadgets, j.at("cx_config").get<CXConfigType>());
   return set_box_id(
       box,
       boost::lexical_cast<boost::uuids::uuid>(j.at("id").get<std::string>()));
diff --git a/tket/src/Circuit/Simulation/PauliExpBoxUnitaryCalculator.cpp b/tket/src/Circuit/Simulation/PauliExpBoxUnitaryCalculator.cpp
index ec00d46d71..3338595e24 100644
--- a/tket/src/Circuit/Simulation/PauliExpBoxUnitaryCalculator.cpp
+++ b/tket/src/Circuit/Simulation/PauliExpBoxUnitaryCalculator.cpp
@@ -18,7 +18,6 @@
 #include <tkassert/Assert.hpp>
 
 #include "tket/Circuit/PauliExpBoxes.hpp"
-#include "tket/Utils/PauliStrings.hpp"
 
 namespace tket {
 namespace tket_sim {
@@ -69,9 +68,8 @@ struct PauliExpBoxUnitaryCalculator {
   const std::map<Pauli, std::array<Entry, 2>> pauli_map;
 
   // The tensor product matrix, all factors of i removed.
-  // Although QubitPauliString and QubitPauliTensor could probably
-  // be made to do the work for us, they are more complicated
-  // than we need.
+  // Although PauliTensor could probably be made to do the work for us, it is
+  // more complicated than we need.
   std::vector<Entry> sparse_matrix;
 
   // The number of Y which occurred.
@@ -170,10 +168,6 @@ void PauliExpBoxUnitaryCalculator::fill_triplets(double phase) {
   set_diagonals.clear();
 
   for (const auto& entry : sparse_matrix) {
-    // In Utils\PauliStrings.hpp, there is
-    //  QubitPauliTensor operator*(Complex a, const QubitPauliTensor &qpt),
-    // which messes up ordinary std statements like std::complex * int.
-    // Not really a problem, but can be unexpected.
     std::complex<double> value =
         matrix_coefficient * std::complex<double>(entry.value());
 
diff --git a/tket/src/Clifford/ChoiMixTableau.cpp b/tket/src/Clifford/ChoiMixTableau.cpp
index d7e88eff4b..b481d54893 100644
--- a/tket/src/Clifford/ChoiMixTableau.cpp
+++ b/tket/src/Clifford/ChoiMixTableau.cpp
@@ -80,10 +80,10 @@ ChoiMixTableau::ChoiMixTableau(const std::list<row_tensor_t>& rows)
   std::set<Qubit> in_qubits;
   std::set<Qubit> out_qubits;
   for (const row_tensor_t& row : rows) {
-    for (const std::pair<const Qubit, Pauli>& qb : row.first.string.map) {
+    for (const std::pair<const Qubit, Pauli>& qb : row.first.string) {
       in_qubits.insert(qb.first);
     }
-    for (const std::pair<const Qubit, Pauli>& qb : row.second.string.map) {
+    for (const std::pair<const Qubit, Pauli>& qb : row.second.string) {
       out_qubits.insert(qb.first);
     }
   }
@@ -103,26 +103,19 @@ ChoiMixTableau::ChoiMixTableau(const std::list<row_tensor_t>& rows)
   VectorXb phase = VectorXb::Zero(n_rows);
   unsigned r = 0;
   for (const row_tensor_t& row : rows) {
-    for (const std::pair<const Qubit, Pauli>& qb : row.first.string.map) {
+    for (const std::pair<const Qubit, Pauli>& qb : row.first.string) {
       unsigned c =
           col_index_.left.at(col_key_t{qb.first, TableauSegment::Input});
       if (qb.second == Pauli::X || qb.second == Pauli::Y) xmat(r, c) = true;
       if (qb.second == Pauli::Z || qb.second == Pauli::Y) zmat(r, c) = true;
     }
-    for (const std::pair<const Qubit, Pauli>& qb : row.second.string.map) {
+    for (const std::pair<const Qubit, Pauli>& qb : row.second.string) {
       unsigned c =
           col_index_.left.at(col_key_t{qb.first, TableauSegment::Output});
       if (qb.second == Pauli::X || qb.second == Pauli::Y) xmat(r, c) = true;
       if (qb.second == Pauli::Z || qb.second == Pauli::Y) zmat(r, c) = true;
     }
-    Complex ph = row.first.coeff * row.second.coeff;
-    if (std::abs(ph - 1.) < EPS)
-      phase(r) = false;
-    else if (std::abs(ph + 1.) < EPS)
-      phase(r) = true;
-    else
-      throw std::invalid_argument(
-          "Phase coefficient of a Choi tableau row must be +-1");
+    phase(r) = row.first.is_real_negative() ^ row.second.is_real_negative();
     ++r;
   }
   tab_ = SymplecticTableau(xmat, zmat, phase);
@@ -163,9 +156,7 @@ ChoiMixTableau::row_tensor_t ChoiMixTableau::stab_to_row_tensor(
         out_qpm.insert({col.first, p});
     }
   }
-  return {
-      QubitPauliTensor(in_qpm),
-      QubitPauliTensor(out_qpm, stab.coeff ? 1. : -1.)};
+  return {SpPauliStabiliser(in_qpm), SpPauliStabiliser(out_qpm, stab.coeff)};
 }
 
 PauliStabiliser ChoiMixTableau::row_tensor_to_stab(
@@ -174,12 +165,11 @@ PauliStabiliser ChoiMixTableau::row_tensor_to_stab(
   for (unsigned i = 0; i < col_index_.size(); ++i) {
     col_key_t qb = col_index_.right.at(i);
     if (qb.second == TableauSegment::Input)
-      ps.push_back(ten.first.string.get(qb.first));
+      ps.push_back(ten.first.get(qb.first));
     else
-      ps.push_back(ten.second.string.get(qb.first));
+      ps.push_back(ten.second.get(qb.first));
   }
-  return PauliStabiliser(
-      ps, std::abs(ten.first.coeff * ten.second.coeff - 1.) < EPS);
+  return PauliStabiliser(ps, (ten.first.coeff + ten.second.coeff) % 4);
 }
 
 ChoiMixTableau::row_tensor_t ChoiMixTableau::get_row(unsigned i) const {
@@ -194,8 +184,8 @@ ChoiMixTableau::row_tensor_t ChoiMixTableau::get_row_product(
     result.first = result.first * row_i.first;
     result.second = result.second * row_i.second;
   }
-  result.second.coeff *= result.first.coeff;
-  result.first.coeff = 1.;
+  result.second.coeff = (result.first.coeff + result.second.coeff) % 4;
+  result.first.coeff = 0;
   return result;
 }
 
@@ -389,14 +379,10 @@ void ChoiMixTableau::apply_gate(
 }
 
 void ChoiMixTableau::apply_pauli(
-    const QubitPauliTensor& pauli, unsigned half_pis, TableauSegment seg) {
-  if (std::abs(pauli.coeff - 1.) > EPS && std::abs(pauli.coeff + 1.) > EPS)
-    throw std::invalid_argument(
-        "In ChoiMixTableau::apply_pauli, can only rotate about a "
-        "QubitPauliTensor with coeff +-1");
+    const SpPauliStabiliser& pauli, unsigned half_pis, TableauSegment seg) {
   PauliStabiliser ps;
   if (seg == TableauSegment::Input) {
-    QubitPauliTensor tr = pauli;
+    SpPauliStabiliser tr = pauli;
     tr.transpose();
     ps = row_tensor_to_stab({tr, {}});
   } else {
diff --git a/tket/src/Clifford/SymplecticTableau.cpp b/tket/src/Clifford/SymplecticTableau.cpp
index 49ac53d40c..45ba0011db 100644
--- a/tket/src/Clifford/SymplecticTableau.cpp
+++ b/tket/src/Clifford/SymplecticTableau.cpp
@@ -75,7 +75,7 @@ SymplecticTableau::SymplecticTableau(
         "Tableau must have the same number of columns in x and z components.");
 }
 
-SymplecticTableau::SymplecticTableau(const PauliStabiliserList &rows) {
+SymplecticTableau::SymplecticTableau(const PauliStabiliserVec &rows) {
   n_rows_ = rows.size();
   if (n_rows_ == 0)
     n_qubits_ = 0;
@@ -90,11 +90,11 @@ SymplecticTableau::SymplecticTableau(const PauliStabiliserList &rows) {
       throw std::invalid_argument(
           "Tableau must have the same number of qubits in each row.");
     for (unsigned q = 0; q < n_qubits_; ++q) {
-      const Pauli &p = stab.string[q];
+      const Pauli &p = stab.get(q);
       xmat_(i, q) = (p == Pauli::X) || (p == Pauli::Y);
       zmat_(i, q) = (p == Pauli::Z) || (p == Pauli::Y);
     }
-    phase_(i) = !stab.coeff;
+    phase_(i) = stab.is_real_negative();
   }
 }
 
@@ -106,7 +106,7 @@ PauliStabiliser SymplecticTableau::get_pauli(unsigned i) const {
   for (unsigned q = 0; q < n_qubits_; ++q) {
     str[q] = BoolPauli{xmat_(i, q), zmat_(i, q)}.to_pauli();
   }
-  return PauliStabiliser(str, !phase_(i));
+  return PauliStabiliser(str, phase_(i) ? 2 : 0);
 }
 
 std::ostream &operator<<(std::ostream &os, const SymplecticTableau &tab) {
@@ -288,7 +288,7 @@ void SymplecticTableau::apply_pauli_gadget(
     pauli_xrow(i) = (p == Pauli::X) || (p == Pauli::Y);
     pauli_zrow(i) = (p == Pauli::Z) || (p == Pauli::Y);
   }
-  bool phase = (!pauli.coeff) ^ (half_pis == 3);
+  bool phase = pauli.is_real_negative() ^ (half_pis == 3);
 
   for (unsigned i = 0; i < n_rows_; ++i) {
     bool anti = false;
diff --git a/tket/src/Clifford/UnitaryTableau.cpp b/tket/src/Clifford/UnitaryTableau.cpp
index 0b7a71d551..4f0527c949 100644
--- a/tket/src/Clifford/UnitaryTableau.cpp
+++ b/tket/src/Clifford/UnitaryTableau.cpp
@@ -81,40 +81,34 @@ UnitaryTableau::UnitaryTableau(
 
 UnitaryTableau::UnitaryTableau() : UnitaryTableau(0) {}
 
-QubitPauliTensor UnitaryTableau::get_xrow(const Qubit& qb) const {
+SpPauliStabiliser UnitaryTableau::get_xrow(const Qubit& qb) const {
   unsigned uq = qubits_.left.at(qb);
   PauliStabiliser stab = tab_.get_pauli(uq);
-  std::list<Qubit> qbs;
+  QubitPauliMap qpm;
   for (unsigned i = 0; i < qubits_.size(); ++i) {
-    qbs.push_back(qubits_.right.at(i));
+    qpm.insert({qubits_.right.at(i), stab.get(i)});
   }
-  std::list<Pauli> string = {stab.string.begin(), stab.string.end()};
-  Complex coeff = 1.;
-  if (!stab.coeff) coeff *= -1.;
-  return QubitPauliTensor(QubitPauliString(qbs, string), coeff);
+  return SpPauliStabiliser(qpm, stab.coeff);
 }
 
-QubitPauliTensor UnitaryTableau::get_zrow(const Qubit& qb) const {
+SpPauliStabiliser UnitaryTableau::get_zrow(const Qubit& qb) const {
   unsigned uqb = qubits_.left.at(qb);
   PauliStabiliser stab = tab_.get_pauli(uqb + qubits_.size());
-  std::list<Qubit> qbs;
+  QubitPauliMap qpm;
   for (unsigned i = 0; i < qubits_.size(); ++i) {
-    qbs.push_back(qubits_.right.at(i));
+    qpm.insert({qubits_.right.at(i), stab.get(i)});
   }
-  std::list<Pauli> string = {stab.string.begin(), stab.string.end()};
-  Complex coeff = 1.;
-  if (!stab.coeff) coeff *= -1.;
-  return QubitPauliTensor(QubitPauliString(qbs, string), coeff);
+  return SpPauliStabiliser(qpm, stab.coeff);
 }
 
-QubitPauliTensor UnitaryTableau::get_row_product(
-    const QubitPauliTensor& qpt) const {
-  QubitPauliTensor result(qpt.coeff);
-  for (const std::pair<const Qubit, Pauli>& p : qpt.string.map) {
+SpPauliStabiliser UnitaryTableau::get_row_product(
+    const SpPauliStabiliser& qpt) const {
+  SpPauliStabiliser result({}, qpt.coeff);
+  for (const std::pair<const Qubit, Pauli>& p : qpt.string) {
     auto qks_it = qubits_.left.find(p.first);
     if (qks_it == qubits_.left.end()) {
       // Acts as identity on p.first
-      result = result * QubitPauliTensor(p.first, p.second);
+      result = result * SpPauliStabiliser(p.first, p.second);
     } else {
       switch (p.second) {
         case Pauli::I: {
@@ -128,7 +122,7 @@ QubitPauliTensor UnitaryTableau::get_row_product(
           // Y = iXZ
           result = result * get_xrow(p.first);
           result = result * get_zrow(p.first);
-          result.coeff *= i_;
+          result.coeff += 1;
           break;
         }
         case Pauli::Z: {
@@ -284,22 +278,18 @@ void UnitaryTableau::apply_gate_at_end(OpType type, const qubit_vector_t& qbs) {
 }
 
 void UnitaryTableau::apply_pauli_at_front(
-    const QubitPauliTensor& pauli, unsigned half_pis) {
+    const SpPauliStabiliser& pauli, unsigned half_pis) {
   return apply_pauli_at_end(get_row_product(pauli), half_pis);
 }
 
 void UnitaryTableau::apply_pauli_at_end(
-    const QubitPauliTensor& pauli, unsigned half_pis) {
+    const SpPauliStabiliser& pauli, unsigned half_pis) {
   std::vector<Pauli> string(qubits_.size(), Pauli::I);
-  for (const std::pair<const Qubit, Pauli>& pair : pauli.string.map) {
+  for (const std::pair<const Qubit, Pauli>& pair : pauli.string) {
     unsigned uqb = qubits_.left.at(pair.first);
     string.at(uqb) = pair.second;
   }
-  if (pauli.coeff != 1. && pauli.coeff != -1.)
-    throw std::domain_error(
-        "Can only apply Pauli gadgets with real unit coefficients to "
-        "UnitaryTableaux");
-  tab_.apply_pauli_gadget({string, pauli.coeff == 1.}, half_pis);
+  tab_.apply_pauli_gadget(PauliStabiliser(string, pauli.coeff), half_pis);
 }
 
 UnitaryTableau UnitaryTableau::compose(
@@ -311,7 +301,7 @@ UnitaryTableau UnitaryTableau::compose(
   UnitaryTableau result = UnitaryTableau({});
   const unsigned nqb = qbs.size();
 
-  std::vector<QubitPauliTensor> rows;
+  std::vector<SpPauliStabiliser> rows;
 
   unsigned qir = 0;
   for (const Qubit& qi : qbs) {
@@ -321,8 +311,8 @@ UnitaryTableau UnitaryTableau::compose(
       rows.push_back(second.get_xrow(qi));
     } else {
       // Sum rows of second according to entries of first
-      QubitPauliTensor fxrow = first.get_xrow(qi);
-      QubitPauliTensor rxrow = second.get_row_product(fxrow);
+      SpPauliStabiliser fxrow = first.get_xrow(qi);
+      SpPauliStabiliser rxrow = second.get_row_product(fxrow);
       rows.push_back(rxrow);
     }
 
@@ -338,22 +328,21 @@ UnitaryTableau UnitaryTableau::compose(
       rows.push_back(second.get_zrow(qi));
     } else {
       // Sum rows of second according to entries of first
-      QubitPauliTensor fzrow = first.get_zrow(qi);
-      QubitPauliTensor rzrow = second.get_row_product(fzrow);
+      SpPauliStabiliser fzrow = first.get_zrow(qi);
+      SpPauliStabiliser rzrow = second.get_row_product(fzrow);
       rows.push_back(rzrow);
     }
   }
 
   // Combine row lists and convert to PauliStabilisers
-  PauliStabiliserList all_rows;
-  for (const QubitPauliTensor& row : rows) {
-    TKET_ASSERT(row.coeff == 1. || row.coeff == -1.);
+  PauliStabiliserVec all_rows;
+  for (const SpPauliStabiliser& row : rows) {
     std::vector<Pauli> ps(nqb, Pauli::I);
-    for (const std::pair<const Qubit, Pauli>& p : row.string.map) {
+    for (const std::pair<const Qubit, Pauli>& p : row.string) {
       unsigned q = result.qubits_.left.at(p.first);
       ps[q] = p.second;
     }
-    all_rows.push_back(PauliStabiliser(ps, row.coeff == 1.));
+    all_rows.push_back(PauliStabiliser(ps, row.coeff));
   }
 
   result.tab_ = SymplecticTableau(all_rows);
@@ -409,10 +398,10 @@ UnitaryTableau UnitaryTableau::dagger() const {
 
   // Correct phases
   for (unsigned i = 0; i < nqb; ++i) {
-    QubitPauliTensor xr = dag.get_xrow(qubits_.right.at(i));
-    dag.tab_.phase_(i) = get_row_product(xr).coeff == -1.;
-    QubitPauliTensor zr = dag.get_zrow(qubits_.right.at(i));
-    dag.tab_.phase_(i + nqb) = get_row_product(zr).coeff == -1.;
+    SpPauliStabiliser xr = dag.get_xrow(qubits_.right.at(i));
+    dag.tab_.phase_(i) = get_row_product(xr).is_real_negative();
+    SpPauliStabiliser zr = dag.get_zrow(qubits_.right.at(i));
+    dag.tab_.phase_(i + nqb) = get_row_product(zr).is_real_negative();
   }
 
   return dag;
@@ -510,16 +499,16 @@ UnitaryRevTableau::UnitaryRevTableau(const qubit_vector_t& qbs) : tab_(qbs) {}
 
 UnitaryRevTableau::UnitaryRevTableau() : tab_() {}
 
-QubitPauliTensor UnitaryRevTableau::get_xrow(const Qubit& qb) const {
+SpPauliStabiliser UnitaryRevTableau::get_xrow(const Qubit& qb) const {
   return tab_.get_xrow(qb);
 }
 
-QubitPauliTensor UnitaryRevTableau::get_zrow(const Qubit& qb) const {
+SpPauliStabiliser UnitaryRevTableau::get_zrow(const Qubit& qb) const {
   return tab_.get_zrow(qb);
 }
 
-QubitPauliTensor UnitaryRevTableau::get_row_product(
-    const QubitPauliTensor& qpt) const {
+SpPauliStabiliser UnitaryRevTableau::get_row_product(
+    const SpPauliStabiliser& qpt) const {
   return tab_.get_row_product(qpt);
 }
 
@@ -528,19 +517,19 @@ std::set<Qubit> UnitaryRevTableau::get_qubits() const {
 }
 
 void UnitaryRevTableau::apply_S_at_front(const Qubit& qb) {
-  tab_.apply_pauli_at_end(QubitPauliTensor(qb, Pauli::Z), 3);
+  tab_.apply_pauli_at_end(SpPauliStabiliser(qb, Pauli::Z), 3);
 }
 
 void UnitaryRevTableau::apply_S_at_end(const Qubit& qb) {
-  tab_.apply_pauli_at_front(QubitPauliTensor(qb, Pauli::Z), 3);
+  tab_.apply_pauli_at_front(SpPauliStabiliser(qb, Pauli::Z), 3);
 }
 
 void UnitaryRevTableau::apply_V_at_front(const Qubit& qb) {
-  tab_.apply_pauli_at_end(QubitPauliTensor(qb, Pauli::X), 3);
+  tab_.apply_pauli_at_end(SpPauliStabiliser(qb, Pauli::X), 3);
 }
 
 void UnitaryRevTableau::apply_V_at_end(const Qubit& qb) {
-  tab_.apply_pauli_at_front(QubitPauliTensor(qb, Pauli::X), 3);
+  tab_.apply_pauli_at_front(SpPauliStabiliser(qb, Pauli::X), 3);
 }
 
 void UnitaryRevTableau::apply_CX_at_front(
@@ -566,12 +555,12 @@ void UnitaryRevTableau::apply_gate_at_end(
 }
 
 void UnitaryRevTableau::apply_pauli_at_front(
-    const QubitPauliTensor& pauli, unsigned half_pis) {
+    const SpPauliStabiliser& pauli, unsigned half_pis) {
   tab_.apply_pauli_at_end(pauli, 4 - (half_pis % 4));
 }
 
 void UnitaryRevTableau::apply_pauli_at_end(
-    const QubitPauliTensor& pauli, unsigned half_pis) {
+    const SpPauliStabiliser& pauli, unsigned half_pis) {
   tab_.apply_pauli_at_front(pauli, 4 - (half_pis % 4));
 }
 
diff --git a/tket/src/Converters/ChoiMixTableauConverters.cpp b/tket/src/Converters/ChoiMixTableauConverters.cpp
index bf124220c0..5a57e16cc8 100644
--- a/tket/src/Converters/ChoiMixTableauConverters.cpp
+++ b/tket/src/Converters/ChoiMixTableauConverters.cpp
@@ -101,16 +101,16 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
   boost::bimap<Qubit, Qubit> matched_qubits;
 
   // Call diagonalisation methods to diagonalise post-selected subspace
-  std::list<std::pair<QubitPauliTensor, Expr>> to_diag;
+  std::list<SpSymPauliTensor> to_diag;
   for (unsigned r = tab.get_n_rows(); r > 0;) {
     --r;
     ChoiMixTableau::row_tensor_t rten = tab.get_row(r);
-    if (rten.second.string.map.size() != 0) {
+    if (rten.second.size() != 0) {
       // Reached the rows with non-empty output segment
       break;
     }
     // Else, we add the row to the subspace
-    to_diag.push_back({rten.first, 1.});
+    to_diag.push_back(rten.first);
   }
   unsigned post_selected_size = to_diag.size();
   std::set<Qubit> diag_ins{input_qubits.begin(), input_qubits.end()};
@@ -199,8 +199,7 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
       // computing the minimum distance of a code", 1997). Just settle on using
       // the first row for now, reducing the input and output to a single qubit
       ChoiMixTableau::row_tensor_t row_paulis = tab.get_row(*x_row);
-      for (const std::pair<const Qubit, Pauli>& p :
-           row_paulis.second.string.map) {
+      for (const std::pair<const Qubit, Pauli>& p : row_paulis.second.string) {
         if (matched_qubits.right.find(p.first) == matched_qubits.right.end()) {
           out_qb = p.first;
           matched_qubits.insert({in_qb, *out_qb});
@@ -209,13 +208,12 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
       }
 
       // Reduce input string to just X_in_qb
-      if (row_paulis.first.string.get(in_qb) == Pauli::Y) {
+      if (row_paulis.first.get(in_qb) == Pauli::Y) {
         // If it is a Y, extract an Sdg gate so the Pauli is exactly X
         in_circ.add_op<Qubit>(OpType::Sdg, {in_qb});
         tab.apply_S(in_qb, ChoiMixTableau::TableauSegment::Input);
       }
-      for (const std::pair<const Qubit, Pauli>& qbp :
-           row_paulis.first.string.map) {
+      for (const std::pair<const Qubit, Pauli>& qbp : row_paulis.first.string) {
         if (qbp.first == in_qb) continue;
         // Extract an entangling gate to eliminate the qubit
         switch (qbp.second) {
@@ -246,11 +244,11 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
       }
 
       // And then the same for X_out_qb
-      if (row_paulis.second.string.get(*out_qb) == Pauli::Y) {
+      if (row_paulis.second.get(*out_qb) == Pauli::Y) {
         // If it is a Y, extract an Sdg gate so the Pauli is exactly X
         out_circ_tp.add_op<Qubit>(OpType::Sdg, {*out_qb});
         tab.apply_S(*out_qb, ChoiMixTableau::TableauSegment::Output);
-      } else if (row_paulis.second.string.get(*out_qb) == Pauli::Z) {
+      } else if (row_paulis.second.get(*out_qb) == Pauli::Z) {
         // If it is a Z, extract an Vdg and Sdg gate so the Pauli is exactly X
         out_circ_tp.add_op<Qubit>(OpType::Vdg, {*out_qb});
         out_circ_tp.add_op<Qubit>(OpType::Sdg, {*out_qb});
@@ -258,7 +256,7 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
         tab.apply_S(*out_qb, ChoiMixTableau::TableauSegment::Output);
       }
       for (const std::pair<const Qubit, Pauli>& qbp :
-           row_paulis.second.string.map) {
+           row_paulis.second.string) {
         if (qbp.first == *out_qb) continue;
         // Extract an entangling gate to eliminate the qubit
         switch (qbp.second) {
@@ -307,7 +305,7 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
       ChoiMixTableau::row_tensor_t row_paulis = tab.get_row(*z_row);
       if (!x_row) {
         for (const std::pair<const Qubit, Pauli>& p :
-             row_paulis.second.string.map) {
+             row_paulis.second.string) {
           if (matched_qubits.right.find(p.first) ==
               matched_qubits.right.end()) {
             out_qb = p.first;
@@ -322,8 +320,7 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
       // row would have been identified as x_row instead of Z row, and if
       // another row was already chosen as x_row then canonical gaussian form
       // would imply all other rows do not contain X_in_qb or Y_in_qb
-      for (const std::pair<const Qubit, Pauli>& qbp :
-           row_paulis.first.string.map) {
+      for (const std::pair<const Qubit, Pauli>& qbp : row_paulis.first.string) {
         if (qbp.first == in_qb) continue;
         // Extract an entangling gate to eliminate the qubit
         switch (qbp.second) {
@@ -357,11 +354,11 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
       }
 
       // And then reduce output string to just Z_out_qb
-      if (row_paulis.second.string.get(*out_qb) == Pauli::Y) {
+      if (row_paulis.second.get(*out_qb) == Pauli::Y) {
         // If it is a Y, extract a Vdg gate so the Pauli is exactly Z
         out_circ_tp.add_op<Qubit>(OpType::Vdg, {*out_qb});
         tab.apply_V(*out_qb, ChoiMixTableau::TableauSegment::Output);
-      } else if (row_paulis.second.string.get(*out_qb) == Pauli::X) {
+      } else if (row_paulis.second.get(*out_qb) == Pauli::X) {
         // If it is an X, extract an Sdg and Vdg gate so the Pauli is exactly Z
         // We do not need to care about messing up the X row here since if we
         // solved an X row then this row can't also have X by commutativity
@@ -371,7 +368,7 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
         tab.apply_V(*out_qb, ChoiMixTableau::TableauSegment::Output);
       }
       for (const std::pair<const Qubit, Pauli>& qbp :
-           row_paulis.second.string.map) {
+           row_paulis.second.string) {
         if (qbp.first == *out_qb) continue;
         // Extract an entangling gate to eliminate the qubit
         switch (qbp.second) {
@@ -424,7 +421,7 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
   while (out_stabs < tab.get_n_rows()) {
     ChoiMixTableau::row_tensor_t rten =
         tab.get_row(tab.get_n_rows() - 1 - out_stabs);
-    if (rten.first.string.map.size() != 0) {
+    if (rten.first.size() != 0) {
       // Reached the rows with non-empty input segment
       break;
     }
@@ -485,8 +482,7 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
     ChoiMixTableau::row_tensor_t row_paulis =
         tab.get_row(tab.get_n_rows() - out_stabs + r);
 
-    for (const std::pair<const Qubit, Pauli>& qbp :
-         row_paulis.second.string.map) {
+    for (const std::pair<const Qubit, Pauli>& qbp : row_paulis.second.string) {
       if (matched_qubits.right.find(qbp.first) == matched_qubits.right.end())
         continue;
       // Alternate point is guaranteed to be unmatched, so always needs an
@@ -576,7 +572,7 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
   to_diag.clear();
   for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
     ChoiMixTableau::row_tensor_t rten = tab.get_row(r);
-    to_diag.push_back({rten.second, 1.});
+    to_diag.push_back(rten.second);
   }
   std::set<Qubit> diag_outs;
   for (const Qubit& out : output_qubits) {
@@ -614,14 +610,14 @@ std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
   Circuit out_circ(output_qubits, {});
   for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
     ChoiMixTableau::row_tensor_t row = tab.get_row(r);
-    if (row.first.string.map.size() != 0 || row.second.string.map.size() != 1 ||
-        row.second.string.map.begin()->second != Pauli::Z)
+    if (row.first.size() != 0 || row.second.size() != 1 ||
+        row.second.string.begin()->second != Pauli::Z)
       throw std::logic_error(
           "Unexpected error during zero initialisation in ChoiMixTableau "
           "synthesis");
-    Qubit initialised_qb = row.second.string.map.begin()->first;
+    Qubit initialised_qb = row.second.string.begin()->first;
     out_circ.qubit_create(initialised_qb);
-    if (row.second.coeff == -1.) {
+    if (row.second.is_real_negative()) {
       out_circ.add_op<Qubit>(OpType::X, {initialised_qb});
     }
     zero_initialised.insert(initialised_qb);
diff --git a/tket/src/Converters/PauliGadget.cpp b/tket/src/Converters/PauliGadget.cpp
index 00ef19713e..451003776c 100644
--- a/tket/src/Converters/PauliGadget.cpp
+++ b/tket/src/Converters/PauliGadget.cpp
@@ -20,119 +20,88 @@
 
 namespace tket {
 
-Expr pauli_angle_convert_or_throw(Complex pauliCoeff, const Expr &angle) {
-  if (pauliCoeff == -1.) {
-    return -1 * angle;
-  }
-  if (pauliCoeff != 1.) {
-    throw CircuitInvalidity("Pauli coefficient must be +/- 1");
-  }
-  return angle;
-}
-
 void append_single_pauli_gadget(
-    Circuit &circ, const QubitPauliTensor &pauli, Expr angle,
-    CXConfigType cx_config) {
-  auto converted_angle = pauli_angle_convert_or_throw(pauli.coeff, angle);
-
+    Circuit &circ, const SpSymPauliTensor &pauli, CXConfigType cx_config) {
   std::vector<Pauli> string;
   unit_map_t mapping;
   unsigned i = 0;
-  for (const std::pair<const Qubit, Pauli> &term : pauli.string.map) {
+  for (const std::pair<const Qubit, Pauli> &term : pauli.string) {
     string.push_back(term.second);
     mapping.insert({Qubit(q_default_reg(), i), term.first});
     i++;
   }
-  Circuit gadget = pauli_gadget(string, converted_angle, cx_config);
+  Circuit gadget = pauli_gadget(string, pauli.coeff, cx_config);
   circ.append_with_map(gadget, mapping);
 }
 
 void append_single_pauli_gadget_as_pauli_exp_box(
-    Circuit &circ, const QubitPauliTensor &pauli, Expr angle,
-    CXConfigType cx_config) {
-  auto converted_angle = pauli_angle_convert_or_throw(pauli.coeff, angle);
-
+    Circuit &circ, const SpSymPauliTensor &pauli, CXConfigType cx_config) {
   std::vector<Pauli> string;
   std::vector<Qubit> mapping;
-  for (const std::pair<const Qubit, Pauli> &term : pauli.string.map) {
+  for (const std::pair<const Qubit, Pauli> &term : pauli.string) {
     string.push_back(term.second);
     mapping.push_back(term.first);
   }
-  PauliExpBox box(string, converted_angle, cx_config);
+  PauliExpBox box(SymPauliTensor(string, pauli.coeff), cx_config);
   circ.add_box(box, mapping);
 }
 
 void append_pauli_gadget_pair_as_box(
-    Circuit &circ, const QubitPauliTensor &pauli0, Expr angle0,
-    const QubitPauliTensor &pauli1, Expr angle1, CXConfigType cx_config) {
-  auto converted_angle0 = pauli_angle_convert_or_throw(pauli0.coeff, angle0);
-  auto converted_angle1 = pauli_angle_convert_or_throw(pauli1.coeff, angle1);
-
+    Circuit &circ, const SpSymPauliTensor &pauli0,
+    const SpSymPauliTensor &pauli1, CXConfigType cx_config) {
   std::vector<Qubit> mapping;
   std::vector<Pauli> paulis0;
   std::vector<Pauli> paulis1;
-
-  QubitPauliString pauli0_string(pauli0.string);
-  QubitPauliString pauli1_string(pauli1.string);
-
-  // remove any identities
-  pauli0_string.compress();
-  pauli1_string.compress();
-
+  QubitPauliMap p1map = pauli1.string;
   // add paulis for qubits in pauli0_string
-  for (const std::pair<const Qubit, Pauli> &term : pauli0_string.map) {
+  for (const std::pair<const Qubit, Pauli> &term : pauli0.string) {
     mapping.push_back(term.first);
     paulis0.push_back(term.second);
-    auto found = pauli1_string.map.find(term.first);
-    if (found == pauli1_string.map.end()) {
+    auto found = p1map.find(term.first);
+    if (found == p1map.end()) {
       paulis1.push_back(Pauli::I);
     } else {
       paulis1.push_back(found->second);
-      pauli1_string.map.erase(found);
+      p1map.erase(found);
     }
   }
   // add paulis for qubits in pauli1_string that weren't in pauli0_string
-  for (const std::pair<const Qubit, Pauli> &term : pauli1_string.map) {
+  for (const std::pair<const Qubit, Pauli> &term : p1map) {
     mapping.push_back(term.first);
     paulis1.push_back(term.second);
     paulis0.push_back(Pauli::I);  // If pauli0_string contained qubit, would
                                   // have been handled above
   }
   PauliExpPairBox box(
-      paulis0, converted_angle0, paulis1, converted_angle1, cx_config);
+      SymPauliTensor(paulis0, pauli0.coeff),
+      SymPauliTensor(paulis1, pauli1.coeff), cx_config);
   circ.add_box(box, mapping);
 }
 
 void append_commuting_pauli_gadget_set_as_box(
-    Circuit &circ, const std::list<std::pair<QubitPauliTensor, Expr>> &gadgets,
+    Circuit &circ, const std::list<SpSymPauliTensor> &gadgets,
     CXConfigType cx_config) {
-  // Translate to QubitPauliTensors to vectors of Paulis of same length
+  // Translate SpSymPauliTensors to vectors of Paulis of same length
   // Preserves ordering of qubits
 
   std::set<Qubit> all_qubits;
-  for (const auto &gadget : gadgets) {
-    for (const auto &qubit_pauli : gadget.first.string.map) {
+  for (const SpSymPauliTensor &gadget : gadgets) {
+    for (const std::pair<const Qubit, Pauli> &qubit_pauli : gadget.string) {
       all_qubits.insert(qubit_pauli.first);
     }
   }
 
   std::vector<Qubit> mapping;
-  for (const auto &qubit : all_qubits) {
+  for (const Qubit &qubit : all_qubits) {
     mapping.push_back(qubit);
   }
 
-  std::vector<std::pair<std::vector<Pauli>, Expr>> pauli_gadgets;
-  for (const auto &gadget : gadgets) {
-    auto &new_gadget = pauli_gadgets.emplace_back(std::make_pair(
-        std::vector<Pauli>(),
-        pauli_angle_convert_or_throw(gadget.first.coeff, gadget.second)));
-    for (const auto &qubit : mapping) {
-      auto found = gadget.first.string.map.find(qubit);
-      if (found == gadget.first.string.map.end()) {
-        new_gadget.first.push_back(Pauli::I);
-      } else {
-        new_gadget.first.push_back(found->second);
-      }
+  std::vector<SymPauliTensor> pauli_gadgets;
+  for (const SpSymPauliTensor &gadget : gadgets) {
+    SymPauliTensor &new_gadget =
+        pauli_gadgets.emplace_back(DensePauliMap{}, gadget.coeff);
+    for (const Qubit &qubit : mapping) {
+      new_gadget.string.push_back(gadget.get(qubit));
     }
   }
 
@@ -141,8 +110,8 @@ void append_commuting_pauli_gadget_set_as_box(
 }
 
 static void reduce_shared_qs_by_CX_snake(
-    Circuit &circ, std::set<Qubit> &match, QubitPauliTensor &pauli0,
-    QubitPauliTensor &pauli1) {
+    Circuit &circ, std::set<Qubit> &match, SpSymPauliTensor &pauli0,
+    SpSymPauliTensor &pauli1) {
   unsigned match_size = match.size();
   while (match_size > 1) {  // We allow one match left over
     auto it = --match.end();
@@ -151,30 +120,30 @@ static void reduce_shared_qs_by_CX_snake(
     Qubit helper = *match.rbegin();
     // extend CX snake
     circ.add_op<Qubit>(OpType::CX, {to_eliminate, helper});
-    pauli0.string.map.erase(to_eliminate);
-    pauli1.string.map.erase(to_eliminate);
+    pauli0.string.erase(to_eliminate);
+    pauli1.string.erase(to_eliminate);
     match_size--;
   }
 }
 
 static void reduce_shared_qs_by_CX_star(
-    Circuit &circ, std::set<Qubit> &match, QubitPauliTensor &pauli0,
-    QubitPauliTensor &pauli1) {
+    Circuit &circ, std::set<Qubit> &match, SpSymPauliTensor &pauli0,
+    SpSymPauliTensor &pauli1) {
   std::set<Qubit>::iterator iter = match.begin();
   for (std::set<Qubit>::iterator next = match.begin(); match.size() > 1;
        iter = next) {
     ++next;
     Qubit to_eliminate = *iter;
     circ.add_op<Qubit>(OpType::CX, {to_eliminate, *match.rbegin()});
-    pauli0.string.map.erase(to_eliminate);
-    pauli1.string.map.erase(to_eliminate);
+    pauli0.string.erase(to_eliminate);
+    pauli1.string.erase(to_eliminate);
     match.erase(iter);
   }
 }
 
 static void reduce_shared_qs_by_CX_tree(
-    Circuit &circ, std::set<Qubit> &match, QubitPauliTensor &pauli0,
-    QubitPauliTensor &pauli1) {
+    Circuit &circ, std::set<Qubit> &match, SpSymPauliTensor &pauli0,
+    SpSymPauliTensor &pauli1) {
   while (match.size() > 1) {
     std::set<Qubit> remaining;
     std::set<Qubit>::iterator it = match.begin();
@@ -186,8 +155,8 @@ static void reduce_shared_qs_by_CX_tree(
         Qubit to_eliminate = *it;
         it++;
         circ.add_op<Qubit>(OpType::CX, {to_eliminate, maintained});
-        pauli0.string.map.erase(to_eliminate);
-        pauli1.string.map.erase(to_eliminate);
+        pauli0.string.erase(to_eliminate);
+        pauli1.string.erase(to_eliminate);
       }
     }
     match = remaining;
@@ -195,8 +164,8 @@ static void reduce_shared_qs_by_CX_tree(
 }
 
 static void reduce_shared_qs_by_CX_multiqgate(
-    Circuit &circ, std::set<Qubit> &match, QubitPauliTensor &pauli0,
-    QubitPauliTensor &pauli1) {
+    Circuit &circ, std::set<Qubit> &match, SpSymPauliTensor &pauli0,
+    SpSymPauliTensor &pauli1) {
   if (match.size() <= 1) {
     return;
   }
@@ -208,21 +177,21 @@ static void reduce_shared_qs_by_CX_multiqgate(
       // use CX
       Qubit to_eliminate = *iter;
       match.erase(iter);
-      pauli0.string.map.erase(to_eliminate);
-      pauli1.string.map.erase(to_eliminate);
+      pauli0.string.erase(to_eliminate);
+      pauli1.string.erase(to_eliminate);
 
       circ.add_op<Qubit>(OpType::CX, {to_eliminate, target});
     } else {
       // use XXPhase3
       Qubit to_eliminate1 = *iter;
       match.erase(iter++);
-      pauli0.string.map.erase(to_eliminate1);
-      pauli1.string.map.erase(to_eliminate1);
+      pauli0.string.erase(to_eliminate1);
+      pauli1.string.erase(to_eliminate1);
 
       Qubit to_eliminate2 = *iter;
       match.erase(iter);
-      pauli0.string.map.erase(to_eliminate2);
-      pauli1.string.map.erase(to_eliminate2);
+      pauli0.string.erase(to_eliminate2);
+      pauli1.string.erase(to_eliminate2);
 
       circ.add_op<Qubit>(OpType::H, {to_eliminate1});
       circ.add_op<Qubit>(OpType::H, {to_eliminate2});
@@ -234,8 +203,8 @@ static void reduce_shared_qs_by_CX_multiqgate(
 }
 
 void append_pauli_gadget_pair(
-    Circuit &circ, QubitPauliTensor pauli0, Expr angle0,
-    QubitPauliTensor pauli1, Expr angle1, CXConfigType cx_config) {
+    Circuit &circ, SpSymPauliTensor pauli0, SpSymPauliTensor pauli1,
+    CXConfigType cx_config) {
   /*
    * Cowtan, Dilkes, Duncan, Simmons, Sivarajah: Phase Gadget Synthesis for
    * Shallow Circuits, Lemma 4.9
@@ -274,16 +243,16 @@ void append_pauli_gadget_pair(
    * CXs
    */
   for (const Qubit &qb : match) {
-    switch (pauli0.string.map.at(qb)) {
+    switch (pauli0.get(qb)) {
       case Pauli::X:
         u.add_op<Qubit>(OpType::H, {qb});
-        pauli0.string.map.at(qb) = Pauli::Z;
-        pauli1.string.map.at(qb) = Pauli::Z;
+        pauli0.set(qb, Pauli::Z);
+        pauli1.set(qb, Pauli::Z);
         break;
       case Pauli::Y:
         u.add_op<Qubit>(OpType::V, {qb});
-        pauli0.string.map.at(qb) = Pauli::Z;
-        pauli1.string.map.at(qb) = Pauli::Z;
+        pauli0.set(qb, Pauli::Z);
+        pauli1.set(qb, Pauli::Z);
         break;
       default:
         break;
@@ -307,15 +276,16 @@ void append_pauli_gadget_pair(
       break;
     }
     default:
-      throw UnknownCXConfigType();
+      throw std::logic_error(
+          "Unknown CXConfigType received when decomposing gadget.");
   }
   /*
    * Step 2.ii: Convert mismatches to Z in pauli0 and X in pauli1
    */
   for (const Qubit &qb : mismatch) {
-    switch (pauli0.string.map.at(qb)) {
+    switch (pauli0.get(qb)) {
       case Pauli::X: {
-        switch (pauli1.string.map.at(qb)) {
+        switch (pauli1.get(qb)) {
           case Pauli::Y:
             u.add_op<Qubit>(OpType::Sdg, {qb});
             u.add_op<Qubit>(OpType::Vdg, {qb});
@@ -329,7 +299,7 @@ void append_pauli_gadget_pair(
         break;
       }
       case Pauli::Y: {
-        switch (pauli1.string.map.at(qb)) {
+        switch (pauli1.get(qb)) {
           case Pauli::X:
             u.add_op<Qubit>(OpType::V, {qb});
             break;
@@ -343,13 +313,12 @@ void append_pauli_gadget_pair(
         break;
       }
       default: {  // Necessarily Z
-        if (pauli1.string.map.at(qb) == Pauli::Y)
-          u.add_op<Qubit>(OpType::Sdg, {qb});
+        if (pauli1.get(qb) == Pauli::Y) u.add_op<Qubit>(OpType::Sdg, {qb});
         // No need to act if already X
       }
     }
-    pauli0.string.map.at(qb) = Pauli::Z;
-    pauli1.string.map.at(qb) = Pauli::X;
+    pauli0.set(qb, Pauli::Z);
+    pauli1.set(qb, Pauli::X);
   }
 
   /*
@@ -366,8 +335,8 @@ void append_pauli_gadget_pair(
       u.add_op<Qubit>(OpType::S, {mismatch_used});
       u.add_op<Qubit>(OpType::CX, {last_match, mismatch_used});
       u.add_op<Qubit>(OpType::Sdg, {mismatch_used});
-      pauli0.string.map.erase(last_match);
-      pauli1.string.map.erase(last_match);
+      pauli0.string.erase(last_match);
+      pauli1.string.erase(last_match);
     } else {
       just0.insert(last_match);
       just1.insert(last_match);
@@ -388,8 +357,8 @@ void append_pauli_gadget_pair(
     } else {
       Qubit x_in_1 = *mis_it;
       u.add_op<Qubit>(OpType::CX, {x_in_1, z_in_0});
-      pauli0.string.map.erase(x_in_1);
-      pauli1.string.map.erase(z_in_0);
+      pauli0.string.erase(x_in_1);
+      pauli1.string.erase(z_in_0);
       just1.insert(x_in_1);
       mis_it++;
     }
@@ -398,11 +367,15 @@ void append_pauli_gadget_pair(
   /*
    * Step 3: Combine circuits to give final result
    */
-  append_single_pauli_gadget(v, pauli0, angle0);
-  append_single_pauli_gadget(v, pauli1, angle1);
+  append_single_pauli_gadget(v, pauli0);
+  append_single_pauli_gadget(v, pauli1);
+  // ConjugationBox components must be in the default register
+  qubit_vector_t all_qubits = u.all_qubits();
+  u.flatten_registers();
+  v.flatten_registers();
   ConjugationBox cjbox(
       std::make_shared<CircBox>(u), std::make_shared<CircBox>(v));
-  circ.add_box(cjbox, u.all_qubits());
+  circ.add_box(cjbox, all_qubits);
 }
 
 }  // namespace tket
diff --git a/tket/src/Converters/PauliGraphConverters.cpp b/tket/src/Converters/PauliGraphConverters.cpp
index 8f30dc9a8b..8f345432eb 100644
--- a/tket/src/Converters/PauliGraphConverters.cpp
+++ b/tket/src/Converters/PauliGraphConverters.cpp
@@ -39,7 +39,7 @@ PauliGraph circuit_to_pauli_graph(const Circuit &circ) {
       QubitPauliMap qpm;
       for (unsigned i = 0; i != args.size(); ++i)
         qpm.insert({Qubit(args[i]), paulis[i]});
-      QubitPauliTensor qpt = pg.cliff_.get_row_product(QubitPauliTensor(qpm));
+      SpPauliStabiliser qpt = pg.cliff_.get_row_product(SpPauliStabiliser(qpm));
       pg.apply_pauli_gadget_at_end(qpt, phase);
     } else
       throw BadOpType(
@@ -60,9 +60,10 @@ Circuit pauli_graph_to_pauli_exp_box_circuit_individually(
     circ.add_bit(b);
   }
   for (const PauliVert &vert : pg.vertices_in_order()) {
-    const QubitPauliTensor &pauli = pg.graph_[vert].tensor_;
+    const SpPauliStabiliser &pauli = pg.graph_[vert].tensor_;
     const Expr &angle = pg.graph_[vert].angle_;
-    append_single_pauli_gadget_as_pauli_exp_box(circ, pauli, angle, cx_config);
+    append_single_pauli_gadget_as_pauli_exp_box(
+        circ, SpSymPauliTensor(pauli) * SpSymPauliTensor({}, angle), cx_config);
   }
   Circuit cliff_circuit = unitary_rev_tableau_to_circuit(pg.cliff_);
   circ.append(cliff_circuit);
@@ -85,22 +86,21 @@ Circuit pauli_graph_to_pauli_exp_box_circuit_pairwise(
   auto it = vertices.begin();
   while (it != vertices.end()) {
     PauliVert vert0 = *it;
-    const QubitPauliTensor &pauli0 = pg.graph_[vert0].tensor_;
+    const SpPauliStabiliser &pauli0 = pg.graph_[vert0].tensor_;
     const Expr &angle0 = pg.graph_[vert0].angle_;
     ++it;
     if (it == vertices.end()) {
-      // append_single_pauli_gadget(circ, pauli0, angle0, cx_config);
       append_single_pauli_gadget_as_pauli_exp_box(
-          circ, pauli0, angle0, cx_config);
+          circ, SpSymPauliTensor(pauli0) * SpSymPauliTensor({}, angle0),
+          cx_config);
     } else {
       PauliVert vert1 = *it;
-      const QubitPauliTensor &pauli1 = pg.graph_[vert1].tensor_;
+      const SpPauliStabiliser &pauli1 = pg.graph_[vert1].tensor_;
       const Expr &angle1 = pg.graph_[vert1].angle_;
       ++it;
       append_pauli_gadget_pair_as_box(
-          circ, pauli0, angle0, pauli1, angle1, cx_config);
-      // append_pauli_gadget_pair(circ, pauli0, angle0, pauli1, angle1,
-      // cx_config);
+          circ, SpSymPauliTensor(pauli0) * SpSymPauliTensor({}, angle0),
+          SpSymPauliTensor(pauli1) * SpSymPauliTensor({}, angle1), cx_config);
     }
   }
   Circuit cliff_circuit = unitary_rev_tableau_to_circuit(pg.cliff_);
@@ -129,41 +129,37 @@ Circuit pauli_graph_to_pauli_exp_box_circuit_sets(
   while (it != vertices.end()) {
     const PauliGadgetProperties &pgp = pg.graph_[*it];
     QubitOperator gadget_map;
-    gadget_map[pgp.tensor_] = pgp.angle_;
+    insert_into_gadget_map(gadget_map, pgp);
     ++it;
     while (it != vertices.end()) {
       const PauliGadgetProperties &pauli_gadget = pg.graph_[*it];
-      QubitOperator::iterator pgs_iter = gadget_map.find(pauli_gadget.tensor_);
-      if (pgs_iter != gadget_map.end()) {
-        insert_into_gadget_map(gadget_map, pauli_gadget);
-      } else {
-        bool commutes_with_all = true;
-        for (const std::pair<const QubitPauliTensor, Expr> &pv : gadget_map) {
-          if (!pauli_gadget.tensor_.commutes_with(pv.first)) {
-            commutes_with_all = false;
-            break;
-          }
+      bool commutes_with_all = true;
+      for (const std::pair<const SpPauliString, Expr> &pv : gadget_map) {
+        if (!pauli_gadget.tensor_.commutes_with(pv.first)) {
+          commutes_with_all = false;
+          break;
         }
-        if (!commutes_with_all) break;
-        insert_into_gadget_map(gadget_map, pauli_gadget);
       }
+      if (!commutes_with_all) break;
+      insert_into_gadget_map(gadget_map, pauli_gadget);
       ++it;
     }
     if (gadget_map.size() == 1) {
-      const std::pair<const QubitPauliTensor, Expr> &pgp0 = *gadget_map.begin();
+      const std::pair<const SpPauliString, Expr> &pgp0 = *gadget_map.begin();
       append_single_pauli_gadget_as_pauli_exp_box(
-          circ, pgp0.first, pgp0.second, cx_config);
+          circ, SpSymPauliTensor(pgp0.first.string, pgp0.second), cx_config);
     } else if (gadget_map.size() == 2) {
-      const std::pair<const QubitPauliTensor, Expr> &pgp0 = *gadget_map.begin();
-      const std::pair<const QubitPauliTensor, Expr> &pgp1 =
+      const std::pair<const SpPauliString, Expr> &pgp0 = *gadget_map.begin();
+      const std::pair<const SpPauliString, Expr> &pgp1 =
           *(++gadget_map.begin());
       append_pauli_gadget_pair_as_box(
-          circ, pgp0.first, pgp0.second, pgp1.first, pgp1.second, cx_config);
+          circ, SpSymPauliTensor(pgp0.first.string, pgp0.second),
+          SpSymPauliTensor(pgp1.first.string, pgp1.second), cx_config);
     } else {
-      std::list<std::pair<QubitPauliTensor, Expr>> gadgets;
-      for (const std::pair<const QubitPauliTensor, Expr> &qps_pair :
-           gadget_map) {
-        gadgets.push_back(qps_pair);
+      std::list<SpSymPauliTensor> gadgets;
+      for (const std::pair<const SpPauliString, Expr> &qps_pair : gadget_map) {
+        gadgets.push_back(
+            SpSymPauliTensor(qps_pair.first.string, qps_pair.second));
       }
       append_commuting_pauli_gadget_set_as_box(circ, gadgets, cx_config);
     }
diff --git a/tket/src/Diagonalisation/DiagUtils.cpp b/tket/src/Diagonalisation/DiagUtils.cpp
index 3177d34675..70d5a5962d 100644
--- a/tket/src/Diagonalisation/DiagUtils.cpp
+++ b/tket/src/Diagonalisation/DiagUtils.cpp
@@ -18,14 +18,14 @@ namespace tket {
 
 void insert_into_gadget_map(
     QubitOperator &gadget_map, const PauliGadgetProperties &pgp) {
-  QubitOperator::iterator iter = gadget_map.find(pgp.tensor_);
+  SpSymPauliTensor gadget(pgp.tensor_);
+  gadget.coeff *= pgp.angle_;
+  SpPauliString ps(gadget);
+  QubitOperator::iterator iter = gadget_map.find(ps);
   if (iter == gadget_map.end())
-    gadget_map[pgp.tensor_] = pgp.angle_;
+    gadget_map[ps] = gadget.coeff;
   else {
-    QubitPauliTensor string_to_insert = pgp.tensor_ * iter->first;
-    Expr ang_to_insert = pgp.angle_ * iter->second;
-    gadget_map.erase(iter);
-    gadget_map[string_to_insert] = ang_to_insert;
+    iter->second += gadget.coeff;
   }
 }
 
diff --git a/tket/src/Diagonalisation/Diagonalisation.cpp b/tket/src/Diagonalisation/Diagonalisation.cpp
index a2e30ffb33..354f522d3d 100644
--- a/tket/src/Diagonalisation/Diagonalisation.cpp
+++ b/tket/src/Diagonalisation/Diagonalisation.cpp
@@ -23,8 +23,8 @@
 namespace tket {
 
 void check_easy_diagonalise(
-    std::list<std::pair<QubitPauliTensor, Expr>> &gadgets,
-    std::set<Qubit> &qubits, Circuit &circ) {
+    std::list<SpSymPauliTensor> &gadgets, std::set<Qubit> &qubits,
+    Circuit &circ) {
   Conjugations conjugations;
   std::set<Qubit>::iterator qb_iter = qubits.begin();
   for (std::set<Qubit>::iterator next = qb_iter; qb_iter != qubits.end();
@@ -32,11 +32,8 @@ void check_easy_diagonalise(
     ++next;
     Pauli p1 = Pauli::I;
     bool remove_qb = true;
-    for (const std::pair<QubitPauliTensor, Expr> &pgp : gadgets) {
-      std::map<tket::Qubit, tket::Pauli>::const_iterator map_iter =
-          pgp.first.string.map.find(*qb_iter);
-      if (map_iter == pgp.first.string.map.end()) continue;
-      Pauli p2 = map_iter->second;
+    for (const SpSymPauliTensor &gadget : gadgets) {
+      Pauli p2 = gadget.get(*qb_iter);
       if (p2 == Pauli::I) continue;
       if (p1 == Pauli::I) {
         p1 = p2;
@@ -60,21 +57,20 @@ void check_easy_diagonalise(
         case Pauli::Z:
           break;
         default:
-          throw UnknownPauli();
+          throw std::logic_error(
+              "Unknown Pauli encountered in checking diagonalisation");
       }
       qubits.erase(qb_iter);
     }
   }
-  for (std::list<std::pair<QubitPauliTensor, Expr>>::iterator iter =
-           gadgets.begin();
-       iter != gadgets.end(); ++iter) {
-    apply_conjugations(iter->first, conjugations);
+  for (SpSymPauliTensor &gadget : gadgets) {
+    apply_conjugations(gadget, conjugations);
   }
 }
 
 std::optional<std::pair<Pauli, Pauli>> check_pair_compatibility(
     const Qubit &qb1, const Qubit &qb2,
-    const std::list<std::pair<QubitPauliTensor, Expr>> &gadgets) {
+    const std::list<SpSymPauliTensor> &gadgets) {
   if (qb1 == qb2) return std::nullopt;
 
   /* Do exhaustive search for a Pauli A and Pauli B that
@@ -83,20 +79,9 @@ std::optional<std::pair<Pauli, Pauli>> check_pair_compatibility(
   for (Pauli pauli1 : paulis) {
     for (Pauli pauli2 : paulis) {
       bool found_pair = true;
-      for (const std::pair<QubitPauliTensor, Expr> &pgp : gadgets) {
-        Pauli inner_p_1;
-        QubitPauliMap::const_iterator iter1 = pgp.first.string.map.find(qb1);
-        if (iter1 == pgp.first.string.map.end())
-          inner_p_1 = Pauli::I;
-        else
-          inner_p_1 = iter1->second;
-
-        Pauli inner_p_2;
-        QubitPauliMap::const_iterator iter2 = pgp.first.string.map.find(qb2);
-        if (iter2 == pgp.first.string.map.end())
-          inner_p_2 = Pauli::I;
-        else
-          inner_p_2 = iter2->second;
+      for (const SpSymPauliTensor &gadget : gadgets) {
+        Pauli inner_p_1 = gadget.get(qb1);
+        Pauli inner_p_2 = gadget.get(qb2);
 
         if (inner_p_1 == Pauli::I || inner_p_1 == pauli1) {
           if (!(inner_p_2 == Pauli::I || inner_p_2 == pauli2)) {
@@ -120,23 +105,18 @@ std::optional<std::pair<Pauli, Pauli>> check_pair_compatibility(
 }
 
 void greedy_diagonalise(
-    const std::list<std::pair<QubitPauliTensor, Expr>> &gadgets,
-    std::set<Qubit> &qubits, Conjugations &conjugations, Circuit &circ,
-    CXConfigType cx_config) {
+    const std::list<SpSymPauliTensor> &gadgets, std::set<Qubit> &qubits,
+    Conjugations &conjugations, Circuit &circ, CXConfigType cx_config) {
   unsigned total_counter = UINT_MAX;
   QubitPauliMap to_diag;
-  for (std::list<std::pair<QubitPauliTensor, Expr>>::const_iterator pgp_iter =
-           gadgets.begin();
-       pgp_iter != gadgets.end(); ++pgp_iter) {
+  for (const SpSymPauliTensor &gadget : gadgets) {
     unsigned support_counter = 0;
     QubitPauliMap to_diag_candidates;
     for (const Qubit &qb : qubits) {
-      QubitPauliMap::const_iterator pauli_iter =
-          pgp_iter->first.string.map.find(qb);
-      if (pauli_iter == pgp_iter->first.string.map.end()) continue;
-      if (pauli_iter->second != Pauli::I) {
+      Pauli p = gadget.get(qb);
+      if (p != Pauli::I) {
         ++support_counter;
-        to_diag_candidates.insert(*pauli_iter);
+        to_diag_candidates.insert({qb, p});
       }
     }
     if (support_counter < total_counter && support_counter > 1) {
@@ -147,11 +127,9 @@ void greedy_diagonalise(
   if (to_diag.empty()) {
     throw std::logic_error("Brute Force Diagonalise can't find a candidate!");
   }
-  for (QubitPauliMap::iterator qb_p_iter = to_diag.begin();
-       qb_p_iter != to_diag.end(); ++qb_p_iter) {
-    const Qubit &qb = qb_p_iter->first;
-    Pauli p = qb_p_iter->second;
-    switch (p) {
+  for (const std::pair<const Qubit, Pauli> &qp : to_diag) {
+    const Qubit &qb = qp.first;
+    switch (qp.second) {
       case Pauli::X: {
         conjugations.push_back({OpType::H, {qb}});
         circ.add_op<Qubit>(OpType::H, {qb});
@@ -167,7 +145,7 @@ void greedy_diagonalise(
       }
       case Pauli::I:
       default:
-        throw UnknownPauli();
+        throw std::logic_error("Unknown Pauli in greedy diagonalisation.");
     }
   }
   qubit_vector_t diag_qubits;
@@ -238,15 +216,15 @@ void greedy_diagonalise(
       break;
     }
     default:
-      throw UnknownCXConfigType();
+      throw std::logic_error("Unknown CXConfigType in greedy diagonalisation.");
   }
   qubits.erase(first_qb);
 }
 
 /* Diagonalise a set of Pauli Gadgets simultaneously using Cliffords*/
 Circuit mutual_diagonalise(
-    std::list<std::pair<QubitPauliTensor, Expr>> &gadgets,
-    std::set<Qubit> qubits, CXConfigType cx_config) {
+    std::list<SpSymPauliTensor> &gadgets, std::set<Qubit> qubits,
+    CXConfigType cx_config) {
   Circuit cliff_circ;
   for (const Qubit &qb : qubits) {
     cliff_circ.add_qubit(qb);
@@ -292,7 +270,7 @@ Circuit mutual_diagonalise(
         }
         case Pauli::I:
         default:
-          throw UnknownPauli();
+          throw std::logic_error("Unknown Pauli in mutual diagonalisation.");
       }
       switch (p2) {
         case Pauli::X: {
@@ -310,7 +288,7 @@ Circuit mutual_diagonalise(
         }
         case Pauli::I:
         default:
-          throw UnknownPauli();
+          throw std::logic_error("Unknown Pauli in mutual diagonalisation.");
       }
       conjugations.push_back({OpType::CX, {qb_a, qb_b}});
       cliff_circ.add_op<Qubit>(OpType::CX, {qb_a, qb_b});
@@ -321,10 +299,8 @@ Circuit mutual_diagonalise(
     if (!found_match) {
       greedy_diagonalise(gadgets, qubits, conjugations, cliff_circ, cx_config);
     }
-    for (std::list<std::pair<QubitPauliTensor, Expr>>::iterator iter =
-             gadgets.begin();
-         iter != gadgets.end(); ++iter) {
-      apply_conjugations(iter->first, conjugations);
+    for (SpSymPauliTensor &gadget : gadgets) {
+      apply_conjugations(gadget, conjugations);
     }
     // we may have made some easy-to-remove qubits
     check_easy_diagonalise(gadgets, qubits, cliff_circ);
@@ -333,7 +309,8 @@ Circuit mutual_diagonalise(
 }
 
 void apply_conjugations(
-    QubitPauliTensor &qps, const Conjugations &conjugations) {
+    SpSymPauliTensor &qps, const Conjugations &conjugations) {
+  SpPauliStabiliser stab(qps.string);
   for (const auto &optype_qubit_pair : conjugations) {
     OpType ot = optype_qubit_pair.first;
     const qubit_vector_t &qbs = optype_qubit_pair.second;
@@ -348,18 +325,21 @@ void apply_conjugations(
       case OpType::Vdg:
       case OpType::X:
       case OpType::Z:
-        conjugate_PauliTensor(qps, ot, qbs[0]);
+        conjugate_PauliTensor(stab, ot, qbs[0]);
         break;
       case OpType::CX:
-        conjugate_PauliTensor(qps, ot, qbs[0], qbs[1]);
+        conjugate_PauliTensor(stab, ot, qbs[0], qbs[1]);
         break;
       case OpType::XXPhase3:
-        conjugate_PauliTensor(qps, ot, qbs[0], qbs[1], qbs[2]);
+        conjugate_PauliTensor(stab, ot, qbs[0], qbs[1], qbs[2]);
         break;
       default:
-        throw UnknownOpType();
+        throw std::logic_error(
+            "Unknown OpType received when applying conjugations.");
     }
   }
+  qps.string = stab.string;
+  qps.coeff *= cast_coeff<quarter_turns_t, Expr>(stab.coeff);
 }
 
 }  // namespace tket
diff --git a/tket/src/Diagonalisation/PauliPartition.cpp b/tket/src/Diagonalisation/PauliPartition.cpp
index 39b7f19675..b784284029 100644
--- a/tket/src/Diagonalisation/PauliPartition.cpp
+++ b/tket/src/Diagonalisation/PauliPartition.cpp
@@ -24,9 +24,9 @@
 namespace tket {
 
 PauliPartitionerGraph::PauliPartitionerGraph(
-    const std::list<QubitPauliString>& strings, PauliPartitionStrat strat) {
+    const std::list<SpPauliString>& strings, PauliPartitionStrat strat) {
   pac_graph = {};
-  for (const QubitPauliString& tensor : strings) {
+  for (const SpPauliString& tensor : strings) {
     PauliACVertex new_vert = boost::add_vertex(tensor, pac_graph);
     BGL_FORALL_VERTICES(v, pac_graph, PauliACGraph) {
       if (v != new_vert) {
@@ -64,13 +64,13 @@ class AbstractGraphData {
 
   // Return the ID of the string (and also assign a new ID if the string
   // was not seen before); the eventual IDs will form an interval {0,1,2,...,n}.
-  std::size_t get_vertex_id(const QubitPauliString& pauli_string);
+  std::size_t get_vertex_id(const SpPauliString& pauli_string);
 
   typedef
       // KEY: the Pauli string present in a vertex
       // VALUE: an integer label for that vertex.
       //      The labels will be a contiguous interval {0,1,2,...,m}.
-      std::map<QubitPauliString, std::size_t>
+      std::map<SpPauliString, std::size_t>
           VertexMap;
 
   const graphs::AdjacencyData& get_adjacency_data() const;
@@ -83,7 +83,7 @@ class AbstractGraphData {
 };
 
 std::size_t AbstractGraphData::get_vertex_id(
-    const QubitPauliString& pauli_string) {
+    const SpPauliString& pauli_string) {
   const auto citer = m_vertex_map.find(pauli_string);
   if (citer != m_vertex_map.cend()) {
     return citer->second;
@@ -125,7 +125,7 @@ AbstractGraphData::AbstractGraphData(const PauliACGraph& pac_graph)
   }
 }
 
-static std::map<unsigned, std::list<QubitPauliString>>
+static std::map<unsigned, std::list<SpPauliString>>
 get_partitioned_paulis_for_exhaustive_method(const PauliACGraph& pac_graph) {
   const AbstractGraphData data(pac_graph);
   const graphs::GraphColouringResult colouring =
@@ -133,10 +133,10 @@ get_partitioned_paulis_for_exhaustive_method(const PauliACGraph& pac_graph) {
 
   TKET_ASSERT(data.get_vertex_map().size() == colouring.colours.size());
 
-  std::map<unsigned, std::list<QubitPauliString>> colour_map;
+  std::map<unsigned, std::list<SpPauliString>> colour_map;
 
   for (const auto& entry : data.get_vertex_map()) {
-    const QubitPauliString& vertex = entry.first;
+    const SpPauliString& vertex = entry.first;
     const std::size_t id = entry.second;
     TKET_ASSERT(id < colouring.colours.size());
 
@@ -153,7 +153,7 @@ get_partitioned_paulis_for_exhaustive_method(const PauliACGraph& pac_graph) {
   return colour_map;
 }
 
-static std::map<unsigned, std::list<QubitPauliString>>
+static std::map<unsigned, std::list<SpPauliString>>
 get_partitioned_paulis_for_largest_first_method(const PauliACGraph& pac_graph) {
   std::vector<unsigned> order_vec(boost::num_vertices(pac_graph));
   std::iota(order_vec.begin(), order_vec.end(), 0);
@@ -175,7 +175,7 @@ get_partitioned_paulis_for_largest_first_method(const PauliACGraph& pac_graph) {
           order_vec.begin(), boost::identity_property_map()),
       colour_prop_map);
 
-  std::map<unsigned, std::list<QubitPauliString>> colour_map;
+  std::map<unsigned, std::list<SpPauliString>> colour_map;
   BGL_FORALL_VERTICES(v, pac_graph, PauliACGraph) {
     unsigned v_colour = colour_prop_map[v];
     colour_map[v_colour].push_back(pac_graph[v]);
@@ -183,7 +183,7 @@ get_partitioned_paulis_for_largest_first_method(const PauliACGraph& pac_graph) {
   return colour_map;
 }
 
-std::map<unsigned, std::list<QubitPauliString>>
+std::map<unsigned, std::list<SpPauliString>>
 PauliPartitionerGraph::partition_paulis(GraphColourMethod method) const {
   switch (method) {
     case GraphColourMethod::LargestFirst:
@@ -202,23 +202,20 @@ PauliPartitionerGraph::partition_paulis(GraphColourMethod method) const {
   }
 }
 
-static std::list<std::list<QubitPauliString>>
+static std::list<std::list<SpPauliString>>
 get_term_sequence_for_lazy_colouring_method(
-    const std::list<QubitPauliString>& strings, PauliPartitionStrat strat) {
-  std::list<std::list<QubitPauliString>> terms;
-  for (const QubitPauliString& qpt : strings) {
+    const std::list<SpPauliString>& strings, PauliPartitionStrat strat) {
+  std::list<std::list<SpPauliString>> terms;
+  for (const SpPauliString& qpt : strings) {
     if (terms.empty()) {
       terms.push_back({qpt});
       continue;
     }
 
     bool found_bin = false;
-    for (std::list<std::list<QubitPauliString>>::iterator term_iter =
-             terms.begin();
-         term_iter != terms.end(); ++term_iter) {
-      const std::list<QubitPauliString>& qpt_list = *term_iter;
+    for (std::list<SpPauliString>& qpt_list : terms) {
       bool viable_bin = true;
-      for (const QubitPauliString& qpt2 : qpt_list) {
+      for (const SpPauliString& qpt2 : qpt_list) {
         switch (strat) {
           case (PauliPartitionStrat::NonConflictingSets): {
             bool conflict = !qpt.conflicting_qubits(qpt2).empty();
@@ -237,7 +234,7 @@ get_term_sequence_for_lazy_colouring_method(
         if (viable_bin == false) break;
       }
       if (viable_bin) {
-        term_iter->push_back(qpt);
+        qpt_list.push_back(qpt);
         found_bin = true;
         break;
       }
@@ -250,24 +247,24 @@ get_term_sequence_for_lazy_colouring_method(
   return terms;
 }
 
-static std::list<std::list<QubitPauliString>>
+static std::list<std::list<SpPauliString>>
 get_term_sequence_with_constructed_dependency_graph(
-    const std::list<QubitPauliString>& strings, PauliPartitionStrat strat,
+    const std::list<SpPauliString>& strings, PauliPartitionStrat strat,
     GraphColourMethod method) {
-  std::list<std::list<QubitPauliString>> terms;
+  std::list<std::list<SpPauliString>> terms;
   PauliPartitionerGraph pp(strings, strat);
-  std::map<unsigned, std::list<QubitPauliString>> colour_map =
+  std::map<unsigned, std::list<SpPauliString>> colour_map =
       pp.partition_paulis(method);
 
-  for (const std::pair<const unsigned, std::list<QubitPauliString>>&
-           colour_pair : colour_map) {
+  for (const std::pair<const unsigned, std::list<SpPauliString>>& colour_pair :
+       colour_map) {
     terms.push_back(colour_pair.second);
   }
   return terms;
 }
 
-std::list<std::list<QubitPauliString>> term_sequence(
-    const std::list<QubitPauliString>& strings, PauliPartitionStrat strat,
+std::list<std::list<SpPauliString>> term_sequence(
+    const std::list<SpPauliString>& strings, PauliPartitionStrat strat,
     GraphColourMethod method) {
   switch (method) {
     case GraphColourMethod::Lazy:
diff --git a/tket/src/Gate/Gate.cpp b/tket/src/Gate/Gate.cpp
index af81603356..94c316d8cf 100644
--- a/tket/src/Gate/Gate.cpp
+++ b/tket/src/Gate/Gate.cpp
@@ -28,7 +28,7 @@
 #include "tket/OpType/OpTypeInfo.hpp"
 #include "tket/Ops/Op.hpp"
 #include "tket/Utils/Expression.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 
 namespace tket {
 using std::stringstream;
diff --git a/tket/src/MeasurementSetup/MeasurementReduction.cpp b/tket/src/MeasurementSetup/MeasurementReduction.cpp
index e37e3a55f3..b0a4a09f07 100644
--- a/tket/src/MeasurementSetup/MeasurementReduction.cpp
+++ b/tket/src/MeasurementSetup/MeasurementReduction.cpp
@@ -17,11 +17,11 @@
 namespace tket {
 
 MeasurementSetup measurement_reduction(
-    const std::list<QubitPauliString>& strings, PauliPartitionStrat strat,
+    const std::list<SpPauliString>& strings, PauliPartitionStrat strat,
     GraphColourMethod method, CXConfigType cx_config) {
   std::set<Qubit> qubits;
-  for (const QubitPauliString& qpt : strings) {
-    for (const std::pair<const Qubit, Pauli>& qb_p : qpt.map)
+  for (const SpPauliString& qpt : strings) {
+    for (const std::pair<const Qubit, Pauli>& qb_p : qpt.string)
       qubits.insert(qb_p.first);
   }
 
@@ -32,15 +32,14 @@ MeasurementSetup measurement_reduction(
     ++u;
   }
 
-  std::list<std::list<QubitPauliString>> all_terms =
+  std::list<std::list<SpPauliString>> all_terms =
       term_sequence(strings, strat, method);
   MeasurementSetup ms;
   unsigned i = 0;
-  for (const std::list<QubitPauliString>& terms : all_terms) {
-    std::list<std::pair<QubitPauliTensor, Expr>> gadgets;
-    for (const QubitPauliString& string : terms) {
-      QubitPauliTensor qps(string);
-      gadgets.push_back({qps, 1.});
+  for (const std::list<SpPauliString>& terms : all_terms) {
+    std::list<SpSymPauliTensor> gadgets;
+    for (const SpPauliString& string : terms) {
+      gadgets.push_back(string);
     }
 
     std::set<Qubit> mutable_qb_set(qubits);
@@ -53,18 +52,15 @@ MeasurementSetup measurement_reduction(
     }
     ms.add_measurement_circuit(cliff_circ);
 
-    std::list<std::pair<QubitPauliTensor, Expr>>::const_iterator gadgets_iter =
-        gadgets.begin();
-    for (const QubitPauliString& string : terms) {
-      const std::pair<QubitPauliTensor, Expr>& new_gadget = *gadgets_iter;
+    std::list<SpSymPauliTensor>::const_iterator gadgets_iter = gadgets.begin();
+    for (const SpPauliString& string : terms) {
+      SpPauliStabiliser stab(*gadgets_iter);  // Force coeff to be real
       std::vector<unsigned> bits;
-      for (const std::pair<const Qubit, Pauli>& qp_pair :
-           new_gadget.first.string.map) {
+      for (const std::pair<const Qubit, Pauli>& qp_pair : stab.string) {
         if (qp_pair.second == Pauli::Z)
           bits.push_back(qb_location_map.at(qp_pair.first));
       }
-      bool invert = (std::abs(new_gadget.first.coeff + Complex(1)) < EPS);
-      ms.add_result_for_term(string, {i, bits, invert});
+      ms.add_result_for_term(string, {i, bits, stab.is_real_negative()});
       ++gadgets_iter;
     }
     ++i;
diff --git a/tket/src/MeasurementSetup/MeasurementSetup.cpp b/tket/src/MeasurementSetup/MeasurementSetup.cpp
index 8b556166a5..3b8aead2dd 100644
--- a/tket/src/MeasurementSetup/MeasurementSetup.cpp
+++ b/tket/src/MeasurementSetup/MeasurementSetup.cpp
@@ -40,17 +40,12 @@ void MeasurementSetup::add_measurement_circuit(const Circuit &circ) {
 }
 
 void MeasurementSetup::add_result_for_term(
-    const QubitPauliString &term, const MeasurementBitMap &result) {
+    const SpPauliString &term, const MeasurementBitMap &result) {
   result_map[term].push_back(result);
 }
 
-void MeasurementSetup::add_result_for_term(
-    const QubitPauliTensor &term, const MeasurementBitMap &result) {
-  add_result_for_term(term.string, result);
-}
-
 bool MeasurementSetup::verify() const {
-  std::map<std::pair<unsigned, unsigned>, QubitPauliTensor> pauli_map;
+  std::map<std::pair<unsigned, unsigned>, SpPauliStabiliser> pauli_map;
   // Identify Paulis measured onto each bit
   for (unsigned circ_id = 0; circ_id < measurement_circs.size(); ++circ_id) {
     Circuit circ = measurement_circs[circ_id];
@@ -68,15 +63,15 @@ bool MeasurementSetup::verify() const {
       pauli_map.insert({{circ_id, readout[qb]}, tab.get_zrow(qb)});
     }
   }
-  for (const std::pair<const QubitPauliString, std::vector<MeasurementBitMap>>
+  for (const std::pair<const SpPauliString, std::vector<MeasurementBitMap>>
            &term : result_map) {
     for (const MeasurementBitMap &bits : term.second) {
-      QubitPauliTensor total;
+      SpPauliStabiliser total;
       for (unsigned bit : bits.bits) {
         total = total * pauli_map[{bits.circ_index, bit}];
       }
-      if (bits.invert) total.coeff *= -1.;
-      QubitPauliTensor term_tensor(term.first);
+      if (bits.invert) total.coeff = (total.coeff + 2) % 4;
+      SpPauliStabiliser term_tensor(term.first);
       if (total != term_tensor) {
         std::stringstream out;
         out << "Invalid MeasurementSetup: expecting to measure "
@@ -94,7 +89,7 @@ std::string MeasurementSetup::to_str() const {
   ss << "Circuits: ";
   ss << measurement_circs.size();
   ss << "\n";
-  for (const std::pair<const QubitPauliString, std::vector<MeasurementBitMap>>
+  for (const std::pair<const SpPauliString, std::vector<MeasurementBitMap>>
            &tensor_map : result_map) {
     ss << "|| ";
     ss << tensor_map.first.to_str();
@@ -123,10 +118,10 @@ void from_json(
 
 void to_json(nlohmann::json &j, const MeasurementSetup &setup) {
   std::vector<std::pair<
-      QubitPauliString, std::vector<MeasurementSetup::MeasurementBitMap>>>
+      SpPauliString, std::vector<MeasurementSetup::MeasurementBitMap>>>
       map_list;
   for (const std::pair<
-           const QubitPauliString,
+           const SpPauliString,
            std::vector<MeasurementSetup::MeasurementBitMap>> &tensor_map :
        setup.get_result_map()) {
     map_list.push_back(tensor_map);
@@ -135,7 +130,17 @@ void to_json(nlohmann::json &j, const MeasurementSetup &setup) {
   std::sort(map_list.begin(), map_list.end(), [](auto pair1, auto pair2) {
     return pair1.first < pair2.first;
   });
-  j["result_map"] = map_list;
+  std::vector<std::pair<
+      QubitPauliMap, std::vector<MeasurementSetup::MeasurementBitMap>>>
+      map_encoding;
+  for (const std::pair<
+           SpPauliString, std::vector<MeasurementSetup::MeasurementBitMap>>
+           &tensor_map : map_list) {
+    map_encoding.push_back({tensor_map.first.string, tensor_map.second});
+  }
+  // Convert SpPauliString to QubitPauliMap for backwards compatibility with
+  // before templated PauliTensor
+  j["result_map"] = map_encoding;
   j["circs"] = setup.get_circs();
 }
 
@@ -147,7 +152,7 @@ void from_json(const nlohmann::json &j, MeasurementSetup &setup) {
     for (auto second_it = it->at(1).begin(); second_it != it->at(1).end();
          ++second_it) {
       setup.add_result_for_term(
-          it->at(0).get<QubitPauliString>(),
+          SpPauliString(it->at(0).get<QubitPauliMap>()),
           second_it->get<MeasurementSetup::MeasurementBitMap>());
     }
   }
diff --git a/tket/src/PauliGraph/ConjugatePauliFunctions.cpp b/tket/src/PauliGraph/ConjugatePauliFunctions.cpp
index 7515545d59..31a2b26852 100644
--- a/tket/src/PauliGraph/ConjugatePauliFunctions.cpp
+++ b/tket/src/PauliGraph/ConjugatePauliFunctions.cpp
@@ -99,20 +99,20 @@ std::pair<Pauli, bool> conjugate_Pauli(OpType op, Pauli p, bool reverse) {
 }
 
 void conjugate_PauliTensor(
-    QubitPauliTensor& qpt, OpType op, const Qubit& q, bool reverse) {
-  QubitPauliMap::iterator it = qpt.string.map.find(q);
-  if (it == qpt.string.map.end()) {
+    SpPauliStabiliser& qpt, OpType op, const Qubit& q, bool reverse) {
+  QubitPauliMap::iterator it = qpt.string.find(q);
+  if (it == qpt.string.end()) {
     return;
   }
   std::pair<Pauli, bool> conj = conjugate_Pauli(op, it->second, reverse);
   it->second = conj.first;
   if (conj.second) {
-    qpt.coeff *= -1;
+    qpt.coeff = (qpt.coeff + 2) % 4;
   }
 }
 
 void conjugate_PauliTensor(
-    QubitPauliTensor& qpt, OpType op, const Qubit& q0, const Qubit& q1) {
+    SpPauliStabiliser& qpt, OpType op, const Qubit& q0, const Qubit& q1) {
   static const std::map<std::pair<Pauli, Pauli>, std::tuple<Pauli, Pauli, bool>>
       cx_conj_lut{
           {{Pauli::I, Pauli::I}, {Pauli::I, Pauli::I, false}},
@@ -135,29 +135,18 @@ void conjugate_PauliTensor(
   if (op != OpType::CX) {
     throw BadOpType("Conjugations of Pauli strings only defined for CXs", op);
   }
-  QubitPauliMap::iterator it0 = qpt.string.map.find(q0);
-  QubitPauliMap::iterator it1 = qpt.string.map.find(q1);
-  Pauli p0, p1;
-  if (it0 == qpt.string.map.end()) {
-    p0 = Pauli::I;
-  } else {
-    p0 = it0->second;
-  }
-  if (it1 == qpt.string.map.end()) {
-    p1 = Pauli::I;
-  } else {
-    p1 = it1->second;
-  }
+  Pauli p0 = qpt.get(q0);
+  Pauli p1 = qpt.get(q1);
   std::tuple<Pauli, Pauli, bool> conj = cx_conj_lut.at({p0, p1});
-  qpt.string.map[q0] = std::get<0>(conj);
-  qpt.string.map[q1] = std::get<1>(conj);
+  qpt.set(q0, std::get<0>(conj));
+  qpt.set(q1, std::get<1>(conj));
   if (std::get<2>(conj)) {
-    qpt.coeff *= -1;
+    qpt.coeff = (qpt.coeff + 2) % 4;
   }
 }
 
 void conjugate_PauliTensor(
-    QubitPauliTensor& qpt, OpType op, const Qubit& q0, const Qubit& q1,
+    SpPauliStabiliser& qpt, OpType op, const Qubit& q0, const Qubit& q1,
     const Qubit& q2) {
   /* XXPhase3 gates used for conjugations always implicitly use angle π/2
    * i.e. XXPhase3(1/2). Note that up to phase the 3-qb gate is self-inverse:
@@ -179,20 +168,12 @@ void conjugate_PauliTensor(
     throw BadOpType(
         "3qb-Conjugations of Pauli strings only defined for XXPhase3", op);
   }
-  Conjugations equiv = {{OpType::H, {q1}},      {OpType::CX, {q1, q2}},
-                        {OpType::CX, {q1, q0}}, {OpType::H, {q0}},
-                        {OpType::H, {q1}},      {OpType::CX, {q0, q2}},
-                        {OpType::H, {q0}},      {OpType::X, {q0}},
-                        {OpType::X, {q1}},      {OpType::X, {q2}}};
-
-  for (auto [op, qbs] : equiv) {
-    if (qbs.size() == 1) {
-      conjugate_PauliTensor(qpt, op, qbs[0]);
-    } else {
-      TKET_ASSERT(qbs.size() == 2);
-      conjugate_PauliTensor(qpt, op, qbs[0], qbs[1]);
-    }
-  }
+  SpPauliStabiliser xxi_i({{q0, Pauli::X}, {q1, Pauli::X}}, 1);
+  SpPauliStabiliser xix_i({{q0, Pauli::X}, {q2, Pauli::X}}, 1);
+  SpPauliStabiliser ixx_i({{q1, Pauli::X}, {q2, Pauli::X}}, 1);
+  if (!xxi_i.commutes_with(qpt)) qpt = qpt * xxi_i;
+  if (!xix_i.commutes_with(qpt)) qpt = qpt * xix_i;
+  if (!ixx_i.commutes_with(qpt)) qpt = qpt * ixx_i;
 }
 
 }  // namespace tket
diff --git a/tket/src/PauliGraph/PauliGraph.cpp b/tket/src/PauliGraph/PauliGraph.cpp
index 1ec7de2a87..7e7f7dc366 100644
--- a/tket/src/PauliGraph/PauliGraph.cpp
+++ b/tket/src/PauliGraph/PauliGraph.cpp
@@ -19,13 +19,13 @@
 #include "tket/Gate/Gate.hpp"
 #include "tket/OpType/OpType.hpp"
 #include "tket/Utils/GraphHeaders.hpp"
-#include "tket/Utils/PauliStrings.hpp"
+#include "tket/Utils/PauliTensor.hpp"
 
 namespace tket {
 
 bool operator<(
     const PauliGadgetProperties &pgp1, const PauliGadgetProperties &pgp2) {
-  return (pgp1.tensor_.string < pgp2.tensor_.string);
+  return (SpPauliString)pgp1.tensor_ < (SpPauliString)pgp2.tensor_;
 }
 
 PauliGraph::PauliGraph(unsigned n) : cliff_(n) {}
@@ -119,7 +119,7 @@ void PauliGraph::apply_gate_at_end(
       break;
     }
     case OpType::Rz: {
-      QubitPauliTensor pauli = cliff_.get_zrow(qbs.at(0));
+      SpPauliStabiliser pauli = cliff_.get_zrow(qbs.at(0));
       Expr angle = gate.get_params().at(0);
       std::optional<unsigned> cliff_angle = equiv_Clifford(angle);
       if (cliff_angle) {
@@ -131,7 +131,7 @@ void PauliGraph::apply_gate_at_end(
       break;
     }
     case OpType::Rx: {
-      QubitPauliTensor pauli = cliff_.get_xrow(qbs.at(0));
+      SpPauliStabiliser pauli = cliff_.get_xrow(qbs.at(0));
       Expr angle = gate.get_params().at(0);
       std::optional<unsigned> cliff_angle = equiv_Clifford(angle);
       if (cliff_angle) {
@@ -154,8 +154,8 @@ void PauliGraph::apply_gate_at_end(
           cliff_.apply_gate_at_end(OpType::Vdg, qbs);
         }
       } else {
-        QubitPauliTensor ypauli =
-            cliff_.get_row_product(QubitPauliTensor(qbs.at(0), Pauli::Y));
+        SpPauliStabiliser ypauli =
+            cliff_.get_row_product(SpPauliStabiliser(qbs.at(0), Pauli::Y));
         apply_pauli_gadget_at_end(ypauli, angle);
       }
       break;
@@ -163,8 +163,8 @@ void PauliGraph::apply_gate_at_end(
     case OpType::PhasedX: {
       Expr alpha = gate.get_params().at(0);
       Expr beta = gate.get_params().at(1);
-      QubitPauliTensor zpauli = cliff_.get_zrow(qbs.at(0));
-      QubitPauliTensor xpauli = cliff_.get_xrow(qbs.at(0));
+      SpPauliStabiliser zpauli = cliff_.get_zrow(qbs.at(0));
+      SpPauliStabiliser xpauli = cliff_.get_xrow(qbs.at(0));
       std::optional<unsigned> cliff_alpha = equiv_Clifford(alpha);
       std::optional<unsigned> cliff_beta = equiv_Clifford(beta);
       // Rz(-b)
@@ -194,12 +194,12 @@ void PauliGraph::apply_gate_at_end(
       break;
     }
     case OpType::T: {
-      QubitPauliTensor pauli = cliff_.get_zrow(qbs.at(0));
+      SpPauliStabiliser pauli = cliff_.get_zrow(qbs.at(0));
       apply_pauli_gadget_at_end(pauli, 0.25);
       break;
     }
     case OpType::Tdg: {
-      QubitPauliTensor pauli = cliff_.get_zrow(qbs.at(0));
+      SpPauliStabiliser pauli = cliff_.get_zrow(qbs.at(0));
       apply_pauli_gadget_at_end(pauli, -0.25);
       break;
     }
@@ -220,21 +220,15 @@ void PauliGraph::apply_gate_at_end(
       std::optional<unsigned> cliff_angle = equiv_Clifford(angle);
       if (cliff_angle) {
         if (cliff_angle.value() != 0) {
-          for (unsigned i = 1; i < qbs.size(); i++) {
-            cliff_.apply_gate_at_end(OpType::CX, {qbs.at(i - 1), qbs.at(i)});
-          }
-          for (unsigned i = 0; i < cliff_angle.value(); i++) {
-            cliff_.apply_gate_at_end(OpType::S, {qbs.back()});
-          }
-          for (unsigned i = qbs.size() - 1; i > 0; i--) {
-            cliff_.apply_gate_at_end(OpType::CX, {qbs.at(i - 1), qbs.at(i)});
-          }
+          QubitPauliMap qpm;
+          for (const Qubit &q : qbs) qpm.insert({q, Pauli::Z});
+          cliff_.apply_pauli_at_end(SpPauliStabiliser(qpm), *cliff_angle);
         }
       } else {
-        QubitPauliTensor pauli =
-            cliff_.get_row_product(QubitPauliTensor(QubitPauliString(
-                std::list<Qubit>{qbs.begin(), qbs.end()},
-                std::list<Pauli>{qbs.size(), Pauli::Z})));
+        QubitPauliMap qpm;
+        for (const Qubit &q : qbs) qpm.insert({q, Pauli::Z});
+        SpPauliStabiliser pauli =
+            cliff_.get_row_product(SpPauliStabiliser(qpm));
         apply_pauli_gadget_at_end(pauli, angle);
       }
       break;
@@ -244,15 +238,13 @@ void PauliGraph::apply_gate_at_end(
       std::optional<unsigned> cliff_angle = equiv_Clifford(angle);
       if (cliff_angle) {
         if (cliff_angle.value() != 0) {
-          cliff_.apply_gate_at_end(OpType::CX, {qbs.at(1), qbs.at(0)});
-          for (unsigned i = 0; i < cliff_angle.value(); i++) {
-            cliff_.apply_gate_at_end(OpType::V, {qbs.back()});
-          }
-          cliff_.apply_gate_at_end(OpType::CX, {qbs.at(1), qbs.at(0)});
+          cliff_.apply_pauli_at_end(
+              SpPauliStabiliser({{qbs.at(0), Pauli::X}, {qbs.at(1), Pauli::X}}),
+              *cliff_angle);
         }
       } else {
-        QubitPauliTensor pauli = cliff_.get_row_product(QubitPauliTensor(
-            QubitPauliString({qbs.at(0), qbs.at(1)}, {Pauli::X, Pauli::X})));
+        SpPauliStabiliser pauli = cliff_.get_row_product(
+            SpPauliStabiliser({{qbs.at(0), Pauli::X}, {qbs.at(1), Pauli::X}}));
         apply_pauli_gadget_at_end(pauli, angle);
       }
       break;
@@ -262,21 +254,13 @@ void PauliGraph::apply_gate_at_end(
       std::optional<unsigned> cliff_angle = equiv_Clifford(angle);
       if (cliff_angle) {
         if (cliff_angle.value() != 0) {
-          const Qubit &arg0 = qbs.at(0);
-          const Qubit &arg1 = qbs.at(1);
-          cliff_.apply_gate_at_end(OpType::S, {arg0});
-          cliff_.apply_gate_at_end(OpType::S, {arg1});
-          cliff_.apply_gate_at_end(OpType::CX, {arg1, arg0});
-          for (unsigned i = 0; i < cliff_angle.value(); i++) {
-            cliff_.apply_gate_at_end(OpType::V, {arg1});
-          }
-          cliff_.apply_gate_at_end(OpType::CX, {arg1, arg0});
-          cliff_.apply_gate_at_end(OpType::Sdg, {arg0});
-          cliff_.apply_gate_at_end(OpType::Sdg, {arg1});
+          cliff_.apply_pauli_at_end(
+              SpPauliStabiliser({{qbs.at(0), Pauli::Y}, {qbs.at(1), Pauli::Y}}),
+              *cliff_angle);
         }
       } else {
-        QubitPauliTensor pauli = cliff_.get_row_product(QubitPauliTensor(
-            QubitPauliString({qbs.at(0), qbs.at(1)}, {Pauli::Y, Pauli::Y})));
+        SpPauliStabiliser pauli = cliff_.get_row_product(
+            SpPauliStabiliser({{qbs.at(0), Pauli::Y}, {qbs.at(1), Pauli::Y}}));
         apply_pauli_gadget_at_end(pauli, angle);
       }
       break;
@@ -288,7 +272,7 @@ void PauliGraph::apply_gate_at_end(
 }
 
 void PauliGraph::apply_pauli_gadget_at_end(
-    const QubitPauliTensor &pauli, const Expr &angle) {
+    const SpPauliStabiliser &pauli, const Expr &angle) {
   PauliVertSet to_search = end_line_;
   PauliVertSet commuted;
   PauliVert new_vert = boost::add_vertex(graph_);
@@ -309,11 +293,11 @@ void PauliGraph::apply_pauli_gadget_at_end(
     if (!ready) continue;
 
     // Check if we can commute past it
-    QubitPauliTensor compare_pauli = graph_[to_compare].tensor_;
+    SpPauliStabiliser compare_pauli = graph_[to_compare].tensor_;
     if (pauli.commutes_with(compare_pauli)) {
       if (pauli.string == compare_pauli.string) {
         // Identical strings - we can merge vertices
-        if (pauli.coeff == compare_pauli.coeff) {
+        if (pauli.is_real_negative() == compare_pauli.is_real_negative()) {
           graph_[to_compare].angle_ += angle;
         } else {
           graph_[to_compare].angle_ -= angle;
diff --git a/tket/src/Transformations/PauliOptimisation.cpp b/tket/src/Transformations/PauliOptimisation.cpp
index 7d4c0f8624..003c5e228c 100644
--- a/tket/src/Transformations/PauliOptimisation.cpp
+++ b/tket/src/Transformations/PauliOptimisation.cpp
@@ -59,7 +59,7 @@ Transform pairwise_pauli_gadgets(CXConfigType cx_config) {
     // We effectively commute non-Clifford rotations to the front of the circuit
     // This gives a sequence of just Pauli gadgets (gadget_circ), followed by
     // all of the Clifford operations (clifford_circ)
-    std::vector<std::pair<QubitPauliTensor, Expr>> pauli_gadgets;
+    std::vector<SpSymPauliTensor> pauli_gadgets;
     // rx_pauli[i] specifies which Pauli gadget would be built by applying an Rx
     // rotation on qubit i and then pushing it through the Cliffords to the
     // front of the circuit. Likewise for rz_pauli with Rz rotations. Clifford
@@ -67,13 +67,13 @@ Transform pairwise_pauli_gadgets(CXConfigType cx_config) {
     // Pauli gadgets accordingly
     Circuit gadget_circ;
     Circuit clifford_circ;
-    std::map<Qubit, QubitPauliTensor> rx_pauli;
-    std::map<Qubit, QubitPauliTensor> rz_pauli;
+    std::map<Qubit, SpPauliStabiliser> rx_pauli;
+    std::map<Qubit, SpPauliStabiliser> rz_pauli;
     for (const Qubit &qb : circ.all_qubits()) {
       gadget_circ.add_qubit(qb);
       clifford_circ.add_qubit(qb);
-      rx_pauli.insert({qb, QubitPauliTensor(qb, Pauli::X)});
-      rz_pauli.insert({qb, QubitPauliTensor(qb, Pauli::Z)});
+      rx_pauli.insert({qb, SpPauliStabiliser(qb, Pauli::X)});
+      rz_pauli.insert({qb, SpPauliStabiliser(qb, Pauli::Z)});
     }
     for (const Bit &cb : circ.all_bits()) {
       gadget_circ.add_bit(cb);
@@ -88,32 +88,32 @@ Transform pairwise_pauli_gadgets(CXConfigType cx_config) {
         // Update rx_pauli and rz_pauli
         case OpType::S: {
           Qubit q(args[0]);
-          rx_pauli[q] = i_ * rz_pauli[q] * rx_pauli[q];
+          rx_pauli[q] = SpPauliStabiliser({}, 1) * rz_pauli[q] * rx_pauli[q];
           break;
         }
         case OpType::V: {
           Qubit q(args[0]);
-          rz_pauli[q] = i_ * rx_pauli[q] * rz_pauli[q];
+          rz_pauli[q] = SpPauliStabiliser({}, 1) * rx_pauli[q] * rz_pauli[q];
           break;
         }
         case OpType::Z: {
           Qubit q(args[0]);
-          rx_pauli[q] = -1. * rx_pauli[q];
+          rx_pauli[q] = SpPauliStabiliser({}, 2) * rx_pauli[q];
           break;
         }
         case OpType::X: {
           Qubit q(args[0]);
-          rz_pauli[q] = -1. * rz_pauli[q];
+          rz_pauli[q] = SpPauliStabiliser({}, 2) * rz_pauli[q];
           break;
         }
         case OpType::Sdg: {
           Qubit q(args[0]);
-          rx_pauli[q] = -i_ * rz_pauli[q] * rx_pauli[q];
+          rx_pauli[q] = SpPauliStabiliser({}, 3) * rz_pauli[q] * rx_pauli[q];
           break;
         }
         case OpType::Vdg: {
           Qubit q(args[0]);
-          rz_pauli[q] = -i_ * rx_pauli[q] * rz_pauli[q];
+          rz_pauli[q] = SpPauliStabiliser({}, 3) * rx_pauli[q] * rz_pauli[q];
           break;
         }
         case OpType::CX: {
@@ -127,13 +127,17 @@ Transform pairwise_pauli_gadgets(CXConfigType cx_config) {
         case OpType::Rz: {
           Qubit q(args[0]);
           Expr angle = (op_ptr)->get_params()[0];
-          pauli_gadgets.push_back({rz_pauli[q], angle});
+          SpSymPauliTensor g =
+              (SpSymPauliTensor)rz_pauli[q] * SpSymPauliTensor({}, angle);
+          pauli_gadgets.push_back(g);
           break;
         }
         case OpType::Rx: {
           Qubit q(args[0]);
           Expr angle = (op_ptr)->get_params()[0];
-          pauli_gadgets.push_back({rx_pauli[q], angle});
+          SpSymPauliTensor g =
+              (SpSymPauliTensor)rx_pauli[q] * SpSymPauliTensor({}, angle);
+          pauli_gadgets.push_back(g);
           break;
         }
         case OpType::noop:
@@ -164,17 +168,14 @@ Transform pairwise_pauli_gadgets(CXConfigType cx_config) {
     // Synthesise pairs of Pauli Gadgets
     unsigned g = 0;
     while (g + 1 < pauli_gadgets.size()) {
-      auto [pauli0, angle0] = pauli_gadgets[g];
-      auto [pauli1, angle1] = pauli_gadgets[g + 1];
       append_pauli_gadget_pair(
-          gadget_circ, pauli0, angle0, pauli1, angle1, cx_config);
+          gadget_circ, pauli_gadgets[g], pauli_gadgets[g + 1], cx_config);
       g += 2;
     }
     // As we synthesised Pauli gadgets 2 at a time, if there were an odd
     // number, we will have one left over, so add that one on its own
     if (g < pauli_gadgets.size()) {
-      auto [pauli, angle] = pauli_gadgets[g];
-      append_single_pauli_gadget(gadget_circ, pauli, angle, cx_config);
+      append_single_pauli_gadget(gadget_circ, pauli_gadgets[g], cx_config);
     }
     // Stitch gadget circuit and Clifford circuit together
     circ = gadget_circ >> clifford_circ;
diff --git a/tket/src/Utils/PauliStrings.cpp b/tket/src/Utils/PauliStrings.cpp
deleted file mode 100644
index c322dfcf11..0000000000
--- a/tket/src/Utils/PauliStrings.cpp
+++ /dev/null
@@ -1,580 +0,0 @@
-// Copyright 2019-2023 Cambridge Quantum Computing
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-//     http://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-#include "tket/Utils/PauliStrings.hpp"
-
-#include <map>
-#include <sstream>
-#include <stdexcept>
-#include <string>
-#include <tkassert/Assert.hpp>
-#include <utility>
-#include <vector>
-
-#include "tket/Utils/Constants.hpp"
-#include "tket/Utils/EigenConfig.hpp"
-#include "tket/Utils/Json.hpp"
-
-namespace tket {
-
-static const CmplxSpMat const_2x2_matrix(
-    Complex tl, Complex tr, Complex bl, Complex br) {
-  CmplxSpMat m(2, 2);
-  if (tl != czero) {
-    m.insert(0, 0) = tl;
-  }
-  if (tr != czero) {
-    m.insert(0, 1) = tr;
-  }
-  if (bl != czero) {
-    m.insert(1, 0) = bl;
-  }
-  if (br != czero) {
-    m.insert(1, 1) = br;
-  }
-  return m;
-}
-
-static const CmplxSpMat &pauli_sparse_mat(Pauli p) {
-  static const CmplxSpMat I_mat = const_2x2_matrix(1, 0, 0, 1);
-  static const CmplxSpMat X_mat = const_2x2_matrix(0, 1, 1, 0);
-  static const CmplxSpMat Y_mat = const_2x2_matrix(0, -i_, i_, 0);
-  static const CmplxSpMat Z_mat = const_2x2_matrix(1, 0, 0, -1);
-  switch (p) {
-    case Pauli::X:
-      return X_mat;
-    case Pauli::Y:
-      return Y_mat;
-    case Pauli::Z:
-      return Z_mat;
-    default:
-      TKET_ASSERT(p == Pauli::I);
-      return I_mat;
-  }
-}
-
-class StateNotPowerTwo : public std::logic_error {
- public:
-  StateNotPowerTwo()
-      : std::logic_error("Statevector size is not a power of two.") {}
-};
-
-unsigned get_n_qb_from_statevector(const Eigen::VectorXcd &state) {
-  // allowing room for big states
-  unsigned long long n = state.size();
-  if (!(n && (!(n & (n - 1))))) {
-    throw StateNotPowerTwo();
-  }
-
-  unsigned count = 0;
-  while (n) {
-    n >>= 1;
-    ++count;
-  }
-  return count - 1;
-}
-
-CmplxSpMat QubitPauliString::to_sparse_matrix() const {
-  qubit_vector_t qubits(map.size());
-  unsigned i = 0;
-  for (const std::pair<const Qubit, Pauli> &pair : map) {
-    qubits[i] = pair.first;
-    ++i;
-  }
-  return to_sparse_matrix(qubits);
-}
-
-CmplxSpMat QubitPauliString::to_sparse_matrix(const unsigned n_qubits) const {
-  qubit_vector_t qubits(n_qubits);
-  for (unsigned i = 0; i < n_qubits; ++i) {
-    qubits[i] = Qubit(i);
-  }
-  return to_sparse_matrix(qubits);
-}
-
-CmplxSpMat QubitPauliString::to_sparse_matrix(
-    const qubit_vector_t &qubits) const {
-  std::vector<Pauli> paulis(qubits.size(), Pauli::I);
-  std::map<Qubit, unsigned> index_map;
-  unsigned index = 0;
-  for (const Qubit &q : qubits) {
-    index_map.insert({q, index});
-    ++index;
-  }
-  if (index_map.size() != qubits.size())
-    throw std::logic_error(
-        "Qubit list given to to_sparse_matrix contains repeats");
-  for (const std::pair<const Qubit, Pauli> &pair : map) {
-    std::map<Qubit, unsigned>::iterator found = index_map.find(pair.first);
-    if (found == index_map.end())
-      throw std::logic_error(
-          "Qubit list given to to_sparse_matrix doesn't contain " +
-          pair.first.repr());
-    paulis.at(found->second) = pair.second;
-  }
-  CmplxSpMat result(1, 1);
-  result.insert(0, 0) = 1;
-  for (Pauli p : paulis) {
-    const CmplxSpMat pauli_mat = pauli_sparse_mat(p);
-    result = Eigen::KroneckerProductSparse(result, pauli_mat).eval();
-  }
-  return result;
-}
-
-CmplxSpMat operator_tensor(
-    const OperatorSum &total_operator, unsigned n_qubits) {
-  qubit_vector_t qubits(n_qubits);
-  for (unsigned i = 0; i < n_qubits; ++i) {
-    qubits[i] = Qubit(i);
-  }
-  return operator_tensor(total_operator, qubits);
-}
-
-CmplxSpMat operator_tensor(
-    const OperatorSum &total_operator, const qubit_vector_t &qubits) {
-  CmplxSpMat sum = total_operator[0].second *
-                   total_operator[0].first.to_sparse_matrix(qubits);
-  for (unsigned j = 1; j < total_operator.size(); j++) {
-    sum += total_operator[j].second *
-           total_operator[j].first.to_sparse_matrix(qubits);
-  }
-  return sum;
-}
-
-Eigen::VectorXcd QubitPauliString::dot_state(
-    const Eigen::VectorXcd &state) const {
-  const unsigned n_qubits = get_n_qb_from_statevector(state);
-  return (to_sparse_matrix(n_qubits) * state);
-}
-
-Eigen::VectorXcd QubitPauliString::dot_state(
-    const Eigen::VectorXcd &state, const qubit_vector_t &qubits) const {
-  if (state.size() != 1 << qubits.size())
-    throw std::logic_error(
-        "Size of statevector does not match number of qubits passed to "
-        "dot_state");
-  return (to_sparse_matrix(qubits) * state);
-}
-
-Complex QubitPauliString::state_expectation(
-    const Eigen::VectorXcd &state) const {
-  return state.dot(dot_state(state));
-}
-
-Complex QubitPauliString::state_expectation(
-    const Eigen::VectorXcd &state, const qubit_vector_t &qubits) const {
-  return state.dot(dot_state(state, qubits));
-}
-
-Complex operator_expectation(
-    const OperatorSum &total_operator, const Eigen::VectorXcd &state) {
-  Complex exp(0, 0);
-
-  for (unsigned j = 0; j < total_operator.size(); j++) {
-    exp += total_operator[j].second *
-           total_operator[j].first.state_expectation(state);
-  }
-
-  return exp;
-}
-
-Complex operator_expectation(
-    const OperatorSum &total_operator, const Eigen::VectorXcd &state,
-    const qubit_vector_t &qubits) {
-  Complex exp(0, 0);
-
-  for (unsigned j = 0; j < total_operator.size(); j++) {
-    exp += total_operator[j].second *
-           total_operator[j].first.state_expectation(state, qubits);
-  }
-
-  return exp;
-}
-
-QubitPauliString::QubitPauliString(
-    const std::initializer_list<Pauli> &_paulis) {
-  unsigned qb_i = 0;
-  for (Pauli p : _paulis) {
-    map[Qubit(qb_i)] = p;
-    ++qb_i;
-  }
-}
-
-QubitPauliString::QubitPauliString(const std::list<Pauli> &_paulis) {
-  unsigned qb_i = 0;
-  for (Pauli p : _paulis) {
-    map[Qubit(qb_i)] = p;
-    ++qb_i;
-  }
-}
-
-QubitPauliString::QubitPauliString(const std::vector<Pauli> &_paulis) {
-  unsigned qb_i = 0;
-  for (Pauli p : _paulis) {
-    map[Qubit(qb_i)] = p;
-    ++qb_i;
-  }
-}
-
-QubitPauliString::QubitPauliString(
-    const std::list<Qubit> &qubits, const std::list<Pauli> &paulis) {
-  if (qubits.size() != paulis.size()) {
-    throw std::logic_error(
-        "Mismatch of Qubits and Paulis upon QubitPauliString "
-        "construction");
-  }
-  std::list<Pauli>::const_iterator p_it = paulis.begin();
-  for (const Qubit &qb : qubits) {
-    Pauli p = *p_it;
-    if (map.find(qb) != map.end()) {
-      throw std::logic_error(
-          "Non-unique Qubit inserted into QubitPauliString map");
-    }
-    map[qb] = p;
-    ++p_it;
-  }
-}
-
-bool QubitPauliString::operator==(const QubitPauliString &other) const {
-  return compare(other) == 0;
-}
-
-bool QubitPauliString::operator!=(const QubitPauliString &other) const {
-  return !(*this == other);
-}
-
-bool QubitPauliString::operator<(const QubitPauliString &other) const {
-  return compare(other) < 0;
-}
-
-int QubitPauliString::compare(const QubitPauliString &other) const {
-  QubitPauliMap::const_iterator p1_it = this->map.begin();
-  QubitPauliMap::const_iterator p2_it = other.map.begin();
-  while (p1_it != this->map.end()) {
-    if (p1_it->second == Pauli::I) {
-      ++p1_it;
-      continue;
-    }
-    while (p2_it != other.map.end() && p2_it->second == Pauli::I) {
-      ++p2_it;
-    }
-    if (p2_it == other.map.end()) return 1;
-    // QubitPauliString order should reflect ILO
-    // i.e. IZ < ZI (Zq1 < Zq0)
-    // Hence we first order by reverse of leading qubit
-    if (p1_it->first < p2_it->first) return 1;
-    if (p2_it->first < p1_it->first) return -1;
-    // and then by increasing order of Pauli letter on the same qubit
-    if (p1_it->second < p2_it->second) return -1;
-    if (p1_it->second > p2_it->second) return 1;
-    ++p1_it;
-    ++p2_it;
-  }
-  while (p2_it != other.map.end() && p2_it->second == Pauli::I) {
-    ++p2_it;
-  }
-  return (p2_it == other.map.end()) ? 0 : -1;
-}
-
-void QubitPauliString::compress() {
-  QubitPauliMap::iterator i = map.begin();
-  while (i != map.end()) {
-    if (i->second == Pauli::I) {
-      i = map.erase(i);
-    } else {
-      ++i;
-    }
-  }
-}
-
-bool QubitPauliString::commutes_with(const QubitPauliString &other) const {
-  return (conflicting_qubits(other).size() % 2) == 0;
-}
-
-std::set<Qubit> QubitPauliString::common_qubits(
-    const QubitPauliString &other) const {
-  std::set<Qubit> common;
-  for (const std::pair<const Qubit, Pauli> &p : map) {
-    QubitPauliMap::const_iterator found = other.map.find(p.first);
-    if (p.second == Pauli::I) continue;
-    if (found != other.map.end() && found->second == p.second) {
-      common.insert(p.first);
-    }
-  }
-  return common;
-}
-
-std::set<Qubit> QubitPauliString::own_qubits(
-    const QubitPauliString &other) const {
-  std::set<Qubit> own;
-  for (const std::pair<const Qubit, Pauli> &p : map) {
-    if (p.second == Pauli::I) continue;
-    QubitPauliMap::const_iterator found = other.map.find(p.first);
-    if (found == other.map.end() || found->second == Pauli::I) {
-      own.insert(p.first);
-    }
-  }
-  return own;
-}
-
-std::set<Qubit> QubitPauliString::conflicting_qubits(
-    const QubitPauliString &other) const {
-  std::set<Qubit> conflicts;
-  for (const std::pair<const Qubit, Pauli> &p : map) {
-    if (p.second == Pauli::I) continue;
-    QubitPauliMap::const_iterator found = other.map.find(p.first);
-    if (found != other.map.end() && found->second != Pauli::I &&
-        found->second != p.second) {
-      conflicts.insert(p.first);
-    }
-  }
-  return conflicts;
-}
-
-std::string QubitPauliString::to_str() const {
-  std::stringstream d;
-  d << "(";
-  QubitPauliMap::const_iterator i = map.begin();
-  while (i != map.end()) {
-    switch (i->second) {
-      case Pauli::I: {
-        d << "I";
-        break;
-      }
-      case Pauli::X: {
-        d << "X";
-        break;
-      }
-      case Pauli::Y: {
-        d << "Y";
-        break;
-      }
-      case Pauli::Z: {
-        d << "Z";
-        break;
-      }
-    }
-    d << i->first.repr();
-    i++;
-    if (i != map.end()) d << ", ";
-  }
-  d << ")";
-  return d.str();
-}
-
-Pauli QubitPauliString::get(const Qubit &q) const {
-  QubitPauliMap::const_iterator i = map.find(q);
-  if (i == map.end())
-    return Pauli::I;
-  else
-    return i->second;
-}
-
-void QubitPauliString::set(const Qubit &q, Pauli p) {
-  QubitPauliMap::iterator i = map.find(q);
-  if (i == map.end()) {
-    if (p != Pauli::I) map.insert({q, p});
-  } else {
-    if (p == Pauli::I)
-      map.erase(i);
-    else
-      i->second = p;
-  }
-}
-
-std::size_t hash_value(const QubitPauliString &qps) {
-  std::size_t seed = 0;
-  for (const std::pair<const Qubit, Pauli> &qb_p : qps.map) {
-    if (qb_p.second != Pauli::I) {
-      boost::hash_combine(seed, qb_p.first);
-      boost::hash_combine(seed, qb_p.second);
-    }
-  }
-  return seed;
-}
-
-void to_json(nlohmann::json &j, const QubitPauliString &paulistr) {
-  j = nlohmann::json::array();
-  for (const auto &[qb, pauli] : paulistr.map) {
-    j.push_back({qb, pauli});
-  }
-}
-
-void from_json(const nlohmann::json &j, QubitPauliString &paulistr) {
-  for (const auto &qb_pauli : j) {
-    paulistr.set(qb_pauli[0].get<Qubit>(), qb_pauli[1].get<Pauli>());
-  }
-}
-
-const QubitPauliTensor::Mult_Matrix &QubitPauliTensor::get_mult_matrix() {
-  static const Mult_Matrix mult_matrix{
-      {{Pauli::I, Pauli::I}, {1., Pauli::I}},
-      {{Pauli::I, Pauli::X}, {1., Pauli::X}},
-      {{Pauli::I, Pauli::Y}, {1., Pauli::Y}},
-      {{Pauli::I, Pauli::Z}, {1., Pauli::Z}},
-      {{Pauli::X, Pauli::I}, {1., Pauli::X}},
-      {{Pauli::X, Pauli::X}, {1., Pauli::I}},
-      {{Pauli::X, Pauli::Y}, {i_, Pauli::Z}},
-      {{Pauli::X, Pauli::Z}, {-i_, Pauli::Y}},
-      {{Pauli::Y, Pauli::I}, {1., Pauli::Y}},
-      {{Pauli::Y, Pauli::X}, {-i_, Pauli::Z}},
-      {{Pauli::Y, Pauli::Y}, {1., Pauli::I}},
-      {{Pauli::Y, Pauli::Z}, {i_, Pauli::X}},
-      {{Pauli::Z, Pauli::I}, {1., Pauli::Z}},
-      {{Pauli::Z, Pauli::X}, {i_, Pauli::Y}},
-      {{Pauli::Z, Pauli::Y}, {-i_, Pauli::X}},
-      {{Pauli::Z, Pauli::Z}, {1., Pauli::I}}};
-  return mult_matrix;
-}
-
-QubitPauliTensor QubitPauliTensor::operator*(
-    const QubitPauliTensor &other) const {
-  QubitPauliTensor result(this->coeff * other.coeff);
-  QubitPauliMap::const_iterator p1i = this->string.map.begin();
-  QubitPauliMap::const_iterator p2i = other.string.map.begin();
-  while (p1i != this->string.map.end()) {
-    while (p2i != other.string.map.end() && p2i->first < p1i->first) {
-      result.string.map.insert(*p2i);
-      p2i++;
-    }
-    if (p2i != other.string.map.end() && p2i->first == p1i->first) {
-      // Pauli in the same position, so need to multiply
-      const std::pair<Complex, Pauli> &prod =
-          QubitPauliTensor::get_mult_matrix().at({p1i->second, p2i->second});
-      result.coeff *= prod.first;
-      if (prod.second != Pauli::I) {
-        result.string.map.insert({p1i->first, prod.second});
-      }
-      p2i++;
-    } else {
-      result.string.map.insert(*p1i);
-    }
-    p1i++;
-  }
-  while (p2i != other.string.map.end()) {
-    result.string.map.insert(*p2i);
-    p2i++;
-  }
-  return result;
-}
-
-void QubitPauliTensor::transpose() {
-  for (const std::pair<const Qubit, Pauli> &pair : string.map) {
-    if (pair.second == Pauli::Y) coeff *= -1.;
-  }
-}
-
-bool QubitPauliTensor::operator==(const QubitPauliTensor &other) const {
-  if (this->coeff != other.coeff) return false;
-  return (this->string == other.string);
-}
-
-bool QubitPauliTensor::operator!=(const QubitPauliTensor &other) const {
-  return !(*this == other);
-}
-
-bool QubitPauliTensor::operator<(const QubitPauliTensor &other) const {
-  int comp = this->string.compare(other.string);
-  if (comp < 0) return true;
-  if (comp > 0) return false;
-  if (this->coeff.real() < other.coeff.real()) return true;
-  if (this->coeff.real() > other.coeff.real()) return false;
-  return (this->coeff.imag() < other.coeff.imag());
-}
-
-void QubitPauliTensor::compress() { string.compress(); }
-
-bool QubitPauliTensor::commutes_with(const QubitPauliTensor &other) const {
-  return (string.commutes_with(other.string));
-}
-
-std::set<Qubit> QubitPauliTensor::common_qubits(
-    const QubitPauliTensor &other) const {
-  return string.common_qubits(other.string);
-}
-
-std::set<Qubit> QubitPauliTensor::own_qubits(
-    const QubitPauliTensor &other) const {
-  return string.own_qubits(other.string);
-}
-
-std::set<Qubit> QubitPauliTensor::conflicting_qubits(
-    const QubitPauliTensor &other) const {
-  return (string.conflicting_qubits(other.string));
-}
-
-std::string QubitPauliTensor::to_str() const {
-  std::stringstream d;
-  if (coeff == -1.) {
-    d << "-";
-  } else if (coeff != 1.) {
-    d << coeff << "*";
-  }
-  d << string.to_str();
-  return d.str();
-}
-
-std::size_t hash_value(const QubitPauliTensor &qpt) {
-  std::size_t seed = hash_value(qpt.string);
-  boost::hash_combine(seed, qpt.coeff);
-  return seed;
-}
-
-QubitPauliTensor operator*(Complex a, const QubitPauliTensor &qpt) {
-  QubitPauliTensor result = qpt;
-  result.coeff *= a;
-  return result;
-}
-
-PauliStabiliser::PauliStabiliser(
-    const std::vector<Pauli> string, const bool coeff)
-    : string(string), coeff(coeff) {
-  if (string.size() == 0) {
-    throw std::invalid_argument("Pauli stabiliser cannot be empty.");
-  }
-  if (std::adjacent_find(string.begin(), string.end(), std::not_equal_to<>()) ==
-          string.end() &&
-      string[0] == Pauli::I) {
-    throw std::invalid_argument("Pauli stabiliser cannot be identity.");
-  }
-}
-
-bool PauliStabiliser::operator==(const PauliStabiliser &other) const {
-  return coeff == other.coeff && string == other.string;
-}
-
-bool PauliStabiliser::operator!=(const PauliStabiliser &other) const {
-  return coeff != other.coeff || string != other.string;
-}
-
-void to_json(nlohmann::json &j, const PauliStabiliser &pauli_stabiliser) {
-  j["string"] = pauli_stabiliser.string;
-  j["coeff"] = pauli_stabiliser.coeff;
-}
-
-void from_json(const nlohmann::json &j, PauliStabiliser &pauli_stabiliser) {
-  pauli_stabiliser = PauliStabiliser(
-      j.at("string").get<std::vector<Pauli>>(), j.at("coeff").get<bool>());
-}
-
-void to_json(nlohmann::json &j, const QubitPauliTensor &qubitPauliTensor) {
-  j["string"] = qubitPauliTensor.string;
-  j["coeff"] = qubitPauliTensor.coeff;
-}
-
-void from_json(const nlohmann::json &j, QubitPauliTensor &qubitPauliTensor) {
-  qubitPauliTensor = QubitPauliTensor(
-      j.at("string").get<QubitPauliString>(), j.at("coeff").get<Complex>());
-}
-}  // namespace tket
diff --git a/tket/src/Utils/PauliTensor.cpp b/tket/src/Utils/PauliTensor.cpp
new file mode 100644
index 0000000000..680c178dd0
--- /dev/null
+++ b/tket/src/Utils/PauliTensor.cpp
@@ -0,0 +1,734 @@
+// Copyright 2019-2023 Cambridge Quantum Computing
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "tket/Utils/PauliTensor.hpp"
+
+#include <tkassert/Assert.hpp>
+
+namespace tket {
+
+void to_json(nlohmann::json &, const no_coeff_t &) {}
+void from_json(const nlohmann::json &, no_coeff_t &) {}
+
+template <>
+no_coeff_t default_coeff<no_coeff_t>() {
+  return {};
+}
+template <>
+quarter_turns_t default_coeff<quarter_turns_t>() {
+  return 0;
+}
+template <>
+Complex default_coeff<Complex>() {
+  return 1.;
+}
+template <>
+Expr default_coeff<Expr>() {
+  return 1;
+}
+
+template <>
+QubitPauliMap cast_container<QubitPauliMap, QubitPauliMap>(
+    const QubitPauliMap &cont) {
+  return cont;
+}
+
+template <>
+QubitPauliMap cast_container<DensePauliMap, QubitPauliMap>(
+    const DensePauliMap &cont) {
+  QubitPauliMap res;
+  for (unsigned i = 0; i < cont.size(); ++i) {
+    Pauli pi = cont.at(i);
+    if (pi != Pauli::I) res.insert({Qubit(i), cont.at(i)});
+  }
+  return res;
+}
+
+template <>
+DensePauliMap cast_container<QubitPauliMap, DensePauliMap>(
+    const QubitPauliMap &cont) {
+  if (cont.empty()) return {};
+  unsigned max_index = 0;
+  for (const std::pair<const Qubit, Pauli> &pair : cont) {
+    if (pair.first.reg_info() != register_info_t{UnitType::Qubit, 1} ||
+        pair.first.reg_name() != q_default_reg())
+      throw std::logic_error(
+          "Cannot cast a QubitPauliMap with non-default register qubits to a "
+          "DensePauliMap");
+    unsigned i = pair.first.index().front();
+    if (i > max_index) max_index = i;
+  }
+  DensePauliMap res(max_index + 1, Pauli::I);
+  for (const std::pair<const Qubit, Pauli> &pair : cont) {
+    res.at(pair.first.index().front()) = pair.second;
+  }
+  return res;
+}
+
+template <>
+DensePauliMap cast_container<DensePauliMap, DensePauliMap>(
+    const DensePauliMap &cont) {
+  return cont;
+}
+
+template <>
+no_coeff_t cast_coeff<no_coeff_t, no_coeff_t>(const no_coeff_t &) {
+  return {};
+}
+template <>
+quarter_turns_t cast_coeff<no_coeff_t, quarter_turns_t>(const no_coeff_t &) {
+  return 0;
+}
+template <>
+Complex cast_coeff<no_coeff_t, Complex>(const no_coeff_t &) {
+  return 1.;
+}
+template <>
+Expr cast_coeff<no_coeff_t, Expr>(const no_coeff_t &) {
+  return 1.;
+}
+
+template <>
+no_coeff_t cast_coeff<quarter_turns_t, no_coeff_t>(const quarter_turns_t &) {
+  return {};
+}
+template <>
+quarter_turns_t cast_coeff<quarter_turns_t, quarter_turns_t>(
+    const quarter_turns_t &coeff) {
+  return coeff;
+}
+template <>
+Complex cast_coeff<quarter_turns_t, Complex>(const quarter_turns_t &coeff) {
+  switch (coeff % 4) {
+    case 0: {
+      return 1.;
+    }
+    case 1: {
+      return i_;
+    }
+    case 2: {
+      return -1.;
+    }
+    default: {
+      return -i_;
+    }
+  }
+}
+template <>
+Expr cast_coeff<quarter_turns_t, Expr>(const quarter_turns_t &coeff) {
+  switch (coeff % 4) {
+    case 0: {
+      return Expr(1);
+    }
+    case 1: {
+      return Expr(SymEngine::I);
+    }
+    case 2: {
+      return Expr(-1);
+    }
+    default: {
+      return -Expr(SymEngine::I);
+    }
+  }
+}
+
+template <>
+no_coeff_t cast_coeff<Complex, no_coeff_t>(const Complex &) {
+  return {};
+}
+template <>
+quarter_turns_t cast_coeff<Complex, quarter_turns_t>(const Complex &coeff) {
+  if (std::abs(coeff - 1.) < EPS)
+    return 0;
+  else if (std::abs(coeff - i_) < EPS)
+    return 1;
+  else if (std::abs(coeff + 1.) < EPS)
+    return 2;
+  else if (std::abs(coeff + i_) < EPS)
+    return 3;
+  else
+    throw std::logic_error(
+        "Could not cast PauliTensor coefficient to quarter turns: not a power "
+        "of i.");
+}
+template <>
+Complex cast_coeff<Complex, Complex>(const Complex &coeff) {
+  return coeff;
+}
+template <>
+Expr cast_coeff<Complex, Expr>(const Complex &coeff) {
+  return Expr(SymEngine::make_rcp<const SymEngine::ComplexDouble>(coeff));
+}
+
+template <>
+no_coeff_t cast_coeff<Expr, no_coeff_t>(const Expr &) {
+  return {};
+}
+template <>
+quarter_turns_t cast_coeff<Expr, quarter_turns_t>(const Expr &coeff) {
+  std::optional<Complex> ev = eval_expr_c(coeff);
+  if (ev)
+    return cast_coeff<Complex, quarter_turns_t>(*ev);
+  else
+    throw std::logic_error(
+        "Could not cast symbolic PauliTensor to quarter turns.");
+}
+template <>
+Complex cast_coeff<Expr, Complex>(const Expr &coeff) {
+  std::optional<Complex> ev = eval_expr_c(coeff);
+  if (ev)
+    return *ev;
+  else
+    throw std::logic_error(
+        "Could not cast symbolic PauliTensor to complex coefficient.");
+}
+template <>
+Expr cast_coeff<Expr, Expr>(const Expr &coeff) {
+  return coeff;
+}
+
+template <>
+int compare_containers<QubitPauliMap>(
+    const QubitPauliMap &first, const QubitPauliMap &second) {
+  QubitPauliMap::const_iterator p1_it = first.begin();
+  QubitPauliMap::const_iterator p2_it = second.begin();
+  while (p1_it != first.end()) {
+    if (p1_it->second == Pauli::I) {
+      ++p1_it;
+      continue;
+    }
+    while (p2_it != second.end() && p2_it->second == Pauli::I) {
+      ++p2_it;
+    }
+    if (p2_it == second.end()) return 1;
+    // QubitPauliMap order should reflect ILO
+    // i.e. IZ < ZI (Zq1 < Zq0)
+    // Hence we first order by reverse of leading qubit
+    if (p1_it->first < p2_it->first) return 1;
+    if (p2_it->first < p1_it->first) return -1;
+    // and then by increasing order of Pauli letter on the same qubit
+    if (p1_it->second < p2_it->second) return -1;
+    if (p1_it->second > p2_it->second) return 1;
+    ++p1_it;
+    ++p2_it;
+  }
+  while (p2_it != second.end() && p2_it->second == Pauli::I) {
+    ++p2_it;
+  }
+  return (p2_it == second.end()) ? 0 : -1;
+}
+
+template <>
+int compare_containers<DensePauliMap>(
+    const DensePauliMap &first, const DensePauliMap &second) {
+  DensePauliMap::const_iterator p1_it = first.begin();
+  DensePauliMap::const_iterator p2_it = second.begin();
+  while (p1_it != first.end() && p2_it != second.end()) {
+    if (*p1_it == Pauli::I) {
+      if (*p2_it != Pauli::I) return -1;
+    } else if (*p2_it == Pauli::I)
+      return 1;
+    else if (*p1_it < *p2_it)
+      return -1;
+    else if (*p1_it > *p2_it)
+      return 1;
+    ++p1_it;
+    ++p2_it;
+  }
+  while (p1_it != first.end() && *p1_it == Pauli::I) ++p1_it;
+  if (p1_it != first.end()) return 1;
+  while (p2_it != second.end() && *p2_it == Pauli::I) ++p2_it;
+  return (p2_it == second.end()) ? 0 : -1;
+}
+
+template <>
+int compare_coeffs<no_coeff_t>(const no_coeff_t &, const no_coeff_t &) {
+  return 0;
+}
+template <>
+int compare_coeffs<quarter_turns_t>(
+    const quarter_turns_t &first, const quarter_turns_t &second) {
+  if (first % 4 < second % 4) return -1;
+  return (first % 4 == second % 4) ? 0 : 1;
+}
+template <>
+int compare_coeffs<Complex>(const Complex &first, const Complex &second) {
+  if (first.real() < second.real()) return -1;
+  if (first.real() > second.real()) return 1;
+  if (first.imag() < second.imag()) return -1;
+  return (first.imag() == second.imag()) ? 0 : 1;
+}
+template <>
+int compare_coeffs<Expr>(const Expr &first, const Expr &second) {
+  // Comparison of SymEngine expressions will distinguish between e.g. integer
+  // 1, double 1., and complex 1., so only use for actual symbolic expressions
+  std::optional<Complex> reduced_first = eval_expr_c(first);
+  std::optional<Complex> reduced_second = eval_expr_c(second);
+  if (reduced_first && reduced_second)
+    return compare_coeffs<Complex>(*reduced_first, *reduced_second);
+  else
+    return first.get_basic()->compare(second);
+}
+
+std::set<Qubit> common_qubits(
+    const QubitPauliMap &first, const QubitPauliMap &second) {
+  std::set<Qubit> common;
+  for (const std::pair<const Qubit, Pauli> &p : first) {
+    if (p.second == Pauli::I) continue;
+    QubitPauliMap::const_iterator found = second.find(p.first);
+    if (found != second.end() && found->second == p.second)
+      common.insert(p.first);
+  }
+  return common;
+}
+
+std::set<unsigned> common_indices(
+    const DensePauliMap &first, const DensePauliMap &second) {
+  std::set<unsigned> common;
+  unsigned min_size = std::min(first.size(), second.size());
+  for (unsigned i = 0; i < min_size; ++i) {
+    Pauli p = first.at(i);
+    if (p != Pauli::I && p == second.at(i)) common.insert(i);
+  }
+  return common;
+}
+
+std::set<Qubit> own_qubits(
+    const QubitPauliMap &first, const QubitPauliMap &second) {
+  std::set<Qubit> own;
+  for (const std::pair<const Qubit, Pauli> &p : first) {
+    if (p.second == Pauli::I) continue;
+    QubitPauliMap::const_iterator found = second.find(p.first);
+    if (found == second.end() || found->second == Pauli::I) own.insert(p.first);
+  }
+  return own;
+}
+
+std::set<unsigned> own_indices(
+    const DensePauliMap &first, const DensePauliMap &second) {
+  std::set<unsigned> own;
+  unsigned min_size = std::min(first.size(), second.size());
+  for (unsigned i = 0; i < min_size; ++i) {
+    if (first.at(i) != Pauli::I && second.at(i) == Pauli::I) own.insert(i);
+  }
+  for (unsigned i = min_size; i < first.size(); ++i) {
+    if (first.at(i) != Pauli::I) own.insert(i);
+  }
+  return own;
+}
+
+std::set<Qubit> conflicting_qubits(
+    const QubitPauliMap &first, const QubitPauliMap &second) {
+  std::set<Qubit> conflicts;
+  for (const std::pair<const Qubit, Pauli> &p : first) {
+    if (p.second == Pauli::I) continue;
+    QubitPauliMap::const_iterator found = second.find(p.first);
+    if (found != second.end() && found->second != Pauli::I &&
+        found->second != p.second)
+      conflicts.insert(p.first);
+  }
+  return conflicts;
+}
+
+std::set<unsigned> conflicting_indices(
+    const DensePauliMap &first, const DensePauliMap &second) {
+  std::set<unsigned> conflicts;
+  unsigned min_size = std::min(first.size(), second.size());
+  for (unsigned i = 0; i < min_size; ++i) {
+    Pauli p = first.at(i);
+    Pauli p2 = second.at(i);
+    if (p != Pauli::I && p2 != Pauli::I && p != p2) conflicts.insert(i);
+  }
+  return conflicts;
+}
+
+template <>
+bool commuting_containers<QubitPauliMap>(
+    const QubitPauliMap &first, const QubitPauliMap &second) {
+  return (conflicting_qubits(first, second).size() % 2) == 0;
+}
+
+template <>
+bool commuting_containers<DensePauliMap>(
+    const DensePauliMap &first, const DensePauliMap &second) {
+  return (conflicting_indices(first, second).size() % 2) == 0;
+}
+
+template <>
+void print_paulis<QubitPauliMap>(
+    std::ostream &os, const QubitPauliMap &paulis) {
+  os << "(";
+  QubitPauliMap::const_iterator i = paulis.begin();
+  while (i != paulis.end()) {
+    switch (i->second) {
+      case Pauli::I: {
+        os << "I";
+        break;
+      }
+      case Pauli::X: {
+        os << "X";
+        break;
+      }
+      case Pauli::Y: {
+        os << "Y";
+        break;
+      }
+      case Pauli::Z: {
+        os << "Z";
+        break;
+      }
+    }
+    os << i->first.repr();
+    ++i;
+    if (i != paulis.end()) os << ", ";
+  }
+  os << ")";
+}
+
+template <>
+void print_paulis<DensePauliMap>(
+    std::ostream &os, const DensePauliMap &paulis) {
+  for (const Pauli &p : paulis) {
+    switch (p) {
+      case Pauli::I: {
+        os << "I";
+        break;
+      }
+      case Pauli::X: {
+        os << "X";
+        break;
+      }
+      case Pauli::Y: {
+        os << "Y";
+        break;
+      }
+      case Pauli::Z: {
+        os << "Z";
+        break;
+      }
+    }
+  }
+}
+
+template <>
+void print_coeff<no_coeff_t>(std::ostream &, const no_coeff_t &) {}
+
+template <>
+void print_coeff<quarter_turns_t>(
+    std::ostream &os, const quarter_turns_t &coeff) {
+  switch (coeff % 4) {
+    case 1: {
+      os << "i*";
+      break;
+    }
+    case 2: {
+      os << "-";
+      break;
+    }
+    case 3: {
+      os << "-i*";
+      break;
+    }
+    default: {
+      break;
+    }
+  }
+}
+
+template <>
+void print_coeff<Complex>(std::ostream &os, const Complex &coeff) {
+  if (coeff == -1.) {
+    os << "-";
+  } else if (coeff != 1.) {
+    os << coeff << "*";
+  }
+}
+
+template <>
+void print_coeff<Expr>(std::ostream &os, const Expr &coeff) {
+  // Expressions distinguish integers from floating-points
+  if (coeff == -1. || coeff == -1) {
+    os << "-";
+  } else if (coeff != 1. && coeff != 1) {
+    os << "(" << coeff << ")*";
+  }
+}
+
+template <>
+void hash_combine_paulis<QubitPauliMap>(
+    std::size_t &seed, const QubitPauliMap &paulis) {
+  for (const std::pair<const Qubit, Pauli> &qp : paulis) {
+    if (qp.second != Pauli::I) {
+      boost::hash_combine(seed, qp.first);
+      boost::hash_combine(seed, qp.second);
+    }
+  }
+}
+
+template <>
+void hash_combine_paulis<DensePauliMap>(
+    std::size_t &seed, const DensePauliMap &paulis) {
+  DensePauliMap::const_reverse_iterator i = paulis.rbegin();
+  while (i != paulis.rend() && *i == Pauli::I) {
+    ++i;
+  }
+  while (i != paulis.rend()) {
+    boost::hash_combine(seed, *i);
+    ++i;
+  }
+}
+
+template <>
+void hash_combine_coeff<no_coeff_t>(std::size_t &, const no_coeff_t &) {}
+
+template <>
+void hash_combine_coeff<quarter_turns_t>(
+    std::size_t &seed, const quarter_turns_t &coeff) {
+  boost::hash_combine(seed, coeff % 4);
+}
+
+template <>
+void hash_combine_coeff<Complex>(std::size_t &seed, const Complex &coeff) {
+  boost::hash_combine(seed, coeff);
+}
+
+template <>
+void hash_combine_coeff<Expr>(std::size_t &seed, const Expr &coeff) {
+  boost::hash_combine(seed, coeff.get_basic()->hash());
+}
+
+template <>
+unsigned n_ys<QubitPauliMap>(const QubitPauliMap &paulis) {
+  unsigned n = 0;
+  for (const std::pair<const Qubit, Pauli> &qp : paulis) {
+    if (qp.second == Pauli::Y) ++n;
+  }
+  return n;
+}
+
+template <>
+unsigned n_ys<DensePauliMap>(const DensePauliMap &paulis) {
+  unsigned n = 0;
+  for (const Pauli &p : paulis) {
+    if (p == Pauli::Y) ++n;
+  }
+  return n;
+}
+
+const std::map<std::pair<Pauli, Pauli>, std::pair<quarter_turns_t, Pauli>> &
+get_mult_matrix() {
+  static const std::map<
+      std::pair<Pauli, Pauli>, std::pair<quarter_turns_t, Pauli>>
+      mult_matrix{
+          {{Pauli::I, Pauli::I}, {0, Pauli::I}},
+          {{Pauli::I, Pauli::X}, {0, Pauli::X}},
+          {{Pauli::I, Pauli::Y}, {0, Pauli::Y}},
+          {{Pauli::I, Pauli::Z}, {0, Pauli::Z}},
+          {{Pauli::X, Pauli::I}, {0, Pauli::X}},
+          {{Pauli::X, Pauli::X}, {0, Pauli::I}},
+          {{Pauli::X, Pauli::Y}, {1, Pauli::Z}},
+          {{Pauli::X, Pauli::Z}, {3, Pauli::Y}},
+          {{Pauli::Y, Pauli::I}, {0, Pauli::Y}},
+          {{Pauli::Y, Pauli::X}, {3, Pauli::Z}},
+          {{Pauli::Y, Pauli::Y}, {0, Pauli::I}},
+          {{Pauli::Y, Pauli::Z}, {1, Pauli::X}},
+          {{Pauli::Z, Pauli::I}, {0, Pauli::Z}},
+          {{Pauli::Z, Pauli::X}, {1, Pauli::Y}},
+          {{Pauli::Z, Pauli::Y}, {3, Pauli::X}},
+          {{Pauli::Z, Pauli::Z}, {0, Pauli::I}},
+      };
+  return mult_matrix;
+}
+
+template <>
+std::pair<quarter_turns_t, QubitPauliMap> multiply_strings<QubitPauliMap>(
+    const QubitPauliMap &first, const QubitPauliMap &second) {
+  quarter_turns_t total_turns = 0;
+  QubitPauliMap result;
+  QubitPauliMap::const_iterator fi = first.begin();
+  QubitPauliMap::const_iterator si = second.begin();
+  while (fi != first.end()) {
+    while (si != second.end() && si->first < fi->first) {
+      result.insert(*si);
+      ++si;
+    }
+    if (si != second.end() && si->first == fi->first) {
+      // Pauli in the same position, so need to multiply
+      const std::pair<quarter_turns_t, Pauli> &prod =
+          get_mult_matrix().at({fi->second, si->second});
+      total_turns += prod.first;
+      if (prod.second != Pauli::I) {
+        result.insert({fi->first, prod.second});
+      }
+      ++si;
+    } else {
+      result.insert(*fi);
+    }
+    ++fi;
+  }
+  while (si != second.end()) {
+    result.insert(*si);
+    ++si;
+  }
+  return {total_turns, result};
+}
+
+template <>
+std::pair<quarter_turns_t, DensePauliMap> multiply_strings<DensePauliMap>(
+    const DensePauliMap &first, const DensePauliMap &second) {
+  quarter_turns_t total_turns = 0;
+  DensePauliMap result;
+  DensePauliMap::const_iterator fi = first.begin();
+  DensePauliMap::const_iterator si = second.begin();
+  while (fi != first.end() && si != second.end()) {
+    const std::pair<quarter_turns_t, Pauli> &prod =
+        get_mult_matrix().at({*fi, *si});
+    total_turns += prod.first;
+    result.push_back(prod.second);
+    ++fi;
+    ++si;
+  }
+  while (fi != first.end()) {
+    result.push_back(*fi);
+    ++fi;
+  }
+  while (si != second.end()) {
+    result.push_back(*si);
+    ++si;
+  }
+  return {total_turns, result};
+}
+
+template <>
+no_coeff_t multiply_coeffs<no_coeff_t>(const no_coeff_t &, const no_coeff_t &) {
+  return {};
+}
+
+template <>
+quarter_turns_t multiply_coeffs<quarter_turns_t>(
+    const quarter_turns_t &first, const quarter_turns_t &second) {
+  return (first + second) % 4;
+}
+
+template <>
+Complex multiply_coeffs<Complex>(const Complex &first, const Complex &second) {
+  return first * second;
+}
+
+template <>
+Expr multiply_coeffs<Expr>(const Expr &first, const Expr &second) {
+  return first * second;
+}
+
+static const CmplxSpMat const_2x2_matrix(
+    Complex tl, Complex tr, Complex bl, Complex br) {
+  CmplxSpMat m(2, 2);
+  if (tl != czero) {
+    m.insert(0, 0) = tl;
+  }
+  if (tr != czero) {
+    m.insert(0, 1) = tr;
+  }
+  if (bl != czero) {
+    m.insert(1, 0) = bl;
+  }
+  if (br != czero) {
+    m.insert(1, 1) = br;
+  }
+  return m;
+}
+
+static const CmplxSpMat &pauli_sparse_mat(Pauli p) {
+  static const CmplxSpMat I_mat = const_2x2_matrix(1, 0, 0, 1);
+  static const CmplxSpMat X_mat = const_2x2_matrix(0, 1, 1, 0);
+  static const CmplxSpMat Y_mat = const_2x2_matrix(0, -i_, i_, 0);
+  static const CmplxSpMat Z_mat = const_2x2_matrix(1, 0, 0, -1);
+  switch (p) {
+    case Pauli::X:
+      return X_mat;
+    case Pauli::Y:
+      return Y_mat;
+    case Pauli::Z:
+      return Z_mat;
+    default:
+      TKET_ASSERT(p == Pauli::I);
+      return I_mat;
+  }
+}
+
+template <>
+CmplxSpMat to_sparse_matrix<QubitPauliMap>(const QubitPauliMap &paulis) {
+  DensePauliMap matrix_paulis;
+  for (const std::pair<const Qubit, Pauli> &pair : paulis)
+    matrix_paulis.push_back(pair.second);
+  return to_sparse_matrix<DensePauliMap>(matrix_paulis);
+}
+template <>
+CmplxSpMat to_sparse_matrix<DensePauliMap>(const DensePauliMap &paulis) {
+  CmplxSpMat result = CmplxSpMat(1, 1);
+  result.insert(0, 0) = 1.;
+  for (Pauli p : paulis) {
+    const CmplxSpMat pauli_mat = pauli_sparse_mat(p);
+    result = Eigen::KroneckerProductSparse(result, pauli_mat).eval();
+  }
+  return result;
+}
+
+template <>
+CmplxSpMat to_sparse_matrix<QubitPauliMap>(
+    const QubitPauliMap &paulis, unsigned n_qubits) {
+  qubit_vector_t qubits(n_qubits);
+  for (unsigned i = 0; i < n_qubits; ++i) qubits.at(i) = Qubit(i);
+  return to_sparse_matrix<QubitPauliMap>(paulis, qubits);
+}
+template <>
+CmplxSpMat to_sparse_matrix<DensePauliMap>(
+    const DensePauliMap &paulis, unsigned n_qubits) {
+  if (n_qubits < paulis.size())
+    throw std::logic_error(
+        "Called to_sparse_matrix for fewer qubits than in the Pauli string.");
+  DensePauliMap matrix_paulis = paulis;
+  for (unsigned i = paulis.size(); i < n_qubits; ++i)
+    matrix_paulis.push_back(Pauli::I);
+  return to_sparse_matrix<DensePauliMap>(matrix_paulis);
+}
+
+template <>
+CmplxSpMat to_sparse_matrix<QubitPauliMap>(
+    const QubitPauliMap &paulis, const qubit_vector_t &qubits) {
+  DensePauliMap matrix_paulis(qubits.size(), Pauli::I);
+  std::map<Qubit, unsigned> index_map;
+  for (const Qubit &q : qubits)
+    index_map.insert({q, (unsigned)index_map.size()});
+  if (index_map.size() != qubits.size())
+    throw std::logic_error(
+        "Qubit list given to to_sparse_matrix contains repeats.");
+  for (const std::pair<const Qubit, Pauli> &pair : paulis) {
+    std::map<Qubit, unsigned>::iterator found = index_map.find(pair.first);
+    if (found == index_map.end())
+      throw std::logic_error(
+          "Qubit list given to to_sparse_matrix doesn't contain " +
+          pair.first.repr());
+    matrix_paulis.at(found->second) = pair.second;
+  }
+  return to_sparse_matrix<DensePauliMap>(matrix_paulis);
+}
+template <>
+CmplxSpMat to_sparse_matrix<DensePauliMap>(
+    const DensePauliMap &paulis, const qubit_vector_t &qubits) {
+  return to_sparse_matrix<QubitPauliMap>(
+      cast_container<DensePauliMap, QubitPauliMap>(paulis), qubits);
+}
+
+}  // namespace tket
diff --git a/tket/test/CMakeLists.txt b/tket/test/CMakeLists.txt
index 93ec203b6f..37b4eed2be 100644
--- a/tket/test/CMakeLists.txt
+++ b/tket/test/CMakeLists.txt
@@ -98,7 +98,7 @@ add_executable(test-tket
     src/TokenSwapping/test_SwapsFromQubitMapping.cpp
     src/TokenSwapping/test_VariousPartialTsa.cpp
     src/Architecture/test_SubgraphMonomorphisms.cpp
-    src/test_PauliString.cpp
+    src/test_PauliTensor.cpp
     src/Ops/test_ClassicalOps.cpp
     src/Ops/test_Expression.cpp
     src/Ops/test_Ops.cpp
diff --git a/tket/test/src/Circuit/test_Boxes.cpp b/tket/test/src/Circuit/test_Boxes.cpp
index a5cde9a26f..e2c8afd1ac 100644
--- a/tket/test/src/Circuit/test_Boxes.cpp
+++ b/tket/test/src/Circuit/test_Boxes.cpp
@@ -256,7 +256,7 @@ SCENARIO("box daggers", "[boxes]") {
         4., 2. + 3. * i_, 5.;
     ExpBox ebox(A, -0.5);
     // PauliExpBox
-    PauliExpBox pbox({Pauli::X, Pauli::Y, Pauli::Z}, 0.8);
+    PauliExpBox pbox(SymPauliTensor({Pauli::X, Pauli::Y, Pauli::Z}, 0.8));
 
     // Put all these boxes into a circuit
     Circuit w(3);
@@ -1069,10 +1069,10 @@ SCENARIO("Checking equality", "[boxes]") {
   }
   GIVEN("Pauli gadgets") {
     double t = 1.687029013593215;
-    PauliExpBox pbox({Pauli::X}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::X}, t));
     WHEN("both arguments are equal") { REQUIRE(pbox == pbox); }
     WHEN("both arguments are different") {
-      PauliExpBox pbox2({Pauli::Y}, t);
+      PauliExpBox pbox2(SymPauliTensor({Pauli::Y}, t));
       REQUIRE(pbox != pbox2);
     }
   }
@@ -1163,9 +1163,9 @@ SCENARIO("Checking equality", "[boxes]") {
     }
   }
   GIVEN("StabiliserAssertionBox") {
-    PauliStabiliser p1 = {{Pauli::X, Pauli::X}, true};
-    PauliStabiliser p2 = {{Pauli::Z, Pauli::Z}, true};
-    PauliStabiliser p3 = {{Pauli::Z, Pauli::Z}, false};
+    PauliStabiliser p1 = {{Pauli::X, Pauli::X}, 0};
+    PauliStabiliser p2 = {{Pauli::Z, Pauli::Z}, 0};
+    PauliStabiliser p3 = {{Pauli::Z, Pauli::Z}, 2};
     StabiliserAssertionBox box({p1, p2});
     WHEN("both arguments are equal") { REQUIRE(box == box); }
     WHEN("different ids but equivalent stabilisers") {
@@ -1302,52 +1302,72 @@ SCENARIO("Checking equality", "[boxes]") {
     }
   }
   GIVEN("PauliExpBox") {
-    PauliExpBox pbox({Pauli::X, Pauli::Y, Pauli::Z}, 0.8);
+    PauliExpBox pbox(SymPauliTensor({Pauli::X, Pauli::Y, Pauli::Z}, 0.8));
     WHEN("both arguments are equal") { REQUIRE(pbox == pbox); }
     WHEN("different ids but same arguments") {
-      REQUIRE(pbox == PauliExpBox({Pauli::X, Pauli::Y, Pauli::Z}, 0.8));
+      REQUIRE(
+          pbox ==
+          PauliExpBox(SymPauliTensor({Pauli::X, Pauli::Y, Pauli::Z}, 0.8)));
     }
     WHEN("different ids, equivalent angle") {
-      REQUIRE(pbox == PauliExpBox({Pauli::X, Pauli::Y, Pauli::Z}, 4.8));
+      REQUIRE(
+          pbox ==
+          PauliExpBox(SymPauliTensor({Pauli::X, Pauli::Y, Pauli::Z}, 4.8)));
     }
     WHEN("different arguments") {
-      REQUIRE(pbox != PauliExpBox({Pauli::X, Pauli::Y, Pauli::Z}, 0.9));
+      REQUIRE(
+          pbox !=
+          PauliExpBox(SymPauliTensor({Pauli::X, Pauli::Y, Pauli::Z}, 0.9)));
     }
   }
   GIVEN("PauliExpPairBox") {
-    PauliExpPairBox pbox({Pauli::X}, 1.0, {Pauli::I}, 0.0);
+    PauliExpPairBox pbox(
+        SymPauliTensor({Pauli::X}, 1.0), SymPauliTensor({Pauli::I}, 0.0));
     WHEN("both arguments are equal") { REQUIRE(pbox == pbox); }
     WHEN("different ids but same arguments") {
-      REQUIRE(pbox == PauliExpPairBox({Pauli::X}, 1.0, {Pauli::I}, 0.0));
+      REQUIRE(
+          pbox == PauliExpPairBox(
+                      SymPauliTensor({Pauli::X}, 1.0),
+                      SymPauliTensor({Pauli::I}, 0.0)));
     }
     WHEN("different ids, equivalent angle") {
-      REQUIRE(pbox == PauliExpPairBox({Pauli::X}, 1.0, {Pauli::I}, 4.0));
+      REQUIRE(
+          pbox == PauliExpPairBox(
+                      SymPauliTensor({Pauli::X}, 1.0),
+                      SymPauliTensor({Pauli::I}, 4.0)));
     }
     WHEN("different arguments") {
-      REQUIRE(pbox != PauliExpPairBox({Pauli::X}, -1.0, {Pauli::I}, 0.0));
+      REQUIRE(
+          pbox != PauliExpPairBox(
+                      SymPauliTensor({Pauli::X}, -1.0),
+                      SymPauliTensor({Pauli::I}, 0.0)));
     }
   }
   GIVEN("PauliExpCommutingSetBox") {
     PauliExpCommutingSetBox pbox(
-        {{{Pauli::X}, 1.0}, {{Pauli::I}, 1.2}, {{Pauli::I}, -0.5}});
+        {SymPauliTensor({Pauli::X}, 1.0), SymPauliTensor({Pauli::I}, 1.2),
+         SymPauliTensor({Pauli::I}, -0.5)});
     WHEN("both arguments are equal") { REQUIRE(pbox == pbox); }
     WHEN("different ids but same arguments") {
       REQUIRE(
           pbox ==
           PauliExpCommutingSetBox(
-              {{{Pauli::X}, 1.0}, {{Pauli::I}, 1.2}, {{Pauli::I}, -0.5}}));
+              {SymPauliTensor({Pauli::X}, 1.0), SymPauliTensor({Pauli::I}, 1.2),
+               SymPauliTensor({Pauli::I}, -0.5)}));
     }
     WHEN("different ids, equivalent angles") {
       REQUIRE(
-          pbox ==
-          PauliExpCommutingSetBox(
-              {{{Pauli::X}, -3.0}, {{Pauli::I}, 5.2}, {{Pauli::I}, -0.5}}));
+          pbox == PauliExpCommutingSetBox(
+                      {SymPauliTensor({Pauli::X}, -3.0),
+                       SymPauliTensor({Pauli::I}, 5.2),
+                       SymPauliTensor({Pauli::I}, -0.5)}));
     }
     WHEN("different arguments") {
       REQUIRE(
           pbox !=
           PauliExpCommutingSetBox(
-              {{{Pauli::Y}, 1.0}, {{Pauli::I}, 1.2}, {{Pauli::I}, -0.5}}));
+              {SymPauliTensor({Pauli::Y}, 1.0), SymPauliTensor({Pauli::I}, 1.2),
+               SymPauliTensor({Pauli::I}, -0.5)}));
     }
   }
   GIVEN("ConjugationBox") {
diff --git a/tket/test/src/Circuit/test_Circ.cpp b/tket/test/src/Circuit/test_Circ.cpp
index 98ff1ccf10..a2536bf2e4 100644
--- a/tket/test/src/Circuit/test_Circ.cpp
+++ b/tket/test/src/Circuit/test_Circ.cpp
@@ -37,7 +37,6 @@
 #include "tket/Transformations/Replacement.hpp"
 #include "tket/Transformations/Transform.hpp"
 #include "tket/Utils/MatrixAnalysis.hpp"
-#include "tket/Utils/PauliStrings.hpp"
 
 namespace tket {
 namespace test_Circ {
@@ -2067,8 +2066,7 @@ SCENARIO("Decomposing a multi-qubit operation into CXs") {
     WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
 
     const auto u = tket_sim::get_unitary(rep);
-    const QubitPauliString pauliop(
-        {{Qubit(0), Pauli::Z}, {Qubit(1), Pauli::Z}});
+    const PauliString pauliop({Pauli::Z, Pauli::Z});
     Eigen::MatrixXcd exponent = -pauliop.to_sparse_matrix(2) * 0.15 * PI * i_;
     Eigen::MatrixXcd correct = exponent.exp();
     REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
@@ -2122,8 +2120,7 @@ SCENARIO("Decomposing a multi-qubit operation into CXs") {
     WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
 
     const auto u = tket_sim::get_unitary(rep);
-    const QubitPauliString pauliop(
-        {{Qubit(0), Pauli::X}, {Qubit(1), Pauli::X}});
+    const PauliString pauliop({Pauli::X, Pauli::X});
     Eigen::MatrixXcd exponent = -pauliop.to_sparse_matrix(2) * 0.25 * PI * i_;
     Eigen::MatrixXcd correct = exponent.exp();
     REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
@@ -2138,12 +2135,9 @@ SCENARIO("Decomposing a multi-qubit operation into CXs") {
     WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
 
     const auto u = tket_sim::get_unitary(rep);
-    const QubitPauliString pauliop01(
-        {{Qubit(0), Pauli::X}, {Qubit(1), Pauli::X}, {Qubit(2), Pauli::I}});
-    const QubitPauliString pauliop12(
-        {{Qubit(0), Pauli::I}, {Qubit(1), Pauli::X}, {Qubit(2), Pauli::X}});
-    const QubitPauliString pauliop02(
-        {{Qubit(0), Pauli::X}, {Qubit(1), Pauli::I}, {Qubit(2), Pauli::X}});
+    const PauliString pauliop01({Pauli::X, Pauli::X, Pauli::I});
+    const PauliString pauliop12({Pauli::I, Pauli::X, Pauli::X});
+    const PauliString pauliop02({Pauli::X, Pauli::I, Pauli::X});
     Eigen::MatrixXcd exponent =
         -(pauliop01.to_sparse_matrix(3) + pauliop12.to_sparse_matrix(3) +
           pauliop02.to_sparse_matrix(3)) *
@@ -2162,8 +2156,7 @@ SCENARIO("Decomposing a multi-qubit operation into CXs") {
     WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
 
     const auto u = tket_sim::get_unitary(rep);
-    const QubitPauliString pauliop(
-        {{Qubit(0), Pauli::Z}, {Qubit(1), Pauli::Z}});
+    const PauliString pauliop({Pauli::Z, Pauli::Z});
     Eigen::MatrixXcd exponent = -pauliop.to_sparse_matrix(2) * 0.25 * PI * i_;
     Eigen::MatrixXcd correct = exponent.exp();
     REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
@@ -2430,7 +2423,7 @@ SCENARIO("Decomposing a single qubit gate") {
     WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
 
     const auto u = tket_sim::get_unitary(rep);
-    const QubitPauliString pauliop({{Qubit(0), Pauli::X}});
+    const PauliString pauliop({Pauli::X});
     Eigen::MatrixXcd exponent = -pauliop.to_sparse_matrix(1) * 0.15 * PI * i_;
     Eigen::MatrixXcd correct = exponent.exp();
     REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
@@ -2449,7 +2442,7 @@ SCENARIO("Decomposing a single qubit gate") {
     WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
 
     const auto u = tket_sim::get_unitary(rep);
-    const QubitPauliString pauliop({{Qubit(0), Pauli::Y}});
+    const PauliString pauliop({Pauli::Y});
     Eigen::MatrixXcd exponent = -pauliop.to_sparse_matrix(1) * 0.2 * PI * i_;
     Eigen::MatrixXcd correct = exponent.exp();
     REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
@@ -2468,7 +2461,7 @@ SCENARIO("Decomposing a single qubit gate") {
     WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
 
     const auto u = tket_sim::get_unitary(rep);
-    const QubitPauliString pauliop({{Qubit(0), Pauli::Z}});
+    const PauliString pauliop({Pauli::Z});
     Eigen::MatrixXcd exponent = -pauliop.to_sparse_matrix(1) * 0.35 * PI * i_;
     Eigen::MatrixXcd correct = exponent.exp();
     REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
@@ -2507,11 +2500,10 @@ SCENARIO("Decomposing a single qubit gate") {
     WHEN("ZX circuit replacement") { rep = CX_ZX_circ_from_op(op); }
 
     const auto u = tket_sim::get_unitary(rep);
-    const QubitPauliString pauliop({{Qubit(0), Pauli::Z}});
+    const PauliString pauliop({Pauli::Z});
     Eigen::MatrixXcd exponent = -pauliop.to_sparse_matrix(1) * 0.65 * PI * i_;
     Eigen::MatrixXcd phaser = exponent.exp();
-    exponent = -QubitPauliString({{Qubit(0), Pauli::X}}).to_sparse_matrix(1) *
-               0.3 * PI * i_;
+    exponent = -PauliString({Pauli::X}).to_sparse_matrix(1) * 0.3 * PI * i_;
     Eigen::MatrixXcd correct = phaser * exponent.exp() * phaser.adjoint();
     REQUIRE((u - correct).cwiseAbs().sum() < ERR_EPS);
   }
diff --git a/tket/test/src/Circuit/test_PauliExpBoxes.cpp b/tket/test/src/Circuit/test_PauliExpBoxes.cpp
index a0af652a06..96b3f368da 100644
--- a/tket/test/src/Circuit/test_PauliExpBoxes.cpp
+++ b/tket/test/src/Circuit/test_PauliExpBoxes.cpp
@@ -27,7 +27,7 @@ namespace test_PauliExpBoxes {
 
 SCENARIO("Pauli gadgets", "[boxes]") {
   GIVEN("Basis Circuit check") {
-    PauliExpBox pbox({Pauli::X}, 1.0);
+    PauliExpBox pbox(SymPauliTensor({Pauli::X}, 1.0));
     auto circ = pbox.to_circuit();
     circ->decompose_boxes_recursively();
     Circuit comp(1);
@@ -46,8 +46,8 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     // ---PauliExpBox([X], t)----Rx(-t)--- should be the identity
     double t = 1.687029013593215;
     Circuit c(1);
-    std::vector<Pauli> pauli_x = {Pauli::X};
-    PauliExpBox pbox(pauli_x, t);
+    DensePauliMap pauli_x = {Pauli::X};
+    PauliExpBox pbox(SymPauliTensor(pauli_x, t));
     REQUIRE(pbox.get_paulis() == pauli_x);
     c.add_box(pbox, uvec{0});
     c.add_op<unsigned>(OpType::Rx, -t, {0});
@@ -58,7 +58,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     // ---PauliExpBox([Y], t)----Ry(-t)--- should be the identity
     double t = 1.6791969622440162;
     Circuit c(1);
-    PauliExpBox pbox({Pauli::Y}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Y}, t));
     c.add_box(pbox, uvec{0});
     c.add_op<unsigned>(OpType::Ry, -t, {0});
     Eigen::Matrix2Xcd u = tket_sim::get_unitary(c);
@@ -68,7 +68,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     // ---PauliExpBox([Z], t)----Rz(-t)--- should be the identity
     double t = 1.7811410013115163;
     Circuit c(1);
-    PauliExpBox pbox({Pauli::Z}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Z}, t));
     c.add_box(pbox, uvec{0});
     c.add_op<unsigned>(OpType::Rz, -t, {0});
     Eigen::Matrix2Xcd u = tket_sim::get_unitary(c);
@@ -81,7 +81,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::I, Pauli::I}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::I, Pauli::I}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -93,7 +93,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::I, Pauli::X}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::I, Pauli::X}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -105,7 +105,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::I, Pauli::Y}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::I, Pauli::Y}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -117,7 +117,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::I, Pauli::Z}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::I, Pauli::Z}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -129,7 +129,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::X, Pauli::I}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::X, Pauli::I}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -141,7 +141,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::X, Pauli::X}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::X, Pauli::X}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -153,7 +153,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::X, Pauli::Y}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::X, Pauli::Y}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -165,7 +165,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::X, Pauli::Z}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::X, Pauli::Z}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -177,7 +177,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::Y, Pauli::I}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Y, Pauli::I}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -189,7 +189,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::Y, Pauli::X}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Y, Pauli::X}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -201,7 +201,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::Y, Pauli::Y}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Y, Pauli::Y}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -213,7 +213,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::Y, Pauli::Z}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Y, Pauli::Z}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -225,7 +225,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::Z, Pauli::I}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Z, Pauli::I}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -237,7 +237,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::Z, Pauli::X}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Z, Pauli::X}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -249,7 +249,7 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::Z, Pauli::Y}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Z, Pauli::Y}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -261,21 +261,22 @@ SCENARIO("Pauli gadgets", "[boxes]") {
     ExpBox ebox(a, +0.5 * PI * t);
     Circuit c(2);
     c.add_box(ebox, {0, 1});
-    PauliExpBox pbox({Pauli::Z, Pauli::Z}, t);
+    PauliExpBox pbox(SymPauliTensor({Pauli::Z, Pauli::Z}, t));
     c.add_box(pbox, {0, 1});
     Eigen::MatrixXcd u = tket_sim::get_unitary(c);
     REQUIRE((u - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
   }
   GIVEN("complex coefficient") {
     Expr ei{SymEngine::I};
-    PauliExpBox pebox({Pauli::Z}, ei);
+    PauliExpBox pebox(SymPauliTensor({Pauli::Z}, ei));
     Expr p = pebox.get_phase();
     REQUIRE(p == ei);
   }
 }
 SCENARIO("Pauli gadget pairs", "[boxes]") {
   GIVEN("Basis Circuit check") {
-    PauliExpPairBox pbox({Pauli::X}, 1.0, {Pauli::I}, 0.0);
+    PauliExpPairBox pbox(
+        SymPauliTensor({Pauli::X}, 1.0), SymPauliTensor({Pauli::I}, 0.0));
     auto circ = pbox.to_circuit();
     circ->decompose_boxes_recursively();
     Circuit comp(1);
@@ -292,15 +293,18 @@ SCENARIO("Pauli gadget pairs", "[boxes]") {
     REQUIRE(*empty_pbox_circuit == empty_circuit);
   }
   GIVEN("Construction with two pauli strings of different length throws") {
-    auto pauli_string0 = std::vector<Pauli>({Pauli::X, Pauli::Z});
-    auto pauli_string1 = std::vector<Pauli>({Pauli::X, Pauli::Z, Pauli::I});
+    DensePauliMap pauli_string0{Pauli::X, Pauli::Z};
+    DensePauliMap pauli_string1{Pauli::X, Pauli::Z, Pauli::I};
     REQUIRE_THROWS_AS(
-        PauliExpPairBox(pauli_string0, 1.0, pauli_string1, 1.0),
+        PauliExpPairBox(
+            SymPauliTensor(pauli_string0, 1.0),
+            SymPauliTensor(pauli_string1, 1.0)),
         PauliExpBoxInvalidity);
   }
   GIVEN("is_clifford test cases") {
     SECTION("Empty Paulis") {
-      REQUIRE(PauliExpPairBox({}, 1.2, {}, 0.1).is_clifford());
+      REQUIRE(PauliExpPairBox(SymPauliTensor({}, 1.2), SymPauliTensor({}, 0.1))
+                  .is_clifford());
     }
     SECTION("Various phases") {
       auto phase_case = GENERATE(
@@ -312,8 +316,8 @@ SCENARIO("Pauli gadget pairs", "[boxes]") {
           std::make_tuple(0.5, 2.0, true), std::make_tuple(0.0, 0.3, false),
           std::make_tuple(0.1, 0.3, false), std::make_tuple(1.1, 2.0, false));
       auto pbox = PauliExpPairBox(
-          {Pauli::X, Pauli::Y}, get<0>(phase_case), {Pauli::X, Pauli::Y},
-          get<1>(phase_case));
+          SymPauliTensor({Pauli::X, Pauli::Y}, get<0>(phase_case)),
+          SymPauliTensor({Pauli::X, Pauli::Y}, get<1>(phase_case)));
       REQUIRE(pbox.is_clifford() == get<2>(phase_case));
     }
   }
@@ -322,23 +326,32 @@ SCENARIO("Pauli gadget pairs", "[boxes]") {
     auto b = SymTable::fresh_symbol("b");
     auto ea = Expr(a);
     auto eb = Expr(b);
-    auto paulis0 = std::vector<Pauli>{Pauli::X};
-    auto paulis1 = std::vector<Pauli>{Pauli::Z};
-    REQUIRE(PauliExpPairBox(paulis0, 0.2, paulis1, 0.4).free_symbols().empty());
+    DensePauliMap paulis0{Pauli::X};
+    DensePauliMap paulis1{Pauli::Z};
+    REQUIRE(PauliExpPairBox(
+                SymPauliTensor(paulis0, 0.2), SymPauliTensor(paulis1, 0.4))
+                .free_symbols()
+                .empty());
     REQUIRE(
-        PauliExpPairBox(paulis0, ea, paulis1, 0.4).free_symbols() == SymSet{a});
+        PauliExpPairBox(
+            SymPauliTensor(paulis0, ea), SymPauliTensor(paulis1, 0.4))
+            .free_symbols() == SymSet{a});
     REQUIRE(
-        PauliExpPairBox(paulis0, 1.0, paulis1, eb).free_symbols() == SymSet{b});
+        PauliExpPairBox(
+            SymPauliTensor(paulis0, 1.0), SymPauliTensor(paulis1, eb))
+            .free_symbols() == SymSet{b});
     REQUIRE(
-        PauliExpPairBox(paulis0, ea, paulis1, eb).free_symbols() ==
-        SymSet{a, b});
+        PauliExpPairBox(
+            SymPauliTensor(paulis0, ea), SymPauliTensor(paulis1, eb))
+            .free_symbols() == SymSet{a, b});
   }
   GIVEN("dagger") {
     auto ea = Expr(SymTable::fresh_symbol("a"));
-    auto paulis0 = std::vector<Pauli>{Pauli::X};
-    auto paulis1 = std::vector<Pauli>{Pauli::Z};
+    DensePauliMap paulis0{Pauli::X};
+    DensePauliMap paulis1{Pauli::Z};
     auto cx_config = CXConfigType::Star;
-    auto box = PauliExpPairBox(paulis0, ea, paulis1, 0.4, cx_config);
+    auto box = PauliExpPairBox(
+        SymPauliTensor(paulis0, ea), SymPauliTensor(paulis1, 0.4), cx_config);
     auto dagger_box =
         std::dynamic_pointer_cast<const PauliExpPairBox>(box.dagger());
 
@@ -352,14 +365,13 @@ SCENARIO("Pauli gadget pairs", "[boxes]") {
   }
   GIVEN("transpose") {
     auto ea = Expr(SymTable::fresh_symbol("a"));
-    auto paulis0 =
-        std::vector<Pauli>{Pauli::X, Pauli::Y, Pauli::Z, Pauli::I, Pauli::Y};
-    auto paulis1 =
-        std::vector<Pauli>{Pauli::Y, Pauli::Y, Pauli::Z, Pauli::I, Pauli::Y};
+    DensePauliMap paulis0{Pauli::X, Pauli::Y, Pauli::Z, Pauli::I, Pauli::Y};
+    DensePauliMap paulis1{Pauli::Y, Pauli::Y, Pauli::Z, Pauli::I, Pauli::Y};
     auto cx_config = CXConfigType::MultiQGate;
 
     WHEN("paulis1 contains odd number of Y") {
-      auto box = PauliExpPairBox(paulis0, ea, paulis1, 0.4, cx_config);
+      auto box = PauliExpPairBox(
+          SymPauliTensor(paulis0, ea), SymPauliTensor(paulis1, 0.4), cx_config);
       auto transpose_box =
           std::dynamic_pointer_cast<const PauliExpPairBox>(box.transpose());
       const auto [actual_paulis0, actual_paulis1] =
@@ -375,7 +387,8 @@ SCENARIO("Pauli gadget pairs", "[boxes]") {
 
     std::swap(paulis0, paulis1);
     WHEN("paulis0 contains odd number of Y") {
-      auto box = PauliExpPairBox(paulis0, ea, paulis1, 0.4, cx_config);
+      auto box = PauliExpPairBox(
+          SymPauliTensor(paulis0, ea), SymPauliTensor(paulis1, 0.4), cx_config);
       auto transpose_box =
           std::dynamic_pointer_cast<const PauliExpPairBox>(box.transpose());
       const auto [actual_paulis0, actual_paulis1] =
@@ -394,10 +407,11 @@ SCENARIO("Pauli gadget pairs", "[boxes]") {
     auto b = SymTable::fresh_symbol("b");
     auto ea = Expr(a);
     auto eb = Expr(b);
-    auto paulis0 = std::vector<Pauli>{Pauli::X};
-    auto paulis1 = std::vector<Pauli>{Pauli::Z};
+    DensePauliMap paulis0{Pauli::X};
+    DensePauliMap paulis1{Pauli::Z};
 
-    auto box = PauliExpPairBox(paulis0, ea, paulis1, eb);
+    auto box = PauliExpPairBox(
+        SymPauliTensor(paulis0, ea), SymPauliTensor(paulis1, eb));
 
     WHEN("only first phase is substituted") {
       SymEngine::map_basic_basic sub_map{std::make_pair(a, Expr(0.8))};
@@ -450,26 +464,25 @@ SCENARIO("Pauli gadget commuting sets", "[boxes]") {
   }
   GIVEN("Construction with no gadgets throws") {
     REQUIRE_THROWS_AS(
-        PauliExpCommutingSetBox(
-            std::vector<std::pair<std::vector<Pauli>, Expr>>{}),
+        PauliExpCommutingSetBox(std::vector<SymPauliTensor>{}),
         PauliExpBoxInvalidity);
   }
   GIVEN("Construction with pauli strings of different length throws") {
-    auto pauli_string0 = std::vector<Pauli>({Pauli::X, Pauli::Z});
-    auto pauli_string1 = std::vector<Pauli>({Pauli::X, Pauli::I});
-    auto pauli_string2 = std::vector<Pauli>({Pauli::X, Pauli::Z, Pauli::I});
+    DensePauliMap pauli_string0{Pauli::X, Pauli::Z};
+    DensePauliMap pauli_string1{Pauli::X, Pauli::I};
+    DensePauliMap pauli_string2{Pauli::X, Pauli::Z, Pauli::I};
     REQUIRE_THROWS_AS(
         PauliExpCommutingSetBox({
-            {pauli_string0, 1.0},
-            {pauli_string1, 1.0},
-            {pauli_string2, 1.0},
+            SymPauliTensor(pauli_string0, 1.0),
+            SymPauliTensor(pauli_string1, 1.0),
+            SymPauliTensor(pauli_string2, 1.0),
         }),
         PauliExpBoxInvalidity);
   }
   GIVEN("Construction with non-commuting pauli strings throws") {
-    auto pauli_string0 = std::vector<Pauli>({Pauli::X, Pauli::Z});
-    auto pauli_string1 = std::vector<Pauli>({Pauli::Z, Pauli::I});
-    auto pauli_string2 = std::vector<Pauli>({Pauli::X, Pauli::Z});
+    DensePauliMap pauli_string0{Pauli::X, Pauli::Z};
+    DensePauliMap pauli_string1{Pauli::Z, Pauli::I};
+    DensePauliMap pauli_string2{Pauli::X, Pauli::Z};
     REQUIRE_THROWS_AS(
         PauliExpCommutingSetBox({
             {pauli_string0, 1.0},
@@ -562,12 +575,12 @@ SCENARIO("Pauli gadget commuting sets", "[boxes]") {
     auto pauli_gadgets = dagger_box->get_pauli_gadgets();
 
     REQUIRE(pauli_gadgets.size() == 3);
-    REQUIRE(pauli_gadgets[0].first == paulis0);
-    REQUIRE(pauli_gadgets[0].second == -phase0);
-    REQUIRE(pauli_gadgets[1].first == paulis1);
-    REQUIRE(pauli_gadgets[1].second == -phase1);
-    REQUIRE(pauli_gadgets[2].first == paulis2);
-    REQUIRE(pauli_gadgets[2].second == -phase2);
+    REQUIRE(pauli_gadgets[0].string == paulis0);
+    REQUIRE(pauli_gadgets[0].coeff == -phase0);
+    REQUIRE(pauli_gadgets[1].string == paulis1);
+    REQUIRE(pauli_gadgets[1].coeff == -phase1);
+    REQUIRE(pauli_gadgets[2].string == paulis2);
+    REQUIRE(pauli_gadgets[2].coeff == -phase2);
     REQUIRE(dagger_box->get_cx_config() == cx_config);
   }
   GIVEN("transpose") {
@@ -593,14 +606,14 @@ SCENARIO("Pauli gadget commuting sets", "[boxes]") {
     auto pauli_gadgets = transpose_box->get_pauli_gadgets();
 
     REQUIRE(pauli_gadgets.size() == 4);
-    REQUIRE(pauli_gadgets[0].first == paulis0);
-    REQUIRE(pauli_gadgets[0].second == phase0);
-    REQUIRE(pauli_gadgets[1].first == paulis1);
-    REQUIRE(pauli_gadgets[1].second == -phase1);
-    REQUIRE(pauli_gadgets[2].first == paulis2);
-    REQUIRE(pauli_gadgets[2].second == phase2);
-    REQUIRE(pauli_gadgets[3].first == paulis3);
-    REQUIRE(pauli_gadgets[3].second == -phase3);
+    REQUIRE(pauli_gadgets[0].string == paulis0);
+    REQUIRE(pauli_gadgets[0].coeff == phase0);
+    REQUIRE(pauli_gadgets[1].string == paulis1);
+    REQUIRE(pauli_gadgets[1].coeff == -phase1);
+    REQUIRE(pauli_gadgets[2].string == paulis2);
+    REQUIRE(pauli_gadgets[2].coeff == phase2);
+    REQUIRE(pauli_gadgets[3].string == paulis3);
+    REQUIRE(pauli_gadgets[3].coeff == -phase3);
     REQUIRE(transpose_box->get_cx_config() == cx_config);
   }
   GIVEN("symbol_substitution") {
@@ -624,34 +637,34 @@ SCENARIO("Pauli gadget commuting sets", "[boxes]") {
     auto sub_box1 = std::dynamic_pointer_cast<const PauliExpCommutingSetBox>(
         box.symbol_substitution(sub_map1));
     auto pauli_gadgets1 = sub_box1->get_pauli_gadgets();
-    REQUIRE(pauli_gadgets1[0].second == sub_a);
-    REQUIRE(pauli_gadgets1[1].second == eb);
-    REQUIRE(pauli_gadgets1[2].second == ec);
+    REQUIRE(pauli_gadgets1[0].coeff == sub_a);
+    REQUIRE(pauli_gadgets1[1].coeff == eb);
+    REQUIRE(pauli_gadgets1[2].coeff == ec);
 
     SymEngine::map_basic_basic sub_map2{std::make_pair(b, sub_b)};
     auto sub_box2 = std::dynamic_pointer_cast<const PauliExpCommutingSetBox>(
         box.symbol_substitution(sub_map2));
     auto pauli_gadgets2 = sub_box2->get_pauli_gadgets();
-    REQUIRE(pauli_gadgets2[0].second == ea);
-    REQUIRE(pauli_gadgets2[1].second == sub_b);
-    REQUIRE(pauli_gadgets2[2].second == ec);
+    REQUIRE(pauli_gadgets2[0].coeff == ea);
+    REQUIRE(pauli_gadgets2[1].coeff == sub_b);
+    REQUIRE(pauli_gadgets2[2].coeff == ec);
 
     SymEngine::map_basic_basic sub_map3{std::make_pair(c, sub_c)};
     auto sub_box3 = std::dynamic_pointer_cast<const PauliExpCommutingSetBox>(
         box.symbol_substitution(sub_map3));
     auto pauli_gadgets3 = sub_box3->get_pauli_gadgets();
-    REQUIRE(pauli_gadgets3[0].second == ea);
-    REQUIRE(pauli_gadgets3[1].second == eb);
-    REQUIRE(pauli_gadgets3[2].second == sub_c);
+    REQUIRE(pauli_gadgets3[0].coeff == ea);
+    REQUIRE(pauli_gadgets3[1].coeff == eb);
+    REQUIRE(pauli_gadgets3[2].coeff == sub_c);
 
     sub_map1.merge(sub_map2);
     sub_map1.merge(sub_map3);
     auto sub_box4 = std::dynamic_pointer_cast<const PauliExpCommutingSetBox>(
         box.symbol_substitution(sub_map1));
     auto pauli_gadgets4 = sub_box4->get_pauli_gadgets();
-    REQUIRE(pauli_gadgets4[0].second == sub_a);
-    REQUIRE(pauli_gadgets4[1].second == sub_b);
-    REQUIRE(pauli_gadgets4[2].second == sub_c);
+    REQUIRE(pauli_gadgets4[0].coeff == sub_a);
+    REQUIRE(pauli_gadgets4[1].coeff == sub_b);
+    REQUIRE(pauli_gadgets4[2].coeff == sub_c);
   }
 }
 
diff --git a/tket/test/src/Ops/test_Ops.cpp b/tket/test/src/Ops/test_Ops.cpp
index 6bf741f9d5..786f76cf67 100644
--- a/tket/test/src/Ops/test_Ops.cpp
+++ b/tket/test/src/Ops/test_Ops.cpp
@@ -242,7 +242,7 @@ SCENARIO("Check op retrieval overloads are working correctly.", "[ops]") {
     double t = 0.5;
     // Construct a Pauli box with an even number of Y-gates
     const PauliExpBox pbox_e(
-        {Pauli::X, Pauli::Y, Pauli::Z, Pauli::Y, Pauli::X}, t);
+        SymPauliTensor({Pauli::X, Pauli::Y, Pauli::Z, Pauli::Y, Pauli::X}, t));
     const Op_ptr pbox_t_ptr = pbox_e.transpose();
     // Casting the PauliExpBox type
     std::shared_ptr<const PauliExpBox> pbox_t =
@@ -251,7 +251,8 @@ SCENARIO("Check op retrieval overloads are working correctly.", "[ops]") {
     REQUIRE(pbox_t->get_phase() == t);
 
     // Construct a Pauli box with an odd number of Y-gates
-    const PauliExpBox pbox_o({Pauli::X, Pauli::Y, Pauli::Z, Pauli::X}, t);
+    const PauliExpBox pbox_o(
+        SymPauliTensor({Pauli::X, Pauli::Y, Pauli::Z, Pauli::X}, t));
     const Op_ptr pbox_o_t_ptr = pbox_o.transpose();
     // Casting the PauliExpBox type
     std::shared_ptr<const PauliExpBox> pbox_o_t =
diff --git a/tket/test/src/Simulation/test_PauliExpBoxUnitaryCalculator.cpp b/tket/test/src/Simulation/test_PauliExpBoxUnitaryCalculator.cpp
index ec9b126ca3..c4686dc3d9 100644
--- a/tket/test/src/Simulation/test_PauliExpBoxUnitaryCalculator.cpp
+++ b/tket/test/src/Simulation/test_PauliExpBoxUnitaryCalculator.cpp
@@ -43,7 +43,7 @@ struct GroupPropertyPauliTester {
     const auto matrix_size = get_matrix_size(pauli_string.size());
 
     for (unsigned ii = 0; ii < phases.size(); ++ii) {
-      PauliExpBox pe_box(pauli_string, phases[ii]);
+      PauliExpBox pe_box(SymPauliTensor(pauli_string, phases[ii]));
       const auto triplets = tket_sim::internal::get_triplets(pe_box);
       sparse_matrices[ii] = get_sparse_square_matrix(triplets, matrix_size);
     }
@@ -58,7 +58,7 @@ struct GroupPropertyPauliTester {
     CHECK(dense_matr1.isApprox(dense_matr2));
 
     // Inverse.
-    PauliExpBox pe_box(pauli_string, -phases[0]);
+    PauliExpBox pe_box(SymPauliTensor(pauli_string, -phases[0]));
     const auto triplets = tket_sim::internal::get_triplets(pe_box);
     sparse_matrices[1] = get_sparse_square_matrix(triplets, matrix_size);
     dense_matr1 = sparse_matrices[0] * sparse_matrices[1];
@@ -106,7 +106,7 @@ struct DirectTensorProductTester {
 
   void test(const std::vector<Pauli>& pauli_string) {
     const auto matrix_size = get_matrix_size(pauli_string.size());
-    PauliExpBox pe_box(pauli_string, phase);
+    PauliExpBox pe_box(SymPauliTensor(pauli_string, phase));
     const auto triplets = tket_sim::internal::get_triplets(pe_box);
     sparse_matrix = get_sparse_square_matrix(triplets, matrix_size);
     dense_matrix = sparse_matrix;
@@ -181,7 +181,7 @@ struct CompareWithSimulatorPauliTester {
     REQUIRE(simulator_result.rows() == matr_size);
     REQUIRE(simulator_result.cols() == matr_size);
 
-    PauliExpBox pe_box(paulis, phase[0]);
+    PauliExpBox pe_box(SymPauliTensor(paulis, phase[0]));
     const auto triplets = tket_sim::internal::get_triplets(pe_box);
     result = get_sparse_square_matrix(triplets, matr_size);
     dense_result = result;
diff --git a/tket/test/src/test_Assertion.cpp b/tket/test/src/test_Assertion.cpp
index 4ad958f183..8467b2ab62 100644
--- a/tket/test/src/test_Assertion.cpp
+++ b/tket/test/src/test_Assertion.cpp
@@ -21,7 +21,6 @@
 #include "tket/Predicates/CompilationUnit.hpp"
 #include "tket/Predicates/PassLibrary.hpp"
 #include "tket/Utils/MatrixAnalysis.hpp"
-#include "tket/Utils/PauliStrings.hpp"
 namespace tket {
 
 SCENARIO("Testing projector based assertion synthesis") {
@@ -168,10 +167,10 @@ SCENARIO("Testing stabiliser based assertion") {
     Circuit circ(3);
     circ.add_op<unsigned>(OpType::Rz, 1.5, {0});
     circ.add_op<unsigned>(OpType::CX, {1, 0});
-    PauliStabiliser pauli1 = {{Pauli::X, Pauli::X}, true};
-    PauliStabiliser pauli2 = {{Pauli::Z, Pauli::Z}, true};
-    PauliStabiliser pauli3 = {{Pauli::Z, Pauli::Z}, false};
-    PauliStabiliserList stabilisers = {pauli1, pauli2, pauli3};
+    PauliStabiliser pauli1 = {{Pauli::X, Pauli::X}, 0};
+    PauliStabiliser pauli2 = {{Pauli::Z, Pauli::Z}, 0};
+    PauliStabiliser pauli3 = {{Pauli::Z, Pauli::Z}, 2};
+    PauliStabiliserVec stabilisers = {pauli1, pauli2, pauli3};
     StabiliserAssertionBox box(stabilisers);
     circ.add_assertion(
         box, {Qubit(0), Qubit(2)}, Qubit(1), "random stabiliser");
@@ -214,9 +213,9 @@ SCENARIO("Testing stabiliser based assertion") {
     Circuit circ(3);
     circ.add_op<unsigned>(OpType::Rz, 1.5, {0});
     circ.add_op<unsigned>(OpType::CX, {1, 0});
-    PauliStabiliser pauli1 = {{Pauli::X}, true};
-    PauliStabiliser pauli2 = {{Pauli::Z}, true};
-    PauliStabiliserList stabilisers = {pauli1, pauli2};
+    PauliStabiliser pauli1 = {{Pauli::X}, 0};
+    PauliStabiliser pauli2 = {{Pauli::Z}, 0};
+    PauliStabiliserVec stabilisers = {pauli1, pauli2};
     StabiliserAssertionBox box(stabilisers);
     REQUIRE_THROWS(circ.add_assertion(
         box, {Qubit(0), Qubit(2)}, Qubit(1), "random stabiliser"));
@@ -224,21 +223,21 @@ SCENARIO("Testing stabiliser based assertion") {
 
   GIVEN("Invalid input") {
     WHEN("Empty input") {
-      PauliStabiliserList stabilisers = {};
+      PauliStabiliserVec stabilisers = {};
       REQUIRE_THROWS_AS(StabiliserAssertionBox(stabilisers), CircuitInvalidity);
     }
     WHEN("Unequal lengths") {
-      PauliStabiliser pauli1 = {{Pauli::X}, true};
-      PauliStabiliser pauli2 = {{Pauli::Z, Pauli::Z}, true};
-      PauliStabiliserList stabilisers = {pauli1, pauli2};
+      PauliStabiliser pauli1 = {{Pauli::X}, 0};
+      PauliStabiliser pauli2 = {{Pauli::Z, Pauli::Z}, 0};
+      PauliStabiliserVec stabilisers = {pauli1, pauli2};
       REQUIRE_THROWS_AS(StabiliserAssertionBox(stabilisers), CircuitInvalidity);
     }
     WHEN("Identity") {
       REQUIRE_THROWS_AS(
-          PauliStabiliser({Pauli::I, Pauli::I, Pauli::I}, true),
+          StabiliserAssertionBox({{{Pauli::I, Pauli::I, Pauli::I}, 0}}),
           std::invalid_argument);
       REQUIRE_THROWS_AS(
-          PauliStabiliser({Pauli::I, Pauli::I, Pauli::I}, false),
+          StabiliserAssertionBox({{{Pauli::I, Pauli::I, Pauli::I}, 1}}),
           std::invalid_argument);
     }
   }
@@ -246,14 +245,14 @@ SCENARIO("Testing stabiliser based assertion") {
 
 SCENARIO("Testing stibiliser based assertion serialization") {
   GIVEN("Serialise a stabiliser box") {
-    PauliStabiliser pauli1 = {{Pauli::X, Pauli::X}, true};
-    PauliStabiliser pauli2 = {{Pauli::Z, Pauli::Z}, true};
+    PauliStabiliser pauli1 = {{Pauli::X, Pauli::X}, 0};
+    PauliStabiliser pauli2 = {{Pauli::Z, Pauli::Z}, 0};
     nlohmann::json j_pauli1 = pauli1;
     PauliStabiliser new_pauli1 = j_pauli1.get<PauliStabiliser>();
     REQUIRE(new_pauli1 == pauli1);
-    PauliStabiliserList bell = {pauli1, pauli2};
+    PauliStabiliserVec bell = {pauli1, pauli2};
     nlohmann::json j_bell = bell;
-    PauliStabiliserList new_bell = j_bell.get<PauliStabiliserList>();
+    PauliStabiliserVec new_bell = j_bell.get<PauliStabiliserVec>();
     REQUIRE(new_bell == bell);
     StabiliserAssertionBox bell_box(new_bell);
     Circuit circ(3);
diff --git a/tket/test/src/test_ChoiMixTableau.cpp b/tket/test/src/test_ChoiMixTableau.cpp
index f8c10eb5ea..c6b87d72ef 100644
--- a/tket/test/src/test_ChoiMixTableau.cpp
+++ b/tket/test/src/test_ChoiMixTableau.cpp
@@ -76,20 +76,20 @@ SCENARIO("Correct creation of ChoiMixTableau") {
     tab.gaussian_form();
     REQUIRE(
         tab.get_row(0) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::X),
-                              QubitPauliTensor(Qubit(0), Pauli::X)});
+                              SpPauliStabiliser(Qubit(0), Pauli::X),
+                              SpPauliStabiliser(Qubit(0), Pauli::X)});
     REQUIRE(
         tab.get_row(1) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Z)});
+                              SpPauliStabiliser(Qubit(0), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Z)});
     REQUIRE(
-        tab.get_row(2) ==
-        ChoiMixTableau::row_tensor_t{{}, QubitPauliTensor(Qubit(2), Pauli::Z)});
+        tab.get_row(2) == ChoiMixTableau::row_tensor_t{
+                              {}, SpPauliStabiliser(Qubit(2), Pauli::Z)});
     REQUIRE(
         tab.get_row_product({0, 1}) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor(Qubit(0), Pauli::Y),
-            QubitPauliTensor(Qubit(0), Pauli::Y, -1.)});
+            SpPauliStabiliser(Qubit(0), Pauli::Y),
+            SpPauliStabiliser(Qubit(0), Pauli::Y, 2)});
     THEN("Serialize and deserialize") {
       nlohmann::json j_tab = tab;
       ChoiMixTableau tab2{{}};
@@ -112,46 +112,46 @@ SCENARIO("Correct creation of ChoiMixTableau") {
     // e^{-i Z pi/4} X id X = (-iZX) e^{-i Z pi/4} X = +Y S X
     REQUIRE(
         tab.get_row(0) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::X),
-                              QubitPauliTensor(Qubit(0), Pauli::Y)});
+                              SpPauliStabiliser(Qubit(0), Pauli::X),
+                              SpPauliStabiliser(Qubit(0), Pauli::Y)});
     REQUIRE(
         tab.get_row(1) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Z)});
+                              SpPauliStabiliser(Qubit(0), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Z)});
     REQUIRE(
-        tab.get_row(2) ==
-        ChoiMixTableau::row_tensor_t{QubitPauliTensor(Qubit(1), Pauli::Z), {}});
+        tab.get_row(2) == ChoiMixTableau::row_tensor_t{
+                              SpPauliStabiliser(Qubit(1), Pauli::Z), {}});
     REQUIRE(
-        tab.get_row(3) ==
-        ChoiMixTableau::row_tensor_t{{}, QubitPauliTensor(Qubit(2), Pauli::Z)});
+        tab.get_row(3) == ChoiMixTableau::row_tensor_t{
+                              {}, SpPauliStabiliser(Qubit(2), Pauli::Z)});
     // Applying an S at the input end adds up to a net Z
     tab.apply_S(Qubit(0), ChoiMixTableau::TableauSegment::Input);
     tab.canonical_column_order();
     tab.gaussian_form();
     REQUIRE(
         tab.get_row(0) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::X),
-                              QubitPauliTensor(Qubit(0), Pauli::X, -1.)});
+                              SpPauliStabiliser(Qubit(0), Pauli::X),
+                              SpPauliStabiliser(Qubit(0), Pauli::X, 2)});
     REQUIRE(
         tab.get_row(1) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Z)});
+                              SpPauliStabiliser(Qubit(0), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Z)});
     REQUIRE(
-        tab.get_row(2) ==
-        ChoiMixTableau::row_tensor_t{QubitPauliTensor(Qubit(1), Pauli::Z), {}});
+        tab.get_row(2) == ChoiMixTableau::row_tensor_t{
+                              SpPauliStabiliser(Qubit(1), Pauli::Z), {}});
     REQUIRE(
-        tab.get_row(3) ==
-        ChoiMixTableau::row_tensor_t{{}, QubitPauliTensor(Qubit(2), Pauli::Z)});
+        tab.get_row(3) == ChoiMixTableau::row_tensor_t{
+                              {}, SpPauliStabiliser(Qubit(2), Pauli::Z)});
     THEN("Compare to explicitly generated tableau") {
       std::list<ChoiMixTableau::row_tensor_t> rows;
       rows.push_back(
-          {QubitPauliTensor(Qubit(0), Pauli::X),
-           QubitPauliTensor(Qubit(0), Pauli::X, -1.)});
+          {SpPauliStabiliser(Qubit(0), Pauli::X),
+           SpPauliStabiliser(Qubit(0), Pauli::X, 2)});
       rows.push_back(
-          {QubitPauliTensor(Qubit(0), Pauli::Z),
-           QubitPauliTensor(Qubit(0), Pauli::Z)});
-      rows.push_back({QubitPauliTensor(Qubit(1), Pauli::Z), {}});
-      rows.push_back({{}, QubitPauliTensor(Qubit(2), Pauli::Z)});
+          {SpPauliStabiliser(Qubit(0), Pauli::Z),
+           SpPauliStabiliser(Qubit(0), Pauli::Z)});
+      rows.push_back({SpPauliStabiliser(Qubit(1), Pauli::Z), {}});
+      rows.push_back({{}, SpPauliStabiliser(Qubit(2), Pauli::Z)});
       ChoiMixTableau tab2(rows);
       tab2.canonical_column_order();
       REQUIRE(tab == tab2);
@@ -167,60 +167,60 @@ SCENARIO("Correct creation of ChoiMixTableau") {
     tab.gaussian_form();
     REQUIRE(
         tab.get_row(0) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::X),
-                              QubitPauliTensor(Qubit(0), Pauli::X)});
+                              SpPauliStabiliser(Qubit(0), Pauli::X),
+                              SpPauliStabiliser(Qubit(0), Pauli::X)});
     REQUIRE(
         tab.get_row(1) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Z)});
+                              SpPauliStabiliser(Qubit(0), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Z)});
     // Affecting the input segment should give the same effect as for
     // UnitaryRevTableau (since lhs is transposed, +Y is flipped to -Y, and
     // phase is returned on rhs)
     REQUIRE(
         tab.get_row(2) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor(Qubit(1), Pauli::Y), QubitPauliTensor(-1.)});
+            SpPauliStabiliser(Qubit(1), Pauli::Y), SpPauliStabiliser({}, 2)});
     // Affecting the output segment should give the same effect as for
     // UnitaryTableau
     REQUIRE(
         tab.get_row(3) == ChoiMixTableau::row_tensor_t{
-                              {}, QubitPauliTensor(Qubit(2), Pauli::Y, -1.)});
+                              {}, SpPauliStabiliser(Qubit(2), Pauli::Y, 2)});
     // Check V on identity
     tab.apply_V(Qubit(0), ChoiMixTableau::TableauSegment::Output);
     REQUIRE(
         tab.get_row(0) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::X),
-                              QubitPauliTensor(Qubit(0), Pauli::X)});
+                              SpPauliStabiliser(Qubit(0), Pauli::X),
+                              SpPauliStabiliser(Qubit(0), Pauli::X)});
     // e^{-i X pi/4} Z C Z = (-iXZ) e^{-i X pi/4} C Z = -Y V C Z
     REQUIRE(
         tab.get_row(1) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Y, -1.)});
+                              SpPauliStabiliser(Qubit(0), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Y, 2)});
     REQUIRE(
         tab.get_row(2) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor(Qubit(1), Pauli::Y), QubitPauliTensor(-1.)});
+            SpPauliStabiliser(Qubit(1), Pauli::Y), SpPauliStabiliser({}, 2)});
     REQUIRE(
         tab.get_row(3) == ChoiMixTableau::row_tensor_t{
-                              {}, QubitPauliTensor(Qubit(2), Pauli::Y, -1.)});
+                              {}, SpPauliStabiliser(Qubit(2), Pauli::Y, 2)});
     // Applying a V at the input end adds up to a net X
     tab.apply_V(Qubit(0), ChoiMixTableau::TableauSegment::Input);
     tab.gaussian_form();
     REQUIRE(
         tab.get_row(0) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::X),
-                              QubitPauliTensor(Qubit(0), Pauli::X)});
+                              SpPauliStabiliser(Qubit(0), Pauli::X),
+                              SpPauliStabiliser(Qubit(0), Pauli::X)});
     REQUIRE(
         tab.get_row(1) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Z, -1.)});
+                              SpPauliStabiliser(Qubit(0), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Z, 2)});
     REQUIRE(
         tab.get_row(2) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor(Qubit(1), Pauli::Y), QubitPauliTensor(-1.)});
+            SpPauliStabiliser(Qubit(1), Pauli::Y), SpPauliStabiliser({}, 2)});
     REQUIRE(
         tab.get_row(3) == ChoiMixTableau::row_tensor_t{
-                              {}, QubitPauliTensor(Qubit(2), Pauli::Y, -1.)});
+                              {}, SpPauliStabiliser(Qubit(2), Pauli::Y, 2)});
   }
   GIVEN("Applying CX gates") {
     ChoiMixTableau tab(4);
@@ -237,27 +237,27 @@ SCENARIO("Correct creation of ChoiMixTableau") {
     REQUIRE(
         tab.get_row(0) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor(Qubit(0), Pauli::X),
-            QubitPauliTensor({{Qubit(0), Pauli::X}, {Qubit(1), Pauli::X}})});
+            SpPauliStabiliser(Qubit(0), Pauli::X),
+            SpPauliStabiliser({{Qubit(0), Pauli::X}, {Qubit(1), Pauli::X}})});
     REQUIRE(
         tab.get_row(1) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Z)});
+                              SpPauliStabiliser(Qubit(0), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Z)});
     REQUIRE(
         tab.get_row(2) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(1), Pauli::X),
-                              QubitPauliTensor(Qubit(1), Pauli::X)});
+                              SpPauliStabiliser(Qubit(1), Pauli::X),
+                              SpPauliStabiliser(Qubit(1), Pauli::X)});
     REQUIRE(
         tab.get_row(3) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor(Qubit(1), Pauli::Z),
-            QubitPauliTensor({{Qubit(0), Pauli::Z}, {Qubit(1), Pauli::Z}})});
+            SpPauliStabiliser(Qubit(1), Pauli::Z),
+            SpPauliStabiliser({{Qubit(0), Pauli::Z}, {Qubit(1), Pauli::Z}})});
     REQUIRE(
-        tab.get_row(4) ==
-        ChoiMixTableau::row_tensor_t{QubitPauliTensor(Qubit(2), Pauli::Z), {}});
+        tab.get_row(4) == ChoiMixTableau::row_tensor_t{
+                              SpPauliStabiliser(Qubit(2), Pauli::Z), {}});
     REQUIRE(
-        tab.get_row(5) ==
-        ChoiMixTableau::row_tensor_t{{}, QubitPauliTensor(Qubit(3), Pauli::Z)});
+        tab.get_row(5) == ChoiMixTableau::row_tensor_t{
+                              {}, SpPauliStabiliser(Qubit(3), Pauli::Z)});
     // CX on input cancels back to original
     tab.apply_CX(Qubit(0), Qubit(1), ChoiMixTableau::TableauSegment::Input);
     tab.gaussian_form();
@@ -269,30 +269,30 @@ SCENARIO("Correct creation of ChoiMixTableau") {
     REQUIRE(
         tab.get_row(0) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor({{Qubit(0), Pauli::X}, {Qubit(2), Pauli::X}}),
-            QubitPauliTensor(Qubit(0), Pauli::X)});
+            SpPauliStabiliser({{Qubit(0), Pauli::X}, {Qubit(2), Pauli::X}}),
+            SpPauliStabiliser(Qubit(0), Pauli::X)});
     REQUIRE(
         tab.get_row(1) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(0), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Z)});
+                              SpPauliStabiliser(Qubit(0), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Z)});
     REQUIRE(
         tab.get_row(2) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor(Qubit(1), Pauli::X),
-            QubitPauliTensor({{Qubit(1), Pauli::X}, {Qubit(3), Pauli::X}})});
+            SpPauliStabiliser(Qubit(1), Pauli::X),
+            SpPauliStabiliser({{Qubit(1), Pauli::X}, {Qubit(3), Pauli::X}})});
     REQUIRE(
         tab.get_row(3) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(1), Pauli::Z),
-                              QubitPauliTensor(Qubit(1), Pauli::Z)});
+                              SpPauliStabiliser(Qubit(1), Pauli::Z),
+                              SpPauliStabiliser(Qubit(1), Pauli::Z)});
     REQUIRE(
         tab.get_row(4) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(2), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Z)});
+                              SpPauliStabiliser(Qubit(2), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Z)});
     REQUIRE(
         tab.get_row(5) ==
         ChoiMixTableau::row_tensor_t{
             {},
-            QubitPauliTensor({{Qubit(1), Pauli::Z}, {Qubit(3), Pauli::Z}})});
+            SpPauliStabiliser({{Qubit(1), Pauli::Z}, {Qubit(3), Pauli::Z}})});
   }
   GIVEN("A full circuit") {
     Circuit circ = get_test_circ();
@@ -305,7 +305,7 @@ SCENARIO("Correct creation of ChoiMixTableau") {
   GIVEN("A PI/2 rotation at end") {
     Circuit circ = get_test_circ();
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    QubitPauliTensor pauli{
+    SpPauliStabiliser pauli{
         {{Qubit(0), Pauli::X}, {Qubit(1), Pauli::Y}, {Qubit(2), Pauli::Z}}};
     tab.apply_pauli(pauli, 3);
     tab.gaussian_form();
@@ -317,10 +317,7 @@ SCENARIO("Correct creation of ChoiMixTableau") {
   }
   GIVEN("A PI/2 rotation at front") {
     ChoiMixTableau tab = get_tableau_with_gates_applied_at_front();
-    QubitPauliTensor pauli =
-        QubitPauliTensor(Qubit(q_default_reg(), 0), Pauli::X) *
-        QubitPauliTensor(Qubit(q_default_reg(), 1), Pauli::Y) *
-        QubitPauliTensor(Qubit(q_default_reg(), 2), Pauli::Z);
+    SpPauliStabiliser pauli({Pauli::X, Pauli::Y, Pauli::Z});
     tab.apply_pauli(pauli, 1, ChoiMixTableau::TableauSegment::Input);
     tab.gaussian_form();
 
@@ -370,26 +367,26 @@ SCENARIO("Correct creation of ChoiMixTableau") {
     REQUIRE(
         tab.get_row(0) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor(Qubit(1), Pauli::X),
-            QubitPauliTensor(
-                {{Qubit(0), Pauli::X}, {Qubit(2), Pauli::X}}, -1.)});
+            SpPauliStabiliser(Qubit(1), Pauli::X),
+            SpPauliStabiliser(
+                {{Qubit(0), Pauli::X}, {Qubit(2), Pauli::X}}, 2)});
     REQUIRE(
         tab.get_row(1) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(1), Pauli::Z),
-                              QubitPauliTensor(Qubit(0), Pauli::Z, -1.)});
+                              SpPauliStabiliser(Qubit(1), Pauli::Z),
+                              SpPauliStabiliser(Qubit(0), Pauli::Z, 2)});
     REQUIRE(
         tab.get_row(2) == ChoiMixTableau::row_tensor_t{
-                              QubitPauliTensor(Qubit(2), Pauli::X),
-                              QubitPauliTensor(Qubit(2), Pauli::X)});
+                              SpPauliStabiliser(Qubit(2), Pauli::X),
+                              SpPauliStabiliser(Qubit(2), Pauli::X)});
     REQUIRE(
         tab.get_row(3) ==
         ChoiMixTableau::row_tensor_t{
-            QubitPauliTensor(Qubit(2), Pauli::Z),
-            QubitPauliTensor(
-                {{Qubit(0), Pauli::Z}, {Qubit(2), Pauli::Z}}, -1.)});
+            SpPauliStabiliser(Qubit(2), Pauli::Z),
+            SpPauliStabiliser(
+                {{Qubit(0), Pauli::Z}, {Qubit(2), Pauli::Z}}, 2)});
     REQUIRE(
-        tab.get_row(4) ==
-        ChoiMixTableau::row_tensor_t{{}, QubitPauliTensor(Qubit(1), Pauli::Z)});
+        tab.get_row(4) == ChoiMixTableau::row_tensor_t{
+                              {}, SpPauliStabiliser(Qubit(1), Pauli::Z)});
   }
   GIVEN("Combining post-selections and discarding") {
     ChoiMixTableau tab(5);
diff --git a/tket/test/src/test_Clifford.cpp b/tket/test/src/test_Clifford.cpp
index cb76b9a4d1..cb1d332400 100644
--- a/tket/test/src/test_Clifford.cpp
+++ b/tket/test/src/test_Clifford.cpp
@@ -27,7 +27,6 @@
 #include "tket/Transformations/OptimisationPass.hpp"
 #include "tket/Transformations/Rebase.hpp"
 #include "tket/Transformations/Transform.hpp"
-#include "tket/Utils/PauliStrings.hpp"
 
 namespace tket {
 namespace test_Clifford {
diff --git a/tket/test/src/test_CompilerPass.cpp b/tket/test/src/test_CompilerPass.cpp
index ef546dfad5..dc1540613c 100644
--- a/tket/test/src/test_CompilerPass.cpp
+++ b/tket/test/src/test_CompilerPass.cpp
@@ -1171,9 +1171,9 @@ SCENARIO("Test Pauli Graph Synthesis Pass") {
       Transforms::PauliSynthStrat::Sets, CXConfigType::Star);
   GIVEN("Two PauliExpBoxes") {
     Circuit circ(3, "test");
-    PauliExpBox peb({Pauli::Z, Pauli::X, Pauli::Z}, 0.333);
+    PauliExpBox peb({{Pauli::Z, Pauli::X, Pauli::Z}, 0.333});
     circ.add_box(peb, {0, 1, 2});
-    PauliExpBox peb2({Pauli::Y, Pauli::X, Pauli::X}, 0.174);
+    PauliExpBox peb2({{Pauli::Y, Pauli::X, Pauli::X}, 0.174});
     circ.add_box(peb2, {0, 1, 2});
 
     CompilationUnit cu(circ);
diff --git a/tket/test/src/test_MeasurementReduction.cpp b/tket/test/src/test_MeasurementReduction.cpp
index 70f1e1f3cb..fa05084ef2 100644
--- a/tket/test/src/test_MeasurementReduction.cpp
+++ b/tket/test/src/test_MeasurementReduction.cpp
@@ -21,11 +21,11 @@ namespace test_MeasurementReduction {
 
 SCENARIO("Some QubitOperators") {
   GIVEN("4 string QubitOperator") {
-    QubitPauliString qp_map0(Qubit(0), Pauli::I);
-    QubitPauliString qp_map1(Qubit(0), Pauli::X);
-    QubitPauliString qp_map2(Qubit(0), Pauli::Y);
-    QubitPauliString qp_map3(Qubit(0), Pauli::Z);
-    std::list<QubitPauliString> pts{qp_map0, qp_map1, qp_map2, qp_map3};
+    SpPauliString qp_map0(Qubit(0), Pauli::I);
+    SpPauliString qp_map1(Qubit(0), Pauli::X);
+    SpPauliString qp_map2(Qubit(0), Pauli::Y);
+    SpPauliString qp_map3(Qubit(0), Pauli::Z);
+    std::list<SpPauliString> pts{qp_map0, qp_map1, qp_map2, qp_map3};
 
     WHEN("Commuting sets") {
       MeasurementSetup measurements =
@@ -44,15 +44,15 @@ SCENARIO("Some QubitOperators") {
     }
   }
   GIVEN("7 string QubitOperator") {
-    QubitPauliString qp_map0(Qubit(0), Pauli::Z);
-    QubitPauliString qp_map1(Qubit(1), Pauli::Z);
-    QubitPauliString qp_map2(Qubit(2), Pauli::Z);
-    QubitPauliString qp_map3(Qubit(3), Pauli::Z);
-    QubitPauliString qp_map4({Pauli::Z, Pauli::Z, Pauli::Z, Pauli::Z});
-    QubitPauliString qp_map5({Pauli::X, Pauli::X, Pauli::Y, Pauli::Y});
-    QubitPauliString qp_map6({Pauli::Y, Pauli::Y, Pauli::X, Pauli::X});
-    std::list<QubitPauliString> pts{qp_map0, qp_map1, qp_map2, qp_map3,
-                                    qp_map4, qp_map5, qp_map6};
+    SpPauliString qp_map0(Qubit(0), Pauli::Z);
+    SpPauliString qp_map1(Qubit(1), Pauli::Z);
+    SpPauliString qp_map2(Qubit(2), Pauli::Z);
+    SpPauliString qp_map3(Qubit(3), Pauli::Z);
+    SpPauliString qp_map4({Pauli::Z, Pauli::Z, Pauli::Z, Pauli::Z});
+    SpPauliString qp_map5({Pauli::X, Pauli::X, Pauli::Y, Pauli::Y});
+    SpPauliString qp_map6({Pauli::Y, Pauli::Y, Pauli::X, Pauli::X});
+    std::list<SpPauliString> pts{qp_map0, qp_map1, qp_map2, qp_map3,
+                                 qp_map4, qp_map5, qp_map6};
 
     WHEN("Commuting sets") {
       MeasurementSetup measurements =
@@ -68,17 +68,17 @@ SCENARIO("Some QubitOperators") {
     }
   }
   GIVEN("8 strings over 4 qubits") {
-    QubitPauliString qp_map0({Pauli::X, Pauli::X, Pauli::X, Pauli::Y});
-    QubitPauliString qp_map1({Pauli::X, Pauli::X, Pauli::Y, Pauli::X});
-    QubitPauliString qp_map2({Pauli::X, Pauli::Y, Pauli::X, Pauli::X});
-    QubitPauliString qp_map3({Pauli::X, Pauli::Y, Pauli::Y, Pauli::Y});
-    QubitPauliString qp_map4({Pauli::Y, Pauli::X, Pauli::X, Pauli::X});
-    QubitPauliString qp_map5({Pauli::Y, Pauli::X, Pauli::Y, Pauli::Y});
-    QubitPauliString qp_map6({Pauli::Y, Pauli::Y, Pauli::X, Pauli::Y});
-    QubitPauliString qp_map7({Pauli::Y, Pauli::Y, Pauli::Y, Pauli::X});
-    QubitPauliString qp_map8({Pauli::I, Pauli::I, Pauli::I, Pauli::I});
-    std::list<QubitPauliString> pts{qp_map0, qp_map1, qp_map2, qp_map3, qp_map4,
-                                    qp_map5, qp_map6, qp_map7, qp_map8};
+    SpPauliString qp_map0({Pauli::X, Pauli::X, Pauli::X, Pauli::Y});
+    SpPauliString qp_map1({Pauli::X, Pauli::X, Pauli::Y, Pauli::X});
+    SpPauliString qp_map2({Pauli::X, Pauli::Y, Pauli::X, Pauli::X});
+    SpPauliString qp_map3({Pauli::X, Pauli::Y, Pauli::Y, Pauli::Y});
+    SpPauliString qp_map4({Pauli::Y, Pauli::X, Pauli::X, Pauli::X});
+    SpPauliString qp_map5({Pauli::Y, Pauli::X, Pauli::Y, Pauli::Y});
+    SpPauliString qp_map6({Pauli::Y, Pauli::Y, Pauli::X, Pauli::Y});
+    SpPauliString qp_map7({Pauli::Y, Pauli::Y, Pauli::Y, Pauli::X});
+    SpPauliString qp_map8({Pauli::I, Pauli::I, Pauli::I, Pauli::I});
+    std::list<SpPauliString> pts{qp_map0, qp_map1, qp_map2, qp_map3, qp_map4,
+                                 qp_map5, qp_map6, qp_map7, qp_map8};
     WHEN("Commuting sets") {
       MeasurementSetup measurements =
           measurement_reduction(pts, PauliPartitionStrat::CommutingSets);
diff --git a/tket/test/src/test_MeasurementSetup.cpp b/tket/test/src/test_MeasurementSetup.cpp
index 4312bddaee..6bfc5785ed 100644
--- a/tket/test/src/test_MeasurementSetup.cpp
+++ b/tket/test/src/test_MeasurementSetup.cpp
@@ -33,10 +33,10 @@ SCENARIO("verify_measurement_setup") {
     ms.add_measurement_circuit(mc);
     Qubit q0(q_default_reg(), 0);
     Qubit q1(q_default_reg(), 1);
-    QubitPauliString ii;
-    QubitPauliString zi({{q0, Pauli::Z}});
-    QubitPauliString iz({{q1, Pauli::Z}});
-    QubitPauliString zz({{q0, Pauli::Z}, {q1, Pauli::Z}});
+    SpPauliString ii;
+    SpPauliString zi({{q0, Pauli::Z}});
+    SpPauliString iz({{q1, Pauli::Z}});
+    SpPauliString zz({{q0, Pauli::Z}, {q1, Pauli::Z}});
     ms.add_result_for_term(ii, {0, {}, false});
     ms.add_result_for_term(zi, {0, {0}, false});
     ms.add_result_for_term(iz, {0, {1}, false});
@@ -56,7 +56,7 @@ SCENARIO("verify_measurement_setup") {
     ms.add_measurement_circuit(mc1);
     Qubit q0(q_default_reg(), 0);
     Qubit q1(q_default_reg(), 1);
-    QubitPauliString zi({{q0, Pauli::Z}});
+    SpPauliString zi({{q0, Pauli::Z}});
     ms.add_result_for_term(zi, {0, {0}, false});
     ms.add_result_for_term(zi, {1, {0}, false});
     REQUIRE(ms.verify());
@@ -68,7 +68,7 @@ SCENARIO("verify_measurement_setup") {
     mc.add_measure(0, 0);
     ms.add_measurement_circuit(mc);
     Qubit q0(q_default_reg(), 0);
-    QubitPauliString z({{q0, Pauli::Z}});
+    SpPauliString z({{q0, Pauli::Z}});
     ms.add_result_for_term(z, {0, {0}, true});
     REQUIRE(ms.verify());
   }
@@ -83,17 +83,17 @@ SCENARIO("verify_measurement_setup") {
     Qubit q0(q_default_reg(), 0);
     Qubit q1(q_default_reg(), 1);
     WHEN("Wrong parity") {
-      QubitPauliString zi({{q0, Pauli::Z}});
+      SpPauliString zi({{q0, Pauli::Z}});
       ms.add_result_for_term(zi, {0, {0}, false});
       REQUIRE_FALSE(ms.verify());
     }
     WHEN("Wrong string") {
-      QubitPauliString ix({{q1, Pauli::X}});
+      SpPauliString ix({{q1, Pauli::X}});
       ms.add_result_for_term(ix, {0, {1}, false});
       REQUIRE_FALSE(ms.verify());
     }
     WHEN("Wrong bit set") {
-      QubitPauliString iy({{q1, Pauli::Y}});
+      SpPauliString iy({{q1, Pauli::Y}});
       ms.add_result_for_term(iy, {0, {0, 1}, false});
       REQUIRE_FALSE(ms.verify());
     }
@@ -149,18 +149,18 @@ SCENARIO("verify_measurement_setup") {
     Qubit q2(q_default_reg(), 2);
     Qubit q3(q_default_reg(), 3);
 
-    QubitPauliTensor x0(q0, Pauli::X);
-    QubitPauliTensor y0(q0, Pauli::Y);
-    QubitPauliTensor z0(q0, Pauli::Z);
-    QubitPauliTensor x1(q1, Pauli::X);
-    QubitPauliTensor y1(q1, Pauli::Y);
-    QubitPauliTensor z1(q1, Pauli::Z);
-    QubitPauliTensor x2(q2, Pauli::X);
-    QubitPauliTensor y2(q2, Pauli::Y);
-    QubitPauliTensor z2(q2, Pauli::Z);
-    QubitPauliTensor x3(q3, Pauli::X);
-    QubitPauliTensor y3(q3, Pauli::Y);
-    QubitPauliTensor z3(q3, Pauli::Z);
+    SpPauliString x0(q0, Pauli::X);
+    SpPauliString y0(q0, Pauli::Y);
+    SpPauliString z0(q0, Pauli::Z);
+    SpPauliString x1(q1, Pauli::X);
+    SpPauliString y1(q1, Pauli::Y);
+    SpPauliString z1(q1, Pauli::Z);
+    SpPauliString x2(q2, Pauli::X);
+    SpPauliString y2(q2, Pauli::Y);
+    SpPauliString z2(q2, Pauli::Z);
+    SpPauliString x3(q3, Pauli::X);
+    SpPauliString y3(q3, Pauli::Y);
+    SpPauliString z3(q3, Pauli::Z);
 
     ms.add_result_for_term(z0, {1, {0}, false});
     ms.add_result_for_term(z0 * z1, {1, {0, 1}, false});
@@ -289,24 +289,24 @@ SCENARIO("verify_measurement_setup") {
     Qubit q4(q_default_reg(), 4);
     Qubit q5(q_default_reg(), 5);
 
-    QubitPauliTensor x0(q0, Pauli::X);
-    QubitPauliTensor y0(q0, Pauli::Y);
-    QubitPauliTensor z0(q0, Pauli::Z);
-    QubitPauliTensor x1(q1, Pauli::X);
-    QubitPauliTensor y1(q1, Pauli::Y);
-    QubitPauliTensor z1(q1, Pauli::Z);
-    QubitPauliTensor x2(q2, Pauli::X);
-    QubitPauliTensor y2(q2, Pauli::Y);
-    QubitPauliTensor z2(q2, Pauli::Z);
-    QubitPauliTensor x3(q3, Pauli::X);
-    QubitPauliTensor y3(q3, Pauli::Y);
-    QubitPauliTensor z3(q3, Pauli::Z);
-    QubitPauliTensor x4(q4, Pauli::X);
-    QubitPauliTensor y4(q4, Pauli::Y);
-    QubitPauliTensor z4(q4, Pauli::Z);
-    QubitPauliTensor x5(q5, Pauli::X);
-    QubitPauliTensor y5(q5, Pauli::Y);
-    QubitPauliTensor z5(q5, Pauli::Z);
+    SpPauliString x0(q0, Pauli::X);
+    SpPauliString y0(q0, Pauli::Y);
+    SpPauliString z0(q0, Pauli::Z);
+    SpPauliString x1(q1, Pauli::X);
+    SpPauliString y1(q1, Pauli::Y);
+    SpPauliString z1(q1, Pauli::Z);
+    SpPauliString x2(q2, Pauli::X);
+    SpPauliString y2(q2, Pauli::Y);
+    SpPauliString z2(q2, Pauli::Z);
+    SpPauliString x3(q3, Pauli::X);
+    SpPauliString y3(q3, Pauli::Y);
+    SpPauliString z3(q3, Pauli::Z);
+    SpPauliString x4(q4, Pauli::X);
+    SpPauliString y4(q4, Pauli::Y);
+    SpPauliString z4(q4, Pauli::Z);
+    SpPauliString x5(q5, Pauli::X);
+    SpPauliString y5(q5, Pauli::Y);
+    SpPauliString z5(q5, Pauli::Z);
 
     ms.add_result_for_term(y0 * z1 * y2 * z3, {0, {0, 1, 3}, false});
     ms.add_result_for_term(
diff --git a/tket/test/src/test_Partition.cpp b/tket/test/src/test_Partition.cpp
index 62894ff408..c33e7c5a93 100644
--- a/tket/test/src/test_Partition.cpp
+++ b/tket/test/src/test_Partition.cpp
@@ -36,8 +36,8 @@ SCENARIO("Small sets of Gadgets are partitioned correctly") {
   GIVEN("No gadgets") {
     for (auto colouring_method : colouring_methods) {
       for (PauliPartitionStrat strat : strats) {
-        std::list<QubitPauliString> tensors;
-        std::list<std::list<QubitPauliString>> void_terms =
+        std::list<SpPauliString> tensors;
+        std::list<std::list<SpPauliString>> void_terms =
             term_sequence(tensors, strat, colouring_method);
         REQUIRE(void_terms.empty());
       }
@@ -49,13 +49,13 @@ SCENARIO("Small sets of Gadgets are partitioned correctly") {
     Qubit q0(0);
     Qubit q1(1);
     Qubit q2(2);
-    QubitPauliString qp_map0({{q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}});
-    QubitPauliString qp_map1({{q0, Pauli::Z}, {q1, Pauli::Z}, {q2, Pauli::Y}});
-    std::list<QubitPauliString> tensors{qp_map0, qp_map1};
+    SpPauliString qp_map0({{q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}});
+    SpPauliString qp_map1({{q0, Pauli::Z}, {q1, Pauli::Z}, {q2, Pauli::Y}});
+    std::list<SpPauliString> tensors{qp_map0, qp_map1};
 
     for (auto colouring_method : colouring_methods) {
       for (PauliPartitionStrat strat : strats) {
-        std::list<std::list<QubitPauliString>> terms =
+        std::list<std::list<SpPauliString>> terms =
             term_sequence(tensors, strat, colouring_method);
 
         REQUIRE(terms.size() == 2);
@@ -67,20 +67,20 @@ SCENARIO("Small sets of Gadgets are partitioned correctly") {
     }
   }
   GIVEN("Three partitions of four gadgets") {
-    QubitPauliString qp_map0(Qubit(0), Pauli::I);
-    QubitPauliString qp_map1(Qubit(0), Pauli::X);
-    QubitPauliString qp_map2(Qubit(0), Pauli::Y);
-    QubitPauliString qp_map3(Qubit(0), Pauli::Z);
-    std::list<QubitPauliString> tensors{qp_map0, qp_map1, qp_map2, qp_map3};
+    SpPauliString qp_map0(Qubit(0), Pauli::I);
+    SpPauliString qp_map1(Qubit(0), Pauli::X);
+    SpPauliString qp_map2(Qubit(0), Pauli::Y);
+    SpPauliString qp_map3(Qubit(0), Pauli::Z);
+    std::list<SpPauliString> tensors{qp_map0, qp_map1, qp_map2, qp_map3};
 
     for (auto colouring_method : colouring_methods) {
       for (PauliPartitionStrat strat : strats) {
-        std::list<std::list<QubitPauliString>> terms =
+        std::list<std::list<SpPauliString>> terms =
             term_sequence(tensors, strat, colouring_method);
 
         REQUIRE(terms.size() == 3);
         unsigned total_terms = 0;
-        for (const std::list<QubitPauliString>& g_map : terms) {
+        for (const std::list<SpPauliString>& g_map : terms) {
           REQUIRE((g_map.size() == 1 || g_map.size() == 2));
           total_terms += g_map.size();
         }
diff --git a/tket/test/src/test_PauliGraph.cpp b/tket/test/src/test_PauliGraph.cpp
index 01fbd61f2e..c8d4758dc4 100644
--- a/tket/test/src/test_PauliGraph.cpp
+++ b/tket/test/src/test_PauliGraph.cpp
@@ -207,7 +207,7 @@ SCENARIO("Correct creation of PauliGraphs") {
     circ.add_op<unsigned>(OpType::ZZPhase, 0.2, {0, 1});
     circ.add_op<unsigned>(OpType::Vdg, {0});
     circ.add_op<unsigned>(OpType::H, {1});
-    PauliExpBox peb({Pauli::Y, Pauli::X}, 0.333);
+    PauliExpBox peb({{Pauli::Y, Pauli::X}, 0.333});
     circ.add_box(peb, {0, 1});
     PauliGraph pg = circuit_to_pauli_graph(circ);
     REQUIRE(pg.n_vertices() == 1);
@@ -292,7 +292,7 @@ static void add_ops_to_prepend_2(Circuit& circ) {
 SCENARIO("Test mutual diagonalisation of fully commuting sets") {
   GIVEN("A 2 qb Identity gadget") {
     Circuit circ(2);
-    PauliExpBox peb({Pauli::I, Pauli::I}, 0.333);
+    PauliExpBox peb({{Pauli::I, Pauli::I}, 0.333});
     circ.add_box(peb, {0, 1});
     const auto& prepend = CircuitsForTesting::get().prepend_2qb_circuit;
     Circuit test1 = prepend >> circ;
@@ -308,7 +308,7 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
   GIVEN("2 qb 1 Pauli gadget circuit") {
     const auto& prepend = CircuitsForTesting::get().prepend_2qb_circuit;
     Circuit circ(2);
-    PauliExpBox peb({Pauli::Z, Pauli::X}, 0.333);
+    PauliExpBox peb({{Pauli::Z, Pauli::X}, 0.333});
     circ.add_box(peb, {0, 1});
     Circuit test1 = prepend >> circ;
 
@@ -321,9 +321,9 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
   GIVEN("2 qb 2 Pauli gadget circuit") {
     const auto& prepend = CircuitsForTesting::get().prepend_2qb_circuit;
     Circuit circ(2);
-    PauliExpBox peb({Pauli::Z, Pauli::X}, 0.333);
+    PauliExpBox peb({{Pauli::Z, Pauli::X}, 0.333});
     circ.add_box(peb, {0, 1});
-    PauliExpBox peb2({Pauli::Y, Pauli::Y}, 0.174);
+    PauliExpBox peb2({{Pauli::Y, Pauli::Y}, 0.174});
     circ.add_box(peb2, {0, 1});
     Circuit test1 = prepend >> circ;
 
@@ -345,11 +345,11 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
     std::map<Sym, double, SymEngine::RCPBasicKeyLess> symbol_map = {
         {a, 0.3112}, {b, 1.178}, {c, -0.911}};
 
-    PauliExpBox peb({Pauli::Z, Pauli::Z}, ea);
+    PauliExpBox peb({{Pauli::Z, Pauli::Z}, ea});
     circ.add_box(peb, {0, 1});
-    PauliExpBox peb2({Pauli::X, Pauli::X}, eb);
+    PauliExpBox peb2({{Pauli::X, Pauli::X}, eb});
     circ.add_box(peb2, {0, 1});
-    PauliExpBox peb3({Pauli::Y, Pauli::Y}, ec);
+    PauliExpBox peb3({{Pauli::Y, Pauli::Y}, ec});
     circ.add_box(peb3, {0, 1});
     Circuit test1 = prepend >> circ;
     test1.symbol_substitution(symbol_map);
@@ -373,11 +373,11 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
     std::map<Sym, double, SymEngine::RCPBasicKeyLess> symbol_map = {
         {a, 0.3112}, {b, 1.178}, {c, -0.911}};
 
-    PauliExpBox peb({Pauli::Z, Pauli::Z}, ea);
+    PauliExpBox peb({{Pauli::Z, Pauli::Z}, ea});
     circ.add_box(peb, {0, 1});
-    PauliExpBox peb2({Pauli::I, Pauli::X}, eb);
+    PauliExpBox peb2({{Pauli::I, Pauli::X}, eb});
     circ.add_box(peb2, {0, 1});
-    PauliExpBox peb3({Pauli::Y, Pauli::I}, ec);
+    PauliExpBox peb3({{Pauli::Y, Pauli::I}, ec});
     circ.add_box(peb3, {0, 1});
     Circuit test1 = prepend >> circ;
     REQUIRE(test1.is_symbolic());
@@ -396,9 +396,9 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
     add_ops_to_prepend_1(prepend);
 
     Circuit circ(3);
-    PauliExpBox peb({Pauli::Z, Pauli::X, Pauli::Z}, 0.333);
+    PauliExpBox peb({{Pauli::Z, Pauli::X, Pauli::Z}, 0.333});
     circ.add_box(peb, {0, 1, 2});
-    PauliExpBox peb2({Pauli::Y, Pauli::X, Pauli::X}, 0.174);
+    PauliExpBox peb2({{Pauli::Y, Pauli::X, Pauli::X}, 0.174});
     circ.add_box(peb2, {0, 1, 2});
     Circuit test1 = prepend >> circ;
     PauliGraph pg = circuit_to_pauli_graph(circ);
@@ -412,11 +412,11 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
     add_ops_to_prepend_1(prepend);
 
     Circuit circ(4);
-    PauliExpBox peb({Pauli::Z, Pauli::Z, Pauli::Z, Pauli::Z}, 0.333);
+    PauliExpBox peb({{Pauli::Z, Pauli::Z, Pauli::Z, Pauli::Z}, 0.333});
     circ.add_box(peb, {0, 1, 2, 3});
-    PauliExpBox peb2({Pauli::X, Pauli::Z, Pauli::X, Pauli::I}, 0.233);
+    PauliExpBox peb2({{Pauli::X, Pauli::Z, Pauli::X, Pauli::I}, 0.233});
     circ.add_box(peb2, {0, 1, 2, 3});
-    PauliExpBox peb3({Pauli::X, Pauli::X, Pauli::X, Pauli::X}, 0.174);
+    PauliExpBox peb3({{Pauli::X, Pauli::X, Pauli::X, Pauli::X}, 0.174});
     circ.add_box(peb3, {0, 1, 2, 3});
     Circuit test1 = prepend >> circ;
 
@@ -444,17 +444,17 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
     CircuitsForTesting::add_initial_prepend_ops(circ);
     add_ops_to_prepend_1(circ);
 
-    PauliExpBox peb({Pauli::Z, Pauli::Y, Pauli::X}, 0.333);
+    PauliExpBox peb({{Pauli::Z, Pauli::Y, Pauli::X}, 0.333});
     circ.add_box(peb, {0, 1, 2});
-    PauliExpBox peb2({Pauli::Y, Pauli::Z, Pauli::X}, 0.174);
+    PauliExpBox peb2({{Pauli::Y, Pauli::Z, Pauli::X}, 0.174});
     circ.add_box(peb2, {0, 1, 2});
-    PauliExpBox peb3({Pauli::Y, Pauli::Z, Pauli::I}, 0.567);
+    PauliExpBox peb3({{Pauli::Y, Pauli::Z, Pauli::I}, 0.567});
     circ.add_box(peb3, {0, 1, 2});
-    PauliExpBox peb4({Pauli::Z, Pauli::Y, Pauli::I}, 1.849);
+    PauliExpBox peb4({{Pauli::Z, Pauli::Y, Pauli::I}, 1.849});
     circ.add_box(peb4, {0, 1, 2});
-    PauliExpBox peb5({Pauli::X, Pauli::X, Pauli::X}, 1.67);
+    PauliExpBox peb5({{Pauli::X, Pauli::X, Pauli::X}, 1.67});
     circ.add_box(peb5, {0, 1, 2});
-    PauliExpBox peb6({Pauli::X, Pauli::X, Pauli::I}, 0.83);
+    PauliExpBox peb6({{Pauli::X, Pauli::X, Pauli::I}, 0.83});
     circ.add_box(peb6, {0, 1, 2});
     Circuit test1 = circ;
 
@@ -573,21 +573,21 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
         {a, 0.3112}, {b, 1.178}, {c, -0.911}, {d, 0.7122},
         {e, 1.102},  {f, 0.151}, {g, 1.223},  {h, 1.666}};
 
-    PauliExpBox peb0({Pauli::X, Pauli::X, Pauli::X, Pauli::Y}, ea);
+    PauliExpBox peb0({{Pauli::X, Pauli::X, Pauli::X, Pauli::Y}, ea});
     circ.add_box(peb0, {0, 1, 2, 3});
-    PauliExpBox peb1({Pauli::X, Pauli::X, Pauli::Y, Pauli::X}, eb);
+    PauliExpBox peb1({{Pauli::X, Pauli::X, Pauli::Y, Pauli::X}, eb});
     circ.add_box(peb1, {0, 1, 2, 3});
-    PauliExpBox peb2({Pauli::X, Pauli::Y, Pauli::X, Pauli::X}, ec);
+    PauliExpBox peb2({{Pauli::X, Pauli::Y, Pauli::X, Pauli::X}, ec});
     circ.add_box(peb2, {0, 1, 2, 3});
-    PauliExpBox peb3({Pauli::X, Pauli::Y, Pauli::Y, Pauli::Y}, ed);
+    PauliExpBox peb3({{Pauli::X, Pauli::Y, Pauli::Y, Pauli::Y}, ed});
     circ.add_box(peb3, {0, 1, 2, 3});
-    PauliExpBox peb4({Pauli::Y, Pauli::X, Pauli::X, Pauli::X}, ee);
+    PauliExpBox peb4({{Pauli::Y, Pauli::X, Pauli::X, Pauli::X}, ee});
     circ.add_box(peb4, {0, 1, 2, 3});
-    PauliExpBox peb5({Pauli::Y, Pauli::X, Pauli::Y, Pauli::Y}, ef);
+    PauliExpBox peb5({{Pauli::Y, Pauli::X, Pauli::Y, Pauli::Y}, ef});
     circ.add_box(peb5, {0, 1, 2, 3});
-    PauliExpBox peb6({Pauli::Y, Pauli::Y, Pauli::X, Pauli::Y}, eg);
+    PauliExpBox peb6({{Pauli::Y, Pauli::Y, Pauli::X, Pauli::Y}, eg});
     circ.add_box(peb6, {0, 1, 2, 3});
-    PauliExpBox peb7({Pauli::Y, Pauli::Y, Pauli::Y, Pauli::X}, eh);
+    PauliExpBox peb7({{Pauli::Y, Pauli::Y, Pauli::Y, Pauli::X}, eh});
     circ.add_box(peb7, {0, 1, 2, 3});
 
     Circuit test1 = prepend >> circ;
@@ -619,13 +619,13 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
     std::map<Sym, double, SymEngine::RCPBasicKeyLess> symbol_map = {
         {a, 0.3112}, {b, 1.178}, {c, -0.911}, {d, 0.7122}};
 
-    PauliExpBox peb0({Pauli::Y, Pauli::Z, Pauli::X, Pauli::I}, ea);
+    PauliExpBox peb0({{Pauli::Y, Pauli::Z, Pauli::X, Pauli::I}, ea});
     circ.add_box(peb0, {0, 1, 2, 3});
-    PauliExpBox peb1({Pauli::X, Pauli::Z, Pauli::Y, Pauli::I}, eb);
+    PauliExpBox peb1({{Pauli::X, Pauli::Z, Pauli::Y, Pauli::I}, eb});
     circ.add_box(peb1, {0, 1, 2, 3});
-    PauliExpBox peb2({Pauli::I, Pauli::Y, Pauli::Z, Pauli::X}, ec);
+    PauliExpBox peb2({{Pauli::I, Pauli::Y, Pauli::Z, Pauli::X}, ec});
     circ.add_box(peb2, {0, 1, 2, 3});
-    PauliExpBox peb3({Pauli::I, Pauli::X, Pauli::Y, Pauli::Z}, ed);
+    PauliExpBox peb3({{Pauli::I, Pauli::X, Pauli::Y, Pauli::Z}, ed});
     circ.add_box(peb3, {0, 1, 2, 3});
 
     Circuit test1 = prepend >> circ;
@@ -667,19 +667,19 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
         {a, 0.3112}, {b, 1.178}, {c, -0.911}, {d, 0.7122},
         {e, 1.102},  {f, 0.151}, {g, 1.223}};
 
-    PauliExpBox peb0({Pauli::I, Pauli::X, Pauli::Z, Pauli::I, Pauli::Z}, ea);
+    PauliExpBox peb0({{Pauli::I, Pauli::X, Pauli::Z, Pauli::I, Pauli::Z}, ea});
     circ.add_box(peb0, {0, 1, 2, 3, 4});
-    PauliExpBox peb1({Pauli::I, Pauli::Y, Pauli::I, Pauli::Z, Pauli::Y}, eb);
+    PauliExpBox peb1({{Pauli::I, Pauli::Y, Pauli::I, Pauli::Z, Pauli::Y}, eb});
     circ.add_box(peb1, {0, 1, 2, 3, 4});
-    PauliExpBox peb2({Pauli::X, Pauli::X, Pauli::I, Pauli::Y, Pauli::I}, ec);
+    PauliExpBox peb2({{Pauli::X, Pauli::X, Pauli::I, Pauli::Y, Pauli::I}, ec});
     circ.add_box(peb2, {0, 1, 2, 3, 4});
-    PauliExpBox peb3({Pauli::Y, Pauli::Y, Pauli::X, Pauli::I, Pauli::I}, ed);
+    PauliExpBox peb3({{Pauli::Y, Pauli::Y, Pauli::X, Pauli::I, Pauli::I}, ed});
     circ.add_box(peb3, {0, 1, 2, 3, 4});
-    PauliExpBox peb4({Pauli::Z, Pauli::I, Pauli::Y, Pauli::X, Pauli::X}, ee);
+    PauliExpBox peb4({{Pauli::Z, Pauli::I, Pauli::Y, Pauli::X, Pauli::X}, ee});
     circ.add_box(peb4, {0, 1, 2, 3, 4});
-    PauliExpBox peb5({Pauli::Z, Pauli::X, Pauli::I, Pauli::Z, Pauli::Z}, ef);
+    PauliExpBox peb5({{Pauli::Z, Pauli::X, Pauli::I, Pauli::Z, Pauli::Z}, ef});
     circ.add_box(peb5, {0, 1, 2, 3, 4});
-    PauliExpBox peb6({Pauli::Z, Pauli::Y, Pauli::Z, Pauli::I, Pauli::Y}, eg);
+    PauliExpBox peb6({{Pauli::Z, Pauli::Y, Pauli::Z, Pauli::I, Pauli::Y}, eg});
     circ.add_box(peb6, {0, 1, 2, 3, 4});
 
     Circuit test1 = prepend >> circ;
@@ -730,90 +730,68 @@ SCENARIO("Test mutual diagonalisation of fully commuting sets") {
 
 SCENARIO("Conjugating Cliffords through Pauli tensors") {
   GIVEN("A 3qb XYZ pauli tensor") {
-    QubitPauliTensor qpt({Pauli::X, Pauli::Y, Pauli::Z});
+    SpPauliStabiliser qpt(DensePauliMap{Pauli::X, Pauli::Y, Pauli::Z});
     WHEN("Commuting a Hadamard through qb0") {
       Qubit qb0(0);
       conjugate_PauliTensor(qpt, OpType::H, qb0);
-      auto it = qpt.string.map.find(qb0);
-      REQUIRE(it != qpt.string.map.end());
       THEN("X becomes Z") {
-        REQUIRE(it->second == Pauli::Z);
-        REQUIRE(std::abs(qpt.coeff - 1.) < EPS);
+        REQUIRE(qpt.get(qb0) == Pauli::Z);
+        REQUIRE(qpt.is_real_negative() == false);
       }
     }
     WHEN("Commuting a X through qb0") {
       Qubit qb0(0);
       conjugate_PauliTensor(qpt, OpType::X, qb0);
-      auto it = qpt.string.map.find(qb0);
-      REQUIRE(it != qpt.string.map.end());
       THEN("X remains X") {
-        REQUIRE(it->second == Pauli::X);
-        REQUIRE(std::abs(qpt.coeff - 1.) < EPS);
+        REQUIRE(qpt.get(qb0) == Pauli::X);
+        REQUIRE(qpt.is_real_negative() == false);
       }
     }
     WHEN("Commuting a X through qb1") {
       Qubit qb1(1);
       conjugate_PauliTensor(qpt, OpType::X, qb1);
-      auto it = qpt.string.map.find(qb1);
-      REQUIRE(it != qpt.string.map.end());
       THEN("Y becomes -Y") {
-        REQUIRE(it->second == Pauli::Y);
-        REQUIRE(std::abs(qpt.coeff + 1.) < EPS);
+        REQUIRE(qpt.get(qb1) == Pauli::Y);
+        REQUIRE(qpt.is_real_negative() == true);
       }
     }
     WHEN("Commuting a CX through qb0-qb1") {
       Qubit qb0(0), qb1(1);
       conjugate_PauliTensor(qpt, OpType::CX, qb0, qb1);
-      auto it0 = qpt.string.map.find(qb0);
-      auto it1 = qpt.string.map.find(qb1);
-      REQUIRE(it0 != qpt.string.map.end());
-      REQUIRE(it1 != qpt.string.map.end());
       THEN("XY becomes YZ") {
-        REQUIRE(it0->second == Pauli::Y);
-        REQUIRE(it1->second == Pauli::Z);
-        REQUIRE(std::abs(qpt.coeff - 1.) < EPS);
+        REQUIRE(qpt.get(qb0) == Pauli::Y);
+        REQUIRE(qpt.get(qb1) == Pauli::Z);
+        REQUIRE(qpt.is_real_negative() == false);
       }
     }
     WHEN("Commuting an XXPhase3 through qb0-qb1-qb2") {
       Qubit qb0(0), qb1(1), qb2(2);
       conjugate_PauliTensor(qpt, OpType::XXPhase3, qb0, qb1, qb2);
-      auto it0 = qpt.string.map.find(qb0);
-      auto it1 = qpt.string.map.find(qb1);
-      auto it2 = qpt.string.map.find(qb2);
-      REQUIRE(it0 != qpt.string.map.end());
-      REQUIRE(it1 != qpt.string.map.end());
-      REQUIRE(it2 != qpt.string.map.end());
       THEN("XYZ becomes -XZY") {
-        REQUIRE(it0->second == Pauli::X);
-        REQUIRE(it1->second == Pauli::Z);
-        REQUIRE(it2->second == Pauli::Y);
-        REQUIRE(std::abs(qpt.coeff + 1.) < EPS);
+        REQUIRE(qpt.get(qb0) == Pauli::X);
+        REQUIRE(qpt.get(qb1) == Pauli::Z);
+        REQUIRE(qpt.get(qb2) == Pauli::Y);
+        REQUIRE(qpt.is_real_negative() == true);
       }
     }
   }
   GIVEN("A 3qb XXX pauli tensor") {
-    QubitPauliTensor qpt({Pauli::X, Pauli::X, Pauli::X});
+    SpPauliStabiliser qpt(DensePauliMap{Pauli::X, Pauli::X, Pauli::X});
     WHEN("Commuting an XXPhase3 through qb0-qb1-qb2") {
       Qubit qb0(0), qb1(1), qb2(2);
-      auto it0 = qpt.string.map.find(qb0);
-      auto it1 = qpt.string.map.find(qb1);
-      auto it2 = qpt.string.map.find(qb2);
-      REQUIRE(it0 != qpt.string.map.end());
-      REQUIRE(it1 != qpt.string.map.end());
-      REQUIRE(it2 != qpt.string.map.end());
       THEN("XXX remains XXX") {
-        REQUIRE(it0->second == Pauli::X);
-        REQUIRE(it1->second == Pauli::X);
-        REQUIRE(it2->second == Pauli::X);
-        REQUIRE(std::abs(qpt.coeff - 1.) < EPS);
+        REQUIRE(qpt.get(qb0) == Pauli::X);
+        REQUIRE(qpt.get(qb1) == Pauli::X);
+        REQUIRE(qpt.get(qb2) == Pauli::X);
+        REQUIRE(qpt.is_real_negative() == false);
       }
     }
   }
 }
 
 SCENARIO("Test greedy diagonalisation explicitly") {
-  auto is_diagonal = [](const QubitPauliTensor& qpt) {
-    for (auto [qb, p] : qpt.string.map) {
+  auto is_diagonal = [](const SpSymPauliTensor& qpt) {
+    for (auto [qb, p] : qpt.string) {
       if (p != Pauli::I && p != Pauli::Z) {
         return false;
       }
@@ -821,45 +799,38 @@ SCENARIO("Test greedy diagonalisation explicitly") {
     return true;
   };
 
-  auto apply_strategy =
-      [](std::list<std::pair<QubitPauliTensor, Expr>>& gadgets,
-         std::set<Qubit>& qubits, Circuit& cliff_circ,
-         const CXConfigType config) {
-        while (!qubits.empty()) {
-          Conjugations conjugations;
-          greedy_diagonalise(gadgets, qubits, conjugations, cliff_circ, config);
-          for (auto& [g, expr] : gadgets) {
-            apply_conjugations(g, conjugations);
-          }
-          check_easy_diagonalise(gadgets, qubits, cliff_circ);
-        }
-      };
+  auto apply_strategy = [](std::list<SpSymPauliTensor>& gadgets,
+                           std::set<Qubit>& qubits, Circuit& cliff_circ,
+                           const CXConfigType config) {
+    while (!qubits.empty()) {
+      Conjugations conjugations;
+      greedy_diagonalise(gadgets, qubits, conjugations, cliff_circ, config);
+      for (auto& g : gadgets) {
+        apply_conjugations(g, conjugations);
+      }
+      check_easy_diagonalise(gadgets, qubits, cliff_circ);
+    }
+  };
   GIVEN("A large-ish set of PauliTensor") {
     unsigned n_qbs = 6;
     std::set<Qubit> qbs;
     for (unsigned i = 0; i < n_qbs; ++i) qbs.insert(Qubit(i));
 
-    std::list<std::pair<QubitPauliTensor, Expr>> gadgets;
+    std::list<SpSymPauliTensor> gadgets;
     Conjugations conjugations;
     Circuit cliff_circ(n_qbs);
 
     // commuting set
-    std::vector<QubitPauliTensor> tensors;
-    tensors.push_back(QubitPauliTensor(
-        {Pauli::Z, Pauli::Z, Pauli::Z, Pauli::X, Pauli::X, Pauli::X}));
-    tensors.push_back(QubitPauliTensor(
-        {Pauli::Z, Pauli::X, Pauli::Y, Pauli::Z, Pauli::Z, Pauli::X}));
-    tensors.push_back(QubitPauliTensor(
-        {Pauli::Z, Pauli::Y, Pauli::X, Pauli::Z, Pauli::Z, Pauli::X}));
-    tensors.push_back(QubitPauliTensor(
-        {Pauli::Z, Pauli::Y, Pauli::X, Pauli::Y, Pauli::Y, Pauli::X}));
-    tensors.push_back(QubitPauliTensor(
-        {Pauli::X, Pauli::Z, Pauli::Z, Pauli::Y, Pauli::Y, Pauli::Y}));
-    std::vector<Expr> exprs{1.13, 0.226, 0.013, 0.952, 1.88};
-
-    for (unsigned i = 0; i < 5; ++i) {
-      gadgets.push_back({tensors[i], exprs[i]});
-    }
+    gadgets.push_back(SpSymPauliTensor(
+        {Pauli::Z, Pauli::Z, Pauli::Z, Pauli::X, Pauli::X, Pauli::X}, 1.13));
+    gadgets.push_back(SpSymPauliTensor(
+        {Pauli::Z, Pauli::X, Pauli::Y, Pauli::Z, Pauli::Z, Pauli::X}, 0.226));
+    gadgets.push_back(SpSymPauliTensor(
+        {Pauli::Z, Pauli::Y, Pauli::X, Pauli::Z, Pauli::Z, Pauli::X}, 0.013));
+    gadgets.push_back(SpSymPauliTensor(
+        {Pauli::Z, Pauli::Y, Pauli::X, Pauli::Y, Pauli::Y, Pauli::X}, 0.952));
+    gadgets.push_back(SpSymPauliTensor(
+        {Pauli::X, Pauli::Z, Pauli::Z, Pauli::Y, Pauli::Y, Pauli::Y}, 1.88));
 
     WHEN("a single run with Snake configuration") {
       CXConfigType cx_config = CXConfigType::Snake;
@@ -874,7 +845,7 @@ SCENARIO("Test greedy diagonalisation explicitly") {
       apply_strategy(gadgets, qbs, cliff_circ, cx_config);
       THEN("gadgets are diagonal") {
         for (const auto& g : gadgets) {
-          REQUIRE(is_diagonal(g.first));
+          REQUIRE(is_diagonal(g));
         }
       }
     }
@@ -891,7 +862,7 @@ SCENARIO("Test greedy diagonalisation explicitly") {
       apply_strategy(gadgets, qbs, cliff_circ, cx_config);
       THEN("gadgets are diagonal") {
         for (const auto& g : gadgets) {
-          REQUIRE(is_diagonal(g.first));
+          REQUIRE(is_diagonal(g));
         }
       }
     }
@@ -908,7 +879,7 @@ SCENARIO("Test greedy diagonalisation explicitly") {
       apply_strategy(gadgets, qbs, cliff_circ, cx_config);
       THEN("gadgets are diagonal") {
         for (const auto& g : gadgets) {
-          REQUIRE(is_diagonal(g.first));
+          REQUIRE(is_diagonal(g));
         }
       }
     }
@@ -925,7 +896,7 @@ SCENARIO("Test greedy diagonalisation explicitly") {
       apply_strategy(gadgets, qbs, cliff_circ, cx_config);
       THEN("gadgets are diagonal") {
         for (const auto& g : gadgets) {
-          REQUIRE(is_diagonal(g.first));
+          REQUIRE(is_diagonal(g));
         }
       }
     }
@@ -941,23 +912,21 @@ SCENARIO("Diagonalise a pair of gadgets") {
   Circuit circ(n_qbs);
 
   // commuting set
-  std::vector<QubitPauliTensor> tensors;
-  tensors.push_back(QubitPauliTensor(
-      {Pauli::Z, Pauli::Z, Pauli::X, Pauli::I, Pauli::I, Pauli::X}));
-  tensors.push_back(QubitPauliTensor(
-      {Pauli::Z, Pauli::Z, Pauli::X, Pauli::Z, Pauli::Z, Pauli::I}));
-  std::vector<Expr> exprs{1.13, 0.226};
+  std::vector<SpSymPauliTensor> gadgets;
+  gadgets.push_back(SpSymPauliTensor(
+      {Pauli::Z, Pauli::Z, Pauli::X, Pauli::I, Pauli::I, Pauli::X}, 1.13));
+  gadgets.push_back(SpSymPauliTensor(
+      {Pauli::Z, Pauli::Z, Pauli::X, Pauli::Z, Pauli::Z, Pauli::I}, 0.226));
 
   Circuit correct;
   for (unsigned i = 0; i < 2; ++i) {
-    append_single_pauli_gadget(correct, tensors[i], exprs[i]);
+    append_single_pauli_gadget(correct, gadgets.at(i));
   }
   auto u_correct = tket_sim::get_unitary(correct);
 
   GIVEN("Snake configuration") {
     CXConfigType config = CXConfigType::Snake;
-    append_pauli_gadget_pair(
-        circ, tensors[0], exprs[0], tensors[1], exprs[1], config);
+    append_pauli_gadget_pair(circ, gadgets.at(0), gadgets.at(1), config);
     THEN("Unitary is correct") {
       auto u_res = tket_sim::get_unitary(circ);
       REQUIRE((u_correct - u_res).cwiseAbs().sum() < ERR_EPS);
@@ -965,8 +934,7 @@ SCENARIO("Diagonalise a pair of gadgets") {
   }
   GIVEN("Star configuration") {
     CXConfigType config = CXConfigType::Star;
-    append_pauli_gadget_pair(
-        circ, tensors[0], exprs[0], tensors[1], exprs[1], config);
+    append_pauli_gadget_pair(circ, gadgets.at(0), gadgets.at(1), config);
     THEN("Unitary is correct") {
       auto u_res = tket_sim::get_unitary(circ);
       REQUIRE((u_correct - u_res).cwiseAbs().sum() < ERR_EPS);
@@ -974,8 +942,7 @@ SCENARIO("Diagonalise a pair of gadgets") {
   }
   GIVEN("Tree configuration") {
     CXConfigType config = CXConfigType::Tree;
-    append_pauli_gadget_pair(
-        circ, tensors[0], exprs[0], tensors[1], exprs[1], config);
+    append_pauli_gadget_pair(circ, gadgets.at(0), gadgets.at(1), config);
     THEN("Unitary is correct") {
       auto u_res = tket_sim::get_unitary(circ);
       REQUIRE((u_correct - u_res).cwiseAbs().sum() < ERR_EPS);
@@ -983,8 +950,7 @@ SCENARIO("Diagonalise a pair of gadgets") {
   }
   GIVEN("MultiQGate configuration") {
     CXConfigType config = CXConfigType::MultiQGate;
-    append_pauli_gadget_pair(
-        circ, tensors[0], exprs[0], tensors[1], exprs[1], config);
+    append_pauli_gadget_pair(circ, gadgets.at(0), gadgets.at(1), config);
     circ.decompose_boxes_recursively();
     THEN("XXPhase3 were used") {
       REQUIRE(circ.count_gates(OpType::XXPhase3) == 2);
diff --git a/tket/test/src/test_PauliString.cpp b/tket/test/src/test_PauliString.cpp
deleted file mode 100644
index fca7fdbe63..0000000000
--- a/tket/test/src/test_PauliString.cpp
+++ /dev/null
@@ -1,277 +0,0 @@
-// Copyright 2019-2023 Cambridge Quantum Computing
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-//     http://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-#include <catch2/catch_test_macros.hpp>
-#include <iostream>
-
-#include "CircuitsForTesting.hpp"
-#include "testutil.hpp"
-#include "tket/Converters/PauliGadget.hpp"
-#include "tket/PauliGraph/ConjugatePauliFunctions.hpp"
-#include "tket/Utils/PauliStrings.hpp"
-
-namespace tket {
-namespace test_PauliString {
-
-SCENARIO("Testing equality of QubitPauliTensor") {
-  Qubit q0 = Qubit("q", 0);
-  Qubit q1 = Qubit("q", 1);
-  Qubit q2 = Qubit("r", 0);
-  Qubit q3 = Qubit("s");
-  Qubit q4 = Qubit("t", 0, 1);
-  Qubit q5 = Qubit("t", 0, 0);
-  GIVEN("Two exactly identical Pauli strings") {
-    QubitPauliMap map = {
-        {q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}, {q3, Pauli::Z}};
-    QubitPauliTensor a(map, i_);
-    QubitPauliTensor b(map, i_);
-    REQUIRE(a == b);
-    THEN("We add some extra Is on each one") {
-      a.string.map.insert({q4, Pauli::I});
-      b.string.map.insert({q5, Pauli::I});
-      REQUIRE(a == b);
-    }
-  }
-  GIVEN("Two Pauli strings with different Paulis but same coefficient") {
-    QubitPauliTensor a(q0, Pauli::X);
-    QubitPauliTensor b(q0, Pauli::Y);
-    REQUIRE(!(a == b));
-  }
-  GIVEN("Two Pauli strings with disjoint Paulis but same coefficient") {
-    QubitPauliTensor a(q0, Pauli::X);
-    QubitPauliTensor b(q1, Pauli::X);
-    REQUIRE(!(a == b));
-  }
-  GIVEN("Two Pauli strings with same Paulis but different coefficient") {
-    QubitPauliTensor a(q0, Pauli::X, 1.);
-    QubitPauliTensor b(q0, Pauli::X, i_);
-    REQUIRE(!(a == b));
-  }
-  GIVEN("Two completely different Pauli strings") {
-    QubitPauliString tensor_a(
-        {{q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}, {q3, Pauli::Z}});
-    QubitPauliString tensor_b(
-        {{q0, Pauli::X}, {q1, Pauli::I}, {q2, Pauli::Z}, {q4, Pauli::Y}});
-    QubitPauliTensor a(tensor_a, 1.);
-    QubitPauliTensor b(tensor_b, i_);
-    REQUIRE(!(a == b));
-  }
-}
-
-SCENARIO("Testing multiplication of QubitPauliTensor") {
-  Qubit q0 = Qubit("q", 0);
-  Qubit q1 = Qubit("q", 1);
-  Qubit q2 = Qubit("r", 0);
-  Qubit q3 = Qubit("s");
-  Qubit q4 = Qubit("t", 0, 1);
-  GIVEN("Two Pauli strings with disjoint non-trivial components") {
-    QubitPauliTensor a(q0, Pauli::X, 2.);
-    QubitPauliTensor b(q1, Pauli::Y, i_);
-    QubitPauliTensor c({{q0, Pauli::X}, {q1, Pauli::Y}}, 2. * i_);
-    REQUIRE((a * b) == c);
-  }
-  GIVEN("Multiplying by a trivial Pauli string") {
-    QubitPauliTensor a(q0, Pauli::X, 2.);
-    QubitPauliTensor b(q0, Pauli::X, 3. * i_);
-    REQUIRE((a * QubitPauliTensor(1.5 * i_)) == b);
-  }
-  GIVEN("Two exactly identical Pauli strings") {
-    QubitPauliMap map = {
-        {q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}, {q3, Pauli::Z}};
-    QubitPauliTensor a(map, i_);
-    QubitPauliTensor b(-1.);
-    REQUIRE((a * a) == b);
-  }
-  GIVEN("Each individual Pauli combination") {
-    QubitPauliTensor I(q0, Pauli::I);
-    QubitPauliTensor X(q0, Pauli::X);
-    QubitPauliTensor Y(q0, Pauli::Y);
-    QubitPauliTensor Z(q0, Pauli::Z);
-    QubitPauliTensor i(i_);
-    QubitPauliTensor mi(-i_);
-    REQUIRE((I * I) == I);
-    REQUIRE((I * X) == X);
-    REQUIRE((I * Y) == Y);
-    REQUIRE((I * Z) == Z);
-    REQUIRE((X * I) == X);
-    REQUIRE((X * X) == I);
-    REQUIRE((X * Y) == (i * Z));
-    REQUIRE((X * Z) == (mi * Y));
-    REQUIRE((Y * I) == Y);
-    REQUIRE((Y * X) == (mi * Z));
-    REQUIRE((Y * Y) == I);
-    REQUIRE((Y * Z) == (i * X));
-    REQUIRE((Z * I) == Z);
-    REQUIRE((Z * X) == (i * Y));
-    REQUIRE((Z * Y) == (mi * X));
-    REQUIRE((Z * Z) == I);
-  }
-  GIVEN("2*IXYZ(I) * -1.5i*XIZ(I)Y") {
-    QubitPauliString tensor_a(
-        {{q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}, {q3, Pauli::Z}});
-    QubitPauliString tensor_b(
-        {{q0, Pauli::X}, {q1, Pauli::I}, {q2, Pauli::Z}, {q4, Pauli::Y}});
-    QubitPauliTensor a(tensor_a, 2.);
-    QubitPauliTensor b(tensor_b, -1.5 * i_);
-    QubitPauliString tensor_c(
-        {{q0, Pauli::X},
-         {q1, Pauli::X},
-         {q2, Pauli::X},
-         {q3, Pauli::Z},
-         {q4, Pauli::Y}});
-    QubitPauliTensor c(tensor_c, 3.);
-    REQUIRE((a * b) == c);
-  }
-}
-
-SCENARIO("Test basic conjugations") {
-  const Qubit q0 = Qubit("q", 0);
-  const Qubit q1 = Qubit("q", 1);
-  Circuit circ;
-  circ.add_qubit(q0);
-  circ.add_qubit(q1);
-  // add some arbitrary rotations to get away from |00> state
-  const auto& prepend = CircuitsForTesting::get().prepend_2qb_circuit;
-  const double angle = 0.845;
-  // generate all different 2-qb pauli strings
-  std::vector<QubitPauliTensor> qps_vec;
-  for (const auto& map_entry : QubitPauliTensor::get_mult_matrix()) {
-    const std::pair<Pauli, Pauli>& paulis = map_entry.first;
-    QubitPauliMap map = {{q0, paulis.first}, {q1, paulis.second}};
-    QubitPauliTensor qps(map);
-    qps_vec.push_back(qps);
-  }
-
-  const auto perform_test = [&q0, &qps_vec, angle, &prepend](
-                                OpType op_type, OpType op_type_dag,
-                                OpType tensor_op_type, bool reverse = false) {
-    for (QubitPauliTensor qps : qps_vec) {
-      Circuit test(2);
-      test.add_op<unsigned>(op_type, {0});
-      append_single_pauli_gadget(test, qps, angle);
-      test.add_op<unsigned>(op_type_dag, {0});
-      test = prepend >> test;
-      conjugate_PauliTensor(qps, tensor_op_type, q0, reverse);
-      Circuit test1 = prepend;
-      append_single_pauli_gadget(test1, qps, angle);
-      REQUIRE(test_statevector_comparison(test, test1));
-    }
-  };
-
-  WHEN("Test Hs") { perform_test(OpType::H, OpType::H, OpType::H); }
-  WHEN("Test Ss") {
-    perform_test(OpType::S, OpType::Sdg, OpType::S);
-    perform_test(OpType::Sdg, OpType::S, OpType::S, true);
-  }
-  WHEN("Test Vs") {
-    perform_test(OpType::V, OpType::Vdg, OpType::V);
-    perform_test(OpType::Vdg, OpType::V, OpType::V, true);
-  }
-  WHEN("Test Xs") { perform_test(OpType::X, OpType::X, OpType::X); }
-  WHEN("Test Zs") { perform_test(OpType::Z, OpType::Z, OpType::Z); }
-  WHEN("Test CXs") {
-    for (QubitPauliTensor qps : qps_vec) {
-      Circuit test(2);
-      test.add_op<unsigned>(OpType::CX, {0, 1});
-      append_single_pauli_gadget(test, qps, angle);
-      test.add_op<unsigned>(OpType::CX, {0, 1});
-      test = prepend >> test;
-      conjugate_PauliTensor(qps, OpType::CX, q0, q1);
-      Circuit test2 = prepend;
-      append_single_pauli_gadget(test2, qps, angle);
-      REQUIRE(test_statevector_comparison(test, test2));
-    }
-  }
-}
-
-SCENARIO("Test hashing") {
-  GIVEN("Trivial strings") {
-    QubitPauliString qps1;
-    QubitPauliString qps2;
-    REQUIRE(hash_value(qps1) == hash_value(qps2));
-    WHEN("Add I Pauli") {
-      qps1.map[Qubit(0)] = Pauli::I;
-      REQUIRE(hash_value(qps1) == hash_value(qps2));
-    }
-  }
-  GIVEN("Nontrivial strings") {
-    QubitPauliMap qpm1{
-        {Qubit(0), Pauli::Z},
-        {Qubit(1), Pauli::Y},
-        {Qubit(2), Pauli::X},
-        {Qubit(3), Pauli::I}};
-    QubitPauliString qps1(qpm1);
-    QubitPauliString qps2(qpm1);
-    qps1.map[Qubit(4)] = Pauli::X;
-    qps2.map[Qubit(4)] = Pauli::X;
-    qps2.map[Qubit(5)] = Pauli::I;
-    REQUIRE(hash_value(qps1) == hash_value(qps2));
-  }
-  GIVEN("Trivial tensor") {
-    QubitPauliTensor qpt1;
-    QubitPauliTensor qpt2;
-    REQUIRE(hash_value(qpt1) == hash_value(qpt2));
-    WHEN("Add I Pauli") {
-      qpt1.string.map[Qubit(0)] = Pauli::I;
-      REQUIRE(hash_value(qpt1) == hash_value(qpt2));
-    }
-  }
-  GIVEN("Nontrivial tensors") {
-    QubitPauliMap qpm1{
-        {Qubit(0), Pauli::Z},
-        {Qubit(1), Pauli::Y},
-        {Qubit(2), Pauli::X},
-        {Qubit(3), Pauli::I}};
-    QubitPauliString qps1(qpm1);
-    QubitPauliString qps2(qpm1);
-    qps1.map[Qubit(4)] = Pauli::X;
-    qps2.map[Qubit(4)] = Pauli::X;
-    qps2.map[Qubit(5)] = Pauli::I;
-    QubitPauliTensor qpt1(qps1, .5 * i_);
-    QubitPauliTensor qpt2(qps2, .5 * i_);
-    qpt2.string.map[Qubit(6)] = Pauli::I;
-    REQUIRE(hash_value(qpt1) == hash_value(qpt2));
-  }
-}
-
-SCENARIO("Test matrix product utilities") {
-  GIVEN("Simple operator and its +1 eigenvector") {
-    const QubitPauliString op({{Qubit(0), Pauli::X}, {Qubit(1), Pauli::Y}});
-    Eigen::VectorXcd state(4);
-
-    state << Complex(0.5, 0), Complex(0, 0.5), Complex(0.5, 0), Complex(0, 0.5);
-    WHEN("Operator acts on statevector") {
-      Eigen::VectorXcd dotproduct = op.dot_state(state);
-      THEN("The eigenvector is unchanged") {
-        REQUIRE(dotproduct.isApprox(state));
-      }
-    }
-
-    WHEN("Expectation value is calculated w.r.t. +1 eigenvector") {
-      Complex eigenval = op.state_expectation(state);
-      THEN("The eigenvalue is correct") { REQUIRE(eigenval == Complex(1, 0)); }
-    }
-  }
-  GIVEN("A qubit list with repeats") {
-    const QubitPauliString op({{Qubit(0), Pauli::X}, {Qubit(1), Pauli::Y}});
-    REQUIRE_THROWS(op.to_sparse_matrix({Qubit(0), Qubit(0), Qubit(1)}));
-  }
-  GIVEN("A qubit list that doesn't contain all qubits in the string") {
-    const QubitPauliString op({{Qubit(0), Pauli::X}, {Qubit(1), Pauli::Y}});
-    REQUIRE_THROWS(op.to_sparse_matrix({Qubit(0), Qubit(2)}));
-  }
-}
-
-}  // namespace test_PauliString
-}  // namespace tket
diff --git a/tket/test/src/test_PauliTensor.cpp b/tket/test/src/test_PauliTensor.cpp
new file mode 100644
index 0000000000..3a90882922
--- /dev/null
+++ b/tket/test/src/test_PauliTensor.cpp
@@ -0,0 +1,623 @@
+// Copyright 2019-2023 Cambridge Quantum Computing
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include <catch2/catch_test_macros.hpp>
+
+#include "tket/Utils/PauliTensor.hpp"
+
+namespace tket {
+namespace test_PauliTensor {
+
+SCENARIO("Testing equality of sparse PauliTensor variants") {
+  Qubit q0 = Qubit("q", 0);
+  Qubit q1 = Qubit("q", 1);
+  Qubit q2 = Qubit("r", 0);
+  Qubit q3 = Qubit("s");
+  Qubit q4 = Qubit("t", 0, 1);
+  Qubit q5 = Qubit("t", 0, 0);
+  GIVEN("Two exactly identical Pauli strings") {
+    QubitPauliMap map = {
+        {q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}, {q3, Pauli::Z}};
+    SpCxPauliTensor a(map, i_);
+    SpCxPauliTensor b(map, i_);
+    REQUIRE(a == b);
+    THEN("We add some extra Is on each one") {
+      a.set(q4, Pauli::I);
+      b.set(q5, Pauli::I);
+      REQUIRE(a == b);
+    }
+  }
+  GIVEN("Two Pauli strings with different Paulis but same coefficient") {
+    SpPauliString a({{q0, Pauli::X}});
+    SpPauliString b({{q0, Pauli::Y}});
+    REQUIRE(a != b);
+    REQUIRE(a < b);
+  }
+  GIVEN("Two Pauli strings with disjoint Paulis but same coefficient") {
+    SpPauliString a(q0, Pauli::X);
+    SpPauliString b(q1, Pauli::X);
+    REQUIRE(a != b);
+    REQUIRE(b < a);
+  }
+  GIVEN("Two Pauli strings with same Paulis but different coefficient") {
+    SpCxPauliTensor a(q0, Pauli::X, 1.);
+    SpCxPauliTensor b(q0, Pauli::X, i_);
+    REQUIRE(a != b);
+    REQUIRE(b < a);
+  }
+  GIVEN("Two completely different Pauli strings") {
+    QubitPauliMap qpm_a(
+        {{q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}, {q3, Pauli::Z}});
+    QubitPauliMap qpm_b(
+        {{q0, Pauli::X}, {q1, Pauli::I}, {q2, Pauli::Z}, {q4, Pauli::Y}});
+    SpCxPauliTensor a(qpm_a, 1.);
+    SpCxPauliTensor b(qpm_b, i_);
+    REQUIRE(a != b);
+    REQUIRE(a < b);
+  }
+}
+
+SCENARIO("Testing equality of dense PauliTensor variants") {
+  GIVEN("Two exactly identical Pauli strings") {
+    DensePauliMap map = {Pauli::I, Pauli::X, Pauli::Y, Pauli::Z};
+    CxPauliTensor a(map, i_);
+    CxPauliTensor b(map, i_);
+    REQUIRE(a == b);
+    THEN("We add some extra Is on each one") {
+      a.set(4, Pauli::I);
+      b.set(5, Pauli::I);
+      REQUIRE(a == b);
+    }
+  }
+  GIVEN("Two Pauli strings with different Paulis but same coefficient") {
+    PauliString a({Pauli::X});
+    PauliString b({Pauli::Y});
+    REQUIRE(a != b);
+    REQUIRE(a < b);
+  }
+  GIVEN("Two Pauli strings with disjoint Paulis but same coefficient") {
+    PauliString a({Pauli::X});
+    PauliString b({Pauli::I, Pauli::X});
+    REQUIRE(a != b);
+    REQUIRE(b < a);
+  }
+  GIVEN("Two Pauli strings with same Paulis but different coefficient") {
+    CxPauliTensor a({Pauli::X}, 1.);
+    CxPauliTensor b({Pauli::X}, i_);
+    REQUIRE(a != b);
+    REQUIRE(b < a);
+  }
+  GIVEN("Two completely different Pauli strings") {
+    DensePauliMap qpm_a({Pauli::I, Pauli::X, Pauli::Y, Pauli::Z});
+    DensePauliMap qpm_b({Pauli::X, Pauli::I, Pauli::Z, Pauli::Y});
+    CxPauliTensor a(qpm_a, 1.);
+    CxPauliTensor b(qpm_b, i_);
+    REQUIRE(a != b);
+    REQUIRE(a < b);
+  }
+}
+
+SCENARIO("Testing casting between different PauliTensor variants") {
+  GIVEN("Casting between different coefficient types") {
+    SpPauliString a1{};
+    SpPauliStabiliser b1{};
+    SpPauliStabiliser bi({}, 1);
+    SpPauliStabiliser bm1({}, 2);
+    SpPauliStabiliser bmi({}, 3);
+    SpCxPauliTensor c1{};
+    SpCxPauliTensor ci({}, i_);
+    SpCxPauliTensor cm1({}, -1.);
+    SpCxPauliTensor cmi({}, -i_);
+    SpCxPauliTensor cval({}, 0.48 - 2.3 * i_);
+    SpSymPauliTensor d1{};
+    SpSymPauliTensor di({}, Expr(SymEngine::I));
+    SpSymPauliTensor dm1({}, -1.);
+    SpSymPauliTensor dmi({}, -Expr(SymEngine::I));
+    SpSymPauliTensor dval({}, 0.48 - 2.3 * i_);
+    SpSymPauliTensor dsym({}, Expr("a"));
+
+    CHECK((SpPauliString)a1 == a1);
+    CHECK((SpPauliString)b1 == a1);
+    CHECK((SpPauliString)c1 == a1);
+    CHECK((SpPauliString)d1 == a1);
+    CHECK((SpPauliStabiliser)a1 == b1);
+    CHECK((SpPauliStabiliser)b1 == b1);
+    CHECK((SpPauliStabiliser)c1 == b1);
+    CHECK((SpPauliStabiliser)d1 == b1);
+    CHECK((SpCxPauliTensor)a1 == c1);
+    CHECK((SpCxPauliTensor)b1 == c1);
+    CHECK((SpCxPauliTensor)c1 == c1);
+    CHECK((SpCxPauliTensor)d1 == c1);
+    CHECK((SpSymPauliTensor)a1 == d1);
+    CHECK((SpSymPauliTensor)b1 == d1);
+    CHECK((SpSymPauliTensor)c1 == d1);
+    CHECK((SpSymPauliTensor)d1 == d1);
+
+    CHECK((SpPauliString)bi == a1);
+    CHECK((SpPauliString)ci == a1);
+    CHECK((SpPauliString)di == a1);
+    CHECK((SpPauliStabiliser)bi == bi);
+    CHECK((SpPauliStabiliser)ci == bi);
+    CHECK((SpPauliStabiliser)di == bi);
+    CHECK((SpCxPauliTensor)bi == ci);
+    CHECK((SpCxPauliTensor)ci == ci);
+    CHECK((SpCxPauliTensor)di == ci);
+    CHECK((SpSymPauliTensor)bi == di);
+    CHECK((SpSymPauliTensor)ci == di);
+    CHECK((SpSymPauliTensor)di == di);
+
+    CHECK((SpPauliString)bm1 == a1);
+    CHECK((SpPauliString)cm1 == a1);
+    CHECK((SpPauliString)dm1 == a1);
+    CHECK((SpPauliStabiliser)bm1 == bm1);
+    CHECK((SpPauliStabiliser)cm1 == bm1);
+    CHECK((SpPauliStabiliser)dm1 == bm1);
+    CHECK((SpCxPauliTensor)bm1 == cm1);
+    CHECK((SpCxPauliTensor)cm1 == cm1);
+    CHECK((SpCxPauliTensor)dm1 == cm1);
+    CHECK((SpSymPauliTensor)bm1 == dm1);
+    CHECK((SpSymPauliTensor)cm1 == dm1);
+    CHECK((SpSymPauliTensor)dm1 == dm1);
+
+    CHECK((SpPauliString)bmi == a1);
+    CHECK((SpPauliString)cmi == a1);
+    CHECK((SpPauliString)dmi == a1);
+    CHECK((SpPauliStabiliser)bmi == bmi);
+    CHECK((SpPauliStabiliser)cmi == bmi);
+    CHECK((SpPauliStabiliser)dmi == bmi);
+    CHECK((SpCxPauliTensor)bmi == cmi);
+    CHECK((SpCxPauliTensor)cmi == cmi);
+    CHECK((SpCxPauliTensor)dmi == cmi);
+    CHECK((SpSymPauliTensor)bmi == dmi);
+    CHECK((SpSymPauliTensor)cmi == dmi);
+    CHECK((SpSymPauliTensor)dmi == dmi);
+
+    CHECK((SpPauliString)cval == a1);
+    CHECK((SpPauliString)dval == a1);
+    REQUIRE_THROWS((SpPauliStabiliser)cval);
+    REQUIRE_THROWS((SpPauliStabiliser)dval);
+    CHECK((SpCxPauliTensor)cval == cval);
+    CHECK((SpCxPauliTensor)dval == cval);
+    CHECK((SpSymPauliTensor)cval == dval);
+    CHECK((SpSymPauliTensor)dval == dval);
+
+    CHECK((SpPauliString)dsym == a1);
+    REQUIRE_THROWS((SpPauliStabiliser)dsym);
+    REQUIRE_THROWS((SpCxPauliTensor)dsym);
+    CHECK((SpSymPauliTensor)dsym == dsym);
+  }
+  GIVEN("Casting between different Pauli containers") {
+    PauliString ps({Pauli::I, Pauli::X, Pauli::Y});
+    SpPauliString sps({Qubit(1), Qubit(2)}, {Pauli::X, Pauli::Y});
+    SpPauliString non_default(Qubit("a", 0), Pauli::Z);
+
+    CHECK((SpPauliString)ps == sps);
+    CHECK((SpPauliString)sps == sps);
+    CHECK((PauliString)ps == ps);
+    CHECK((PauliString)sps == ps);
+    CHECK((SpPauliString)non_default == non_default);
+    REQUIRE_THROWS((PauliString)non_default);
+  }
+  GIVEN("Casting coefficient, keeping dense container") {
+    DensePauliMap dpm{Pauli::X, Pauli::I, Pauli::Z};
+    CHECK((PauliStabiliser)PauliString(dpm) == PauliStabiliser(dpm));
+    CHECK(
+        (SymPauliTensor)CxPauliTensor(dpm, 0.87 + 1.2 * i_) ==
+        SymPauliTensor(dpm, Expr(0.87 + 1.2 * i_)));
+  }
+}
+
+SCENARIO("Qubit partitions") {
+  GIVEN("Sparse PauliTensors") {
+    std::vector<Qubit> qs{Qubit(0),           Qubit("a", 0), Qubit("a", 1),
+                          Qubit("b", {0, 0}), Qubit("c", 4), Qubit("p", 12),
+                          Qubit("anc", 0),    Qubit(2)};
+    std::list<Qubit> qsl{qs.begin(), qs.end()};
+    SpPauliString xxyyzzii(
+        qsl, {Pauli::X, Pauli::X, Pauli::Y, Pauli::Y, Pauli::Z, Pauli::Z,
+              Pauli::I, Pauli::I});
+    SpPauliString ixyxyziz(
+        qsl, {Pauli::I, Pauli::X, Pauli::Y, Pauli::X, Pauli::Y, Pauli::Z,
+              Pauli::I, Pauli::Z});
+    xxyyzzii.compress();
+
+    // Common qubits should ignore Pauli::I matches
+    CHECK(
+        xxyyzzii.common_qubits(ixyxyziz) ==
+        std::set<Qubit>{qs[1], qs[2], qs[5]});
+    CHECK(
+        xxyyzzii.conflicting_qubits(ixyxyziz) == std::set<Qubit>{qs[3], qs[4]});
+    CHECK(xxyyzzii.own_qubits(ixyxyziz) == std::set<Qubit>{qs[0]});
+    CHECK(ixyxyziz.own_qubits(xxyyzzii) == std::set<Qubit>{qs[7]});
+  }
+  GIVEN("Dense PauliTensors") {
+    PauliString xxyyzzii(
+        {Pauli::X, Pauli::X, Pauli::Y, Pauli::Y, Pauli::Z, Pauli::Z, Pauli::I});
+    PauliString ixyxyziz(
+        {Pauli::I, Pauli::X, Pauli::Y, Pauli::X, Pauli::Y, Pauli::Z, Pauli::I,
+         Pauli::Z});
+
+    // Common indices should ignore Pauli::I matches
+    CHECK(xxyyzzii.common_indices(ixyxyziz) == std::set<unsigned>{1, 2, 5});
+    CHECK(xxyyzzii.conflicting_indices(ixyxyziz) == std::set<unsigned>{3, 4});
+    CHECK(xxyyzzii.own_indices(ixyxyziz) == std::set<unsigned>{0});
+    CHECK(ixyxyziz.own_indices(xxyyzzii) == std::set<unsigned>{7});
+  }
+}
+
+SCENARIO("String formatting of PauliTensor") {
+  CHECK(SpPauliString().to_str() == "()");
+  CHECK(SpPauliStabiliser({}, 0).to_str() == "()");
+  CHECK(SpPauliStabiliser({}, 1).to_str() == "i*()");
+  CHECK(SpPauliStabiliser({}, 2).to_str() == "-()");
+  CHECK(SpPauliStabiliser({}, 3).to_str() == "-i*()");
+  CHECK(SpCxPauliTensor({}, 1.).to_str() == "()");
+  CHECK(SpCxPauliTensor({}, -1.).to_str() == "-()");
+  CHECK(SpCxPauliTensor({}, 4.2 + 0.87 * i_).to_str() == "(4.2,0.87)*()");
+  CHECK(SpSymPauliTensor({}, 1.).to_str() == "()");
+  CHECK(SpSymPauliTensor({}, -1.).to_str() == "-()");
+  CHECK(
+      SpSymPauliTensor({}, 4.2 + 0.87 * Expr(SymEngine::I)).to_str() ==
+      "(4.2 + 0.87*I)*()");
+  CHECK(SpSymPauliTensor({}, Expr("2*a")).to_str() == "(2*a)*()");
+
+  CHECK(
+      SpPauliString({{Qubit("a", 2), Pauli::X},
+                     {Qubit("a", 0), Pauli::Z},
+                     {Qubit("b", 0), Pauli::I},
+                     {Qubit("b", 1), Pauli::Y}})
+          .to_str() == "(Za[0], Xa[2], Ib[0], Yb[1])");
+  CHECK(
+      PauliString({Pauli::I, Pauli::Z, Pauli::X, Pauli::Y, Pauli::I})
+          .to_str() == "IZXYI");
+  CHECK(PauliStabiliser({Pauli::X, Pauli::Y}, 2).to_str() == "-XY");
+  CHECK(
+      CxPauliTensor({Pauli::Z, Pauli::Z, Pauli::I}, 3.1 - 0.1 * i_).to_str() ==
+      "(3.1,-0.1)*ZZI");
+  CHECK(
+      SymPauliTensor(DensePauliMap(5, Pauli::Y), Expr("k")).to_str() ==
+      "(k)*YYYYY");
+}
+
+SCENARIO("Testing multiplication of sparse PauliTensor") {
+  Qubit q0 = Qubit("q", 0);
+  Qubit q1 = Qubit("q", 1);
+  Qubit q2 = Qubit("r", 0);
+  Qubit q3 = Qubit("s");
+  Qubit q4 = Qubit("t", 0, 1);
+  GIVEN("Two Pauli strings with disjoint non-trivial components") {
+    SpPauliString a(q0, Pauli::X);
+    SpPauliString b(q1, Pauli::Y);
+    SpPauliString c({{q0, Pauli::X}, {q1, Pauli::Y}});
+    REQUIRE((a * b) == c);
+  }
+  GIVEN("Multiplying by a trivial Pauli string") {
+    SpCxPauliTensor a(q0, Pauli::X, 2.);
+    SpCxPauliTensor b(q0, Pauli::X, 3. * i_);
+    REQUIRE((a * SpCxPauliTensor({}, 1.5 * i_)) == b);
+  }
+  GIVEN("Two exactly identical Pauli strings") {
+    QubitPauliMap map = {
+        {q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}, {q3, Pauli::Z}};
+    SpPauliStabiliser a(map, 3);
+    SpPauliStabiliser b({}, 2);
+    REQUIRE((a * a).get(q0) == Pauli::I);
+    REQUIRE((a * a) == b);
+  }
+  GIVEN("Each individual Pauli combination") {
+    SpPauliStabiliser I(q0, Pauli::I);
+    SpPauliStabiliser X(q0, Pauli::X);
+    SpPauliStabiliser Y(q0, Pauli::Y);
+    SpPauliStabiliser Z(q0, Pauli::Z);
+    SpPauliStabiliser i({}, 1);
+    SpPauliStabiliser mi({}, 3);
+    REQUIRE((I * I) == I);
+    REQUIRE((I * X) == X);
+    REQUIRE((I * Y) == Y);
+    REQUIRE((I * Z) == Z);
+    REQUIRE((X * I) == X);
+    REQUIRE((X * X) == I);
+    REQUIRE((X * Y) == (i * Z));
+    REQUIRE((X * Z) == (mi * Y));
+    REQUIRE((Y * I) == Y);
+    REQUIRE((Y * X) == (mi * Z));
+    REQUIRE((Y * Y) == I);
+    REQUIRE((Y * Z) == (i * X));
+    REQUIRE((Z * I) == Z);
+    REQUIRE((Z * X) == (i * Y));
+    REQUIRE((Z * Y) == (mi * X));
+    REQUIRE((Z * Z) == I);
+  }
+  GIVEN("2*IXYZ(I) * -1.5i*XIZ(I)Y") {
+    QubitPauliMap tensor_a(
+        {{q0, Pauli::I}, {q1, Pauli::X}, {q2, Pauli::Y}, {q3, Pauli::Z}});
+    QubitPauliMap tensor_b(
+        {{q0, Pauli::X}, {q1, Pauli::I}, {q2, Pauli::Z}, {q4, Pauli::Y}});
+    SpCxPauliTensor a(tensor_a, 2.);
+    SpCxPauliTensor b(tensor_b, -1.5 * i_);
+    QubitPauliMap tensor_c(
+        {{q0, Pauli::X},
+         {q1, Pauli::X},
+         {q2, Pauli::X},
+         {q3, Pauli::Z},
+         {q4, Pauli::Y}});
+    SpCxPauliTensor c(tensor_c, 3.);
+    REQUIRE((a * b) == c);
+  }
+}
+
+SCENARIO("Testing multiplication of dense PauliTensor") {
+  GIVEN("Two Pauli strings with disjoint non-trivial components") {
+    PauliString a({Pauli::X});
+    PauliString b({Pauli::I, Pauli::Y});
+    PauliString c({Pauli::X, Pauli::Y});
+    REQUIRE((a * b) == c);
+  }
+  GIVEN("Multiplying by a trivial Pauli string") {
+    CxPauliTensor a({Pauli::X}, 2.);
+    CxPauliTensor b({Pauli::X}, 3. * i_);
+    REQUIRE((a * CxPauliTensor({}, 1.5 * i_)) == b);
+  }
+  GIVEN("Two exactly identical Pauli strings") {
+    DensePauliMap map = {Pauli::I, Pauli::X, Pauli::Y, Pauli::Z};
+    PauliStabiliser a(map, 3);
+    PauliStabiliser b({}, 2);
+    REQUIRE((a * a) == b);
+  }
+  GIVEN("Each individual Pauli combination") {
+    PauliStabiliser I({Pauli::I});
+    PauliStabiliser X({Pauli::X});
+    PauliStabiliser Y({Pauli::Y});
+    PauliStabiliser Z({Pauli::Z});
+    PauliStabiliser i({}, 1);
+    PauliStabiliser mi({}, 3);
+    REQUIRE((I * I) == I);
+    REQUIRE((I * X) == X);
+    REQUIRE((I * Y) == Y);
+    REQUIRE((I * Z) == Z);
+    REQUIRE((X * I) == X);
+    REQUIRE((X * X) == I);
+    REQUIRE((X * Y) == (i * Z));
+    REQUIRE((X * Z) == (mi * Y));
+    REQUIRE((Y * I) == Y);
+    REQUIRE((Y * X) == (mi * Z));
+    REQUIRE((Y * Y) == I);
+    REQUIRE((Y * Z) == (i * X));
+    REQUIRE((Z * I) == Z);
+    REQUIRE((Z * X) == (i * Y));
+    REQUIRE((Z * Y) == (mi * X));
+    REQUIRE((Z * Z) == I);
+  }
+  GIVEN("2*IXYZ(I) * -1.5i*XIZ(I)Y") {
+    DensePauliMap tensor_a({Pauli::I, Pauli::X, Pauli::Y, Pauli::Z});
+    DensePauliMap tensor_b({Pauli::X, Pauli::I, Pauli::Z, Pauli::I, Pauli::Y});
+    CxPauliTensor a(tensor_a, 2.);
+    CxPauliTensor b(tensor_b, -1.5 * i_);
+    DensePauliMap tensor_c({Pauli::X, Pauli::X, Pauli::X, Pauli::Z, Pauli::Y});
+    CxPauliTensor c(tensor_c, 3.);
+    REQUIRE((a * b) == c);
+  }
+}
+
+SCENARIO("Test hashing for sparse PauliTensor") {
+  GIVEN("Trivial strings") {
+    SpPauliString qps1;
+    SpPauliString qps2;
+    REQUIRE(qps1.hash_value() == qps2.hash_value());
+    WHEN("Add I Pauli") {
+      qps1.set(Qubit(0), Pauli::I);
+      REQUIRE(qps1.hash_value() == qps2.hash_value());
+    }
+  }
+  GIVEN("Nontrivial strings") {
+    QubitPauliMap qpm{
+        {Qubit(0), Pauli::Z},
+        {Qubit(1), Pauli::Y},
+        {Qubit(2), Pauli::X},
+        {Qubit(3), Pauli::I}};
+    SpPauliString qps1(qpm);
+    SpPauliString qps2(qpm);
+    qps1.set(Qubit(4), Pauli::X);
+    qps2.set(Qubit(4), Pauli::X);
+    qps2.set(Qubit(5), Pauli::I);
+    REQUIRE(qps1.hash_value() == qps2.hash_value());
+  }
+  GIVEN("Trivial tensor") {
+    SpCxPauliTensor qpt1;
+    SpCxPauliTensor qpt2;
+    REQUIRE(qpt1.hash_value() == qpt2.hash_value());
+    WHEN("Add I Pauli") {
+      qpt1.set(Qubit(0), Pauli::I);
+      REQUIRE(qpt1.hash_value() == qpt2.hash_value());
+    }
+  }
+  GIVEN("Nontrivial tensors") {
+    QubitPauliMap qpm{
+        {Qubit(0), Pauli::Z},
+        {Qubit(1), Pauli::Y},
+        {Qubit(2), Pauli::X},
+        {Qubit(3), Pauli::I}};
+    SpSymPauliTensor qpt1(qpm, .5 * i_);
+    SpSymPauliTensor qpt2(qpm, .5 * i_);
+    qpt1.set(Qubit(4), Pauli::X);
+    qpt2.set(Qubit(4), Pauli::X);
+    qpt2.set(Qubit(5), Pauli::I);
+    qpt2.set(Qubit(6), Pauli::I);
+    REQUIRE(qpt1.hash_value() == qpt2.hash_value());
+  }
+}
+
+SCENARIO("Test hashing for dense PauliTensor") {
+  GIVEN("Trivial strings") {
+    PauliString qps1;
+    PauliString qps2;
+    REQUIRE(qps1.hash_value() == qps2.hash_value());
+    WHEN("Add I Pauli") {
+      qps1.set(0, Pauli::I);
+      REQUIRE(qps1.hash_value() == qps2.hash_value());
+    }
+  }
+  GIVEN("Nontrivial strings") {
+    DensePauliMap qpm{Pauli::Z, Pauli::Y, Pauli::X, Pauli::I};
+    PauliString qps1(qpm);
+    PauliString qps2(qpm);
+    qps1.set(4, Pauli::X);
+    qps2.set(4, Pauli::X);
+    qps2.set(5, Pauli::I);
+    REQUIRE(qps1.hash_value() == qps2.hash_value());
+  }
+  GIVEN("Stabilisers") {
+    DensePauliMap pm{Pauli::Z, Pauli::Y, Pauli::X, Pauli::I};
+    PauliStabiliser ps1(pm, 2);
+    PauliStabiliser ps2(pm, 6);
+    REQUIRE(ps1.hash_value() == ps2.hash_value());
+  }
+  GIVEN("Trivial tensor") {
+    CxPauliTensor qpt1;
+    CxPauliTensor qpt2;
+    REQUIRE(qpt1.hash_value() == qpt2.hash_value());
+    WHEN("Add I Pauli") {
+      qpt1.set(0, Pauli::I);
+      REQUIRE(qpt1.hash_value() == qpt2.hash_value());
+    }
+  }
+  GIVEN("Nontrivial tensors") {
+    DensePauliMap qpm{Pauli::Z, Pauli::Y, Pauli::X, Pauli::I};
+    SymPauliTensor qpt1(qpm, .5 * i_);
+    SymPauliTensor qpt2(qpm, .5 * i_);
+    qpt1.set(4, Pauli::X);
+    qpt2.set(4, Pauli::X);
+    qpt2.set(5, Pauli::I);
+    qpt2.set(6, Pauli::I);
+    REQUIRE(qpt1.hash_value() == qpt2.hash_value());
+  }
+}
+
+SCENARIO("json serialisation of PauliTensor") {
+  PauliString xyz({Pauli::X, Pauli::Y, Pauli::Z});
+  nlohmann::json j = xyz;
+  CHECK(j.get<PauliString>() == xyz);
+  SpPauliString za(Qubit("a", 0), Pauli::Z);
+  j = za;
+  CHECK(j.get<SpPauliString>() == za);
+  PauliStabiliser zz({Pauli::Z, Pauli::Z}, 3);
+  j = zz;
+  CHECK(j.get<PauliStabiliser>() == zz);
+  SpPauliStabiliser ziz({Pauli::Z, Pauli::I, Pauli::Z}, 2);
+  j = ziz;
+  CHECK(j.get<SpPauliStabiliser>() == ziz);
+  CxPauliTensor yiy({Pauli::Y, Pauli::I, Pauli::Y}, 0.2 * i_);
+  j = yiy;
+  CHECK(j.get<CxPauliTensor>() == yiy);
+  SpCxPauliTensor xb(Qubit("b", {1, 0}), Pauli::X, -2.3);
+  j = xb;
+  CHECK(j.get<SpCxPauliTensor>() == xb);
+  SymPauliTensor izyx({Pauli::I, Pauli::Z, Pauli::Y, Pauli::X}, Expr("g"));
+  j = izyx;
+  CHECK(j.get<SymPauliTensor>() == izyx);
+  SpSymPauliTensor xaxb(
+      {Qubit("a", 0), Qubit("b")}, {Pauli::X, Pauli::X}, -1.98);
+  j = xaxb;
+  CHECK(j.get<SpSymPauliTensor>() == xaxb);
+}
+
+SCENARIO("Test matrix evaluation") {
+  GIVEN("Default ordering") {
+    SpPauliString ixs({Qubit(0), Qubit(1)}, {Pauli::I, Pauli::X});
+    PauliString ixd({Pauli::I, Pauli::X});
+    CmplxSpMat ix(4, 4);
+    ix.insert(0, 1) = 1.;
+    ix.insert(1, 0) = 1.;
+    ix.insert(2, 3) = 1.;
+    ix.insert(3, 2) = 1.;
+    // Eigen sparse matrices don't have an equality check, isApprox is the
+    // nearest
+    CHECK(ixs.to_sparse_matrix().isApprox(ix));
+    CHECK(ixd.to_sparse_matrix().isApprox(ix));
+    SpPauliString ixq({{Qubit("b", 0), Pauli::X}, {Qubit("a", 1), Pauli::I}});
+    CHECK(ixq.to_sparse_matrix().isApprox(ix));
+  }
+  GIVEN("Padding to n qubits") {
+    SpPauliString ixs(DensePauliMap{Pauli::I, Pauli::X});
+    PauliString ixd({Pauli::I, Pauli::X});
+    CmplxSpMat ixi(8, 8);
+    ixi.insert(0, 2) = 1.;
+    ixi.insert(1, 3) = 1.;
+    ixi.insert(2, 0) = 1.;
+    ixi.insert(3, 1) = 1.;
+    ixi.insert(4, 6) = 1.;
+    ixi.insert(5, 7) = 1.;
+    ixi.insert(6, 4) = 1.;
+    ixi.insert(7, 5) = 1.;
+    CHECK(ixs.to_sparse_matrix(3).isApprox(ixi));
+    CHECK(ixd.to_sparse_matrix(3).isApprox(ixi));
+  }
+  GIVEN("Custom qubit ordering") {
+    SpPauliString ixs(DensePauliMap{Pauli::I, Pauli::X});
+    PauliString ixd({Pauli::I, Pauli::X});
+    CmplxSpMat xi(4, 4);
+    xi.insert(0, 2) = 1.;
+    xi.insert(1, 3) = 1.;
+    xi.insert(2, 0) = 1.;
+    xi.insert(3, 1) = 1.;
+    CmplxSpMat ixi(8, 8);
+    ixi.insert(0, 2) = 1.;
+    ixi.insert(1, 3) = 1.;
+    ixi.insert(2, 0) = 1.;
+    ixi.insert(3, 1) = 1.;
+    ixi.insert(4, 6) = 1.;
+    ixi.insert(5, 7) = 1.;
+    ixi.insert(6, 4) = 1.;
+    ixi.insert(7, 5) = 1.;
+    CHECK(ixs.to_sparse_matrix({Qubit(1), Qubit(0)}).isApprox(xi));
+    CHECK(ixs.to_sparse_matrix({Qubit(2), Qubit(1), Qubit(0)}).isApprox(ixi));
+    CHECK(ixd.to_sparse_matrix({Qubit(1), Qubit(0)}).isApprox(xi));
+    CHECK(ixd.to_sparse_matrix({Qubit(2), Qubit(1), Qubit(0)}).isApprox(ixi));
+  }
+  GIVEN("Different strings") {
+    PauliString xyzd({Pauli::X, Pauli::Y, Pauli::Z});
+    CmplxSpMat xyz(8, 8);
+    xyz.insert(0, 6) = -i_;
+    xyz.insert(1, 7) = i_;
+    xyz.insert(2, 4) = i_;
+    xyz.insert(3, 5) = -i_;
+    xyz.insert(4, 2) = -i_;
+    xyz.insert(5, 3) = i_;
+    xyz.insert(6, 0) = i_;
+    xyz.insert(7, 1) = -i_;
+    CHECK(xyzd.to_sparse_matrix().isApprox(xyz));
+  }
+  GIVEN("Different coefficients") {
+    CmplxSpMat ix(4, 4);
+    ix.insert(0, 1) = 1.;
+    ix.insert(1, 0) = 1.;
+    ix.insert(2, 3) = 1.;
+    ix.insert(3, 2) = 1.;
+    DensePauliMap ixd{Pauli::I, Pauli::X};
+    CHECK(PauliString(ixd).to_sparse_matrix().isApprox(ix));
+    CHECK(PauliStabiliser(ixd, 0).to_sparse_matrix().isApprox(ix));
+    CHECK(PauliStabiliser(ixd, 1).to_sparse_matrix().isApprox(i_ * ix));
+    CHECK(PauliStabiliser(ixd, 2).to_sparse_matrix().isApprox(-ix));
+    CHECK(PauliStabiliser(ixd, 3).to_sparse_matrix().isApprox(-i_ * ix));
+    CHECK(CxPauliTensor(ixd, 4.2 + 0.1 * i_)
+              .to_sparse_matrix()
+              .isApprox(Complex(4.2 + 0.1 * i_) * ix));
+    CHECK(SymPauliTensor(ixd, 4.2 + 0.1 * i_)
+              .to_sparse_matrix()
+              .isApprox(Complex(4.2 + 0.1 * i_) * ix));
+  }
+}
+
+}  // namespace test_PauliTensor
+}  // namespace tket
diff --git a/tket/test/src/test_Predicates.cpp b/tket/test/src/test_Predicates.cpp
index b98756abae..6117591837 100644
--- a/tket/test/src/test_Predicates.cpp
+++ b/tket/test/src/test_Predicates.cpp
@@ -270,7 +270,7 @@ SCENARIO("Test CliffordCircuitPredicate") {
   CircBox cbox(circ);
   Circuit circ1(8);
   circ1.add_box(cbox, {0, 1, 2, 3, 4, 5, 6, 7});
-  PauliExpBox pebox({Pauli::Y, Pauli::Z}, 0.5);
+  PauliExpBox pebox(SymPauliTensor({Pauli::Y, Pauli::Z}, 0.5));
   circ1.add_box(pebox, {0, 1});
   Circuit setup(2);
   Sym a = SymTable::fresh_symbol("a");
diff --git a/tket/test/src/test_UnitaryTableau.cpp b/tket/test/src/test_UnitaryTableau.cpp
index 1279980d60..68cd333c23 100644
--- a/tket/test/src/test_UnitaryTableau.cpp
+++ b/tket/test/src/test_UnitaryTableau.cpp
@@ -115,7 +115,7 @@ SCENARIO("Correct updates of SymplecticTableau") {
     SymplecticTableau tab2 = get_initial_stab_destab_tab();
     tab0.apply_S(0);
     tab1.apply_pauli_gadget(
-        PauliStabiliser({Pauli::Z, Pauli::I, Pauli::I}, true), 1);
+        PauliStabiliser({Pauli::Z, Pauli::I, Pauli::I}, 0), 1);
     tab2.apply_gate(OpType::S, {0});
     std::stringstream tabstr;
     tabstr << tab0;
@@ -140,7 +140,7 @@ SCENARIO("Correct updates of SymplecticTableau") {
     SymplecticTableau tab2 = get_initial_stab_destab_tab();
     tab0.apply_V(0);
     tab1.apply_pauli_gadget(
-        PauliStabiliser({Pauli::X, Pauli::I, Pauli::I}, true), 1);
+        PauliStabiliser({Pauli::X, Pauli::I, Pauli::I}, 0), 1);
     tab2.apply_gate(OpType::V, {0});
     std::stringstream tabstr;
     tabstr << tab0;
@@ -165,17 +165,17 @@ SCENARIO("Correct updates of SymplecticTableau") {
     SymplecticTableau tab3 = get_initial_stab_destab_tab();
     tab0.apply_CX(0, 1);
     tab1.apply_pauli_gadget(
-        PauliStabiliser({Pauli::Z, Pauli::I, Pauli::I}, true), 1);
+        PauliStabiliser({Pauli::Z, Pauli::I, Pauli::I}, 0), 1);
     tab1.apply_pauli_gadget(
-        PauliStabiliser({Pauli::I, Pauli::X, Pauli::I}, true), 1);
+        PauliStabiliser({Pauli::I, Pauli::X, Pauli::I}, 0), 1);
     tab1.apply_pauli_gadget(
-        PauliStabiliser({Pauli::Z, Pauli::X, Pauli::I}, false), 1);
+        PauliStabiliser({Pauli::Z, Pauli::X, Pauli::I}, 2), 1);
     tab2.apply_pauli_gadget(
-        PauliStabiliser({Pauli::Z, Pauli::I, Pauli::I}, true), 3);
+        PauliStabiliser({Pauli::Z, Pauli::I, Pauli::I}, 0), 3);
     tab2.apply_pauli_gadget(
-        PauliStabiliser({Pauli::I, Pauli::X, Pauli::I}, true), 3);
+        PauliStabiliser({Pauli::I, Pauli::X, Pauli::I}, 0), 3);
     tab2.apply_pauli_gadget(
-        PauliStabiliser({Pauli::Z, Pauli::X, Pauli::I}, false), 3);
+        PauliStabiliser({Pauli::Z, Pauli::X, Pauli::I}, 2), 3);
     tab3.apply_gate(OpType::CX, {0, 1});
     std::stringstream tabstr;
     tabstr << tab0;
@@ -196,12 +196,12 @@ SCENARIO("Correct updates of SymplecticTableau") {
 SCENARIO("Correct creation of UnitaryTableau") {
   GIVEN("An identity circuit") {
     UnitaryTableau tab(3);
-    REQUIRE(tab.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Z, 1.));
-    REQUIRE(tab.get_zrow(Qubit(1)) == QubitPauliTensor(Qubit(1), Pauli::Z, 1.));
-    REQUIRE(tab.get_zrow(Qubit(2)) == QubitPauliTensor(Qubit(2), Pauli::Z, 1.));
-    REQUIRE(tab.get_xrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::X, 1.));
-    REQUIRE(tab.get_xrow(Qubit(1)) == QubitPauliTensor(Qubit(1), Pauli::X, 1.));
-    REQUIRE(tab.get_xrow(Qubit(2)) == QubitPauliTensor(Qubit(2), Pauli::X, 1.));
+    REQUIRE(tab.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
+    REQUIRE(tab.get_zrow(Qubit(1)) == SpPauliStabiliser(Qubit(1), Pauli::Z));
+    REQUIRE(tab.get_zrow(Qubit(2)) == SpPauliStabiliser(Qubit(2), Pauli::Z));
+    REQUIRE(tab.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X));
+    REQUIRE(tab.get_xrow(Qubit(1)) == SpPauliStabiliser(Qubit(1), Pauli::X));
+    REQUIRE(tab.get_xrow(Qubit(2)) == SpPauliStabiliser(Qubit(2), Pauli::X));
   }
   GIVEN("A single S gate") {
     UnitaryTableau tab0(3);
@@ -214,11 +214,11 @@ SCENARIO("Correct creation of UnitaryTableau") {
     tab1.apply_S_at_end(Qubit(0));
     tab2.apply_gate_at_front(OpType::S, {Qubit(0)});
     tab3.apply_gate_at_end(OpType::S, {Qubit(0)});
-    tab4.apply_pauli_at_front(QubitPauliTensor(Qubit(0), Pauli::Z), 1);
-    tab5.apply_pauli_at_end(QubitPauliTensor(Qubit(0), Pauli::Z), 1);
+    tab4.apply_pauli_at_front(SpPauliStabiliser(Qubit(0), Pauli::Z), 1);
+    tab5.apply_pauli_at_end(SpPauliStabiliser(Qubit(0), Pauli::Z), 1);
     // Phases should match those in the tests for SymplecticTableau
-    CHECK(tab0.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Z, 1.));
-    CHECK(tab0.get_xrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Y, 1.));
+    CHECK(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
+    CHECK(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Y));
     CHECK(tab0 == tab1);
     CHECK(tab0 == tab2);
     CHECK(tab0 == tab3);
@@ -236,10 +236,10 @@ SCENARIO("Correct creation of UnitaryTableau") {
     tab1.apply_V_at_end(Qubit(0));
     tab2.apply_gate_at_front(OpType::V, {Qubit(0)});
     tab3.apply_gate_at_end(OpType::V, {Qubit(0)});
-    tab4.apply_pauli_at_front(QubitPauliTensor(Qubit(0), Pauli::X), 1);
-    tab5.apply_pauli_at_end(QubitPauliTensor(Qubit(0), Pauli::X), 1);
-    CHECK(tab0.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Y, -1.));
-    CHECK(tab0.get_xrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::X, 1.));
+    tab4.apply_pauli_at_front(SpPauliStabiliser(Qubit(0), Pauli::X), 1);
+    tab5.apply_pauli_at_end(SpPauliStabiliser(Qubit(0), Pauli::X), 1);
+    CHECK(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Y, 2));
+    CHECK(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X, 0));
     CHECK(tab0 == tab1);
     CHECK(tab0 == tab2);
     CHECK(tab0 == tab3);
@@ -259,8 +259,8 @@ SCENARIO("Correct creation of UnitaryTableau") {
     tab3.apply_gate_at_end(OpType::Vdg, {Qubit(0)});
     tab3.apply_gate_at_end(OpType::Sdg, {Qubit(0)});
     tab3.apply_gate_at_end(OpType::Vdg, {Qubit(0)});
-    CHECK(tab0.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::X, 1.));
-    CHECK(tab0.get_xrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Z, 1.));
+    CHECK(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X));
+    CHECK(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
     CHECK(tab0 == tab1);
     CHECK(tab0 == tab2);
     CHECK(tab0 == tab3);
@@ -272,22 +272,22 @@ SCENARIO("Correct creation of UnitaryTableau") {
     UnitaryTableau tab3(3);
     tab0.apply_CX_at_front(Qubit(0), Qubit(1));
     tab1.apply_CX_at_end(Qubit(0), Qubit(1));
-    tab2.apply_pauli_at_front(QubitPauliTensor(Qubit(0), Pauli::Z), 1);
-    tab2.apply_pauli_at_front(QubitPauliTensor(Qubit(1), Pauli::X), 1);
+    tab2.apply_pauli_at_front(SpPauliStabiliser(Qubit(0), Pauli::Z), 1);
+    tab2.apply_pauli_at_front(SpPauliStabiliser(Qubit(1), Pauli::X), 1);
     tab2.apply_pauli_at_front(
-        QubitPauliTensor(std::list<Pauli>{Pauli::Z, Pauli::X}), 3);
-    tab3.apply_pauli_at_end(QubitPauliTensor(Qubit(0), Pauli::Z), 3);
-    tab3.apply_pauli_at_end(QubitPauliTensor(Qubit(1), Pauli::X), 3);
+        SpPauliStabiliser(DensePauliMap{Pauli::Z, Pauli::X}), 3);
+    tab3.apply_pauli_at_end(SpPauliStabiliser(Qubit(0), Pauli::Z), 3);
+    tab3.apply_pauli_at_end(SpPauliStabiliser(Qubit(1), Pauli::X), 3);
     tab3.apply_pauli_at_end(
-        QubitPauliTensor(std::list<Pauli>{Pauli::Z, Pauli::X}), 1);
-    CHECK(tab0.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Z, 1.));
-    CHECK(tab0.get_xrow(Qubit(1)) == QubitPauliTensor(Qubit(1), Pauli::X, 1.));
+        SpPauliStabiliser(DensePauliMap{Pauli::Z, Pauli::X}), 1);
+    CHECK(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
+    CHECK(tab0.get_xrow(Qubit(1)) == SpPauliStabiliser(Qubit(1), Pauli::X));
     CHECK(
         tab0.get_zrow(Qubit(1)) ==
-        QubitPauliTensor(std::list<Pauli>({Pauli::Z, Pauli::Z})));
+        SpPauliStabiliser(DensePauliMap{Pauli::Z, Pauli::Z}));
     CHECK(
         tab0.get_xrow(Qubit(0)) ==
-        QubitPauliTensor(std::list<Pauli>({Pauli::X, Pauli::X})));
+        SpPauliStabiliser(DensePauliMap{Pauli::X, Pauli::X}));
     CHECK(tab0 == tab1);
     CHECK(tab0 == tab2);
     CHECK(tab0 == tab3);
@@ -301,8 +301,7 @@ SCENARIO("Correct creation of UnitaryTableau") {
   GIVEN("A PI/2 rotation") {
     Circuit circ = get_test_circ();
     UnitaryTableau tab = circuit_to_unitary_tableau(circ);
-    QubitPauliTensor pauli =
-        QubitPauliTensor(std::list<Pauli>{Pauli::X, Pauli::Y, Pauli::Z});
+    SpPauliStabiliser pauli(DensePauliMap{Pauli::X, Pauli::Y, Pauli::Z});
     tab.apply_pauli_at_end(pauli, 3);
 
     add_ops_list_two_to_circuit(circ, OpType::Sdg);
@@ -311,8 +310,7 @@ SCENARIO("Correct creation of UnitaryTableau") {
   }
   GIVEN("A PI/2 rotation at front") {
     UnitaryTableau tab = get_tableau_with_gates_applied_at_front();
-    QubitPauliTensor pauli =
-        QubitPauliTensor(std::list<Pauli>({Pauli::X, Pauli::Y, Pauli::Z}));
+    SpPauliStabiliser pauli(DensePauliMap{Pauli::X, Pauli::Y, Pauli::Z});
     tab.apply_pauli_at_front(pauli, 1);
 
     Circuit circ(3);
@@ -366,12 +364,12 @@ SCENARIO("Synthesis of circuits from UnitaryTableau") {
 SCENARIO("Correct creation of UnitaryRevTableau") {
   GIVEN("An identity circuit") {
     UnitaryRevTableau tab(3);
-    REQUIRE(tab.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Z, 1.));
-    REQUIRE(tab.get_zrow(Qubit(1)) == QubitPauliTensor(Qubit(1), Pauli::Z, 1.));
-    REQUIRE(tab.get_zrow(Qubit(2)) == QubitPauliTensor(Qubit(2), Pauli::Z, 1.));
-    REQUIRE(tab.get_xrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::X, 1.));
-    REQUIRE(tab.get_xrow(Qubit(1)) == QubitPauliTensor(Qubit(1), Pauli::X, 1.));
-    REQUIRE(tab.get_xrow(Qubit(2)) == QubitPauliTensor(Qubit(2), Pauli::X, 1.));
+    REQUIRE(tab.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
+    REQUIRE(tab.get_zrow(Qubit(1)) == SpPauliStabiliser(Qubit(1), Pauli::Z));
+    REQUIRE(tab.get_zrow(Qubit(2)) == SpPauliStabiliser(Qubit(2), Pauli::Z));
+    REQUIRE(tab.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X));
+    REQUIRE(tab.get_xrow(Qubit(1)) == SpPauliStabiliser(Qubit(1), Pauli::X));
+    REQUIRE(tab.get_xrow(Qubit(2)) == SpPauliStabiliser(Qubit(2), Pauli::X));
   }
   GIVEN("A single S gate") {
     UnitaryRevTableau tab0(3);
@@ -384,14 +382,14 @@ SCENARIO("Correct creation of UnitaryRevTableau") {
     tab1.apply_S_at_front(Qubit(0));
     tab2.apply_gate_at_end(OpType::S, {Qubit(0)});
     tab3.apply_gate_at_front(OpType::S, {Qubit(0)});
-    tab4.apply_pauli_at_end(QubitPauliTensor(Qubit(0), Pauli::Z), 1);
-    tab5.apply_pauli_at_front(QubitPauliTensor(Qubit(0), Pauli::Z), 1);
+    tab4.apply_pauli_at_end(SpPauliStabiliser(Qubit(0), Pauli::Z), 1);
+    tab5.apply_pauli_at_front(SpPauliStabiliser(Qubit(0), Pauli::Z), 1);
     // Reading the stabilizers in the reverse direction changes how we apply the
     // Pauli reorder rules to determine the correct phase:
     // U Q e^{-i P pi/4} = U e^{-i P pi/4}.
     // (iPQ) iZX = -Y
-    CHECK(tab0.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Z, 1.));
-    CHECK(tab0.get_xrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Y, -1.));
+    CHECK(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z, 0));
+    CHECK(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Y, 2));
     CHECK(tab0 == tab1);
     CHECK(tab0 == tab2);
     CHECK(tab0 == tab3);
@@ -409,11 +407,11 @@ SCENARIO("Correct creation of UnitaryRevTableau") {
     tab1.apply_V_at_front(Qubit(0));
     tab2.apply_gate_at_end(OpType::V, {Qubit(0)});
     tab3.apply_gate_at_front(OpType::V, {Qubit(0)});
-    tab4.apply_pauli_at_end(QubitPauliTensor(Qubit(0), Pauli::X), 1);
-    tab5.apply_pauli_at_front(QubitPauliTensor(Qubit(0), Pauli::X), 1);
+    tab4.apply_pauli_at_end(SpPauliStabiliser(Qubit(0), Pauli::X), 1);
+    tab5.apply_pauli_at_front(SpPauliStabiliser(Qubit(0), Pauli::X), 1);
     // iXZ = +Y
-    CHECK(tab0.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Y, 1.));
-    CHECK(tab0.get_xrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::X, 1.));
+    CHECK(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Y));
+    CHECK(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X));
     CHECK(tab0 == tab1);
     CHECK(tab0 == tab2);
     CHECK(tab0 == tab3);
@@ -425,10 +423,8 @@ SCENARIO("Correct creation of UnitaryRevTableau") {
     UnitaryRevTableau tab1(3);
     tab0.apply_gate_at_end(OpType::H, {Qubit(0)});
     tab1.apply_gate_at_front(OpType::H, {Qubit(0)});
-    REQUIRE(
-        tab0.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::X, 1.));
-    REQUIRE(
-        tab0.get_xrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Z, 1.));
+    REQUIRE(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X));
+    REQUIRE(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
     REQUIRE(tab0 == tab1);
   }
   GIVEN("A single CX gate") {
@@ -436,16 +432,14 @@ SCENARIO("Correct creation of UnitaryRevTableau") {
     UnitaryRevTableau tab1(3);
     tab0.apply_CX_at_end(Qubit(0), Qubit(1));
     tab1.apply_CX_at_front(Qubit(0), Qubit(1));
-    REQUIRE(
-        tab0.get_zrow(Qubit(0)) == QubitPauliTensor(Qubit(0), Pauli::Z, 1.));
-    REQUIRE(
-        tab0.get_xrow(Qubit(1)) == QubitPauliTensor(Qubit(1), Pauli::X, 1.));
+    REQUIRE(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
+    REQUIRE(tab0.get_xrow(Qubit(1)) == SpPauliStabiliser(Qubit(1), Pauli::X));
     REQUIRE(
         tab0.get_zrow(Qubit(1)) ==
-        QubitPauliTensor(std::list<Pauli>({Pauli::Z, Pauli::Z})));
+        SpPauliStabiliser(DensePauliMap{Pauli::Z, Pauli::Z}));
     REQUIRE(
         tab0.get_xrow(Qubit(0)) ==
-        QubitPauliTensor(std::list<Pauli>({Pauli::X, Pauli::X})));
+        SpPauliStabiliser(DensePauliMap{Pauli::X, Pauli::X}));
     REQUIRE(tab0 == tab1);
     std::stringstream tabstr;
     tabstr << tab0;
@@ -468,8 +462,7 @@ SCENARIO("Correct creation of UnitaryRevTableau") {
   GIVEN("A PI/2 rotation") {
     Circuit circ = get_test_circ();
     UnitaryRevTableau tab = circuit_to_unitary_rev_tableau(circ);
-    QubitPauliTensor pauli =
-        QubitPauliTensor(std::list<Pauli>{Pauli::X, Pauli::Y, Pauli::Z});
+    SpPauliStabiliser pauli(DensePauliMap{Pauli::X, Pauli::Y, Pauli::Z});
     tab.apply_pauli_at_end(pauli, 3);
 
     add_ops_list_two_to_circuit(circ, OpType::Sdg);
@@ -478,8 +471,7 @@ SCENARIO("Correct creation of UnitaryRevTableau") {
   }
   GIVEN("A PI/2 rotation at front") {
     UnitaryRevTableau tab = get_rev_tableau_with_gates_applied_at_front();
-    QubitPauliTensor pauli =
-        QubitPauliTensor(std::list<Pauli>({Pauli::X, Pauli::Y, Pauli::Z}));
+    SpPauliStabiliser pauli(DensePauliMap{Pauli::X, Pauli::Y, Pauli::Z});
     tab.apply_pauli_at_front(pauli, 1);
 
     Circuit circ(3);
@@ -595,19 +587,19 @@ SCENARIO("Unitary inversions") {
 
 SCENARIO("Compare SymplecticTableau and UnitaryTableau") {
   GIVEN("The same sequence of gates, compare string representations") {
-    SymplecticTableau stab(PauliStabiliserList{
-        {{Pauli::X, Pauli::I, Pauli::I}, true},
-        {{Pauli::I, Pauli::X, Pauli::I}, true},
-        {{Pauli::I, Pauli::I, Pauli::X}, true},
-        {{Pauli::Z, Pauli::I, Pauli::I}, true},
-        {{Pauli::I, Pauli::Z, Pauli::I}, true},
-        {{Pauli::I, Pauli::I, Pauli::Z}, true},
+    SymplecticTableau stab(PauliStabiliserVec{
+        {DensePauliMap{Pauli::X, Pauli::I, Pauli::I}},
+        {DensePauliMap{Pauli::I, Pauli::X, Pauli::I}},
+        {DensePauliMap{Pauli::I, Pauli::I, Pauli::X}},
+        {DensePauliMap{Pauli::Z, Pauli::I, Pauli::I}},
+        {DensePauliMap{Pauli::I, Pauli::Z, Pauli::I}},
+        {DensePauliMap{Pauli::I, Pauli::I, Pauli::Z}},
     });
     // Paulis cancel with subsequent gadget
     stab.apply_gate(OpType::X, uvec{0});
     stab.apply_gate(OpType::Y, uvec{1});
     stab.apply_gate(OpType::Z, uvec{2});
-    stab.apply_pauli_gadget({{Pauli::X, Pauli::Y, Pauli::Z}, true}, 2);
+    stab.apply_pauli_gadget({DensePauliMap{Pauli::X, Pauli::Y, Pauli::Z}}, 2);
     // CY and CZ combine to Sdg(0), CX(0, 1)
     stab.apply_gate(OpType::CY, uvec{0, 1});
     stab.apply_gate(OpType::CZ, uvec{0, 1});
@@ -631,8 +623,7 @@ SCENARIO("Compare SymplecticTableau and UnitaryTableau") {
     utab.apply_gate_at_front(OpType::SWAP, {Qubit(1), Qubit(2)});
     utab.apply_gate_at_front(OpType::CZ, {Qubit(0), Qubit(1)});
     utab.apply_gate_at_front(OpType::CY, {Qubit(0), Qubit(1)});
-    utab.apply_pauli_at_front(
-        QubitPauliTensor{{Pauli::X, Pauli::Y, Pauli::Z}}, 2);
+    utab.apply_pauli_at_front({DensePauliMap{Pauli::X, Pauli::Y, Pauli::Z}}, 2);
     utab.apply_gate_at_front(OpType::X, {Qubit(0)});
     utab.apply_gate_at_front(OpType::Y, {Qubit(1)});
     utab.apply_gate_at_front(OpType::Z, {Qubit(2)});
diff --git a/tket/test/src/test_json.cpp b/tket/test/src/test_json.cpp
index 0345e83ad1..13849fcca9 100644
--- a/tket/test/src/test_json.cpp
+++ b/tket/test/src/test_json.cpp
@@ -322,7 +322,7 @@ SCENARIO("Test Circuit serialization") {
   GIVEN("PauliExpBoxes") {
     Circuit c(4, 2, "paulibox");
     PauliExpBox pbox(
-        {Pauli::X, Pauli::Y, Pauli::I, Pauli::Z}, -0.72521,
+        {{Pauli::X, Pauli::Y, Pauli::I, Pauli::Z}, -0.72521},
         CXConfigType::MultiQGate);
     c.add_box(pbox, {0, 1, 2, 3});
     nlohmann::json j_pbox = c;
@@ -340,8 +340,8 @@ SCENARIO("Test Circuit serialization") {
   GIVEN("PauliExpPairBoxes") {
     Circuit c(4, 2, "paulipairbox");
     PauliExpPairBox pbox(
-        {Pauli::X, Pauli::Y, Pauli::I, Pauli::Z}, -0.72521,
-        {Pauli::X, Pauli::I, Pauli::I, Pauli::X}, -0.32421,
+        {{Pauli::X, Pauli::Y, Pauli::I, Pauli::Z}, -0.72521},
+        {{Pauli::X, Pauli::I, Pauli::I, Pauli::X}, -0.32421},
         CXConfigType::MultiQGate);
     c.add_box(pbox, {0, 1, 2, 3});
     nlohmann::json j_pbox = c;
@@ -1147,12 +1147,12 @@ SCENARIO("Test compiler pass combinator serializations") {
   }
 }
 
-SCENARIO("Test QubitPauliString serialization") {
-  QubitPauliString qps(
+SCENARIO("Test PauliTensor serialization") {
+  SpPauliString qps(
       {{Qubit(2), Pauli::X}, {Qubit(7), Pauli::Y}, {Qubit(0), Pauli::I}});
 
   nlohmann::json j_qps = qps;
-  QubitPauliString new_qps = j_qps.get<QubitPauliString>();
+  SpPauliString new_qps = j_qps.get<SpPauliString>();
 
   REQUIRE(qps == new_qps);
 }
@@ -1194,12 +1194,12 @@ SCENARIO("Test MeasurementSetup serializations") {
     ms.add_measurement_circuit(mc2);
     Qubit q0(q_default_reg(), 0);
     Qubit q1(q_default_reg(), 1);
-    QubitPauliString ii;
-    QubitPauliString zi({{q0, Pauli::Z}});
-    QubitPauliString iz({{q1, Pauli::Z}});
-    QubitPauliString zz({{q0, Pauli::Z}, {q1, Pauli::Z}});
-    QubitPauliString xx({{q0, Pauli::X}, {q1, Pauli::X}});
-    QubitPauliString yy({{q0, Pauli::Y}, {q1, Pauli::Y}});
+    QubitPauliMap ii;
+    QubitPauliMap zi({{q0, Pauli::Z}});
+    QubitPauliMap iz({{q1, Pauli::Z}});
+    QubitPauliMap zz({{q0, Pauli::Z}, {q1, Pauli::Z}});
+    QubitPauliMap xx({{q0, Pauli::X}, {q1, Pauli::X}});
+    QubitPauliMap yy({{q0, Pauli::Y}, {q1, Pauli::Y}});
     ms.add_result_for_term(ii, {0, {}, false});
     ms.add_result_for_term(zi, {0, {0}, false});
     ms.add_result_for_term(iz, {0, {1}, false});

From 931d0ff8c4d2d9cbd6d436e0250951f0513e3295 Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Thu, 2 Nov 2023 15:48:36 +0000
Subject: [PATCH 16/36] Remove unused files. (#1107)

---
 pytket/conanfile.py                           |  2 +-
 tket/benchmarks/CMakeLists.txt                | 32 ------------
 tket/benchmarks/circuit.cpp                   | 46 -----------------
 tket/benchmarks/circuit_random.cpp            | 50 -------------------
 ...dom_nb_qubits=20_nb_layers=200_example.tkc | 27 ----------
 tket/conanfile.py                             |  2 +-
 tket/src/Circuit/CMakeLists.txt               |  0
 7 files changed, 2 insertions(+), 157 deletions(-)
 delete mode 100644 tket/benchmarks/CMakeLists.txt
 delete mode 100644 tket/benchmarks/circuit.cpp
 delete mode 100644 tket/benchmarks/circuit_random.cpp
 delete mode 100644 tket/benchmarks/input_files/circuit_random_nb_qubits=20_nb_layers=200_example.tkc
 delete mode 100644 tket/src/Circuit/CMakeLists.txt

diff --git a/pytket/conanfile.py b/pytket/conanfile.py
index 3642b3862e..139dba5197 100644
--- a/pytket/conanfile.py
+++ b/pytket/conanfile.py
@@ -32,7 +32,7 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tket/1.2.63@tket/stable")
+        self.requires("tket/1.2.64@tket/stable")
         self.requires("tklog/0.3.3@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("tkassert/0.3.3@tket/stable")
diff --git a/tket/benchmarks/CMakeLists.txt b/tket/benchmarks/CMakeLists.txt
deleted file mode 100644
index 019f695816..0000000000
--- a/tket/benchmarks/CMakeLists.txt
+++ /dev/null
@@ -1,32 +0,0 @@
-# Copyright 2019-2023 Cambridge Quantum Computing
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#     http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-
-# INCLUDES are PRIVATE
-add_benchmark(circuit
-  LIBRARIES
-    tket
-  BENCHMARK			# Already adds benchmark specific includes
-    googlebenchmark
-  INCLUDES
-    ${TKET_SRC_DIR} ${TKET_INCLUDE_DIR})
-# INCLUDES are PRIVATE
-add_benchmark(circuit_random
-  INPUT_FILES
-    circuit_random_nb_qubits=20_nb_layers=200_example.tkc
-  LIBRARIES
-    tket
-  BENCHMARK			# Already adds benchmark specific includes
-    googlebenchmark
-  INCLUDES
-    ${TKET_SRC_DIR} ${TKET_INCLUDE_DIR})
diff --git a/tket/benchmarks/circuit.cpp b/tket/benchmarks/circuit.cpp
deleted file mode 100644
index 136431ba55..0000000000
--- a/tket/benchmarks/circuit.cpp
+++ /dev/null
@@ -1,46 +0,0 @@
-// Copyright 2019-2023 Cambridge Quantum Computing
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-//     http://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-#include <benchmark/benchmark.h>
-
-// tket includes
-#include "Circuit/Circuit.hpp"
-
-class FX_Circuit : public ::benchmark::Fixture {
- public:
-  FX_Circuit() {}
-  void SetUp(const ::benchmark::State& state) {
-    for (int nb_gates = 1; nb_gates < state.range(0); ++nb_gates) {
-      circuit.add_op<unsigned>(tket::OpType::X, {0});
-    }
-  }
-  void TearDown(const ::benchmark::State&) {}
-  ~FX_Circuit() {}
-  tket::Circuit circuit = tket::Circuit(4);
-};
-
-BENCHMARK_DEFINE_F(FX_Circuit, BM_Circuit)(benchmark::State& state) {
-  // Benchmark timing the Circuit::get_OpType_slices method
-  for (auto _ : state) {
-    circuit.get_OpType_slices(tket::OpType::X);
-  }
-}
-
-BENCHMARK_REGISTER_F(FX_Circuit, BM_Circuit)
-    ->DenseRange(0, 1000, 100)
-    ->Iterations(1000)
-    ->Repetitions(4)
-    ->Unit(benchmark::kMicrosecond);
-
-BENCHMARK_MAIN();
diff --git a/tket/benchmarks/circuit_random.cpp b/tket/benchmarks/circuit_random.cpp
deleted file mode 100644
index dc95b396f3..0000000000
--- a/tket/benchmarks/circuit_random.cpp
+++ /dev/null
@@ -1,50 +0,0 @@
-// Copyright 2019-2023 Cambridge Quantum Computing
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-//     http://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-#include <benchmark/benchmark.h>
-
-#include <cstdlib>
-#include <fstream>
-#include <iostream>
-
-// tket includes
-#include "Circuit/Circuit.hpp"
-
-class FX_Circuit_Random : public ::benchmark::Fixture {
- public:
-  FX_Circuit_Random() {}
-  void SetUp(const ::benchmark::State&) {}
-  void TearDown(const ::benchmark::State&) {}
-  ~FX_Circuit_Random() {}
-  // TODO: Find a way to pass file path from benchmark arguments rather than
-  // hardcoded.
-  tket::Circuit circuit_random = tket::Circuit(
-      "./input_files/circuit_random_nb_qubits=20_nb_layers=200_example.tkc");
-};
-
-BENCHMARK_DEFINE_F(FX_Circuit_Random, BM_Circuit_Random)
-(benchmark::State& state) {
-  // Benchmark timing the Circuit::get_OpType_slices method
-  for (auto _ : state) {
-    circuit_random.get_OpType_slices(tket::OpType::CX);
-  }
-}
-
-BENCHMARK_REGISTER_F(FX_Circuit_Random, BM_Circuit_Random)
-    // ->DenseRange(0, 100, 100)
-    ->Iterations(1000)
-    ->Repetitions(4)
-    ->Unit(benchmark::kMicrosecond);
-
-BENCHMARK_MAIN();
diff --git a/tket/benchmarks/input_files/circuit_random_nb_qubits=20_nb_layers=200_example.tkc b/tket/benchmarks/input_files/circuit_random_nb_qubits=20_nb_layers=200_example.tkc
deleted file mode 100644
index 068989b470..0000000000
--- a/tket/benchmarks/input_files/circuit_random_nb_qubits=20_nb_layers=200_example.tkc
+++ /dev/null
@@ -1,27 +0,0 @@
-22 serialization::archive 17 1 0
-0 0 0 3040 4020 0 0 0 1 4 12 tket::MetaOp 1 0
-1 0 0 0 0 0 0 0 4
-2 1 0 0 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 4 1 4 2 7 10 tket::Gate 1 0
-3 12 0 0 0 0 1 7
-4 18 0 0 1 7 4 7 3 7 4 7 4 7 3 7 4 7 4 7 4 7
-5 26 0 0 2 7 5 7 5 7 5 7 5 7 3 7 4 7 3 7 3 7 3 7 3 7 4 7 3 7 4 7 3 7 5 7 5 7 5 7 5 7 5 7 3 7 4 7 4 7 4 7 4 7 4 7 3 7 4 7 4 7 3 7 5 7 5 7 5 7 5 7 5 7 4 7 3 7 4 7 4 7 4 7 3 7 4 7 4 7 4 7 4 7 5 7 5 7 5 7 5 7 5 7 3 7 4 7 4 7 3 7 3 7 4 7 4 7 4 7 3 7 3 7 5 7 5 7 5 7 5 7 5 7 3 7 4 7 4 7 4 7 3 7 3 7 4 7 3 7 4 7 3 7 5 7 5 7 5 7 5 7 5 7 3 7 4 7 3 7 3 7 4 7 3 7 4 7 4 7 3 7 4 7 5 7 5 7 5 7 5 7 5 7 4 7 3 7 4 7 3 7 4 7 4 7 3 7 4 7 4 7 3 7 5 7 5 7 5 7 5 7 5 7 4 7 3 7 4 7 3 7 4 7 3 7 4 7 4 7 4 7 3 7 5 7 5 7 5 7 5 7 5 7 4 7 3 7 3 7 4 7 3 7 4 7 3 7 3 7 4 7 4 7 5 7 5 7 5 7 5 7 5 7 4 7 3 7 3 7 4 7 4 7 4 7 3 7 3 7 3 7 4 7 5 7 5 7 5 7 5 7 5 7 4 7 3 7 3 7 4 7 4 7 3 7 4 7 4 7 3 7 3 7 5 7 5 7 5 7 5 7 5 7 4 7 4 7 3 7 3 7 4 7 3 7 4 7 4 7 3 7 3 7 5 7 5 7 5 7 5 7 5 7 3 7 4 7 3 7 3 7 4 7 4 7 3 7 3 7 3 7 3 7 5 7 5 7 5 7 5 7 5 7 4 7 3 7 3 7 3 7 3 7 4 7 4 7 4 7 4 7 4 7 5 7 5 7 5 7 5 7 5 7 3 7 3 7 4 7 4 7 3 7 4 7 4 7 4 7 3 7 4 7 5 7 5 7 5 7 5 7 5 7 4 7 3 7 4 7 3 7 3 7 3 7 4 7 4 7 4 7 4 7 5 7 5 7 5 7 5 7 5 7 4 7 3 7 4 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0 3010 3028 0 0 0 3028 19 0 0 0 3020 3029 0 1 0 3029 35 0 0 0 3022 3030 0 1 0 3030 29 0 0 0 3016 3031 0 0 0 3031 1 0 0 0 3021 3032 0 0 0 3032 11 0 0 0 3018 3033 0 0 0 3033 33 0 0 0 3024 3034 0 0 0 3034 17 0 0 0 3022 3035 0 0 0 3035 5 0 0 0 3012 3035 0 0 1 3035 21 0 1 0 3017 3036 0 0 0 3036 37 0 0 0 3011 3036 0 0 1 3036 27 0 1 0 3015 3037 0 0 0 3037 3 0 0 0 3021 3037 0 1 1 3037 15 0 1 0 3014 3038 0 0 0 3038 9 0 0 0 3023 3038 0 1 1 3038 25 0 1 0 3024 3039 0 1 0 3039 39 0 0 0 3020 3039 0 0 1 3039 31 0 1 0 0 0 0 0 20 0 0 0 0 0 0 1 16 1 0
-6 1 q 1 0 0 0 0 1 16
-7 1 q 1 0 1 0 2 3 16
-8 1 q 1 0 2 0 4 5 16
-9 1 q 1 0 3 0 6 7 16
-10 1 q 1 0 4 0 8 9 16
-11 1 q 1 0 5 0 10 11 16
-12 1 q 1 0 6 0 12 13 16
-13 1 q 1 0 7 0 14 15 16
-14 1 q 1 0 8 0 16 17 16
-15 1 q 1 0 9 0 18 19 16
-16 1 q 1 0 10 0 20 21 16
-17 1 q 1 0 11 0 22 23 16
-18 1 q 1 0 12 0 24 25 16
-19 1 q 1 0 13 0 26 27 16
-20 1 q 1 0 14 0 28 29 16
-21 1 q 1 0 15 0 30 31 16
-22 1 q 1 0 16 0 32 33 16
-23 1 q 1 0 17 0 34 35 16
-24 1 q 1 0 18 0 36 37 16
-25 1 q 1 0 19 0 38 39
\ No newline at end of file
diff --git a/tket/conanfile.py b/tket/conanfile.py
index c21629af57..370cb07e28 100644
--- a/tket/conanfile.py
+++ b/tket/conanfile.py
@@ -23,7 +23,7 @@
 
 class TketConan(ConanFile):
     name = "tket"
-    version = "1.2.63"
+    version = "1.2.64"
     package_type = "library"
     license = "Apache 2"
     homepage = "https://github.com/CQCL/tket"
diff --git a/tket/src/Circuit/CMakeLists.txt b/tket/src/Circuit/CMakeLists.txt
deleted file mode 100644
index e69de29bb2..0000000000

From 02b7a623bd960d553ea0d71430df19e141df7e70 Mon Sep 17 00:00:00 2001
From: CalMacCQ <93673602+CalMacCQ@users.noreply.github.com>
Date: Thu, 2 Nov 2023 19:03:33 +0000
Subject: [PATCH 17/36] Add pytket extensions index page to pytket API docs
 (#1105)

* add extensions index to API docs

* remove duplicate extensions link

* Solve docs build failure caused by duplicate link warnings

* Use smaller text for sub-headings

* Put QuantinuumBackend QPU first and update devices

* some cleanup

* remove duplicate links from sidebar
---
 pytket/docs/extensions_index.rst | 159 +++++++++++++++++++++++++++++++
 pytket/docs/index.rst            |   5 +-
 2 files changed, 161 insertions(+), 3 deletions(-)
 create mode 100644 pytket/docs/extensions_index.rst

diff --git a/pytket/docs/extensions_index.rst b/pytket/docs/extensions_index.rst
new file mode 100644
index 0000000000..8c26c94475
--- /dev/null
+++ b/pytket/docs/extensions_index.rst
@@ -0,0 +1,159 @@
+pytket extensions
+=================
+
+The pytket extensions are separate python modules which allow pytket to interface with backends from a range of providers including quantum devices from Quantinuum and IBM.
+In pytket a ``Backend`` represents a connection to a QPU (Quantum Processing Unit) or simulator for processing quantum circuits. One can also access additional quantum devices and simulators via the cloud through the extensions for `Azure <https://cqcl.github.io/pytket-qsharp/api/api.html#pytket.extensions.qsharp.AzureBackend>`_ and `Braket <https://tket.quantinuum.com/extensions/pytket-braket/api/api.html#pytket.extensions.braket.BraketBackend>`_ . 
+
+Additionally, the extensions allow pytket to cross-compile circuits from different quantum computing libraries with the extensions for `qiskit <https://tket.quantinuum.com/extensions/pytket-qiskit/api/index.html>`_, `cirq <https://tket.quantinuum.com/extensions/pytket-cirq/api/index.html>`_ and `pennylane <https://tket.quantinuum.com/extensions/pytket-pennylane/api/index.html>`_ . This enables pytket's compilation features to be used in conjunction with other software tools.
+
+The additional modules can be installed adding the extension name to the installation command for pytket. For example pytket-quantinuum can be installed by running
+
+::
+
+   pip install pytket-quantinuum
+
+The types of ``Backend`` available in pytket are the following
+
+Types of Backend
+----------------
+
+* **QPUs** - These are real quantum computers that return shots based results. E.g the `QuantinuumBackend <https://tket.quantinuum.com/extensions/pytket-quantinuum/api.html#pytket.extensions.quantinuum.QuantinuumBackend>`_ .
+* **Cloud Access** - Cloud backends allow pytket to interface with cloud platforms to access additional QPUs and simulators. E.g `BraketBackend <https://tket.quantinuum.com/extensions/pytket-braket/api.html#pytket.extensions.braket.BraketBackend>`_ .
+* **Emulators** - These classically simulate a circuit and produce shots based results. Sometimes emulators use a noise model and have connectivity constraints to emulate real QPUs. E.g. `IBMQEmulatorBackend`_ 
+* **Statevector Simulators** - Calculates the pure quantum state prepared by a circuit returning a vector/ndarray. Examples of statevector simulators are the `ForestStateBackend`_ and the `AerStateBackend`_. 
+* **Unitary Simulators** - Unitary simulators calculate the unitary operator that is applied by a circuit. A unitary matrix/ndarray is returned `AerUnitaryBackend`_ is an example of such a simulator.
+* **Density Matrix Simulators** - These simulators compute the density matrix prepared by a circuit. The result can be a statistical mixture of states in contrast to statevector simulation. E.g. `CirqDensityMatrixSampleBackend`_
+* **Other specialised simulators** - There are extensions for simulating specific types of circuit. For instance the `SimplexBackend`_ is designed to simulate Clifford circuits. 
+
+A full list of available pytket backends is shown below.
+
+QPUs
+----
+
+`QuantinuumBackend <https://tket.quantinuum.com/extensions/pytket-quantinuum/api.html#pytket.extensions.quantinuum.QuantinuumBackend>`_
+- Interface to a remote Quantinuum device or simulator. There are currently two Quantinuum devices offered (H1-1 and H2-1).
+
+`IBMQBackend <https://tket.quantinuum.com/extensions/pytket-qiskit/api.html#pytket.extensions.qiskit.IBMQBackend>`_
+- A backend for running circuits on remote IBMQ devices.
+
+`IonQBackend <https://cqcl.github.io/pytket-ionq/api/api.html#pytket.extensions.ionq.IonQBackend>`_
+- A backend for running circuits on remote IONQ devices.
+
+`ForestBackend <https://tket.quantinuum.com/extensions/pytket-pyquil/api.html#pytket.extensions.pyquil.ForestBackend>`_
+- A backend for running circuits on remote Rigetti devices.
+
+`AQTBackend <https://cqcl.github.io/pytket-aqt/api/api.html#pytket.extensions.aqt.AQTBackend>`_
+- Interface to an AQT device or simulator.
+
+`IQMBackend <https://tket.quantinuum.com/extensions/pytket-iqm/api.html#pytket.extensions.iqm.IQMBackend>`_
+- Interface to an IQM device or simulator.
+
+Cloud Access
+------------
+
+`AzureBackend <https://cqcl.github.io/pytket-qsharp/api/api.html#pytket.extensions.qsharp.AzureBackend>`_
+- Backend for running circuits remotely using Azure Quantum devices and simulators.
+
+`BraketBackend <https://tket.quantinuum.com/extensions/pytket-braket/api.html#pytket.extensions.braket.BraketBackend>`_
+- Interface to Amazon Braket service.
+
+Emulators
+---------
+
+`IBMQEmulatorBackend`_ - A backend which uses the `AerBackend <https://tket.quantinuum.com/extensions/pytket-qiskit/api.html#pytket.extensions.qiskit.AerBackend>`_ to emulate the behavior of IBMQBackend.
+
+`QuantinuumBackend <https://tket.quantinuum.com/extensions/pytket-quantinuum/api.html#pytket.extensions.quantinuum.QuantinuumBackend>`_
+- The QuantinuumBackend has two available emulators namely H1-1E and H1-2E. These are device specific emulators for the H1-1 and H1-2 devices. These emualtors run remotely on a server.
+
+Statevector Simulators
+----------------------
+
+`CirqStateSampleBackend <https://tket.quantinuum.com/extensions/pytket-cirq/api.html#pytket.extensions.cirq.CirqStateSampleBackend>`_
+- Backend for Cirq statevector simulator sampling.
+
+`CirqStateSimBackend <https://tket.quantinuum.com/extensions/pytket-cirq/api.html#pytket.extensions.cirq.CirqStateSimBackend>`_
+- Backend for Cirq statevector simulator state return.
+
+`AerStateBackend`_ - Backend for running simulations on the Qiskit Aer Statevector simulator.
+
+`ForestStateBackend`_ - State-based interface to a Rigetti device.
+
+`ProjectQBackend <https://tket.quantinuum.com/extensions/pytket-projectq/api.html#pytket.extensions.projectq.ProjectQBackend>`_
+- Backend for running statevector simulations on the ProjectQ simulator.
+
+Unitary Simulators
+------------------
+
+`AerUnitaryBackend`_ - Backend for running simulations on the Qiskit Aer unitary simulator.
+
+Density Matrix Simulators
+-------------------------
+
+`CirqDensityMatrixSampleBackend`_
+- Backend for Cirq density matrix simulator sampling.
+
+`CirqDensityMatrixSimBackend <https://tket.quantinuum.com/extensions/pytket-cirq/api.html#pytket.extensions.cirq.CirqDensityMatrixSimBackend>`_
+- Backend for Cirq density matrix simulator density_matrix return.
+
+Clifford Simulators
+-------------------
+
+`CirqCliffordSampleBackend <https://tket.quantinuum.com/extensions/pytket-cirq/api.html#pytket.extensions.cirq.CirqCliffordSampleBackend>`_
+- Backend for Cirq Clifford simulator sampling.
+
+`CirqCliffordSimBackend <https://tket.quantinuum.com/extensions/pytket-cirq/api.html#pytket.extensions.cirq.CirqCliffordSimBackend>`_
+- Backend for Cirq Clifford simulator state return.
+
+`SimplexBackend`_- Backend for simulating Clifford circuits using pysimplex.
+
+`StimBackend <https://tket.quantinuum.com/extensions/pytket-stim/api.html#pytket.extensions.stim.StimBackend>`_
+- Backend for simulating Clifford circuits using Stim.
+
+Other
+-----
+
+`AerBackend <https://tket.quantinuum.com/extensions/pytket-qiskit/api.html#pytket.extensions.qiskit.AerBackend>`_
+- Backend for running simulations on the Qiskit Aer QASM simulator. This simulator is noiseless by default but can take a user defined ``NoiseModel``.
+
+`QulacsBackend <https://tket.quantinuum.com/extensions/pytket-qulacs/api.html#pytket.extensions.qulacs.QulacsBackend>`_
+- Backend for running simulations of variational quantum circuits on the Qulacs simulator.
+
+`QsharpSimulatorBackend <https://cqcl.github.io/pytket-qsharp/api/api.html#pytket.extensions.qsharp.QsharpSimulatorBackend>`_
+- Backend for simulating a circuit using the QDK.
+
+`QsharpToffoliSimulatorBackend <https://cqcl.github.io/pytket-qsharp/api/api.html#pytket.extensions.qsharp.QsharpToffoliSimulatorBackend>`_
+- Backend for simulating a Toffoli circuit using the QDK.
+
+
+.. toctree::
+   :caption: Extensions:
+   :maxdepth: 0
+
+   pytket-aqt <https://cqcl.github.io/pytket-aqt/api/index.html>
+   pytket-braket <https://tket.quantinuum.com/extensions/pytket-braket>
+   pytket-cirq <https://tket.quantinuum.com/extensions/pytket-cirq>
+   pytket-ionq <https://tket.quantinuum.com/extensions/pytket-quantinuum>
+   pytket-iqm <https://tket.quantinuum.com/extensions/pytket-iqm>
+   pytket-pennylane <https://tket.quantinuum.com/extensions/pytket-pennylane>
+   pytket-projectq <https://tket.quantinuum.com/extensions/pytket-projectq>
+   pytket-pyquil <https://tket.quantinuum.com/extensions/pytket-pyquil>
+   pytket-pysimplex <https://tket.quantinuum.com/extensions/pytket-pysimplex>
+   pytket-pyzx <https://tket.quantinuum.com/extensions/pytket-pyzx>
+   pytket-qir <https://tket.quantinuum.com/extensions/pytket-qir>
+   pytket-qiskit <https://tket.quantinuum.com/extensions/pytket-qir>
+   pytket-qsharp <https://cqcl.github.io/pytket-qsharp/api/index.html>
+   pytket-quantinuum <https://tket.quantinuum.com/extensions/pytket-quantinuum>
+   pytket-cutensornet <https://tket.quantinuum.com/extensions/pytket-cutensornet> 
+   pytket-qulacs <https://tket.quantinuum.com/extensions/pytket-qulacs>
+   pytket-qujax <https://cqcl.github.io/pytket-qujax/api/index.html>
+   pytket-stim <https://tket.quantinuum.com/extensions/pytket-stim>
+
+
+.. _pytket: https://tket.quantinuum.com/tket/pytket/api/
+.. _Quantinuum: https://quantinuum.com
+.. _IBMQEmulatorBackend:  https://tket.quantinuum.com/extensions/pytket-qiskit/api/api.html#pytket.extensions.qiskit.IBMQEmulatorBackend
+.. _AerStateBackend: https://tket.quantinuum.com/extensions/pytket-qiskit/api.html#pytket.extensions.qiskit.AerStateBackend
+.. _ForestStateBackend: https://tket.quantinuum.com/extensions/pytket-pyquil/api/api.html#pytket.extensions.pyquil.ForestStateBackend
+.. _AerUnitaryBackend: https://tket.quantinuum.com/extensions/pytket-qiskit/api/api.html#pytket.extensions.qiskit.AerUnitaryBackend
+.. _CirqDensityMatrixSampleBackend: https://tket.quantinuum.com/extensions/pytket-cirq/api/api.html#pytket.extensions.cirq.CirqDensityMatrixSampleBackend
+.. _SimplexBackend: https://tket.quantinuum.com/extensions/pytket-simplex/api.html#pytket.extensions.pysimplex.SimplexBackend
\ No newline at end of file
diff --git a/pytket/docs/index.rst b/pytket/docs/index.rst
index 2cdd6e701e..57f3761305 100644
--- a/pytket/docs/index.rst
+++ b/pytket/docs/index.rst
@@ -81,14 +81,13 @@ Licensed under the `Apache 2 License <http://www.apache.org/licenses/LICENSE-2.0
     getting_started.rst
     changelog.rst
     install.rst
-    faqs.rst 
+    faqs.rst
 
 .. toctree::
     :caption: More Documentation:
-    :maxdepth: 1
     
     Manual <https://cqcl.github.io/pytket/manual/index.html>
-    Extensions <https://cqcl.github.io/pytket-extensions/api/index.html>
+    extensions_index.rst  
     Example notebooks <https://tket.quantinuum.com/examples>
 
 .. toctree::

From ff68b3e07fb7bf48c001fae719e0a3087e5344ac Mon Sep 17 00:00:00 2001
From: Will Simmons <will.simmons@cambridgequantum.com>
Date: Tue, 7 Nov 2023 10:43:57 +0000
Subject: [PATCH 18/36] Unitary Synthesis of ChoiMixTableau for Diagonalisation
 (#941)

* Copy files over from refactor/pauligraph

* Make identity pauli gadget still have correct qubits

* Remove unused line

* Rewrite ChoiMixTableauConverter to make easier to follow

* Combine diagonalisation steps

* Remove separate methods for solving post, init, and collapse spaces

* Split method into sections again for readability

* Rewrite header description

* Bump tket version

* Remove unused function

* Add tests for coverage

* Fix failing coverage tests

* Make gadget synthesis only use CXs to comply with test analysis

* Synthesising gadget pairs with a consistent CXConfigType varies performance figures

* Apply suggestions from code review

Co-authored-by: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>

* Update tket/src/Converters/ChoiMixTableauConverters.cpp

Co-authored-by: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>

* Implement most reviewer feedback

* Bump tket version number

* Doxygen error and formatting

* Initial implementation attempt

* Solve a bunch of linker errors

* Test comparators

* Test multiplications

* Tested hashing

* Refactor Utils, OpType, Ops, Gate, Clifford

* Refactored source and tests; some tests fail

* Fix test errors

* Binders compile, failing json validation

* Attempt to make serialisation backwards compatible

* Fix remaining serialisation bugs

* Fixed it!

* Rename PauliStrings2 to PauliTensor

* Remove old PauliStrings

* Rename test_PauliString2

* Rename file references

* File references in CMakeLists

* Bump tket version number

* Run formatter

* Fix binder errors

* Compiler errors on other OSs on CI

* More merge conflicts from deleted files

* Fix stub changes

* Test coverage

* Fix comparison issue

* Remove commented out code

* Implement reviewer feedback

* Bump tket version numbers

* Docs formatting error on CI

* Retain fix from merge conflict

* Fix merge bugs

* Error in merge

* Bump tket version number

* Missing TKET_ASSERTs from reviewer suggestions

* Test Z,X,H methods on UnitaryTableau for coverage

* Mixed initialisation test didn't actually use them

* Remove unused function

---------

Co-authored-by: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
---
 pytket/conanfile.py                           |    2 +-
 pytket/tests/ansatz_sequence_test.py          |    6 +-
 tket/CMakeLists.txt                           |    2 -
 tket/conanfile.py                             |    2 +-
 tket/include/tket/Circuit/CircUtils.hpp       |   26 +-
 tket/include/tket/Circuit/PauliExpBoxes.hpp   |   42 +
 tket/include/tket/Clifford/ChoiMixTableau.hpp |   21 +-
 .../tket/Clifford/SymplecticTableau.hpp       |   41 +-
 tket/include/tket/Clifford/UnitaryTableau.hpp |   12 +
 tket/include/tket/Converters/Converters.hpp   |   83 +-
 tket/include/tket/Converters/PauliGadget.hpp  |   83 --
 .../tket/Diagonalisation/Diagonalisation.hpp  |   39 +-
 tket/src/Circuit/CircUtils.cpp                |  206 +--
 tket/src/Circuit/PauliExpBoxes.cpp            |   92 +-
 tket/src/Clifford/ChoiMixTableau.cpp          |  179 +--
 tket/src/Clifford/SymplecticTableau.cpp       |  247 ++--
 tket/src/Clifford/UnitaryTableau.cpp          |  212 ++-
 .../Converters/ChoiMixTableauConverters.cpp   | 1211 +++++++++--------
 tket/src/Converters/PauliGadget.cpp           |  381 ------
 tket/src/Converters/PauliGraphConverters.cpp  |    1 -
 .../Converters/UnitaryTableauConverters.cpp   |   44 +-
 tket/src/Diagonalisation/Diagonalisation.cpp  |  406 ++++++
 .../src/Transformations/PauliOptimisation.cpp |    8 +-
 tket/test/CMakeLists.txt                      |    1 +
 tket/test/src/test_ChoiMixTableau.cpp         |  389 +++++-
 tket/test/src/test_Diagonalisation.cpp        |  124 ++
 tket/test/src/test_PauliGraph.cpp             |   20 +-
 tket/test/src/test_PhaseGadget.cpp            |    5 +-
 tket/test/src/test_UnitaryTableau.cpp         |  134 ++
 29 files changed, 2464 insertions(+), 1555 deletions(-)
 delete mode 100644 tket/include/tket/Converters/PauliGadget.hpp
 delete mode 100644 tket/src/Converters/PauliGadget.cpp
 create mode 100644 tket/test/src/test_Diagonalisation.cpp

diff --git a/pytket/conanfile.py b/pytket/conanfile.py
index 139dba5197..9b3546cf1f 100644
--- a/pytket/conanfile.py
+++ b/pytket/conanfile.py
@@ -32,7 +32,7 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tket/1.2.64@tket/stable")
+        self.requires("tket/1.2.65@tket/stable")
         self.requires("tklog/0.3.3@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("tkassert/0.3.3@tket/stable")
diff --git a/pytket/tests/ansatz_sequence_test.py b/pytket/tests/ansatz_sequence_test.py
index 7dd1825954..4406ace0e8 100644
--- a/pytket/tests/ansatz_sequence_test.py
+++ b/pytket/tests/ansatz_sequence_test.py
@@ -88,9 +88,9 @@ def test_nontrivial_sequence() -> None:
             GraphColourMethod.Exhaustive: (3, 28, 20, 19),
         },
         PauliPartitionStrat.NonConflictingSets: {
-            GraphColourMethod.LargestFirst: (6, 28, 28, 28),
-            GraphColourMethod.Lazy: (6, 28, 28, 26),
-            GraphColourMethod.Exhaustive: (6, 28, 28, 26),
+            GraphColourMethod.LargestFirst: (6, 28, 28, 26),
+            GraphColourMethod.Lazy: (6, 28, 28, 28),
+            GraphColourMethod.Exhaustive: (6, 28, 28, 28),
         },
     }
 
diff --git a/tket/CMakeLists.txt b/tket/CMakeLists.txt
index aaa4497799..958ea72490 100644
--- a/tket/CMakeLists.txt
+++ b/tket/CMakeLists.txt
@@ -222,7 +222,6 @@ target_sources(tket
         src/ZX/MBQCRewrites.cpp
         src/ZX/ZXRWSequences.cpp
         src/Converters/ChoiMixTableauConverters.cpp
-        src/Converters/PauliGadget.cpp
         src/Converters/PauliGraphConverters.cpp
         src/Converters/Gauss.cpp
         src/Converters/PhasePoly.cpp
@@ -373,7 +372,6 @@ target_sources(tket
         include/tket/ZX/ZXGenerator.hpp
         include/tket/Converters/Converters.hpp
         include/tket/Converters/Gauss.hpp
-        include/tket/Converters/PauliGadget.hpp
         include/tket/Converters/PhasePoly.hpp
         include/tket/Converters/UnitaryTableauBox.hpp
         include/tket/Placement/NeighbourPlacements.hpp
diff --git a/tket/conanfile.py b/tket/conanfile.py
index 370cb07e28..55ed429a6f 100644
--- a/tket/conanfile.py
+++ b/tket/conanfile.py
@@ -23,7 +23,7 @@
 
 class TketConan(ConanFile):
     name = "tket"
-    version = "1.2.64"
+    version = "1.2.65"
     package_type = "library"
     license = "Apache 2"
     homepage = "https://github.com/CQCL/tket"
diff --git a/tket/include/tket/Circuit/CircUtils.hpp b/tket/include/tket/Circuit/CircUtils.hpp
index c9706161ac..4acf5e30d4 100644
--- a/tket/include/tket/Circuit/CircUtils.hpp
+++ b/tket/include/tket/Circuit/CircUtils.hpp
@@ -111,13 +111,13 @@ std::pair<Circuit, Complex> decompose_2cx_DV(const Eigen::Matrix4cd& U);
  * Construct a phase gadget
  *
  * @param n_qubits number of qubits
- * @param t phase parameter
+ * @param angle phase parameter
  * @param cx_config CX configuration
  *
  * @return phase gadget implementation wrapped in a ConjugationBox
  */
 Circuit phase_gadget(
-    unsigned n_qubits, const Expr& t,
+    unsigned n_qubits, const Expr& angle,
     CXConfigType cx_config = CXConfigType::Snake);
 
 /**
@@ -127,13 +127,29 @@ Circuit phase_gadget(
  * \f$ e^{-\frac12 i \pi t \sigma_0 \otimes \sigma_1 \otimes \cdots} \f$
  * where \f$ \sigma_i \in \{I,X,Y,Z\} \f$ are the Pauli operators.
  *
- * @param paulis Pauli operators
- * @param t angle in half-turns
+ * @param paulis Pauli operators; coefficient gives rotation angle in half-turns
  * @param cx_config CX configuration
  * @return Pauli gadget implementation wrapped in a ConjugationBox
  */
 Circuit pauli_gadget(
-    const std::vector<Pauli>& paulis, const Expr& t,
+    SpSymPauliTensor paulis, CXConfigType cx_config = CXConfigType::Snake);
+
+/**
+ * Construct a circuit realising a pair of Pauli gadgets with the fewest
+ * two-qubit gates.
+ *
+ * The returned circuit implements the unitary e^{-i pi angle1 paulis1 / 2}
+ * e^{-i pi angle0 paulis0 / 2}, i.e. a gadget of angle0 about paulis0 followed
+ * by a gadget of angle1 about paulis1.
+ *
+ * @param paulis0 Pauli operators for first gadget; coefficient gives rotation
+ * angle in half-turns
+ * @param paulis1 Pauli operators for second gadget; coefficient gives rotation
+ * angle in half-turns
+ * @param cx_config CX configuration
+ */
+Circuit pauli_gadget_pair(
+    SpSymPauliTensor paulis0, SpSymPauliTensor paulis1,
     CXConfigType cx_config = CXConfigType::Snake);
 
 /**
diff --git a/tket/include/tket/Circuit/PauliExpBoxes.hpp b/tket/include/tket/Circuit/PauliExpBoxes.hpp
index 78dc171ea3..2e0180c5b9 100644
--- a/tket/include/tket/Circuit/PauliExpBoxes.hpp
+++ b/tket/include/tket/Circuit/PauliExpBoxes.hpp
@@ -202,4 +202,46 @@ class PauliExpCommutingSetBox : public Box {
   CXConfigType cx_config_;
 };
 
+/**
+ * Constructs a PauliExpBox for a single pauli gadget and appends it to a
+ * circuit.
+ *
+ * @param circ The circuit to append the box to
+ * @param pauli The pauli operator of the gadget; coefficient gives the rotation
+ * angle in half-turns
+ * @param cx_config The CX configuration to be used during synthesis
+ */
+void append_single_pauli_gadget_as_pauli_exp_box(
+    Circuit &circ, const SpSymPauliTensor &pauli, CXConfigType cx_config);
+
+/**
+ * Constructs a PauliExpPairBox for a pair of pauli gadgets and appends it to a
+ * circuit. The pauli gadgets may or may not commute, so the ordering matters.
+ *
+ * @param circ The circuit to append the box to
+ * @param pauli0 The pauli operator of the first gadget; coefficient gives the
+ * rotation angle in half-turns
+ * @param pauli1 The pauli operator of the second gadget; coefficient gives the
+ * rotation angle in half-turns
+ * @param cx_config The CX configuration to be used during synthesis
+ */
+void append_pauli_gadget_pair_as_box(
+    Circuit &circ, const SpSymPauliTensor &pauli0,
+    const SpSymPauliTensor &pauli1, CXConfigType cx_config);
+
+/**
+ * Constructs a PauliExpCommutingSetBox for a set of mutually commuting pauli
+ * gadgets and appends it to a circuit. As the pauli gadgets all commute, the
+ * ordering does not matter semantically, but may yield different synthesised
+ * circuits.
+ *
+ * @param circ The circuit to append the box to
+ * @param gadgets Description of the pauli gadgets; coefficients give the
+ * rotation angles in half-turns
+ * @param cx_config The CX configuration to be used during synthesis
+ */
+void append_commuting_pauli_gadget_set_as_box(
+    Circuit &circ, const std::list<SpSymPauliTensor> &gadgets,
+    CXConfigType cx_config);
+
 }  // namespace tket
diff --git a/tket/include/tket/Clifford/ChoiMixTableau.hpp b/tket/include/tket/Clifford/ChoiMixTableau.hpp
index 1a3a8dae91..96c1483dca 100644
--- a/tket/include/tket/Clifford/ChoiMixTableau.hpp
+++ b/tket/include/tket/Clifford/ChoiMixTableau.hpp
@@ -45,7 +45,8 @@ class ChoiMixTableau {
    * When mapped to a sparse readable representation, independent
    * SpPauliStabiliser objects are used for each segment, so we no longer expect
    * their individual phases to be +-1, instead only requiring this on their
-   * product.
+   * product. get_row() will automatically transpose the input segment term so
+   * it is presented as RxS s.t. SCR = C.
    *
    * Columns of the tableau are indexed by pair of Qubit id and a tag to
    * distinguish input vs output. Rows are not maintained in any particular
@@ -93,6 +94,7 @@ class ChoiMixTableau {
    * Construct a tableau directly from its rows.
    * Each row is represented as a product of SpPauliStabilisers where the first
    * is over the input qubits and the second is over the outputs.
+   * A row RxS is a pair s.t. SCR = C
    */
   explicit ChoiMixTableau(const std::list<row_tensor_t>& rows);
   /**
@@ -122,13 +124,23 @@ class ChoiMixTableau {
    * Get the number of boundaries representing outputs from the process.
    */
   unsigned get_n_outputs() const;
+  /**
+   * Get all qubit names present in the input segment.
+   */
+  qubit_vector_t input_qubits() const;
+  /**
+   * Get all qubit names present in the output segment.
+   */
+  qubit_vector_t output_qubits() const;
 
   /**
-   * Read off a row as a Pauli string
+   * Read off a row as a Pauli string.
+   * Returns a pair of Pauli strings RxS such that SCR = C
    */
   row_tensor_t get_row(unsigned i) const;
   /**
-   * Combine rows into a single row
+   * Combine rows into a single row.
+   * Returns a pair of Pauli strings RxS such that SCR = C
    */
   row_tensor_t get_row_product(const std::vector<unsigned>& rows) const;
 
@@ -142,7 +154,10 @@ class ChoiMixTableau {
    * outputs.
    */
   void apply_S(const Qubit& qb, TableauSegment seg = TableauSegment::Output);
+  void apply_Z(const Qubit& qb, TableauSegment seg = TableauSegment::Output);
   void apply_V(const Qubit& qb, TableauSegment seg = TableauSegment::Output);
+  void apply_X(const Qubit& qb, TableauSegment seg = TableauSegment::Output);
+  void apply_H(const Qubit& qb, TableauSegment seg = TableauSegment::Output);
   void apply_CX(
       const Qubit& control, const Qubit& target,
       TableauSegment seg = TableauSegment::Output);
diff --git a/tket/include/tket/Clifford/SymplecticTableau.hpp b/tket/include/tket/Clifford/SymplecticTableau.hpp
index 86c7c63532..c6bd327fd9 100644
--- a/tket/include/tket/Clifford/SymplecticTableau.hpp
+++ b/tket/include/tket/Clifford/SymplecticTableau.hpp
@@ -20,12 +20,6 @@
 
 namespace tket {
 
-// Forward declare friend classes for converters
-class ChoiMixTableau;
-class UnitaryTableau;
-class UnitaryRevTableau;
-class Circuit;
-
 /**
  * Boolean encoding of Pauli
  * <x, z> = <false, false> ==> I
@@ -136,10 +130,13 @@ class SymplecticTableau {
   void row_mult(unsigned ra, unsigned rw, Complex coeff = 1.);
 
   /**
-   * Applies an S/V/CX gate to the given qubit(s)
+   * Applies a chosen gate to the given qubit(s)
    */
   void apply_S(unsigned qb);
+  void apply_Z(unsigned qb);
   void apply_V(unsigned qb);
+  void apply_X(unsigned qb);
+  void apply_H(unsigned qb);
   void apply_CX(unsigned qc, unsigned qt);
   void apply_gate(OpType type, const std::vector<unsigned> &qbs);
 
@@ -173,29 +170,19 @@ class SymplecticTableau {
    */
   void gaussian_form();
 
- private:
-  /**
-   * Number of rows
-   */
-  unsigned n_rows_;
-
-  /**
-   * Number of qubits in each row
-   */
-  unsigned n_qubits_;
-
   /**
    * Tableau contents
    */
-  MatrixXb xmat_;
-  MatrixXb zmat_;
-  VectorXb phase_;
+  MatrixXb xmat;
+  MatrixXb zmat;
+  VectorXb phase;
 
   /**
    * Complex conjugate of the state by conjugating rows
    */
   SymplecticTableau conjugate() const;
 
+ private:
   /**
    * Helper methods for manipulating the tableau when applying gates
    */
@@ -206,18 +193,6 @@ class SymplecticTableau {
   void col_mult(
       const MatrixXb::ColXpr &a, const MatrixXb::ColXpr &b, bool flip,
       MatrixXb::ColXpr &w, VectorXb &pw);
-
-  friend class UnitaryTableau;
-  friend class ChoiMixTableau;
-  friend Circuit unitary_tableau_to_circuit(const UnitaryTableau &tab);
-  friend std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(
-      const ChoiMixTableau &tab);
-  friend std::ostream &operator<<(std::ostream &os, const UnitaryTableau &tab);
-  friend std::ostream &operator<<(
-      std::ostream &os, const UnitaryRevTableau &tab);
-
-  friend void to_json(nlohmann::json &j, const SymplecticTableau &tab);
-  friend void from_json(const nlohmann::json &j, SymplecticTableau &tab);
 };
 
 JSON_DECL(SymplecticTableau)
diff --git a/tket/include/tket/Clifford/UnitaryTableau.hpp b/tket/include/tket/Clifford/UnitaryTableau.hpp
index 45388acda0..25b3b3dd80 100644
--- a/tket/include/tket/Clifford/UnitaryTableau.hpp
+++ b/tket/include/tket/Clifford/UnitaryTableau.hpp
@@ -101,8 +101,14 @@ class UnitaryTableau {
    */
   void apply_S_at_front(const Qubit& qb);
   void apply_S_at_end(const Qubit& qb);
+  void apply_Z_at_front(const Qubit& qb);
+  void apply_Z_at_end(const Qubit& qb);
   void apply_V_at_front(const Qubit& qb);
   void apply_V_at_end(const Qubit& qb);
+  void apply_X_at_front(const Qubit& qb);
+  void apply_X_at_end(const Qubit& qb);
+  void apply_H_at_front(const Qubit& qb);
+  void apply_H_at_end(const Qubit& qb);
   void apply_CX_at_front(const Qubit& control, const Qubit& target);
   void apply_CX_at_end(const Qubit& control, const Qubit& target);
   void apply_gate_at_front(OpType type, const qubit_vector_t& qbs);
@@ -236,8 +242,14 @@ class UnitaryRevTableau {
    */
   void apply_S_at_front(const Qubit& qb);
   void apply_S_at_end(const Qubit& qb);
+  void apply_Z_at_front(const Qubit& qb);
+  void apply_Z_at_end(const Qubit& qb);
   void apply_V_at_front(const Qubit& qb);
   void apply_V_at_end(const Qubit& qb);
+  void apply_X_at_front(const Qubit& qb);
+  void apply_X_at_end(const Qubit& qb);
+  void apply_H_at_front(const Qubit& qb);
+  void apply_H_at_end(const Qubit& qb);
   void apply_CX_at_front(const Qubit& control, const Qubit& target);
   void apply_CX_at_end(const Qubit& control, const Qubit& target);
   void apply_gate_at_front(OpType type, const qubit_vector_t& qbs);
diff --git a/tket/include/tket/Converters/Converters.hpp b/tket/include/tket/Converters/Converters.hpp
index fc0775c2e4..f629de88ba 100644
--- a/tket/include/tket/Converters/Converters.hpp
+++ b/tket/include/tket/Converters/Converters.hpp
@@ -47,13 +47,88 @@ ChoiMixTableau circuit_to_cm_tableau(const Circuit &circ);
 
 /**
  * Constructs a circuit producing the same effect as a ChoiMixTableau.
- * Uses a naive synthesis method until we develop a good heuristic.
  * Since Circuit does not support distinct qubit addresses for inputs and
  * outputs, also returns a map from the output qubit IDs in the tableau to their
- * corresponding outputs in the circuit
+ * corresponding outputs in the circuit.
+ *
+ * The circuit produced will be the (possibly non-unitary) channel whose
+ * stabilisers are exactly those of the tableau and no more, using
+ * initialisations, post-selections, discards, resets, and collapses to ensure
+ * this. It will automatically reuse qubits so no more qubits will be needed
+ * than max(tab.get_n_inputs(), tab.get_n_outputs()).
+ *
+ * Example 1:
+ * ZXI -> ()
+ * YYZ -> ()
+ * This becomes a diagonalisation circuit followed by post-selections.
+ *
+ * Example 2:
+ * Z -> ZZ
+ * X -> IY
+ * Z -> -XX
+ * Combining the first and last rows reveals an initialisation is required for I
+ * -> YY. Since there are two output qubits, at least one of them does not
+ * already exist in the input fragment so we can freely add an extra qubit on
+ * the input side, initialise it and apply a unitary mapping IZ -> YY.
+ *
+ * Example 3:
+ * ZX -> IZ
+ * II -> ZI
+ * We require an initialised qubit for the final row, but both input and output
+ * spaces only have q[0] and q[1], of which both inputs need to be open for the
+ * first row. We can obtain an initialised qubit by resetting a qubit after
+ * reducing the first row to only a single qubit.
  */
-std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(
-    const ChoiMixTableau &circ);
+std::pair<Circuit, qubit_map_t> cm_tableau_to_exact_circuit(
+    const ChoiMixTableau &tab, CXConfigType cx_config = CXConfigType::Snake);
+
+/**
+ * We define a unitary extension of a ChoiMixTableau to be a unitary circuit
+ * whose stabilizer group contain all the rows of the ChoiMixTableau and
+ * possibly more. This is useful when we are treating the ChoiMixTableau as a
+ * means to encode a diagonalisation problem, since we are generally looking for
+ * a unitary as we may wish to apply the inverse afterwards (e.g. conjugating
+ * some rotations to implement a set of Pauli gadgets).
+ *
+ * Not every ChoiMixTableau can be extended to a unitary by just adding rows,
+ * e.g. if it requires any initialisation or post-selections. In this case, the
+ * unitary circuit is extended with additional input qubits which are assumed to
+ * be zero-initialised, and additional output qubits which are assumed to be
+ * post-selected. The synthesis guarantees that, if we take the unitary,
+ * initialise all designated inputs, and post-select on all designated outputs,
+ * every row from the original tableau is a stabiliser for the remaining
+ * projector. When not enough additional qubit names are provided, an error is
+ * thrown.
+ *
+ *
+ * Example 1:
+ * ZXI -> ()
+ * YYZ -> ()
+ * Since, in exact synthesis, at least two post-selections would be required, we
+ * pick two names from post_names. This is then a diagonalisation circuit which
+ * maps each row to an arbitrary diagonal string over post_names.
+ *
+ * Example 2:
+ * Z -> ZZ
+ * X -> IY
+ * Z -> -XX
+ * Combining the first and last rows reveals an initialisation is required for I
+ * -> YY. We extend the inputs with a qubit from init_names. The initialisation
+ * can manifest as either altering the first row to ZZ -> ZZ or the last row to
+ * ZZ -> -XX.
+ *
+ * Example 3:
+ * ZX -> IZ
+ * II -> ZI
+ * We require an initialised qubit for the final row, but both input and output
+ * spaces only have q[0] and q[1], of which both inputs need to be open for the
+ * first row. Unlike exact synthesis, we cannot reuse qubits, so the returned
+ * circuit will be over 3 qubits, extending with a name from init_names.
+ */
+std::pair<Circuit, qubit_map_t> cm_tableau_to_unitary_extension_circuit(
+    const ChoiMixTableau &tab, const std::vector<Qubit> &init_names = {},
+    const std::vector<Qubit> &post_names = {},
+    CXConfigType cx_config = CXConfigType::Snake);
 
 PauliGraph circuit_to_pauli_graph(const Circuit &circ);
 
diff --git a/tket/include/tket/Converters/PauliGadget.hpp b/tket/include/tket/Converters/PauliGadget.hpp
deleted file mode 100644
index 6413ee34c5..0000000000
--- a/tket/include/tket/Converters/PauliGadget.hpp
+++ /dev/null
@@ -1,83 +0,0 @@
-// Copyright 2019-2023 Cambridge Quantum Computing
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-//     http://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-#pragma once
-
-#include <stdexcept>
-
-#include "tket/Circuit/Circuit.hpp"
-#include "tket/Utils/PauliTensor.hpp"
-
-namespace tket {
-
-class ImplicitPermutationNotAllowed : public std::logic_error {
- public:
-  explicit ImplicitPermutationNotAllowed(const std::string& message)
-      : std::logic_error(message) {}
-};
-
-/**
- * Append a Pauli gadget to the end of a given circuit.
- * Automatically uses Snake CX configuration
- *
- * @param circ circuit to append to
- * @param pauli Pauli operators and their respective qubits; coefficient gives
- * rotation angle in half-turns
- * @param cx_config which type of CX configuration to decompose into
- */
-void append_single_pauli_gadget(
-    Circuit& circ, const SpSymPauliTensor& pauli,
-    CXConfigType cx_config = CXConfigType::Snake);
-
-/**
- * Append a Pauli gadget to the end of a given circuit as a
- * PauliExpBox.
- * Automatically uses Snake CX configuration
- *
- * @param circ circuit to append to
- * @param pauli Pauli operators and their respective qubits; coefficient gives
- * rotation angle in half-turns
- * @param cx_config which type of CX configuration to decompose into
- */
-void append_single_pauli_gadget_as_pauli_exp_box(
-    Circuit& circ, const SpSymPauliTensor& pauli, CXConfigType cx_config);
-
-/**
- * Append a pair of Pauli gadgets to the end of a given circuit.
- * (shallow) Uses an adapted arrangement of CX that gives balanced trees
- * over the matching qubits to improve depth. Better performance
- * is not guaranteed as CXs may not align for cancellation and
- * it can be harder to route.
- * (!shallow) Uses the original method with naive arrangement of CXs.
- *
- * @param circ circuit to append to
- * @param pauli0 first Pauli string; coefficient gives rotation angle in
- * half-turns
- * @param pauli1 second Pauli string; coefficient gives rotation angle in
- * half-turns
- * @param cx_config which type of CX configuration to decompose into
- */
-void append_pauli_gadget_pair(
-    Circuit& circ, SpSymPauliTensor pauli0, SpSymPauliTensor pauli1,
-    CXConfigType cx_config = CXConfigType::Snake);
-
-void append_pauli_gadget_pair_as_box(
-    Circuit& circ, const SpSymPauliTensor& pauli0,
-    const SpSymPauliTensor& pauli1, CXConfigType cx_config);
-
-void append_commuting_pauli_gadget_set_as_box(
-    Circuit& circ, const std::list<SpSymPauliTensor>& gadgets,
-    CXConfigType cx_config);
-
-}  // namespace tket
diff --git a/tket/include/tket/Diagonalisation/Diagonalisation.hpp b/tket/include/tket/Diagonalisation/Diagonalisation.hpp
index aa66d8f370..ce3a75198c 100644
--- a/tket/include/tket/Diagonalisation/Diagonalisation.hpp
+++ b/tket/include/tket/Diagonalisation/Diagonalisation.hpp
@@ -60,13 +60,38 @@ void apply_conjugations(
     SpSymPauliTensor &qps, const Conjugations &conjugations);
 
 /**
- *  Given two qubits on which to conjugate a CX gate, try to conjugate with a
- * XXPhase3 instead. If successful, undoes conjugations that must be undone and
- * replaces it with XXPhase3 conjugation. Returns true if successful and false
- * otherwise.
+ * Given a Pauli tensor P, produces a short Clifford circuit C which maps P to Z
+ * on a single qubit, i.e. Z_i C P = C. This can be viewed as the components
+ * required to synthesise a single Pauli gadget C^dag RZ(a)_i C = exp(-i pi a
+ * P/2) (up to global phase), or as a diagonalisation of a single Pauli string
+ * along with CXs to reduce it to a single qubit. Returns the circuit C and the
+ * qubit i where the Z ends up.
  */
-bool conjugate_with_xxphase3(
-    const Qubit &qb_a, const Qubit &qb_b, Conjugations &conjugations,
-    Circuit &cliff_circ);
+std::pair<Circuit, Qubit> reduce_pauli_to_z(
+    const SpPauliStabiliser &pauli, CXConfigType cx_config);
+
+/**
+ * Given a pair of anticommuting Pauli tensors P0, P1, produces a short Clifford
+ * circuit C which maps P0 to Z and P1 to X on the same qubit, i.e. Z_i C P0 = C
+ * = X_i C P1. This can be viewed as the components required to synthesise a
+ * pair of noncommuting Pauli gadgets C^dag RX(b)_i RZ(a)_i C = exp(-i pi b
+ * P1/2) exp(-i pi a P0/2) (up to global phase). This is not strictly a
+ * diagonalisation because anticommuting strings cannot be simultaneously
+ * diagonalised. Returns the circuit C and the qubit i where the Z and X end up.
+ */
+std::pair<Circuit, Qubit> reduce_anticommuting_paulis_to_z_x(
+    SpPauliStabiliser pauli0, SpPauliStabiliser pauli1, CXConfigType cx_config);
+
+/**
+ * Given a pair of commuting Pauli tensors P0, P1, produces a short Clifford
+ * circuit C which maps P0 and P1 to Z on different qubits, i.e. Z_i C P0 = C =
+ * Z_j C P1. This can be viewed as the components required to synthesise a pair
+ * of commuting Pauli gadgets C^dag RZ(b)_j RZ(a)_i C = exp(-i pi b P1/2) exp(-i
+ * pi a P0/2) (up to global phase), or as a mutual diagonalisation of two Pauli
+ * strings along with CXs to reduce them to independent, individual qubits.
+ * Returns the circuit C and the qubits i and j where the Zs end up.
+ */
+std::tuple<Circuit, Qubit, Qubit> reduce_commuting_paulis_to_zi_iz(
+    SpPauliStabiliser pauli0, SpPauliStabiliser pauli1, CXConfigType cx_config);
 
 }  // namespace tket
diff --git a/tket/src/Circuit/CircUtils.cpp b/tket/src/Circuit/CircUtils.cpp
index 07f9bb9dec..17b0deb998 100644
--- a/tket/src/Circuit/CircUtils.cpp
+++ b/tket/src/Circuit/CircUtils.cpp
@@ -22,6 +22,7 @@
 #include "tket/Circuit/CircPool.hpp"
 #include "tket/Circuit/Circuit.hpp"
 #include "tket/Circuit/ConjugationBox.hpp"
+#include "tket/Diagonalisation/Diagonalisation.hpp"
 #include "tket/Gate/GatePtr.hpp"
 #include "tket/Gate/GateUnitaryMatrixImplementations.hpp"
 #include "tket/Gate/Rotation.hpp"
@@ -268,152 +269,79 @@ std::pair<Circuit, Complex> decompose_2cx_DV(const Eigen::Matrix4cd &U) {
 }
 
 Circuit phase_gadget(unsigned n_qubits, const Expr &t, CXConfigType cx_config) {
-  // Handle n_qubits==0 as a special case, or the calculations below
-  // go badly wrong.
-  Circuit new_circ(n_qubits);
-  Circuit compute(n_qubits);
-  Circuit action(n_qubits);
-  Circuit uncompute(n_qubits);
-  if (n_qubits == 0) {
-    new_circ.add_phase(-t / 2);
-    return new_circ;
-  }
-  switch (cx_config) {
-    case CXConfigType::Snake: {
-      for (unsigned i = n_qubits - 1; i != 0; --i) {
-        unsigned j = i - 1;
-        compute.add_op<unsigned>(OpType::CX, {i, j});
-      }
-      action.add_op<unsigned>(OpType::Rz, t, {0});
-      for (unsigned i = 0; i != n_qubits - 1; ++i) {
-        unsigned j = i + 1;
-        uncompute.add_op<unsigned>(OpType::CX, {j, i});
-      }
-      break;
-    }
-    case CXConfigType::Star: {
-      for (unsigned i = n_qubits - 1; i != 0; --i) {
-        compute.add_op<unsigned>(OpType::CX, {i, 0});
-      }
-      action.add_op<unsigned>(OpType::Rz, t, {0});
-      for (unsigned i = 1; i != n_qubits; ++i) {
-        uncompute.add_op<unsigned>(OpType::CX, {i, 0});
-      }
-      break;
-    }
-    case CXConfigType::Tree: {
-      unsigned complete_layers = floor(log2(n_qubits));
-      unsigned dense_end = pow(2, complete_layers);
-      for (unsigned i = 0; i < n_qubits - dense_end; i++)
-        compute.add_op<unsigned>(
-            OpType::CX, {dense_end + i, dense_end - 1 - i});
-      for (unsigned step_size = 1; step_size < dense_end; step_size *= 2) {
-        for (unsigned i = 0; i < dense_end; i += 2 * step_size)
-          compute.add_op<unsigned>(OpType::CX, {i + step_size, i});
-      }
-      action.add_op<unsigned>(OpType::Rz, t, {0});
-      for (unsigned step_size = dense_end / 2; step_size >= 1; step_size /= 2) {
-        for (unsigned i = 0; i < dense_end; i += 2 * step_size)
-          uncompute.add_op<unsigned>(OpType::CX, {i + step_size, i});
-      }
-      for (unsigned i = 0; i < n_qubits - dense_end; i++)
-        uncompute.add_op<unsigned>(
-            OpType::CX, {dense_end + i, dense_end - 1 - i});
-      break;
-    }
-    case CXConfigType::MultiQGate: {
-      std::vector<std::vector<unsigned>> conjugations;
-      int sign_correction = 1;
-      for (int q = n_qubits - 1; q > 0; q -= 2) {
-        if (q - 1 > 0) {
-          unsigned i = q, j = q - 1;
-          // this is only equal to the CX decompositions above
-          // up to phase, but phase differences are cancelled out by
-          // its dagger XXPhase(-1/2) below.
-          compute.add_op<unsigned>(OpType::H, {i});
-          compute.add_op<unsigned>(OpType::H, {j});
-          compute.add_op<unsigned>(OpType::XXPhase3, 0.5, {i, j, 0});
-          sign_correction *= -1;
-          conjugations.push_back({i, j, 0});
-        } else {
-          unsigned i = q;
-          compute.add_op<unsigned>(OpType::CX, {i, 0});
-          conjugations.push_back({i, 0});
-        }
-      }
-      action.add_op<unsigned>(OpType::Rz, sign_correction * t, {0});
-      for (const auto &conj : conjugations) {
-        if (conj.size() == 2) {
-          uncompute.add_op<unsigned>(OpType::CX, conj);
-        } else {
-          TKET_ASSERT(conj.size() == 3);
-          uncompute.add_op<unsigned>(OpType::XXPhase3, -0.5, conj);
-          uncompute.add_op<unsigned>(OpType::H, {conj[0]});
-          uncompute.add_op<unsigned>(OpType::H, {conj[1]});
-        }
-      }
-      break;
-    }
+  return pauli_gadget(
+      SpSymPauliTensor(DensePauliMap(n_qubits, Pauli::Z), t), cx_config);
+}
+
+Circuit pauli_gadget(SpSymPauliTensor paulis, CXConfigType cx_config) {
+  if (SpPauliString(paulis.string) == SpPauliString{}) {
+    Circuit phase_circ(paulis.size());
+    phase_circ.add_phase(-paulis.coeff / 2);
+    return phase_circ;
   }
+  std::pair<Circuit, Qubit> diag =
+      reduce_pauli_to_z(SpPauliStabiliser(paulis.string), cx_config);
+  Circuit compute = diag.first;
+  qubit_vector_t all_qubits = compute.all_qubits();
+  unit_map_t mapping = compute.flatten_registers();
+  Circuit action(all_qubits.size());
+  action.add_op<UnitID>(OpType::Rz, paulis.coeff, {mapping.at(diag.second)});
+  Circuit circ(all_qubits, {});
   ConjugationBox box(
-      std::make_shared<CircBox>(compute), std::make_shared<CircBox>(action),
-      std::make_shared<CircBox>(uncompute));
-  new_circ.add_box(box, new_circ.all_qubits());
-  return new_circ;
+      std::make_shared<CircBox>(compute), std::make_shared<CircBox>(action));
+  circ.add_box(box, all_qubits);
+  return circ;
 }
 
-Circuit pauli_gadget(
-    const std::vector<Pauli> &paulis, const Expr &t, CXConfigType cx_config) {
-  unsigned n = paulis.size();
-  Circuit circ(n);
-  Circuit compute(n);
-  Circuit action(n);
-  Circuit uncompute(n);
-  std::vector<unsigned> qubits;
-  for (unsigned i = 0; i < n; i++) {
-    switch (paulis[i]) {
-      case Pauli::I:
-        break;
-      case Pauli::X:
-        compute.add_op<unsigned>(OpType::H, {i});
-        qubits.push_back(i);
-        break;
-      case Pauli::Y:
-        compute.add_op<unsigned>(OpType::V, {i});
-        qubits.push_back(i);
-        break;
-      case Pauli::Z:
-        qubits.push_back(i);
-        break;
-    }
+Circuit pauli_gadget_pair(
+    SpSymPauliTensor paulis0, SpSymPauliTensor paulis1,
+    CXConfigType cx_config) {
+  if (SpPauliString(paulis0.string) == SpPauliString{}) {
+    Circuit p1_circ = pauli_gadget(paulis1, cx_config);
+    p1_circ.add_phase(-paulis0.coeff / 2);
+    return p1_circ;
+  } else if (SpPauliString(paulis1.string) == SpPauliString{}) {
+    Circuit p0_circ = pauli_gadget(paulis0, cx_config);
+    p0_circ.add_phase(-paulis1.coeff / 2);
+    return p0_circ;
   }
-  if (qubits.empty()) {
-    circ.add_phase(-t / 2);
+  if (paulis0.commutes_with(paulis1)) {
+    std::tuple<Circuit, Qubit, Qubit> diag = reduce_commuting_paulis_to_zi_iz(
+        SpPauliStabiliser(paulis0.string), SpPauliStabiliser(paulis1.string),
+        cx_config);
+    Circuit &diag_circ = std::get<0>(diag);
+    qubit_vector_t all_qubits = diag_circ.all_qubits();
+    unit_map_t mapping = diag_circ.flatten_registers();
+    Circuit rot_circ(all_qubits.size());
+    rot_circ.add_op<UnitID>(
+        OpType::Rz, paulis0.coeff, {mapping.at(std::get<1>(diag))});
+    rot_circ.add_op<UnitID>(
+        OpType::Rz, paulis1.coeff, {mapping.at(std::get<2>(diag))});
+    ConjugationBox box(
+        std::make_shared<CircBox>(diag_circ),
+        std::make_shared<CircBox>(rot_circ));
+    Circuit circ(all_qubits, {});
+    circ.add_box(box, all_qubits);
+    return circ;
+  } else {
+    std::pair<Circuit, Qubit> diag = reduce_anticommuting_paulis_to_z_x(
+        SpPauliStabiliser(paulis0.string), SpPauliStabiliser(paulis1.string),
+        cx_config);
+    Circuit &diag_circ = diag.first;
+    qubit_vector_t all_qubits = diag_circ.all_qubits();
+    unit_map_t mapping = diag_circ.flatten_registers();
+    Circuit rot_circ(all_qubits.size());
+    rot_circ.add_op<UnitID>(
+        OpType::Rz, paulis0.coeff, {mapping.at(diag.second)});
+    rot_circ.add_op<UnitID>(
+        OpType::Rx, paulis1.coeff, {mapping.at(diag.second)});
+    ConjugationBox box(
+        std::make_shared<CircBox>(diag_circ),
+        std::make_shared<CircBox>(rot_circ));
+    Circuit circ(all_qubits, {});
+    circ.add_box(box, all_qubits);
     return circ;
   }
-  Vertex v = action.add_op<unsigned>(OpType::PhaseGadget, t, qubits);
-  Circuit cx_gadget = phase_gadget(action.n_in_edges(v), t, cx_config);
-  Subcircuit sub = {action.get_in_edges(v), action.get_all_out_edges(v), {v}};
-  action.substitute(cx_gadget, sub, Circuit::VertexDeletion::Yes);
-  for (unsigned i = 0; i < n; i++) {
-    switch (paulis[i]) {
-      case Pauli::I:
-        break;
-      case Pauli::X:
-        uncompute.add_op<unsigned>(OpType::H, {i});
-        break;
-      case Pauli::Y:
-        uncompute.add_op<unsigned>(OpType::Vdg, {i});
-        break;
-      case Pauli::Z:
-        break;
-    }
-  }
-  ConjugationBox box(
-      std::make_shared<CircBox>(compute), std::make_shared<CircBox>(action),
-      std::make_shared<CircBox>(uncompute));
-  circ.add_box(box, circ.all_qubits());
-  return circ;
 }
 
 void replace_CX_with_TK2(Circuit &c) {
diff --git a/tket/src/Circuit/PauliExpBoxes.cpp b/tket/src/Circuit/PauliExpBoxes.cpp
index 23f81c9d8e..049121b571 100644
--- a/tket/src/Circuit/PauliExpBoxes.cpp
+++ b/tket/src/Circuit/PauliExpBoxes.cpp
@@ -18,7 +18,6 @@
 
 #include "tket/Circuit/CircUtils.hpp"
 #include "tket/Circuit/ConjugationBox.hpp"
-#include "tket/Converters/PauliGadget.hpp"
 #include "tket/Converters/PhasePoly.hpp"
 #include "tket/Diagonalisation/Diagonalisation.hpp"
 #include "tket/Ops/OpJsonFactory.hpp"
@@ -61,7 +60,11 @@ Op_ptr PauliExpBox::symbol_substitution(
 }
 
 void PauliExpBox::generate_circuit() const {
-  Circuit circ = pauli_gadget(paulis_.string, paulis_.coeff, cx_config_);
+  // paulis_ gets cast to a sparse form, so circuit from pauli_gadget will only
+  // contain qubits with {X, Y, Z}; appending it to a blank circuit containing
+  // all qubits makes the size of the circuit fixed
+  Circuit circ(paulis_.size());
+  circ.append(pauli_gadget(paulis_, cx_config_));
   circ_ = std::make_shared<Circuit>(circ);
 }
 
@@ -149,8 +152,12 @@ Op_ptr PauliExpPairBox::symbol_substitution(
 }
 
 void PauliExpPairBox::generate_circuit() const {
-  Circuit circ = Circuit(paulis0_.size());
-  append_pauli_gadget_pair(circ, paulis0_, paulis1_, cx_config_);
+  // paulis0_ and paulis1_ gets cast to a sparse form, so circuit from
+  // pauli_gadget_pair will only contain qubits with {X, Y, Z} on at least one;
+  // appending it to a blank circuit containing all qubits makes the size of the
+  // circuit fixed
+  Circuit circ(paulis0_.size());
+  circ.append(pauli_gadget_pair(paulis0_, paulis1_, cx_config_));
   circ_ = std::make_shared<Circuit>(circ);
 }
 
@@ -306,7 +313,7 @@ void PauliExpCommutingSetBox::generate_circuit() const {
   Circuit phase_poly_circ(n_qubits);
 
   for (const SpSymPauliTensor &pgp : gadgets) {
-    append_single_pauli_gadget(phase_poly_circ, pgp);
+    phase_poly_circ.append(pauli_gadget(pgp, CXConfigType::Snake));
   }
   phase_poly_circ.decompose_boxes_recursively();
   PhasePolyBox ppbox(phase_poly_circ);
@@ -363,4 +370,79 @@ Op_ptr PauliExpCommutingSetBox::from_json(const nlohmann::json &j) {
 
 REGISTER_OPFACTORY(PauliExpCommutingSetBox, PauliExpCommutingSetBox)
 
+void append_single_pauli_gadget_as_pauli_exp_box(
+    Circuit &circ, const SpSymPauliTensor &pauli, CXConfigType cx_config) {
+  std::vector<Pauli> string;
+  std::vector<Qubit> mapping;
+  for (const std::pair<const Qubit, Pauli> &term : pauli.string) {
+    string.push_back(term.second);
+    mapping.push_back(term.first);
+  }
+  PauliExpBox box(SymPauliTensor(string, pauli.coeff), cx_config);
+  circ.add_box(box, mapping);
+}
+
+void append_pauli_gadget_pair_as_box(
+    Circuit &circ, const SpSymPauliTensor &pauli0,
+    const SpSymPauliTensor &pauli1, CXConfigType cx_config) {
+  std::vector<Qubit> mapping;
+  std::vector<Pauli> paulis0;
+  std::vector<Pauli> paulis1;
+  QubitPauliMap p1map = pauli1.string;
+  // add paulis for qubits in pauli0_string
+  for (const std::pair<const Qubit, Pauli> &term : pauli0.string) {
+    mapping.push_back(term.first);
+    paulis0.push_back(term.second);
+    auto found = p1map.find(term.first);
+    if (found == p1map.end()) {
+      paulis1.push_back(Pauli::I);
+    } else {
+      paulis1.push_back(found->second);
+      p1map.erase(found);
+    }
+  }
+  // add paulis for qubits in pauli1_string that weren't in pauli0_string
+  for (const std::pair<const Qubit, Pauli> &term : p1map) {
+    mapping.push_back(term.first);
+    paulis1.push_back(term.second);
+    paulis0.push_back(Pauli::I);  // If pauli0_string contained qubit, would
+                                  // have been handled above
+  }
+  PauliExpPairBox box(
+      SymPauliTensor(paulis0, pauli0.coeff),
+      SymPauliTensor(paulis1, pauli1.coeff), cx_config);
+  circ.add_box(box, mapping);
+}
+
+void append_commuting_pauli_gadget_set_as_box(
+    Circuit &circ, const std::list<SpSymPauliTensor> &gadgets,
+    CXConfigType cx_config) {
+  // Translate from QubitPauliTensors to vectors of Paulis of same length
+  // Preserves ordering of qubits
+
+  std::set<Qubit> all_qubits;
+  for (const SpSymPauliTensor &gadget : gadgets) {
+    for (const std::pair<const Qubit, Pauli> &qubit_pauli : gadget.string) {
+      all_qubits.insert(qubit_pauli.first);
+    }
+  }
+
+  std::vector<Qubit> mapping;
+  for (const auto &qubit : all_qubits) {
+    mapping.push_back(qubit);
+  }
+
+  std::vector<SymPauliTensor> pauli_gadgets;
+  for (const SpSymPauliTensor &gadget : gadgets) {
+    SymPauliTensor &new_gadget =
+        pauli_gadgets.emplace_back(DensePauliMap{}, gadget.coeff);
+    for (const Qubit &qubit : mapping) {
+      new_gadget.string.push_back(gadget.get(qubit));
+    }
+  }
+
+  PauliExpCommutingSetBox box(pauli_gadgets, cx_config);
+  circ.add_box(box, mapping);
+}
+
 }  // namespace tket
diff --git a/tket/src/Clifford/ChoiMixTableau.cpp b/tket/src/Clifford/ChoiMixTableau.cpp
index b481d54893..80f0765937 100644
--- a/tket/src/Clifford/ChoiMixTableau.cpp
+++ b/tket/src/Clifford/ChoiMixTableau.cpp
@@ -103,11 +103,13 @@ ChoiMixTableau::ChoiMixTableau(const std::list<row_tensor_t>& rows)
   VectorXb phase = VectorXb::Zero(n_rows);
   unsigned r = 0;
   for (const row_tensor_t& row : rows) {
+    unsigned n_ys = 0;
     for (const std::pair<const Qubit, Pauli>& qb : row.first.string) {
       unsigned c =
           col_index_.left.at(col_key_t{qb.first, TableauSegment::Input});
       if (qb.second == Pauli::X || qb.second == Pauli::Y) xmat(r, c) = true;
       if (qb.second == Pauli::Z || qb.second == Pauli::Y) zmat(r, c) = true;
+      if (qb.second == Pauli::Y) ++n_ys;
     }
     for (const std::pair<const Qubit, Pauli>& qb : row.second.string) {
       unsigned c =
@@ -115,7 +117,8 @@ ChoiMixTableau::ChoiMixTableau(const std::list<row_tensor_t>& rows)
       if (qb.second == Pauli::X || qb.second == Pauli::Y) xmat(r, c) = true;
       if (qb.second == Pauli::Z || qb.second == Pauli::Y) zmat(r, c) = true;
     }
-    phase(r) = row.first.is_real_negative() ^ row.second.is_real_negative();
+    phase(r) = row.first.is_real_negative() ^ row.second.is_real_negative() ^
+               (n_ys % 2 == 1);
     ++r;
   }
   tab_ = SymplecticTableau(xmat, zmat, phase);
@@ -125,22 +128,30 @@ unsigned ChoiMixTableau::get_n_rows() const { return tab_.get_n_rows(); }
 
 unsigned ChoiMixTableau::get_n_boundaries() const { return col_index_.size(); }
 
-unsigned ChoiMixTableau::get_n_inputs() const {
-  unsigned n = 0;
+unsigned ChoiMixTableau::get_n_inputs() const { return input_qubits().size(); }
+
+unsigned ChoiMixTableau::get_n_outputs() const {
+  return output_qubits().size();
+}
+
+qubit_vector_t ChoiMixTableau::input_qubits() const {
+  qubit_vector_t ins;
   BOOST_FOREACH (
       tableau_col_index_t::left_const_reference entry, col_index_.left) {
-    if (entry.first.second == TableauSegment::Input) ++n;
+    if (entry.first.second == TableauSegment::Input)
+      ins.push_back(entry.first.first);
   }
-  return n;
+  return ins;
 }
 
-unsigned ChoiMixTableau::get_n_outputs() const {
-  unsigned n = 0;
+qubit_vector_t ChoiMixTableau::output_qubits() const {
+  qubit_vector_t outs;
   BOOST_FOREACH (
       tableau_col_index_t::left_const_reference entry, col_index_.left) {
-    if (entry.first.second == TableauSegment::Output) ++n;
+    if (entry.first.second == TableauSegment::Output)
+      outs.push_back(entry.first.first);
   }
-  return n;
+  return outs;
 }
 
 ChoiMixTableau::row_tensor_t ChoiMixTableau::stab_to_row_tensor(
@@ -173,17 +184,22 @@ PauliStabiliser ChoiMixTableau::row_tensor_to_stab(
 }
 
 ChoiMixTableau::row_tensor_t ChoiMixTableau::get_row(unsigned i) const {
-  return stab_to_row_tensor(tab_.get_pauli(i));
+  ChoiMixTableau::row_tensor_t res = stab_to_row_tensor(tab_.get_pauli(i));
+  res.first.transpose();
+  res.second.coeff = (res.first.coeff + res.second.coeff) % 4;
+  res.first.coeff = 0;
+  return res;
 }
 
 ChoiMixTableau::row_tensor_t ChoiMixTableau::get_row_product(
     const std::vector<unsigned>& rows) const {
   row_tensor_t result = {{}, {}};
   for (unsigned i : rows) {
-    row_tensor_t row_i = get_row(i);
+    row_tensor_t row_i = stab_to_row_tensor(tab_.get_pauli(i));
     result.first = result.first * row_i.first;
     result.second = result.second * row_i.second;
   }
+  result.first.transpose();
   result.second.coeff = (result.first.coeff + result.second.coeff) % 4;
   result.first.coeff = 0;
   return result;
@@ -194,11 +210,26 @@ void ChoiMixTableau::apply_S(const Qubit& qb, TableauSegment seg) {
   tab_.apply_S(col);
 }
 
+void ChoiMixTableau::apply_Z(const Qubit& qb, TableauSegment seg) {
+  unsigned col = col_index_.left.at(col_key_t{qb, seg});
+  tab_.apply_Z(col);
+}
+
 void ChoiMixTableau::apply_V(const Qubit& qb, TableauSegment seg) {
   unsigned col = col_index_.left.at(col_key_t{qb, seg});
   tab_.apply_V(col);
 }
 
+void ChoiMixTableau::apply_X(const Qubit& qb, TableauSegment seg) {
+  unsigned col = col_index_.left.at(col_key_t{qb, seg});
+  tab_.apply_X(col);
+}
+
+void ChoiMixTableau::apply_H(const Qubit& qb, TableauSegment seg) {
+  unsigned col = col_index_.left.at(col_key_t{qb, seg});
+  tab_.apply_H(col);
+}
+
 void ChoiMixTableau::apply_CX(
     const Qubit& control, const Qubit& target, TableauSegment seg) {
   unsigned uc = col_index_.left.at(col_key_t{control, seg});
@@ -210,20 +241,16 @@ void ChoiMixTableau::apply_gate(
     OpType type, const qubit_vector_t& qbs, TableauSegment seg) {
   switch (type) {
     case OpType::Z: {
-      apply_S(qbs.at(0), seg);
-      apply_S(qbs.at(0), seg);
+      apply_Z(qbs.at(0), seg);
       break;
     }
     case OpType::X: {
-      apply_V(qbs.at(0), seg);
-      apply_V(qbs.at(0), seg);
+      apply_X(qbs.at(0), seg);
       break;
     }
     case OpType::Y: {
-      apply_S(qbs.at(0), seg);
-      apply_S(qbs.at(0), seg);
-      apply_V(qbs.at(0), seg);
-      apply_V(qbs.at(0), seg);
+      apply_Z(qbs.at(0), seg);
+      apply_X(qbs.at(0), seg);
       break;
     }
     case OpType::S: {
@@ -232,8 +259,7 @@ void ChoiMixTableau::apply_gate(
     }
     case OpType::Sdg: {
       apply_S(qbs.at(0), seg);
-      apply_S(qbs.at(0), seg);
-      apply_S(qbs.at(0), seg);
+      apply_Z(qbs.at(0), seg);
       break;
     }
     case OpType::SX:
@@ -244,14 +270,11 @@ void ChoiMixTableau::apply_gate(
     case OpType::SXdg:
     case OpType::Vdg: {
       apply_V(qbs.at(0), seg);
-      apply_V(qbs.at(0), seg);
-      apply_V(qbs.at(0), seg);
+      apply_X(qbs.at(0), seg);
       break;
     }
     case OpType::H: {
-      apply_S(qbs.at(0), seg);
-      apply_V(qbs.at(0), seg);
-      apply_S(qbs.at(0), seg);
+      apply_H(qbs.at(0), seg);
       break;
     }
     case OpType::CX: {
@@ -263,25 +286,19 @@ void ChoiMixTableau::apply_gate(
         apply_S(qbs.at(1), seg);
         apply_CX(qbs.at(0), qbs.at(1), seg);
         apply_S(qbs.at(1), seg);
-        apply_S(qbs.at(1), seg);
-        apply_S(qbs.at(1), seg);
+        apply_Z(qbs.at(1), seg);
       } else {
         apply_S(qbs.at(1), seg);
-        apply_S(qbs.at(1), seg);
-        apply_S(qbs.at(1), seg);
+        apply_Z(qbs.at(1), seg);
         apply_CX(qbs.at(0), qbs.at(1), seg);
         apply_S(qbs.at(1), seg);
       }
       break;
     }
     case OpType::CZ: {
-      apply_S(qbs.at(1), seg);
-      apply_V(qbs.at(1), seg);
-      apply_S(qbs.at(1), seg);
+      apply_H(qbs.at(1), seg);
       apply_CX(qbs.at(0), qbs.at(1), seg);
-      apply_S(qbs.at(1), seg);
-      apply_V(qbs.at(1), seg);
-      apply_S(qbs.at(1), seg);
+      apply_H(qbs.at(1), seg);
       break;
     }
     case OpType::ZZMax: {
@@ -292,16 +309,14 @@ void ChoiMixTableau::apply_gate(
     }
     case OpType::ECR: {
       if (seg == TableauSegment::Input) {
-        apply_V(qbs.at(0), seg);
-        apply_V(qbs.at(0), seg);
+        apply_X(qbs.at(0), seg);
         apply_S(qbs.at(0), seg);
         apply_V(qbs.at(1), seg);
         apply_CX(qbs.at(0), qbs.at(1), seg);
       } else {
         apply_CX(qbs.at(0), qbs.at(1), seg);
         apply_S(qbs.at(0), seg);
-        apply_V(qbs.at(0), seg);
-        apply_V(qbs.at(0), seg);
+        apply_X(qbs.at(0), seg);
         apply_V(qbs.at(1), seg);
       }
       break;
@@ -312,8 +327,7 @@ void ChoiMixTableau::apply_gate(
       apply_CX(qbs.at(0), qbs.at(1), seg);
       apply_V(qbs.at(0), seg);
       apply_S(qbs.at(1), seg);
-      apply_S(qbs.at(1), seg);
-      apply_S(qbs.at(1), seg);
+      apply_Z(qbs.at(1), seg);
       apply_CX(qbs.at(0), qbs.at(1), seg);
       apply_V(qbs.at(0), seg);
       apply_V(qbs.at(1), seg);
@@ -341,28 +355,25 @@ void ChoiMixTableau::apply_gate(
         // reinsert qubit initialised to maximally mixed state (no coherent
         // stabilizers)
         col_index_.insert({{qbs.at(0), TableauSegment::Input}, col});
-        tab_.xmat_.conservativeResize(rows, col + 1);
-        tab_.xmat_.col(col) = MatrixXb::Zero(rows, 1);
-        tab_.zmat_.conservativeResize(rows, col + 1);
-        tab_.zmat_.col(col) = MatrixXb::Zero(rows, 1);
-        ++tab_.n_qubits_;
+        tab_.xmat.conservativeResize(rows, col + 1);
+        tab_.xmat.col(col) = MatrixXb::Zero(rows, 1);
+        tab_.zmat.conservativeResize(rows, col + 1);
+        tab_.zmat.col(col) = MatrixXb::Zero(rows, 1);
       } else {
         discard_qubit(qbs.at(0), TableauSegment::Output);
         unsigned col = get_n_boundaries();
         unsigned rows = get_n_rows();
         // reinsert qubit initialised to |0> (add a Z stabilizer)
         col_index_.insert({{qbs.at(0), TableauSegment::Output}, col});
-        tab_.xmat_.conservativeResize(rows + 1, col + 1);
-        tab_.xmat_.col(col) = MatrixXb::Zero(rows + 1, 1);
-        tab_.xmat_.row(rows) = MatrixXb::Zero(1, col + 1);
-        tab_.zmat_.conservativeResize(rows + 1, col + 1);
-        tab_.zmat_.col(col) = MatrixXb::Zero(rows + 1, 1);
-        tab_.zmat_.row(rows) = MatrixXb::Zero(1, col + 1);
-        tab_.zmat_(rows, col) = true;
-        tab_.phase_.conservativeResize(rows + 1);
-        tab_.phase_(rows) = false;
-        ++tab_.n_rows_;
-        ++tab_.n_qubits_;
+        tab_.xmat.conservativeResize(rows + 1, col + 1);
+        tab_.xmat.col(col) = MatrixXb::Zero(rows + 1, 1);
+        tab_.xmat.row(rows) = MatrixXb::Zero(1, col + 1);
+        tab_.zmat.conservativeResize(rows + 1, col + 1);
+        tab_.zmat.col(col) = MatrixXb::Zero(rows + 1, 1);
+        tab_.zmat.row(rows) = MatrixXb::Zero(1, col + 1);
+        tab_.zmat(rows, col) = true;
+        tab_.phase.conservativeResize(rows + 1);
+        tab_.phase(rows) = false;
       }
       break;
     }
@@ -399,10 +410,10 @@ void ChoiMixTableau::post_select(const Qubit& qb, TableauSegment seg) {
   unsigned n_cols = get_n_boundaries();
   unsigned col = col_index_.left.at(col_key_t{qb, seg});
   for (unsigned r = 0; r < n_rows; ++r) {
-    if (tab_.zmat_(r, col)) {
+    if (tab_.zmat(r, col)) {
       bool only_z = true;
       for (unsigned c = 0; c < n_cols; ++c) {
-        if ((tab_.xmat_(r, c) || tab_.zmat_(r, c)) && (c != col)) {
+        if ((tab_.xmat(r, c) || tab_.zmat(r, c)) && (c != col)) {
           only_z = false;
           break;
         }
@@ -410,7 +421,7 @@ void ChoiMixTableau::post_select(const Qubit& qb, TableauSegment seg) {
       if (!only_z) break;  // Not deterministic
       // From here, we know we are in a deterministic case
       // If deterministically fail, throw an exception
-      if (tab_.phase_(r))
+      if (tab_.phase(r))
         throw std::logic_error(
             "Post-selecting a tableau fails deterministically");
       // Otherwise, we succeed and remove the stabilizer
@@ -423,7 +434,7 @@ void ChoiMixTableau::post_select(const Qubit& qb, TableauSegment seg) {
   // Isolate a single row with an X (if one exists)
   std::optional<unsigned> x_row = std::nullopt;
   for (unsigned r = 0; r < n_rows; ++r) {
-    if (tab_.xmat_(r, col)) {
+    if (tab_.xmat(r, col)) {
       if (x_row) {
         // Already found another row with an X, so combine them
         tab_.row_mult(*x_row, r);
@@ -446,7 +457,7 @@ void ChoiMixTableau::discard_qubit(const Qubit& qb, TableauSegment seg) {
   // Isolate a single row with an X (if one exists)
   std::optional<unsigned> x_row = std::nullopt;
   for (unsigned r = 0; r < get_n_rows(); ++r) {
-    if (tab_.xmat_(r, col)) {
+    if (tab_.xmat(r, col)) {
       if (x_row) {
         // Already found another row with an X, so combine them
         tab_.row_mult(*x_row, r);
@@ -464,7 +475,7 @@ void ChoiMixTableau::discard_qubit(const Qubit& qb, TableauSegment seg) {
   // Isolate a single row with a Z (if one exists)
   std::optional<unsigned> z_row = std::nullopt;
   for (unsigned r = 0; r < get_n_rows(); ++r) {
-    if (tab_.zmat_(r, col)) {
+    if (tab_.zmat(r, col)) {
       if (z_row) {
         // Already found another row with a Z, so combine them
         tab_.row_mult(*z_row, r);
@@ -487,7 +498,7 @@ void ChoiMixTableau::collapse_qubit(const Qubit& qb, TableauSegment seg) {
   // Isolate a single row with an X (if one exists)
   std::optional<unsigned> x_row = std::nullopt;
   for (unsigned r = 0; r < get_n_rows(); ++r) {
-    if (tab_.xmat_(r, col)) {
+    if (tab_.xmat(r, col)) {
       if (x_row) {
         // Already found another row with an X, so combine them
         tab_.row_mult(*x_row, r);
@@ -512,14 +523,13 @@ void ChoiMixTableau::remove_row(unsigned row) {
   unsigned n_rows = get_n_rows();
   unsigned n_cols = get_n_boundaries();
   if (row < n_rows - 1) {
-    tab_.xmat_.row(row) = tab_.xmat_.row(n_rows - 1);
-    tab_.zmat_.row(row) = tab_.zmat_.row(n_rows - 1);
-    tab_.phase_(row) = tab_.phase_(n_rows - 1);
+    tab_.xmat.row(row) = tab_.xmat.row(n_rows - 1);
+    tab_.zmat.row(row) = tab_.zmat.row(n_rows - 1);
+    tab_.phase(row) = tab_.phase(n_rows - 1);
   }
-  tab_.xmat_.conservativeResize(n_rows - 1, n_cols);
-  tab_.zmat_.conservativeResize(n_rows - 1, n_cols);
-  tab_.phase_.conservativeResize(n_rows - 1);
-  --tab_.n_rows_;
+  tab_.xmat.conservativeResize(n_rows - 1, n_cols);
+  tab_.zmat.conservativeResize(n_rows - 1, n_cols);
+  tab_.phase.conservativeResize(n_rows - 1);
 }
 
 void ChoiMixTableau::remove_col(unsigned col) {
@@ -530,11 +540,11 @@ void ChoiMixTableau::remove_col(unsigned col) {
   unsigned n_rows = get_n_rows();
   unsigned n_cols = get_n_boundaries();
   if (col < n_cols - 1) {
-    tab_.xmat_.col(col) = tab_.xmat_.col(n_cols - 1);
-    tab_.zmat_.col(col) = tab_.zmat_.col(n_cols - 1);
+    tab_.xmat.col(col) = tab_.xmat.col(n_cols - 1);
+    tab_.zmat.col(col) = tab_.zmat.col(n_cols - 1);
   }
-  tab_.xmat_.conservativeResize(n_rows, n_cols - 1);
-  tab_.zmat_.conservativeResize(n_rows, n_cols - 1);
+  tab_.xmat.conservativeResize(n_rows, n_cols - 1);
+  tab_.zmat.conservativeResize(n_rows, n_cols - 1);
   col_index_.right.erase(col);
   if (col < n_cols - 1) {
     tableau_col_index_t::right_iterator it = col_index_.right.find(n_cols - 1);
@@ -542,7 +552,6 @@ void ChoiMixTableau::remove_col(unsigned col) {
     col_index_.right.erase(it);
     col_index_.insert({last, col});
   }
-  --tab_.n_qubits_;
 }
 
 void ChoiMixTableau::canonical_column_order(TableauSegment first) {
@@ -579,10 +588,10 @@ void ChoiMixTableau::canonical_column_order(TableauSegment first) {
   for (unsigned j = 0; j < i; ++j) {
     col_key_t key = new_index.right.at(j);
     unsigned c = col_index_.left.at(key);
-    xmat.col(j) = tab_.xmat_.col(c);
-    zmat.col(j) = tab_.zmat_.col(c);
+    xmat.col(j) = tab_.xmat.col(c);
+    zmat.col(j) = tab_.zmat.col(c);
   }
-  tab_ = SymplecticTableau(xmat, zmat, tab_.phase_);
+  tab_ = SymplecticTableau(xmat, zmat, tab_.phase);
   col_index_ = new_index;
 }
 
@@ -620,12 +629,12 @@ ChoiMixTableau ChoiMixTableau::compose(
   }
   MatrixXb fullx(f_rows + s_rows, f_cols + s_cols),
       fullz(f_rows + s_rows, f_cols + s_cols);
-  fullx << first.tab_.xmat_, MatrixXb::Zero(f_rows, s_cols),
-      MatrixXb::Zero(s_rows, f_cols), second.tab_.xmat_;
-  fullz << first.tab_.zmat_, MatrixXb::Zero(f_rows, s_cols),
-      MatrixXb::Zero(s_rows, f_cols), second.tab_.zmat_;
+  fullx << first.tab_.xmat, MatrixXb::Zero(f_rows, s_cols),
+      MatrixXb::Zero(s_rows, f_cols), second.tab_.xmat;
+  fullz << first.tab_.zmat, MatrixXb::Zero(f_rows, s_cols),
+      MatrixXb::Zero(s_rows, f_cols), second.tab_.zmat;
   VectorXb fullph(f_rows + s_rows);
-  fullph << first.tab_.phase_, second.tab_.phase_;
+  fullph << first.tab_.phase, second.tab_.phase;
   ChoiMixTableau combined(fullx, fullz, fullph, 0);
   // For each connecting pair of qubits, compose via a Bell post-selection
   for (unsigned i = 0; i < f_cols; ++i) {
diff --git a/tket/src/Clifford/SymplecticTableau.cpp b/tket/src/Clifford/SymplecticTableau.cpp
index 45ba0011db..d2b373e38f 100644
--- a/tket/src/Clifford/SymplecticTableau.cpp
+++ b/tket/src/Clifford/SymplecticTableau.cpp
@@ -62,56 +62,51 @@ const std::map<std::pair<BoolPauli, BoolPauli>, std::pair<BoolPauli, Complex>>
 
 SymplecticTableau::SymplecticTableau(
     const MatrixXb &xmat, const MatrixXb &zmat, const VectorXb &phase)
-    : n_rows_(xmat.rows()),
-      n_qubits_(xmat.cols()),
-      xmat_(xmat),
-      zmat_(zmat),
-      phase_(phase) {
-  if (zmat.rows() != n_rows_ || phase_.size() != n_rows_)
+    : xmat(xmat), zmat(zmat), phase(phase) {
+  if (zmat.rows() != xmat.rows() || phase.size() != xmat.rows())
     throw std::invalid_argument(
         "Tableau must have the same number of rows in each component.");
-  if (zmat.cols() != n_qubits_)
+  if (zmat.cols() != xmat.cols())
     throw std::invalid_argument(
         "Tableau must have the same number of columns in x and z components.");
 }
 
 SymplecticTableau::SymplecticTableau(const PauliStabiliserVec &rows) {
-  n_rows_ = rows.size();
-  if (n_rows_ == 0)
-    n_qubits_ = 0;
-  else
-    n_qubits_ = rows[0].string.size();
-  xmat_ = MatrixXb::Zero(n_rows_, n_qubits_);
-  zmat_ = MatrixXb::Zero(n_rows_, n_qubits_);
-  phase_ = VectorXb::Zero(n_rows_);
-  for (unsigned i = 0; i < n_rows_; ++i) {
+  unsigned n_rows = rows.size();
+  unsigned n_qubits = 0;
+  if (n_rows != 0) n_qubits = rows[0].string.size();
+  xmat = MatrixXb::Zero(n_rows, n_qubits);
+  zmat = MatrixXb::Zero(n_rows, n_qubits);
+  phase = VectorXb::Zero(n_rows);
+  for (unsigned i = 0; i < n_rows; ++i) {
     const PauliStabiliser &stab = rows[i];
-    if (stab.string.size() != n_qubits_)
+    if (stab.string.size() != n_qubits)
       throw std::invalid_argument(
           "Tableau must have the same number of qubits in each row.");
-    for (unsigned q = 0; q < n_qubits_; ++q) {
+    for (unsigned q = 0; q < n_qubits; ++q) {
       const Pauli &p = stab.get(q);
-      xmat_(i, q) = (p == Pauli::X) || (p == Pauli::Y);
-      zmat_(i, q) = (p == Pauli::Z) || (p == Pauli::Y);
+      xmat(i, q) = (p == Pauli::X) || (p == Pauli::Y);
+      zmat(i, q) = (p == Pauli::Z) || (p == Pauli::Y);
     }
-    phase_(i) = stab.is_real_negative();
+    phase(i) = stab.is_real_negative();
   }
 }
 
-unsigned SymplecticTableau::get_n_rows() const { return n_rows_; }
-unsigned SymplecticTableau::get_n_qubits() const { return n_qubits_; }
+unsigned SymplecticTableau::get_n_rows() const { return xmat.rows(); }
+unsigned SymplecticTableau::get_n_qubits() const { return xmat.cols(); }
 
 PauliStabiliser SymplecticTableau::get_pauli(unsigned i) const {
-  std::vector<Pauli> str(n_qubits_);
-  for (unsigned q = 0; q < n_qubits_; ++q) {
-    str[q] = BoolPauli{xmat_(i, q), zmat_(i, q)}.to_pauli();
+  unsigned n_qubits = get_n_qubits();
+  std::vector<Pauli> str(n_qubits);
+  for (unsigned q = 0; q < n_qubits; ++q) {
+    str[q] = BoolPauli{xmat(i, q), zmat(i, q)}.to_pauli();
   }
-  return PauliStabiliser(str, phase_(i) ? 2 : 0);
+  return PauliStabiliser(str, phase(i) ? 2 : 0);
 }
 
 std::ostream &operator<<(std::ostream &os, const SymplecticTableau &tab) {
-  for (unsigned i = 0; i < tab.n_rows_; ++i) {
-    os << tab.xmat_.row(i) << " " << tab.zmat_.row(i) << " " << tab.phase_(i)
+  for (unsigned i = 0; i < tab.get_n_rows(); ++i) {
+    os << tab.xmat.row(i) << " " << tab.zmat.row(i) << " " << tab.phase(i)
        << std::endl;
   }
   return os;
@@ -120,40 +115,58 @@ std::ostream &operator<<(std::ostream &os, const SymplecticTableau &tab) {
 bool SymplecticTableau::operator==(const SymplecticTableau &other) const {
   // Need this to short-circuit before matrix checks as comparing matrices of
   // different sizes will throw an exception
-  return (this->n_rows_ == other.n_rows_) &&
-         (this->n_qubits_ == other.n_qubits_) && (this->xmat_ == other.xmat_) &&
-         (this->zmat_ == other.zmat_) && (this->phase_ == other.phase_);
+  return (this->get_n_rows() == other.get_n_rows()) &&
+         (this->get_n_qubits() == other.get_n_qubits()) &&
+         (this->xmat == other.xmat) && (this->zmat == other.zmat) &&
+         (this->phase == other.phase);
 }
 
 void SymplecticTableau::row_mult(unsigned ra, unsigned rw, Complex coeff) {
-  MatrixXb::RowXpr xa = xmat_.row(ra);
-  MatrixXb::RowXpr za = zmat_.row(ra);
-  MatrixXb::RowXpr xw = xmat_.row(rw);
-  MatrixXb::RowXpr zw = zmat_.row(rw);
-  row_mult(xa, za, phase_(ra), xw, zw, phase_(rw), coeff, xw, zw, phase_(rw));
+  MatrixXb::RowXpr xa = xmat.row(ra);
+  MatrixXb::RowXpr za = zmat.row(ra);
+  MatrixXb::RowXpr xw = xmat.row(rw);
+  MatrixXb::RowXpr zw = zmat.row(rw);
+  row_mult(xa, za, phase(ra), xw, zw, phase(rw), coeff, xw, zw, phase(rw));
 }
 
 void SymplecticTableau::apply_S(unsigned qb) {
-  MatrixXb::ColXpr xcol = xmat_.col(qb);
-  MatrixXb::ColXpr zcol = zmat_.col(qb);
-  col_mult(xcol, zcol, false, zcol, phase_);
+  MatrixXb::ColXpr xcol = xmat.col(qb);
+  MatrixXb::ColXpr zcol = zmat.col(qb);
+  col_mult(xcol, zcol, false, zcol, phase);
+}
+
+void SymplecticTableau::apply_Z(unsigned qb) {
+  for (unsigned i = 0; i < get_n_rows(); ++i) phase(i) = phase(i) ^ xmat(i, qb);
 }
 
 void SymplecticTableau::apply_V(unsigned qb) {
-  MatrixXb::ColXpr xcol = xmat_.col(qb);
-  MatrixXb::ColXpr zcol = zmat_.col(qb);
-  col_mult(zcol, xcol, true, xcol, phase_);
+  MatrixXb::ColXpr xcol = xmat.col(qb);
+  MatrixXb::ColXpr zcol = zmat.col(qb);
+  col_mult(zcol, xcol, true, xcol, phase);
+}
+
+void SymplecticTableau::apply_X(unsigned qb) {
+  for (unsigned i = 0; i < get_n_rows(); ++i) phase(i) = phase(i) ^ zmat(i, qb);
+}
+
+void SymplecticTableau::apply_H(unsigned qb) {
+  for (unsigned i = 0; i < get_n_rows(); ++i) {
+    phase(i) = phase(i) ^ (xmat(i, qb) && zmat(i, qb));
+    bool temp = xmat(i, qb);
+    xmat(i, qb) = zmat(i, qb);
+    zmat(i, qb) = temp;
+  }
 }
 
 void SymplecticTableau::apply_CX(unsigned qc, unsigned qt) {
   if (qc == qt)
     throw std::logic_error(
         "Attempting to apply a CX with equal control and target in a tableau");
-  for (unsigned i = 0; i < n_rows_; ++i) {
-    phase_(i) = phase_(i) ^ (xmat_(i, qc) && zmat_(i, qt) &&
-                             !(xmat_(i, qt) ^ zmat_(i, qc)));
-    xmat_(i, qt) = xmat_(i, qc) ^ xmat_(i, qt);
-    zmat_(i, qc) = zmat_(i, qc) ^ zmat_(i, qt);
+  for (unsigned i = 0; i < get_n_rows(); ++i) {
+    phase(i) =
+        phase(i) ^ (xmat(i, qc) && zmat(i, qt) && !(xmat(i, qt) ^ zmat(i, qc)));
+    xmat(i, qt) = xmat(i, qc) ^ xmat(i, qt);
+    zmat(i, qc) = zmat(i, qc) ^ zmat(i, qt);
   }
 }
 
@@ -161,20 +174,16 @@ void SymplecticTableau::apply_gate(
     OpType type, const std::vector<unsigned> &qbs) {
   switch (type) {
     case OpType::Z: {
-      apply_S(qbs.at(0));
-      apply_S(qbs.at(0));
+      apply_Z(qbs.at(0));
       break;
     }
     case OpType::X: {
-      apply_V(qbs.at(0));
-      apply_V(qbs.at(0));
+      apply_X(qbs.at(0));
       break;
     }
     case OpType::Y: {
-      apply_S(qbs.at(0));
-      apply_S(qbs.at(0));
-      apply_V(qbs.at(0));
-      apply_V(qbs.at(0));
+      apply_Z(qbs.at(0));
+      apply_X(qbs.at(0));
       break;
     }
     case OpType::S: {
@@ -183,24 +192,22 @@ void SymplecticTableau::apply_gate(
     }
     case OpType::Sdg: {
       apply_S(qbs.at(0));
-      apply_S(qbs.at(0));
-      apply_S(qbs.at(0));
+      apply_Z(qbs.at(0));
       break;
     }
-    case OpType::V: {
+    case OpType::V:
+    case OpType::SX: {
       apply_V(qbs.at(0));
       break;
     }
-    case OpType::Vdg: {
-      apply_V(qbs.at(0));
-      apply_V(qbs.at(0));
+    case OpType::Vdg:
+    case OpType::SXdg: {
       apply_V(qbs.at(0));
+      apply_X(qbs.at(0));
       break;
     }
     case OpType::H: {
-      apply_S(qbs.at(0));
-      apply_V(qbs.at(0));
-      apply_S(qbs.at(0));
+      apply_H(qbs.at(0));
       break;
     }
     case OpType::CX: {
@@ -209,20 +216,15 @@ void SymplecticTableau::apply_gate(
     }
     case OpType::CY: {
       apply_S(qbs.at(1));
-      apply_S(qbs.at(1));
-      apply_S(qbs.at(1));
+      apply_Z(qbs.at(1));
       apply_CX(qbs.at(0), qbs.at(1));
       apply_S(qbs.at(1));
       break;
     }
     case OpType::CZ: {
-      apply_S(qbs.at(1));
-      apply_V(qbs.at(1));
-      apply_S(qbs.at(1));
+      apply_H(qbs.at(1));
       apply_CX(qbs.at(0), qbs.at(1));
-      apply_S(qbs.at(1));
-      apply_V(qbs.at(1));
-      apply_S(qbs.at(1));
+      apply_H(qbs.at(1));
       break;
     }
     case OpType::SWAP: {
@@ -235,6 +237,34 @@ void SymplecticTableau::apply_gate(
       apply_CX(qbs.at(0), qbs.at(2));
       break;
     }
+    case OpType::ZZMax: {
+      apply_H(qbs.at(1));
+      apply_S(qbs.at(0));
+      apply_V(qbs.at(1));
+      apply_CX(qbs.at(0), qbs.at(1));
+      apply_H(qbs.at(1));
+      break;
+    }
+    case OpType::ECR: {
+      apply_S(qbs.at(0));
+      apply_X(qbs.at(0));
+      apply_V(qbs.at(1));
+      apply_X(qbs.at(1));
+      apply_CX(qbs.at(0), qbs.at(1));
+      break;
+    }
+    case OpType::ISWAPMax: {
+      apply_V(qbs.at(0));
+      apply_V(qbs.at(1));
+      apply_CX(qbs.at(0), qbs.at(1));
+      apply_V(qbs.at(0));
+      apply_S(qbs.at(1));
+      apply_Z(qbs.at(1));
+      apply_CX(qbs.at(0), qbs.at(1));
+      apply_V(qbs.at(0));
+      apply_V(qbs.at(1));
+      break;
+    }
     case OpType::noop:
     case OpType::Phase: {
       break;
@@ -249,7 +279,8 @@ void SymplecticTableau::apply_gate(
 
 void SymplecticTableau::apply_pauli_gadget(
     const PauliStabiliser &pauli, unsigned half_pis) {
-  if (pauli.string.size() != n_qubits_) {
+  unsigned n_qubits = get_n_qubits();
+  if (pauli.string.size() != n_qubits) {
     throw std::invalid_argument(
         "Cannot apply pauli gadget to SymplecticTableau; string and tableau "
         "have different numbers of qubits");
@@ -281,39 +312,40 @@ void SymplecticTableau::apply_pauli_gadget(
 
   // From here, half_pis == 1 or 3
   // They act the same except for a phase flip on the product term
-  MatrixXb pauli_xrow = MatrixXb::Zero(1, n_qubits_);
-  MatrixXb pauli_zrow = MatrixXb::Zero(1, n_qubits_);
-  for (unsigned i = 0; i < n_qubits_; ++i) {
+  MatrixXb pauli_xrow = MatrixXb::Zero(1, n_qubits);
+  MatrixXb pauli_zrow = MatrixXb::Zero(1, n_qubits);
+  for (unsigned i = 0; i < n_qubits; ++i) {
     Pauli p = pauli.string.at(i);
     pauli_xrow(i) = (p == Pauli::X) || (p == Pauli::Y);
     pauli_zrow(i) = (p == Pauli::Z) || (p == Pauli::Y);
   }
-  bool phase = pauli.is_real_negative() ^ (half_pis == 3);
+  bool phase_flip = pauli.is_real_negative() ^ (half_pis == 3);
 
-  for (unsigned i = 0; i < n_rows_; ++i) {
+  for (unsigned i = 0; i < get_n_rows(); ++i) {
     bool anti = false;
-    MatrixXb::RowXpr xr = xmat_.row(i);
-    MatrixXb::RowXpr zr = zmat_.row(i);
-    for (unsigned q = 0; q < n_qubits_; ++q) {
+    MatrixXb::RowXpr xr = xmat.row(i);
+    MatrixXb::RowXpr zr = zmat.row(i);
+    for (unsigned q = 0; q < n_qubits; ++q) {
       anti ^= (xr(q) && pauli_zrow(q));
       anti ^= (zr(q) && pauli_xrow(q));
     }
     if (anti) {
       row_mult(
-          xr, zr, phase_(i), pauli_xrow.row(0), pauli_zrow.row(0), phase, i_,
-          xr, zr, phase_(i));
+          xr, zr, phase(i), pauli_xrow.row(0), pauli_zrow.row(0), phase_flip,
+          i_, xr, zr, phase(i));
     }
   }
 }
 
 MatrixXb SymplecticTableau::anticommuting_rows() const {
-  MatrixXb res = MatrixXb::Zero(n_rows_, n_rows_);
-  for (unsigned i = 0; i < n_rows_; ++i) {
+  unsigned n_rows = get_n_rows();
+  MatrixXb res = MatrixXb::Zero(n_rows, n_rows);
+  for (unsigned i = 0; i < n_rows; ++i) {
     for (unsigned j = 0; j < i; ++j) {
       bool anti = false;
-      for (unsigned q = 0; q < n_qubits_; ++q) {
-        anti ^= (xmat_(i, q) && zmat_(j, q));
-        anti ^= (xmat_(j, q) && zmat_(i, q));
+      for (unsigned q = 0; q < get_n_qubits(); ++q) {
+        anti ^= (xmat(i, q) && zmat(j, q));
+        anti ^= (xmat(j, q) && zmat(i, q));
       }
       res(i, j) = anti;
       res(j, i) = anti;
@@ -327,32 +359,33 @@ unsigned SymplecticTableau::rank() const {
   SymplecticTableau copy(*this);
   copy.gaussian_form();
   unsigned empty_rows = 0;
-  for (unsigned i = 0; i < n_rows_; ++i) {
-    if (copy.xmat_.row(n_rows_ - 1 - i).isZero() &&
-        copy.zmat_.row(n_rows_ - 1 - i).isZero())
+  unsigned n_rows = get_n_rows();
+  for (unsigned i = 0; i < n_rows; ++i) {
+    if (copy.xmat.row(n_rows - 1 - i).isZero() &&
+        copy.zmat.row(n_rows - 1 - i).isZero())
       ++empty_rows;
     else
       break;
   }
-  return n_rows_ - empty_rows;
+  return n_rows - empty_rows;
 }
 
 SymplecticTableau SymplecticTableau::conjugate() const {
   SymplecticTableau conj(*this);
-  for (unsigned i = 0; i < n_rows_; ++i) {
+  for (unsigned i = 0; i < get_n_rows(); ++i) {
     unsigned sum = 0;
-    for (unsigned j = 0; j < n_qubits_; ++j) {
-      if (xmat_(i, j) && zmat_(i, j)) ++sum;
+    for (unsigned j = 0; j < get_n_qubits(); ++j) {
+      if (xmat(i, j) && zmat(i, j)) ++sum;
     }
-    if (sum % 2 == 1) conj.phase_(i) ^= true;
+    if (sum % 2 == 1) conj.phase(i) ^= true;
   }
   return conj;
 }
 
 void SymplecticTableau::gaussian_form() {
-  MatrixXb fullmat = MatrixXb::Zero(n_rows_, 2 * n_qubits_);
-  fullmat(Eigen::all, Eigen::seq(0, Eigen::last, 2)) = xmat_;
-  fullmat(Eigen::all, Eigen::seq(1, Eigen::last, 2)) = zmat_;
+  MatrixXb fullmat = MatrixXb::Zero(get_n_rows(), 2 * get_n_qubits());
+  fullmat(Eigen::all, Eigen::seq(0, Eigen::last, 2)) = xmat;
+  fullmat(Eigen::all, Eigen::seq(1, Eigen::last, 2)) = zmat;
   std::vector<std::pair<unsigned, unsigned>> row_ops =
       gaussian_elimination_row_ops(fullmat);
   for (const std::pair<unsigned, unsigned> &op : row_ops) {
@@ -366,7 +399,7 @@ void SymplecticTableau::row_mult(
     Complex phase, MatrixXb::RowXpr &xw, MatrixXb::RowXpr &zw, bool &pw) {
   if (pa) phase *= -1;
   if (pb) phase *= -1;
-  for (unsigned i = 0; i < n_qubits_; i++) {
+  for (unsigned i = 0; i < get_n_qubits(); i++) {
     std::pair<BoolPauli, Complex> res =
         BoolPauli::mult_lut.at({{xa(i), za(i)}, {xb(i), zb(i)}});
     xw(i) = res.first.x;
@@ -379,18 +412,18 @@ void SymplecticTableau::row_mult(
 void SymplecticTableau::col_mult(
     const MatrixXb::ColXpr &a, const MatrixXb::ColXpr &b, bool flip,
     MatrixXb::ColXpr &w, VectorXb &pw) {
-  for (unsigned i = 0; i < n_rows_; i++) {
+  for (unsigned i = 0; i < get_n_rows(); i++) {
     pw(i) = pw(i) ^ (a(i) && (b(i) ^ flip));
     w(i) = a(i) ^ b(i);
   }
 }
 
 void to_json(nlohmann::json &j, const SymplecticTableau &tab) {
-  j["nrows"] = tab.n_rows_;
-  j["nqubits"] = tab.n_qubits_;
-  j["xmat"] = tab.xmat_;
-  j["zmat"] = tab.zmat_;
-  j["phase"] = tab.phase_;
+  j["nrows"] = tab.get_n_rows();
+  j["nqubits"] = tab.get_n_qubits();
+  j["xmat"] = tab.xmat;
+  j["zmat"] = tab.zmat;
+  j["phase"] = tab.phase;
 }
 
 void from_json(const nlohmann::json &j, SymplecticTableau &tab) {
diff --git a/tket/src/Clifford/UnitaryTableau.cpp b/tket/src/Clifford/UnitaryTableau.cpp
index 4f0527c949..80b9dffd53 100644
--- a/tket/src/Clifford/UnitaryTableau.cpp
+++ b/tket/src/Clifford/UnitaryTableau.cpp
@@ -155,6 +155,16 @@ void UnitaryTableau::apply_S_at_end(const Qubit& qb) {
   tab_.apply_S(uqb);
 }
 
+void UnitaryTableau::apply_Z_at_front(const Qubit& qb) {
+  unsigned uqb = qubits_.left.at(qb);
+  tab_.phase(uqb) = !tab_.phase(uqb);
+}
+
+void UnitaryTableau::apply_Z_at_end(const Qubit& qb) {
+  unsigned uqb = qubits_.left.at(qb);
+  tab_.apply_Z(uqb);
+}
+
 void UnitaryTableau::apply_V_at_front(const Qubit& qb) {
   unsigned uqb = qubits_.left.at(qb);
   tab_.row_mult(uqb, uqb + qubits_.size(), -i_);
@@ -165,6 +175,31 @@ void UnitaryTableau::apply_V_at_end(const Qubit& qb) {
   tab_.apply_V(uqb);
 }
 
+void UnitaryTableau::apply_X_at_front(const Qubit& qb) {
+  unsigned uqb = qubits_.left.at(qb);
+  tab_.phase(uqb + qubits_.size()) = !tab_.phase(uqb + qubits_.size());
+}
+
+void UnitaryTableau::apply_X_at_end(const Qubit& qb) {
+  unsigned uqb = qubits_.left.at(qb);
+  tab_.apply_X(uqb);
+}
+
+void UnitaryTableau::apply_H_at_front(const Qubit& qb) {
+  unsigned uqb = qubits_.left.at(qb);
+  unsigned n_qubits = qubits_.size();
+  bool temp = tab_.phase(uqb);
+  tab_.phase(uqb) = tab_.phase(uqb + n_qubits);
+  tab_.phase(uqb + n_qubits) = temp;
+  tab_.xmat.row(uqb).swap(tab_.xmat.row(uqb + n_qubits));
+  tab_.zmat.row(uqb).swap(tab_.zmat.row(uqb + n_qubits));
+}
+
+void UnitaryTableau::apply_H_at_end(const Qubit& qb) {
+  unsigned uqb = qubits_.left.at(qb);
+  tab_.apply_H(uqb);
+}
+
 void UnitaryTableau::apply_CX_at_front(
     const Qubit& control, const Qubit& target) {
   unsigned uc = qubits_.left.at(control);
@@ -184,20 +219,16 @@ void UnitaryTableau::apply_gate_at_front(
     OpType type, const qubit_vector_t& qbs) {
   switch (type) {
     case OpType::Z: {
-      apply_S_at_front(qbs.at(0));
-      apply_S_at_front(qbs.at(0));
+      apply_Z_at_front(qbs.at(0));
       break;
     }
     case OpType::X: {
-      apply_V_at_front(qbs.at(0));
-      apply_V_at_front(qbs.at(0));
+      apply_X_at_front(qbs.at(0));
       break;
     }
     case OpType::Y: {
-      apply_S_at_front(qbs.at(0));
-      apply_S_at_front(qbs.at(0));
-      apply_V_at_front(qbs.at(0));
-      apply_V_at_front(qbs.at(0));
+      apply_Z_at_front(qbs.at(0));
+      apply_X_at_front(qbs.at(0));
       break;
     }
     case OpType::S: {
@@ -206,24 +237,22 @@ void UnitaryTableau::apply_gate_at_front(
     }
     case OpType::Sdg: {
       apply_S_at_front(qbs.at(0));
-      apply_S_at_front(qbs.at(0));
-      apply_S_at_front(qbs.at(0));
+      apply_Z_at_front(qbs.at(0));
       break;
     }
-    case OpType::V: {
+    case OpType::V:
+    case OpType::SX: {
       apply_V_at_front(qbs.at(0));
       break;
     }
-    case OpType::Vdg: {
-      apply_V_at_front(qbs.at(0));
-      apply_V_at_front(qbs.at(0));
+    case OpType::Vdg:
+    case OpType::SXdg: {
       apply_V_at_front(qbs.at(0));
+      apply_X_at_front(qbs.at(0));
       break;
     }
     case OpType::H: {
-      apply_S_at_front(qbs.at(0));
-      apply_V_at_front(qbs.at(0));
-      apply_S_at_front(qbs.at(0));
+      apply_H_at_front(qbs.at(0));
       break;
     }
     case OpType::CX: {
@@ -234,18 +263,13 @@ void UnitaryTableau::apply_gate_at_front(
       apply_S_at_front(qbs.at(1));
       apply_CX_at_front(qbs.at(0), qbs.at(1));
       apply_S_at_front(qbs.at(1));
-      apply_S_at_front(qbs.at(1));
-      apply_S_at_front(qbs.at(1));
+      apply_Z_at_front(qbs.at(1));
       break;
     }
     case OpType::CZ: {
-      apply_S_at_front(qbs.at(1));
-      apply_V_at_front(qbs.at(1));
-      apply_S_at_front(qbs.at(1));
+      apply_H_at_front(qbs.at(1));
       apply_CX_at_front(qbs.at(0), qbs.at(1));
-      apply_S_at_front(qbs.at(1));
-      apply_V_at_front(qbs.at(1));
-      apply_S_at_front(qbs.at(1));
+      apply_H_at_front(qbs.at(1));
       break;
     }
     case OpType::SWAP: {
@@ -258,6 +282,34 @@ void UnitaryTableau::apply_gate_at_front(
       apply_CX_at_front(qbs.at(0), qbs.at(2));
       break;
     }
+    case OpType::ZZMax: {
+      apply_H_at_front(qbs.at(1));
+      apply_S_at_front(qbs.at(0));
+      apply_V_at_front(qbs.at(1));
+      apply_CX_at_front(qbs.at(0), qbs.at(1));
+      apply_H_at_front(qbs.at(1));
+      break;
+    }
+    case OpType::ECR: {
+      apply_CX_at_front(qbs.at(0), qbs.at(1));
+      apply_X_at_front(qbs.at(0));
+      apply_S_at_front(qbs.at(0));
+      apply_V_at_front(qbs.at(1));
+      apply_X_at_front(qbs.at(1));
+      break;
+    }
+    case OpType::ISWAPMax: {
+      apply_V_at_front(qbs.at(0));
+      apply_V_at_front(qbs.at(1));
+      apply_CX_at_front(qbs.at(0), qbs.at(1));
+      apply_V_at_front(qbs.at(0));
+      apply_S_at_front(qbs.at(1));
+      apply_Z_at_front(qbs.at(1));
+      apply_CX_at_front(qbs.at(0), qbs.at(1));
+      apply_V_at_front(qbs.at(0));
+      apply_V_at_front(qbs.at(1));
+      break;
+    }
     case OpType::noop:
     case OpType::Phase: {
       break;
@@ -383,8 +435,8 @@ UnitaryTableau UnitaryTableau::dagger() const {
     for (unsigned j = 0; j < nqb; ++j) {
       // Take effect of some input on some output and invert
       auto inv_cell = invert_cell_map().at(
-          {BoolPauli{tab_.xmat_(i, j), tab_.zmat_(i, j)},
-           BoolPauli{tab_.xmat_(i + nqb, j), tab_.zmat_(i + nqb, j)}});
+          {BoolPauli{tab_.xmat(i, j), tab_.zmat(i, j)},
+           BoolPauli{tab_.xmat(i + nqb, j), tab_.zmat(i + nqb, j)}});
       // Transpose tableau and fill in cell
       dxx(j, i) = inv_cell.first.x;
       dxz(j, i) = inv_cell.first.z;
@@ -399,9 +451,9 @@ UnitaryTableau UnitaryTableau::dagger() const {
   // Correct phases
   for (unsigned i = 0; i < nqb; ++i) {
     SpPauliStabiliser xr = dag.get_xrow(qubits_.right.at(i));
-    dag.tab_.phase_(i) = get_row_product(xr).is_real_negative();
+    dag.tab_.phase(i) = get_row_product(xr).is_real_negative();
     SpPauliStabiliser zr = dag.get_zrow(qubits_.right.at(i));
-    dag.tab_.phase_(i + nqb) = get_row_product(zr).is_real_negative();
+    dag.tab_.phase(i + nqb) = get_row_product(zr).is_real_negative();
   }
 
   return dag;
@@ -422,14 +474,14 @@ std::ostream& operator<<(std::ostream& os, const UnitaryTableau& tab) {
   unsigned nqs = tab.qubits_.size();
   for (unsigned i = 0; i < nqs; ++i) {
     Qubit qi = tab.qubits_.right.at(i);
-    os << "X@" << qi.repr() << "\t->\t" << tab.tab_.xmat_.row(i) << "   "
-       << tab.tab_.zmat_.row(i) << "   " << tab.tab_.phase_(i) << std::endl;
+    os << "X@" << qi.repr() << "\t->\t" << tab.tab_.xmat.row(i) << "   "
+       << tab.tab_.zmat.row(i) << "   " << tab.tab_.phase(i) << std::endl;
   }
   os << "--" << std::endl;
   for (unsigned i = 0; i < nqs; ++i) {
     Qubit qi = tab.qubits_.right.at(i);
-    os << "Z@" << qi.repr() << "\t->\t" << tab.tab_.xmat_.row(i + nqs) << "   "
-       << tab.tab_.zmat_.row(i + nqs) << "   " << tab.tab_.phase_(i + nqs)
+    os << "Z@" << qi.repr() << "\t->\t" << tab.tab_.xmat.row(i + nqs) << "   "
+       << tab.tab_.zmat.row(i + nqs) << "   " << tab.tab_.phase(i + nqs)
        << std::endl;
   }
   return os;
@@ -446,13 +498,13 @@ bool UnitaryTableau::operator==(const UnitaryTableau& other) const {
     for (unsigned j = 0; j < nq; ++j) {
       Qubit qj = qubits_.right.at(j);
       unsigned oj = other.qubits_.left.at(qj);
-      if (tab_.xmat_(i, j) != other.tab_.xmat_(oi, oj)) return false;
-      if (tab_.zmat_(i, j) != other.tab_.zmat_(oi, oj)) return false;
-      if (tab_.xmat_(i + nq, j) != other.tab_.xmat_(oi + nq, oj)) return false;
-      if (tab_.zmat_(i + nq, j) != other.tab_.zmat_(oi + nq, oj)) return false;
+      if (tab_.xmat(i, j) != other.tab_.xmat(oi, oj)) return false;
+      if (tab_.zmat(i, j) != other.tab_.zmat(oi, oj)) return false;
+      if (tab_.xmat(i + nq, j) != other.tab_.xmat(oi + nq, oj)) return false;
+      if (tab_.zmat(i + nq, j) != other.tab_.zmat(oi + nq, oj)) return false;
     }
-    if (tab_.phase_(i) != other.tab_.phase_(oi)) return false;
-    if (tab_.phase_(i + nq) != other.tab_.phase_(oi + nq)) return false;
+    if (tab_.phase(i) != other.tab_.phase(oi)) return false;
+    if (tab_.phase(i + nq) != other.tab_.phase(oi + nq)) return false;
   }
 
   return true;
@@ -524,6 +576,14 @@ void UnitaryRevTableau::apply_S_at_end(const Qubit& qb) {
   tab_.apply_pauli_at_front(SpPauliStabiliser(qb, Pauli::Z), 3);
 }
 
+void UnitaryRevTableau::apply_Z_at_front(const Qubit& qb) {
+  tab_.apply_Z_at_end(qb);
+}
+
+void UnitaryRevTableau::apply_Z_at_end(const Qubit& qb) {
+  tab_.apply_Z_at_front(qb);
+}
+
 void UnitaryRevTableau::apply_V_at_front(const Qubit& qb) {
   tab_.apply_pauli_at_end(SpPauliStabiliser(qb, Pauli::X), 3);
 }
@@ -532,6 +592,22 @@ void UnitaryRevTableau::apply_V_at_end(const Qubit& qb) {
   tab_.apply_pauli_at_front(SpPauliStabiliser(qb, Pauli::X), 3);
 }
 
+void UnitaryRevTableau::apply_X_at_front(const Qubit& qb) {
+  tab_.apply_X_at_end(qb);
+}
+
+void UnitaryRevTableau::apply_X_at_end(const Qubit& qb) {
+  tab_.apply_X_at_front(qb);
+}
+
+void UnitaryRevTableau::apply_H_at_front(const Qubit& qb) {
+  tab_.apply_H_at_end(qb);
+}
+
+void UnitaryRevTableau::apply_H_at_end(const Qubit& qb) {
+  tab_.apply_H_at_front(qb);
+}
+
 void UnitaryRevTableau::apply_CX_at_front(
     const Qubit& control, const Qubit& target) {
   tab_.apply_CX_at_end(control, target);
@@ -544,14 +620,54 @@ void UnitaryRevTableau::apply_CX_at_end(
 
 void UnitaryRevTableau::apply_gate_at_front(
     OpType type, const qubit_vector_t& qbs) {
-  if (type != OpType::Phase)
-    tab_.apply_gate_at_end(get_op_ptr(type)->dagger()->get_type(), qbs);
+  // Handle types whose dagger is not an optype
+  switch (type) {
+    case OpType::ZZMax: {
+      tab_.apply_gate_at_end(OpType::ZZMax, qbs);
+      tab_.apply_gate_at_end(OpType::Z, {qbs.at(0)});
+      tab_.apply_gate_at_end(OpType::Z, {qbs.at(1)});
+      break;
+    }
+    case OpType::ISWAPMax: {
+      tab_.apply_gate_at_end(OpType::ISWAPMax, qbs);
+      tab_.apply_gate_at_end(OpType::Z, {qbs.at(0)});
+      tab_.apply_gate_at_end(OpType::Z, {qbs.at(1)});
+      break;
+    }
+    case OpType::Phase: {
+      break;
+    }
+    default: {
+      tab_.apply_gate_at_end(get_op_ptr(type)->dagger()->get_type(), qbs);
+      break;
+    }
+  }
 }
 
 void UnitaryRevTableau::apply_gate_at_end(
     OpType type, const qubit_vector_t& qbs) {
-  if (type != OpType::Phase)
-    tab_.apply_gate_at_front(get_op_ptr(type)->dagger()->get_type(), qbs);
+  // Handle types whose dagger is not an optype
+  switch (type) {
+    case OpType::ZZMax: {
+      tab_.apply_gate_at_front(OpType::ZZMax, qbs);
+      tab_.apply_gate_at_front(OpType::Z, {qbs.at(0)});
+      tab_.apply_gate_at_front(OpType::Z, {qbs.at(1)});
+      break;
+    }
+    case OpType::ISWAPMax: {
+      tab_.apply_gate_at_front(OpType::ISWAPMax, qbs);
+      tab_.apply_gate_at_front(OpType::Z, {qbs.at(0)});
+      tab_.apply_gate_at_front(OpType::Z, {qbs.at(1)});
+      break;
+    }
+    case OpType::Phase: {
+      break;
+    }
+    default: {
+      tab_.apply_gate_at_front(get_op_ptr(type)->dagger()->get_type(), qbs);
+      break;
+    }
+  }
 }
 
 void UnitaryRevTableau::apply_pauli_at_front(
@@ -593,16 +709,16 @@ std::ostream& operator<<(std::ostream& os, const UnitaryRevTableau& tab) {
   unsigned nqs = tab.tab_.qubits_.size();
   for (unsigned i = 0; i < nqs; ++i) {
     Qubit qi = tab.tab_.qubits_.right.at(i);
-    os << tab.tab_.tab_.xmat_.row(i) << "   " << tab.tab_.tab_.zmat_.row(i)
-       << "   " << tab.tab_.tab_.phase_(i) << "\t->\t"
+    os << tab.tab_.tab_.xmat.row(i) << "   " << tab.tab_.tab_.zmat.row(i)
+       << "   " << tab.tab_.tab_.phase(i) << "\t->\t"
        << "X@" << qi.repr() << std::endl;
   }
   os << "--" << std::endl;
   for (unsigned i = 0; i < nqs; ++i) {
     Qubit qi = tab.tab_.qubits_.right.at(i);
-    os << tab.tab_.tab_.xmat_.row(i + nqs) << "   "
-       << tab.tab_.tab_.zmat_.row(i + nqs) << "   "
-       << tab.tab_.tab_.phase_(i + nqs) << "\t->\t"
+    os << tab.tab_.tab_.xmat.row(i + nqs) << "   "
+       << tab.tab_.tab_.zmat.row(i + nqs) << "   "
+       << tab.tab_.tab_.phase(i + nqs) << "\t->\t"
        << "Z@" << qi.repr() << std::endl;
   }
   return os;
diff --git a/tket/src/Converters/ChoiMixTableauConverters.cpp b/tket/src/Converters/ChoiMixTableauConverters.cpp
index 5a57e16cc8..450cd9208c 100644
--- a/tket/src/Converters/ChoiMixTableauConverters.cpp
+++ b/tket/src/Converters/ChoiMixTableauConverters.cpp
@@ -13,7 +13,6 @@
 // limitations under the License.
 
 #include <boost/foreach.hpp>
-#include <stdexcept>
 
 #include "tket/Converters/Converters.hpp"
 #include "tket/Diagonalisation/Diagonalisation.hpp"
@@ -30,637 +29,729 @@ ChoiMixTableau circuit_to_cm_tableau(const Circuit& circ) {
     qubit_vector_t qbs = {args.begin(), args.end()};
     tab.apply_gate(com.get_op_ptr()->get_type(), qbs);
   }
+  tab.rename_qubits(
+      circ.implicit_qubit_permutation(),
+      ChoiMixTableau::TableauSegment::Output);
   for (const Qubit& q : circ.discarded_qubits()) {
     tab.discard_qubit(q);
   }
+  tab.canonical_column_order();
+  tab.gaussian_form();
   return tab;
 }
 
-std::pair<Circuit, unit_map_t> cm_tableau_to_circuit(const ChoiMixTableau& t) {
+struct ChoiMixBuilder {
   /**
-   * THE PLAN:
-   * We first identify and solve all post-selections by Gaussian elimination and
-   * diagonalisation of the input-only rows. This provides us with better
-   * guarantees about the form of the stabilizers generated by the remaining
-   * tableau - specifically that every possible stabilizer will involve at least
-   * some output portion, so out_qb will always be set in later sections of the
-   * synthesis. Diagonalisation of the input-only rows reduces them to just Z
-   * strings but not necessarily over a minimal number of qubits. This can be
-   * achieved by taking the Z matrix of these rows and performing row-wise
-   * Gaussian elimination. The leading 1s indicate which qubits we are isolating
-   * them onto and the rest gives the CXs required to reduce them to just the
-   * leading qubits. After all post-selections have been identified, we enter
-   * the main loop of handling all other inputs and reducing them one at a time
-   * to either an identity wire or Z-decoherence (OpType::Collapse) connected to
-   * an output, or to a discard. Let in_qb be this qubit to be solved. Pick a
-   * row containing X_in_qb (if one exists). Since it must contain some
-   * non-identity component in the output segment, we can pick one of these to
-   * be out_qb and apply unitary gates at the input and output to reduce the row
-   * to X_in_qb X_out_qb. We do the same with Z (if a row exists) to necessarily
-   * give Z_in_qb Z_out_qb by commutativity properties, or we pick out_qb here
-   * if no X row was found. If we had both an X row and a Z row, we have reduced
-   * it to an identity wire just fine. If we have only one of them, e.g. X_in_qb
-   * X_out_qb, we wish to make it the only row with X on either in_qb or out_qb
-   * to leave a decoherence channel. We note that any other row containing
-   * X_out_qb must have some other P_out2, since their combination cannot leave
-   * an empty output segment. So we can apply a unitary gate to eliminate the
-   * X_out_qb on the other row. By doing output-first gaussian elimination on
-   * the output sub-tableau ignoring the target row and X_out_qb column, for
-   * each such row with X_out_qb there is some other output column P_out2 for
-   * which it is the unique entry, so we can be sure that applying the unitary
-   * gate does not add X_out_qb onto other rows. Having this strategy available
-   * to make it the unique row with X_out_qb still allows us to make it the
-   * unique row with X_in_qb by row combinations. Once all rows with inputs have
-   * been eliminated, any unsolved inputs must have been discarded and the
-   * remaining tableau is an inverse diagonalisation tableau (only outputs).
+   * We will consider applying gates to either side of the tableau to reduce
+   * qubits down to one of a few simple states (identity, collapse, zero
+   * initialise, mixed initialised, post-selected, or discarded), allowing us to
+   * remove that qubit and continue until the tableau contains no qubits left.
+   * This gradually builds up a set of operations both before and after the
+   * working tableau. We should ask for the following combination of temporary
+   * states to compose to form a channel equivalent to that described by the
+   * input tableau:
+   * - in_circ: a unitary circuit (without implicit permutations)
+   * - post_selected: a set of post-selection actions to apply to the outputs of
+   * in_circ
+   * - discarded: a set of discard actions to apply to the outputs of in_circ
+   * - collapsed: a set of collapse actions to apply to the outputs of in_circ
+   * (i.e. decoherence in the Z basis)
+   * - tab: the remaining tableau still to be solved. Acting as an identity on
+   * any qubits not contained within tab
+   * - in_out_permutation: a permutation of the qubits, read as a map from the
+   * input qubit name to the output qubit it is sent to
+   * - zero_initialised: a set of initialisations of fresh output qubits
+   * (in_out_permutation may join these qubits onto input qubits that have been
+   * post-selected or discarded to reuse qubits)
+   * - mix_initialised: a set of initialisations of output qubits into
+   * maximally-mixed states (in_out_permutation may similarly join these onto
+   * input qubits no longer in use)
+   * - out_circ_tp: the transpose of a unitary circuit (without implicit
+   * permuations); we store this as the transpose so we can build it up in
+   * reverse
    */
+  Circuit in_circ;
+  std::set<Qubit> post_selected;
+  std::set<Qubit> discarded;
+  std::set<Qubit> collapsed;
+  ChoiMixTableau tab;
+  boost::bimap<Qubit, Qubit> in_out_permutation;
+  std::set<Qubit> zero_initialised;
+  std::set<Qubit> mix_initialised;
+  Circuit out_circ_tp;
+
+  // The CXConfigType preferred when invoking diagonalisation techniques
+  CXConfigType cx_config;
+
+  // Additional qubit names (distinct from qubits already on the respective
+  // segment of the tableau) than can be used for zero initialisations and
+  // post-selections when synthesising a unitary extension
+  qubit_vector_t unitary_init_names;
+  qubit_vector_t unitary_post_names;
+
+  // Initialises the builder with a tableau
+  explicit ChoiMixBuilder(const ChoiMixTableau& tab, CXConfigType cx_config);
+  // For synthesis of a unitary extension, initialises the builder with a
+  // tableau and some additional qubit names which the resulting circuit may
+  // optionally use, representing zero-initialised or post-selected qubits.
+  // These are the qubits on which we can freely add Zs to the rows of the given
+  // tableau to guarantee a unitary extension; none of these names should appear
+  // in tab
+  explicit ChoiMixBuilder(
+      const ChoiMixTableau& tab, CXConfigType cx_config,
+      const qubit_vector_t& init_names, const qubit_vector_t& post_names);
+
+  // Debug method: applies all staged operations back onto tab to provide the
+  // tableau that the synthesis result is currently aiming towards. In exact
+  // synthesis, this should remain invariant during synthesis. For synthesis of
+  // a unitary extension, this should at least span the rows of the original
+  // tableau up to additional Zs on spare input and output qubits.
+  ChoiMixTableau realised_tableau() const;
 
-  // Operate on a copy of the tableau to track the remainder as we extract gates
-  ChoiMixTableau tab(t);
+  /**
+   * STAGES OF SYNTHESIS
+   */
 
-  // Canonicalise tableau and perform output-first gaussian elimination to
-  // isolate post-selected subspace in lower rows
-  tab.canonical_column_order(ChoiMixTableau::TableauSegment::Output);
-  tab.gaussian_form();
+  // Match up pairs of generators that anti-commute in the input segment but
+  // commute with all others; such pairs of rows reduce to an identity wire
+  // between a pair of qubits; we solve this by pairwise Pauli reduction methods
+  void solve_id_subspace();
+  // After removing the identity subspace, all remaining rows mutually commute
+  // within each tableau segment; diagonalise each segment individually
+  void diagonalise_segments();
+  // Solve the post-selected subspace which has already been diagonalised
+  void solve_postselected_subspace();
+  // Solve the zero-initialised subspace which has already been diagonalised
+  void solve_initialised_subspace();
+  // All remaining rows are in the collapsed subspace (each row is the unique
+  // stabilizer passing through some Collapse gate); solve it
+  void solve_collapsed_subspace();
+
+  // Simplifies the tableau by removing qubits on which all rows have I; such
+  // qubits are either discarded inputs or mixed-initialised outputs
+  void remove_unused_qubits();
+  // For synthesis of a unitary extension, match up qubits from
+  // post-selected/zero-initialised with unitary_post_names/unitary_init_names
+  // and add them to in_out_permutation
+  void assign_init_post_names();
+  // Fill out in_out_permutation to map all qubits; this typically takes the
+  // form of a standard qubit reuse pattern (e.g. discard and reinitialise)
+  void assign_remaining_names();
+  // Once tab has been completely reduced to no rows and no qubits, compose the
+  // staged operations to build the output circuit and return the renaming map
+  // from output names of original tableau to the qubits of the returned circuit
+  // they are mapped to
+  std::pair<Circuit, qubit_map_t> output_circuit();
+  std::pair<Circuit, qubit_map_t> unitary_output_circuit();
+};
+
+std::pair<Circuit, qubit_map_t> cm_tableau_to_exact_circuit(
+    const ChoiMixTableau& tab, CXConfigType cx_config) {
+  ChoiMixBuilder builder(tab, cx_config);
+  builder.remove_unused_qubits();
+  builder.solve_id_subspace();
+  builder.diagonalise_segments();
+  builder.solve_postselected_subspace();
+  builder.solve_initialised_subspace();
+  builder.solve_collapsed_subspace();
+  builder.remove_unused_qubits();
+  builder.assign_remaining_names();
+  return builder.output_circuit();
+}
 
-  // Set up circuits for extracting gates into (in_circ is set up after
-  // diagonalising the post-selected subspace)
-  qubit_vector_t input_qubits, output_qubits;
+std::pair<Circuit, qubit_map_t> cm_tableau_to_unitary_extension_circuit(
+    const ChoiMixTableau& tab, const std::vector<Qubit>& init_names,
+    const std::vector<Qubit>& post_names, CXConfigType cx_config) {
+  ChoiMixBuilder builder(tab, cx_config, init_names, post_names);
+  builder.remove_unused_qubits();
+  builder.solve_id_subspace();
+  builder.diagonalise_segments();
+  builder.solve_postselected_subspace();
+  builder.solve_initialised_subspace();
+  builder.solve_collapsed_subspace();
+  builder.remove_unused_qubits();
+  builder.assign_init_post_names();
+  builder.assign_remaining_names();
+  return builder.unitary_output_circuit();
+}
+
+ChoiMixBuilder::ChoiMixBuilder(const ChoiMixTableau& t, CXConfigType cx)
+    : ChoiMixBuilder(t, cx, {}, {}) {}
+
+ChoiMixBuilder::ChoiMixBuilder(
+    const ChoiMixTableau& t, CXConfigType cx, const qubit_vector_t& inits,
+    const qubit_vector_t& posts)
+    : in_circ(),
+      post_selected(),
+      discarded(),
+      collapsed(),
+      tab(t),
+      in_out_permutation(),
+      zero_initialised(),
+      mix_initialised(),
+      out_circ_tp(),
+      cx_config(cx),
+      unitary_init_names(inits),
+      unitary_post_names(posts) {
   for (unsigned i = 0; i < tab.get_n_boundaries(); ++i) {
     ChoiMixTableau::col_key_t key = tab.col_index_.right.at(i);
     if (key.second == ChoiMixTableau::TableauSegment::Input)
-      input_qubits.push_back(key.first);
+      in_circ.add_qubit(key.first);
     else
-      output_qubits.push_back(key.first);
+      out_circ_tp.add_qubit(key.first);
   }
-  Circuit out_circ_tp(output_qubits, {});
-  unit_map_t join_permutation;
-  std::set<Qubit> post_selected;
-  std::map<Qubit, std::optional<unsigned>> in_x_row;
-  std::map<Qubit, std::optional<unsigned>> in_z_row;
-  boost::bimap<Qubit, Qubit> matched_qubits;
-
-  // Call diagonalisation methods to diagonalise post-selected subspace
-  std::list<SpSymPauliTensor> to_diag;
-  for (unsigned r = tab.get_n_rows(); r > 0;) {
-    --r;
-    ChoiMixTableau::row_tensor_t rten = tab.get_row(r);
-    if (rten.second.size() != 0) {
-      // Reached the rows with non-empty output segment
-      break;
-    }
-    // Else, we add the row to the subspace
-    to_diag.push_back(rten.first);
+  for (const Qubit& init_q : unitary_init_names) {
+    if (tab.col_index_.left.find(ChoiMixTableau::col_key_t{
+            init_q, ChoiMixTableau::TableauSegment::Input}) !=
+        tab.col_index_.left.end())
+      throw std::logic_error(
+          "Free qubit name for initialisation conflicts with existing live "
+          "input of ChoiMixTableau");
   }
-  unsigned post_selected_size = to_diag.size();
-  std::set<Qubit> diag_ins{input_qubits.begin(), input_qubits.end()};
-  Circuit in_circ = mutual_diagonalise(to_diag, diag_ins, CXConfigType::Tree);
-  // Extract the dagger of each gate in order from tab
-  for (const Command& com : in_circ) {
-    auto args = com.get_args();
-    qubit_vector_t qbs = {args.begin(), args.end()};
-    tab.apply_gate(
-        com.get_op_ptr()->dagger()->get_type(), qbs,
-        ChoiMixTableau::TableauSegment::Input);
+  for (const Qubit& post_q : unitary_post_names) {
+    if (tab.col_index_.left.find(ChoiMixTableau::col_key_t{
+            post_q, ChoiMixTableau::TableauSegment::Output}) !=
+        tab.col_index_.left.end())
+      throw std::logic_error(
+          "Free qubit name for post-selection conflicts with existing live "
+          "output of ChoiMixTableau");
   }
+}
 
-  // Diagonalised rows should still be at the bottom of the tableau - reduce
-  // them to a minimal set of qubits for post-selection by first reducing to
-  // upper echelon form
-  std::vector<std::pair<unsigned, unsigned>> row_ops =
-      gaussian_elimination_row_ops(
-          tab.tab_.zmat_.bottomRows(post_selected_size));
-  for (const std::pair<unsigned, unsigned>& op : row_ops) {
-    tab.tab_.row_mult(op.first, op.second);
-  }
-  // Obtain CX instructions as column operations
-  std::vector<std::pair<unsigned, unsigned>> col_ops =
-      gaussian_elimination_col_ops(
-          tab.tab_.zmat_.bottomRows(post_selected_size));
-  // These gates will also swap qubits to isolate the post-selections on the
-  // first few qubits - this is fine as can be cleaned up later with peephole
-  // optimisations
-  for (const std::pair<unsigned, unsigned>& op : col_ops) {
-    tab.tab_.apply_CX(op.first, op.second);
-    ChoiMixTableau::col_key_t ctrl = tab.col_index_.right.at(op.first);
-    ChoiMixTableau::col_key_t trgt = tab.col_index_.right.at(op.second);
-    in_circ.add_op<Qubit>(OpType::CX, {ctrl.first, trgt.first});
+ChoiMixTableau ChoiMixBuilder::realised_tableau() const {
+  ChoiMixTableau in_tab = circuit_to_cm_tableau(in_circ);
+  for (const Qubit& q : post_selected)
+    in_tab.post_select(q, ChoiMixTableau::TableauSegment::Output);
+  for (const Qubit& q : discarded)
+    in_tab.discard_qubit(q, ChoiMixTableau::TableauSegment::Output);
+  for (const Qubit& q : collapsed)
+    in_tab.collapse_qubit(q, ChoiMixTableau::TableauSegment::Output);
+  ChoiMixTableau out_tab = circuit_to_cm_tableau(out_circ_tp.transpose());
+  for (const Qubit& q : zero_initialised)
+    out_tab.post_select(q, ChoiMixTableau::TableauSegment::Input);
+  for (const Qubit& q : mix_initialised)
+    out_tab.discard_qubit(q, ChoiMixTableau::TableauSegment::Input);
+  qubit_map_t out_in_permutation{};
+  using perm_entry = boost::bimap<Qubit, Qubit>::left_const_reference;
+  BOOST_FOREACH (perm_entry entry, in_out_permutation.left) {
+    out_in_permutation.insert({entry.second, entry.first});
   }
+  out_tab.rename_qubits(
+      out_in_permutation, ChoiMixTableau::TableauSegment::Output);
+  return ChoiMixTableau::compose(ChoiMixTableau::compose(in_tab, tab), out_tab);
+}
 
-  // Post-select rows
-  // TODO Post-selection op is not yet available in tket - replace this once
-  // implemented; an implementation hint is provided below
-  if (post_selected_size != 0)
-    throw std::logic_error(
-        "Not yet implemented: post-selection required during ChoiMixTableau "
-        "synthesis");
-  // for (unsigned r = 0; r < post_selected_size; ++r) {
-  //   ChoiMixTableau::row_tensor_t row = tab.get_row(tab.get_n_rows() - 1);
-  //   if (row.second.string.map.size() != 0 || row.first.string.map.size() != 1
-  //   || row.first.string.map.begin()->second != Pauli::Z) throw
-  //   std::logic_error("Unexpected error during post-selection identification
-  //   in ChoiMixTableau synthesis"); Qubit post_selected_qb =
-  //   row.first.string.map.begin()->first; if (row.second.coeff == -1.)
-  //   in_circ.add_op<Qubit>(OpType::X, {post_selected_qb});
-  //   tab.remove_row(tab.get_n_rows() - 1);
-  //   post_selected.insert(post_selected_qb);
-  //   throw std::logic_error("Not yet implemented: post-selection required
-  //   during ChoiMixTableau synthesis");
-  // }
-
+void ChoiMixBuilder::solve_id_subspace() {
   // Input-first gaussian elimination to solve input-sides of remaining rows
   tab.canonical_column_order(ChoiMixTableau::TableauSegment::Input);
   tab.gaussian_form();
 
-  // Iterate through remaining inputs and reduce output portion to a single
-  // qubit
-  for (const Qubit& in_qb : input_qubits) {
-    // Skip post-selected qubits
-    if (post_selected.find(in_qb) != post_selected.end()) continue;
-
-    unsigned col = tab.col_index_.left.at(ChoiMixTableau::col_key_t{
-        in_qb, ChoiMixTableau::TableauSegment::Input});
-    std::optional<Qubit> out_qb = std::nullopt;
+  std::set<unsigned> solved_rows;
+  std::set<Qubit> solved_ins, solved_outs;
+  for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+    if (solved_rows.find(r) != solved_rows.end()) continue;
 
-    // Find the row with X_in_qb (if one exists)
-    std::optional<unsigned> x_row = std::nullopt;
-    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
-      if (tab.tab_.xmat_(r, col)) {
-        x_row = r;
-        break;
-      }
+    // Look for a row which anticommutes with row r over the inputs
+    std::list<unsigned> xcols, zcols;
+    for (unsigned c = 0; c < tab.get_n_inputs(); ++c) {
+      if (tab.tab_.xmat(r, c)) xcols.push_back(c);
+      if (tab.tab_.zmat(r, c)) zcols.push_back(c);
     }
-
-    if (x_row) {
-      // A possible optimisation could involve row multiplications to reduce the
-      // Hamming weight of the row before applying gates, but minimising this
-      // would solve minimum weight/distance of a binary linear code whose
-      // decision problem is NP-complete (shown by Vardy, "The intractability of
-      // computing the minimum distance of a code", 1997). Just settle on using
-      // the first row for now, reducing the input and output to a single qubit
-      ChoiMixTableau::row_tensor_t row_paulis = tab.get_row(*x_row);
-      for (const std::pair<const Qubit, Pauli>& p : row_paulis.second.string) {
-        if (matched_qubits.right.find(p.first) == matched_qubits.right.end()) {
-          out_qb = p.first;
-          matched_qubits.insert({in_qb, *out_qb});
-          break;
-        }
+    for (unsigned r2 = r + 1; r2 < tab.get_n_rows(); ++r2) {
+      if (solved_rows.find(r2) != solved_rows.end()) continue;
+      bool anti = false;
+      for (const unsigned c : xcols) anti ^= tab.tab_.zmat(r2, c);
+      for (const unsigned c : zcols) anti ^= tab.tab_.xmat(r2, c);
+      if (!anti) continue;
+
+      // Found a candidate pair of rows. Because of the Gaussian elimination, it
+      // is more likely that the first mismatching qubit is X for r and Z for
+      // r2, so favour reducing r2 to Z and r to X
+      ChoiMixTableau::row_tensor_t row_r = tab.get_row(r);
+      ChoiMixTableau::row_tensor_t row_r2 = tab.get_row(r2);
+      std::pair<Circuit, Qubit> in_diag_circ =
+          reduce_anticommuting_paulis_to_z_x(
+              row_r2.first, row_r.first, cx_config);
+      in_circ.append(in_diag_circ.first);
+      for (const Command& com : in_diag_circ.first) {
+        auto args = com.get_args();
+        qubit_vector_t qbs = {args.begin(), args.end()};
+        tab.apply_gate(
+            com.get_op_ptr()->dagger()->get_type(), qbs,
+            ChoiMixTableau::TableauSegment::Input);
       }
 
-      // Reduce input string to just X_in_qb
-      if (row_paulis.first.get(in_qb) == Pauli::Y) {
-        // If it is a Y, extract an Sdg gate so the Pauli is exactly X
-        in_circ.add_op<Qubit>(OpType::Sdg, {in_qb});
-        tab.apply_S(in_qb, ChoiMixTableau::TableauSegment::Input);
-      }
-      for (const std::pair<const Qubit, Pauli>& qbp : row_paulis.first.string) {
-        if (qbp.first == in_qb) continue;
-        // Extract an entangling gate to eliminate the qubit
-        switch (qbp.second) {
-          case Pauli::X: {
-            in_circ.add_op<Qubit>(OpType::CX, {in_qb, qbp.first});
-            tab.apply_CX(
-                in_qb, qbp.first, ChoiMixTableau::TableauSegment::Input);
-            break;
-          }
-          case Pauli::Y: {
-            in_circ.add_op<Qubit>(OpType::CY, {in_qb, qbp.first});
-            tab.apply_gate(
-                OpType::CY, {in_qb, qbp.first},
-                ChoiMixTableau::TableauSegment::Input);
-            break;
-          }
-          case Pauli::Z: {
-            in_circ.add_op<Qubit>(OpType::CZ, {in_qb, qbp.first});
-            tab.apply_gate(
-                OpType::CZ, {in_qb, qbp.first},
-                ChoiMixTableau::TableauSegment::Input);
-            break;
-          }
-          default: {
-            break;
-          }
-        }
+      // Since the full rows must commute but they anticommute over the inputs,
+      // they must also anticommute over the outputs; we similarly reduce these
+      // down to Z and X
+      std::pair<Circuit, Qubit> out_diag_circ_dag =
+          reduce_anticommuting_paulis_to_z_x(
+              row_r2.second, row_r.second, cx_config);
+      out_circ_tp.append(out_diag_circ_dag.first.dagger().transpose());
+      for (const Command& com : out_diag_circ_dag.first) {
+        auto args = com.get_args();
+        qubit_vector_t qbs = {args.begin(), args.end()};
+        tab.apply_gate(
+            com.get_op_ptr()->get_type(), qbs,
+            ChoiMixTableau::TableauSegment::Output);
       }
 
-      // And then the same for X_out_qb
-      if (row_paulis.second.get(*out_qb) == Pauli::Y) {
-        // If it is a Y, extract an Sdg gate so the Pauli is exactly X
-        out_circ_tp.add_op<Qubit>(OpType::Sdg, {*out_qb});
-        tab.apply_S(*out_qb, ChoiMixTableau::TableauSegment::Output);
-      } else if (row_paulis.second.get(*out_qb) == Pauli::Z) {
-        // If it is a Z, extract an Vdg and Sdg gate so the Pauli is exactly X
-        out_circ_tp.add_op<Qubit>(OpType::Vdg, {*out_qb});
-        out_circ_tp.add_op<Qubit>(OpType::Sdg, {*out_qb});
-        tab.apply_V(*out_qb, ChoiMixTableau::TableauSegment::Output);
-        tab.apply_S(*out_qb, ChoiMixTableau::TableauSegment::Output);
+      // Check that rows have been successfully reduced
+      row_r = tab.get_row(r);
+      row_r2 = tab.get_row(r2);
+      if (row_r.first.size() != 1 ||
+          row_r.first.string.begin()->second != Pauli::X ||
+          row_r.second.size() != 1 ||
+          row_r.second.string.begin()->second != Pauli::X ||
+          row_r2.first.size() != 1 ||
+          row_r2.first.string.begin()->second != Pauli::Z ||
+          row_r2.second.size() != 1 ||
+          row_r2.second.string.begin()->second != Pauli::Z)
+        throw std::logic_error(
+            "Unexpected error during identity reduction in ChoiMixTableau "
+            "synthesis");
+      // Solve phases
+      if (row_r.second.is_real_negative()) {
+        in_circ.add_op<Qubit>(OpType::Z, {in_diag_circ.second});
+        tab.apply_gate(
+            OpType::Z, {in_diag_circ.second},
+            ChoiMixTableau::TableauSegment::Input);
       }
-      for (const std::pair<const Qubit, Pauli>& qbp :
-           row_paulis.second.string) {
-        if (qbp.first == *out_qb) continue;
-        // Extract an entangling gate to eliminate the qubit
-        switch (qbp.second) {
-          case Pauli::X: {
-            out_circ_tp.add_op<Qubit>(OpType::CX, {*out_qb, qbp.first});
-            tab.apply_CX(
-                *out_qb, qbp.first, ChoiMixTableau::TableauSegment::Output);
-            break;
-          }
-          case Pauli::Y: {
-            // CY does not have a transpose OpType defined so decompose
-            out_circ_tp.add_op<Qubit>(OpType::S, {qbp.first});
-            out_circ_tp.add_op<Qubit>(OpType::CX, {*out_qb, qbp.first});
-            out_circ_tp.add_op<Qubit>(OpType::Sdg, {qbp.first});
-            tab.apply_gate(
-                OpType::CY, {*out_qb, qbp.first},
-                ChoiMixTableau::TableauSegment::Output);
-            break;
-          }
-          case Pauli::Z: {
-            out_circ_tp.add_op<Qubit>(OpType::CZ, {*out_qb, qbp.first});
-            tab.apply_gate(
-                OpType::CZ, {*out_qb, qbp.first},
-                ChoiMixTableau::TableauSegment::Output);
-            break;
-          }
-          default: {
-            break;
-          }
-        }
+      if (row_r2.second.is_real_negative()) {
+        in_circ.add_op<Qubit>(OpType::X, {in_diag_circ.second});
+        tab.apply_gate(
+            OpType::X, {in_diag_circ.second},
+            ChoiMixTableau::TableauSegment::Input);
       }
-    }
-
-    // Find the row with Z_in_qb (if one exists)
-    std::optional<unsigned> z_row = std::nullopt;
-    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
-      if (tab.tab_.zmat_(r, col)) {
-        z_row = r;
-        break;
+      // Connect in permutation
+      in_out_permutation.insert(
+          {in_diag_circ.second, out_diag_circ_dag.second});
+      solved_rows.insert(r);
+      solved_rows.insert(r2);
+
+      // Remove these solved qubits from other rows; by commutation of rows, a
+      // row contains Z@in_diag_circ.second iff it contains
+      // Z@out_diag_circ_dag.second and similarly for X
+      unsigned in_c = tab.col_index_.left.at(ChoiMixTableau::col_key_t{
+          in_diag_circ.second, ChoiMixTableau::TableauSegment::Input});
+      for (unsigned r3 = 0; r3 < tab.get_n_rows(); ++r3) {
+        if (r3 != r && tab.tab_.xmat(r3, in_c)) tab.tab_.row_mult(r, r3);
+        if (r3 != r2 && tab.tab_.zmat(r3, in_c)) tab.tab_.row_mult(r2, r3);
       }
-    }
-    if (z_row) {
-      // If both an X and Z row exist, then out_qb should have a
-      // value and the rows should have anticommuting Paulis on out_qb to
-      // preserve commutativity of rows
-      ChoiMixTableau::row_tensor_t row_paulis = tab.get_row(*z_row);
-      if (!x_row) {
-        for (const std::pair<const Qubit, Pauli>& p :
-             row_paulis.second.string) {
-          if (matched_qubits.right.find(p.first) ==
-              matched_qubits.right.end()) {
-            out_qb = p.first;
-            matched_qubits.insert({in_qb, *out_qb});
-            break;
-          }
-        }
-      }
-
-      // Reduce input string to just Z_in_qb.
-      // No need to consider different paulis on in_qb: if we had X or Y, this
-      // row would have been identified as x_row instead of Z row, and if
-      // another row was already chosen as x_row then canonical gaussian form
-      // would imply all other rows do not contain X_in_qb or Y_in_qb
-      for (const std::pair<const Qubit, Pauli>& qbp : row_paulis.first.string) {
-        if (qbp.first == in_qb) continue;
-        // Extract an entangling gate to eliminate the qubit
-        switch (qbp.second) {
-          case Pauli::X: {
-            in_circ.add_op<Qubit>(OpType::H, {qbp.first});
-            in_circ.add_op<Qubit>(OpType::CX, {qbp.first, in_qb});
-            tab.apply_gate(
-                OpType::H, {qbp.first}, ChoiMixTableau::TableauSegment::Input);
-            tab.apply_CX(
-                qbp.first, in_qb, ChoiMixTableau::TableauSegment::Input);
-            break;
-          }
-          case Pauli::Y: {
-            in_circ.add_op<Qubit>(OpType::Vdg, {qbp.first});
-            in_circ.add_op<Qubit>(OpType::CX, {qbp.first, in_qb});
-            tab.apply_V(qbp.first, ChoiMixTableau::TableauSegment::Input);
-            tab.apply_CX(
-                qbp.first, in_qb, ChoiMixTableau::TableauSegment::Input);
-            break;
-          }
-          case Pauli::Z: {
-            in_circ.add_op<Qubit>(OpType::CX, {qbp.first, in_qb});
-            tab.apply_CX(
-                qbp.first, in_qb, ChoiMixTableau::TableauSegment::Input);
-            break;
-          }
-          default: {
-            break;
-          }
-        }
-      }
-
-      // And then reduce output string to just Z_out_qb
-      if (row_paulis.second.get(*out_qb) == Pauli::Y) {
-        // If it is a Y, extract a Vdg gate so the Pauli is exactly Z
-        out_circ_tp.add_op<Qubit>(OpType::Vdg, {*out_qb});
-        tab.apply_V(*out_qb, ChoiMixTableau::TableauSegment::Output);
-      } else if (row_paulis.second.get(*out_qb) == Pauli::X) {
-        // If it is an X, extract an Sdg and Vdg gate so the Pauli is exactly Z
-        // We do not need to care about messing up the X row here since if we
-        // solved an X row then this row can't also have X by commutativity
-        out_circ_tp.add_op<Qubit>(OpType::Sdg, {*out_qb});
-        out_circ_tp.add_op<Qubit>(OpType::Vdg, {*out_qb});
-        tab.apply_S(*out_qb, ChoiMixTableau::TableauSegment::Output);
-        tab.apply_V(*out_qb, ChoiMixTableau::TableauSegment::Output);
-      }
-      for (const std::pair<const Qubit, Pauli>& qbp :
-           row_paulis.second.string) {
-        if (qbp.first == *out_qb) continue;
-        // Extract an entangling gate to eliminate the qubit
-        switch (qbp.second) {
-          case Pauli::X: {
-            out_circ_tp.add_op<Qubit>(OpType::H, {qbp.first});
-            out_circ_tp.add_op<Qubit>(OpType::CX, {qbp.first, *out_qb});
-            tab.apply_gate(
-                OpType::H, {qbp.first}, ChoiMixTableau::TableauSegment::Output);
-            tab.apply_CX(
-                qbp.first, *out_qb, ChoiMixTableau::TableauSegment::Output);
-            break;
-          }
-          case Pauli::Y: {
-            out_circ_tp.add_op<Qubit>(OpType::Vdg, {qbp.first});
-            out_circ_tp.add_op<Qubit>(OpType::CX, {qbp.first, *out_qb});
-            tab.apply_V(qbp.first, ChoiMixTableau::TableauSegment::Output);
-            tab.apply_CX(
-                qbp.first, *out_qb, ChoiMixTableau::TableauSegment::Output);
-            break;
-          }
-          case Pauli::Z: {
-            out_circ_tp.add_op<Qubit>(OpType::CX, {qbp.first, *out_qb});
-            tab.apply_CX(
-                qbp.first, *out_qb, ChoiMixTableau::TableauSegment::Output);
-            break;
-          }
-          default: {
-            break;
-          }
-        }
-      }
-    }
-
-    in_x_row.insert({in_qb, x_row});
-    in_z_row.insert({in_qb, z_row});
-  }
-
-  // X and Z row are guaranteed to be the unique rows with X_in_qb and Z_in_qb.
-  // If the Z row exists, then all rows must commute with Z_in_qb Z_out_qb, so
-  // if any row has X_out_qb it must also have X_in_qb. Hence if both exist then
-  // the X row is also the unique row with X_out_qb, and by similar argument the
-  // Z row is the unique row with Z_out_qb. However, if only one row exists,
-  // this uniqueness may not hold but can be forced by applying some unitary
-  // gates to eliminate e.g. Z_out_qb from all other rows. We use a gaussian
-  // elimination subroutine to identify a combination of gates that won't add
-  // Z_out_qb onto other qubits. Since we have already removed them from all
-  // other rows containing input components, we only need to consider the
-  // output-only rows, which all exist at the bottom of the tableau.
-  unsigned out_stabs = 0;
-  while (out_stabs < tab.get_n_rows()) {
-    ChoiMixTableau::row_tensor_t rten =
-        tab.get_row(tab.get_n_rows() - 1 - out_stabs);
-    if (rten.first.size() != 0) {
-      // Reached the rows with non-empty input segment
+      solved_ins.insert({in_diag_circ.second});
+      solved_outs.insert({out_diag_circ_dag.second});
       break;
     }
-    ++out_stabs;
-  }
-  MatrixXb out_rows = MatrixXb::Zero(out_stabs, 2 * output_qubits.size());
-  out_rows(Eigen::all, Eigen::seq(0, Eigen::last, 2)) = tab.tab_.xmat_.block(
-      tab.get_n_rows() - out_stabs, input_qubits.size(), out_stabs,
-      output_qubits.size());
-  out_rows(Eigen::all, Eigen::seq(1, Eigen::last, 2)) = tab.tab_.zmat_.block(
-      tab.get_n_rows() - out_stabs, input_qubits.size(), out_stabs,
-      output_qubits.size());
-  // Identify other qubits to apply gates to for removing the extra matched
-  // output terms
-  MatrixXb unmatched_outs = MatrixXb::Zero(
-      out_stabs, 2 * (output_qubits.size() - matched_qubits.size()));
-  std::vector<std::pair<Qubit, Pauli>> col_lookup;
-  for (unsigned out_col = 0; out_col < output_qubits.size(); ++out_col) {
-    unsigned tab_col = input_qubits.size() + out_col;
-    Qubit out_qb = tab.col_index_.right.at(tab_col).first;
-    if (matched_qubits.right.find(out_qb) != matched_qubits.right.end())
-      continue;
-    unmatched_outs.col(col_lookup.size()) = out_rows.col(2 * out_col);
-    col_lookup.push_back({out_qb, Pauli::X});
-    unmatched_outs.col(col_lookup.size()) = out_rows.col(2 * out_col + 1);
-    col_lookup.push_back({out_qb, Pauli::Z});
-  }
-  row_ops = gaussian_elimination_row_ops(unmatched_outs);
-  for (const std::pair<unsigned, unsigned>& op : row_ops) {
-    for (unsigned c = 0; c < unmatched_outs.cols(); ++c) {
-      unmatched_outs(op.second, c) =
-          unmatched_outs(op.second, c) ^ unmatched_outs(op.first, c);
-    }
-    tab.tab_.row_mult(
-        tab.get_n_rows() - out_stabs + op.first,
-        tab.get_n_rows() - out_stabs + op.second);
-  }
-  // Go through the output-only rows and remove terms from matched qubits
-  for (unsigned r = 0; r < out_stabs; ++r) {
-    unsigned leading_col = 0;
-    for (unsigned c = 0; c < unmatched_outs.cols(); ++c) {
-      if (unmatched_outs(r, c)) {
-        leading_col = c;
-        break;
-      }
-    }
-    std::pair<Qubit, Pauli> alternate_qb = col_lookup.at(leading_col);
-
-    if (alternate_qb.second != Pauli::X) {
-      // Make the alternate point of contact X so we only need one set of rule
-      // for eliminating Paulis
-      tab.apply_gate(
-          OpType::H, {alternate_qb.first},
-          ChoiMixTableau::TableauSegment::Output);
-      out_circ_tp.add_op<Qubit>(OpType::H, {alternate_qb.first});
-    }
-
-    ChoiMixTableau::row_tensor_t row_paulis =
-        tab.get_row(tab.get_n_rows() - out_stabs + r);
-
-    for (const std::pair<const Qubit, Pauli>& qbp : row_paulis.second.string) {
-      if (matched_qubits.right.find(qbp.first) == matched_qubits.right.end())
-        continue;
-      // Alternate point is guaranteed to be unmatched, so always needs an
-      // entangling gate
-      switch (qbp.second) {
-        case Pauli::X: {
-          out_circ_tp.add_op<Qubit>(
-              OpType::CX, {alternate_qb.first, qbp.first});
-          tab.apply_CX(
-              alternate_qb.first, qbp.first,
-              ChoiMixTableau::TableauSegment::Output);
-          break;
-        }
-        case Pauli::Z: {
-          out_circ_tp.add_op<Qubit>(
-              OpType::CZ, {alternate_qb.first, qbp.first});
-          tab.apply_gate(
-              OpType::CZ, {alternate_qb.first, qbp.first},
-              ChoiMixTableau::TableauSegment::Output);
-          break;
-        }
-        default: {
-          // Don't have to care about Y since any matched qubit has a row that
-          // is reduced to either X or Z and all other rows must commute with
-          // that
-          break;
-        }
-      }
-    }
   }
 
-  // Now that X_in_qb X_out_qb (or Zs) is the unique row for each of X_in_qb and
-  // X_out_qb, we can actually link up the qubit wires and remove the rows
-  for (const Qubit& in_qb : input_qubits) {
-    if (post_selected.find(in_qb) != post_selected.end()) continue;
-
-    std::optional<unsigned> x_row = in_x_row.at(in_qb);
-    std::optional<unsigned> z_row = in_z_row.at(in_qb);
-    auto found = matched_qubits.left.find(in_qb);
-    std::optional<Qubit> out_qb = (found == matched_qubits.left.end())
-                                      ? std::nullopt
-                                      : std::optional<Qubit>{found->second};
-    // Handle phases and resolve qubit connections
-    if (x_row) {
-      if (z_row) {
-        // Hook up with an identity wire
-        if (tab.tab_.phase_(*z_row)) in_circ.add_op<Qubit>(OpType::X, {in_qb});
-        if (tab.tab_.phase_(*x_row)) in_circ.add_op<Qubit>(OpType::Z, {in_qb});
-        join_permutation.insert({*out_qb, in_qb});
-      } else {
-        // Just an X row, so must be connected to out_qb via a decoherence
-        if (tab.tab_.phase_(*x_row)) in_circ.add_op<Qubit>(OpType::Z, {in_qb});
-        in_circ.add_op<Qubit>(OpType::H, {in_qb});
-        in_circ.add_op<Qubit>(OpType::Collapse, {in_qb});
-        in_circ.add_op<Qubit>(OpType::H, {in_qb});
-        join_permutation.insert({*out_qb, in_qb});
-      }
-    } else {
-      if (z_row) {
-        // Just a Z row, so must be connected to out_qb via a decoherence
-        if (tab.tab_.phase_(*z_row)) in_circ.add_op<Qubit>(OpType::X, {in_qb});
-        in_circ.add_op<Qubit>(OpType::Collapse, {in_qb});
-        join_permutation.insert({*out_qb, in_qb});
-      } else {
-        // No rows involving this input, so it is discarded
-        in_circ.qubit_discard(in_qb);
+  // Remove solved rows and qubits from tableau; since removing rows/columns
+  // replaces them with the row/column from the end, remove in reverse order
+  for (auto it = solved_rows.rbegin(); it != solved_rows.rend(); ++it)
+    tab.remove_row(*it);
+  for (auto it = solved_ins.rbegin(); it != solved_ins.rend(); ++it)
+    tab.discard_qubit(*it, ChoiMixTableau::TableauSegment::Input);
+  for (auto it = solved_outs.rbegin(); it != solved_outs.rend(); ++it)
+    tab.discard_qubit(*it, ChoiMixTableau::TableauSegment::Output);
+}
+
+// Given a matrix that is already in upper echelon form, use the fact that the
+// leading columns are already unique to give column operations that reduce it
+// down to identity over the leading columns, eliminating extra swap gates to
+// move to the first spaces
+static std::vector<std::pair<unsigned, unsigned>>
+leading_column_gaussian_col_ops(const MatrixXb& source) {
+  std::vector<unsigned> col_list;
+  std::set<unsigned> non_leads;
+  for (unsigned r = 0; r < source.rows(); ++r) {
+    bool leading_found = false;
+    for (unsigned c = 0; c < source.cols(); ++c) {
+      if (source(r, c)) {
+        if (leading_found)
+          non_leads.insert(c);
+        else {
+          leading_found = true;
+          col_list.push_back(c);
+        }
       }
     }
   }
+  for (const unsigned& c : non_leads) col_list.push_back(c);
+  MatrixXb reordered = MatrixXb::Zero(source.rows(), col_list.size());
+  for (unsigned c = 0; c < col_list.size(); ++c)
+    reordered.col(c) = source.col(col_list.at(c));
+  std::vector<std::pair<unsigned, unsigned>> reordered_ops =
+      gaussian_elimination_col_ops(reordered);
+  std::vector<std::pair<unsigned, unsigned>> res;
+  for (const std::pair<unsigned, unsigned>& op : reordered_ops)
+    res.push_back({col_list.at(op.first), col_list.at(op.second)});
+  return res;
+}
 
-  // Remove rows with inputs from the tableau
-  tab.tab_ = SymplecticTableau(
-      tab.tab_.xmat_.bottomRows(out_stabs),
-      tab.tab_.zmat_.bottomRows(out_stabs), tab.tab_.phase_.tail(out_stabs));
-
-  // Can't use a template with multiple parameters within a macro since the
-  // comma will register as an argument delimiter for the macro
-  using match_entry = boost::bimap<Qubit, Qubit>::left_const_reference;
-  BOOST_FOREACH (match_entry entry, matched_qubits.left) {
-    tab.discard_qubit(entry.first, ChoiMixTableau::TableauSegment::Input);
-    tab.discard_qubit(entry.second, ChoiMixTableau::TableauSegment::Output);
-  }
+void ChoiMixBuilder::diagonalise_segments() {
+  // Canonicalise tableau
   tab.canonical_column_order(ChoiMixTableau::TableauSegment::Output);
+  tab.gaussian_form();
 
-  // Only remaining rows must be completely over the outputs. Call
-  // diagonalisation methods to diagonalise coherent subspace
-  to_diag.clear();
+  // Set up diagonalisation tasks
+  std::list<SpSymPauliTensor> to_diag_ins, to_diag_outs;
   for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
     ChoiMixTableau::row_tensor_t rten = tab.get_row(r);
-    to_diag.push_back(rten.second);
+    if (!rten.first.string.empty()) to_diag_ins.push_back(rten.first);
+    if (!rten.second.string.empty()) to_diag_outs.push_back(rten.second);
   }
-  std::set<Qubit> diag_outs;
-  for (const Qubit& out : output_qubits) {
-    if (matched_qubits.right.find(out) == matched_qubits.right.end())
-      diag_outs.insert(out);
+  qubit_vector_t input_qubits = tab.input_qubits();
+  std::set<Qubit> diag_ins{input_qubits.begin(), input_qubits.end()};
+  Circuit in_diag_circ = mutual_diagonalise(to_diag_ins, diag_ins, cx_config);
+  for (const Command& com : in_diag_circ) {
+    auto args = com.get_args();
+    in_circ.add_op<UnitID>(com.get_op_ptr(), args);
+    qubit_vector_t qbs = {args.begin(), args.end()};
+    tab.apply_gate(
+        com.get_op_ptr()->dagger()->get_type(), qbs,
+        ChoiMixTableau::TableauSegment::Input);
   }
+  qubit_vector_t output_qubits = tab.output_qubits();
+  std::set<Qubit> diag_outs{output_qubits.begin(), output_qubits.end()};
   Circuit out_diag_circ =
-      mutual_diagonalise(to_diag, diag_outs, CXConfigType::Tree);
-  // Extract the dagger of each gate in order from tab
+      mutual_diagonalise(to_diag_outs, diag_outs, cx_config);
   for (const Command& com : out_diag_circ) {
     auto args = com.get_args();
+    out_circ_tp.add_op<UnitID>(com.get_op_ptr()->dagger()->transpose(), args);
     qubit_vector_t qbs = {args.begin(), args.end()};
-    tab.apply_gate(com.get_op_ptr()->get_type(), qbs);
-    out_circ_tp.add_op<Qubit>(com.get_op_ptr()->transpose()->dagger(), qbs);
+    tab.apply_gate(
+        com.get_op_ptr()->get_type(), qbs,
+        ChoiMixTableau::TableauSegment::Output);
   }
 
-  // All rows are diagonalised so we can just focus on the Z matrix. Reduce them
-  // to a minimal set of qubits for initialisation by first reducing to upper
-  // echelon form
-  row_ops = gaussian_elimination_row_ops(tab.tab_.zmat_);
-  for (const std::pair<unsigned, unsigned>& op : row_ops) {
-    tab.tab_.row_mult(op.first, op.second);
+  // All rows are diagonalised, so we can just focus on the Z matrix
+  if (tab.tab_.xmat != MatrixXb::Zero(tab.get_n_rows(), tab.get_n_boundaries()))
+    throw std::logic_error(
+        "Diagonalisation in ChoiMixTableau synthesis failed");
+}
+
+void ChoiMixBuilder::solve_postselected_subspace() {
+  // As column order is currently output first, gaussian form will reveal the
+  // post-selected space at the bottom of the tableau and the submatrix of those
+  // rows will already be in upper echelon form
+  tab.gaussian_form();
+  // Reduce them to a minimal set of qubits using CX gates
+  unsigned n_postselected = 0;
+  for (; n_postselected < tab.get_n_rows(); ++n_postselected) {
+    if (!tab.get_row(tab.get_n_rows() - 1 - n_postselected)
+             .second.string.empty())
+      break;
   }
-  // Obtain CX instructions as column operations
-  col_ops = gaussian_elimination_col_ops(tab.tab_.zmat_);
+  unsigned n_ins = tab.get_n_inputs();
+  unsigned n_outs = tab.get_n_outputs();
+  MatrixXb subtableau = tab.tab_.zmat.bottomRightCorner(n_postselected, n_ins);
+  std::vector<std::pair<unsigned, unsigned>> col_ops =
+      leading_column_gaussian_col_ops(subtableau);
   for (const std::pair<unsigned, unsigned>& op : col_ops) {
-    tab.tab_.apply_CX(op.second, op.first);
-    ChoiMixTableau::col_key_t ctrl = tab.col_index_.right.at(op.second);
-    ChoiMixTableau::col_key_t trgt = tab.col_index_.right.at(op.first);
-    out_circ_tp.add_op<Qubit>(OpType::CX, {ctrl.first, trgt.first});
+    unsigned tab_ctrl_col = n_outs + op.second;
+    unsigned tab_trgt_col = n_outs + op.first;
+    tab.tab_.apply_CX(tab_ctrl_col, tab_trgt_col);
+    ChoiMixTableau::col_key_t ctrl = tab.col_index_.right.at(tab_ctrl_col);
+    ChoiMixTableau::col_key_t trgt = tab.col_index_.right.at(tab_trgt_col);
+    in_circ.add_op<Qubit>(OpType::CX, {ctrl.first, trgt.first});
   }
+  // Postselect rows
+  for (unsigned r = 0; r < n_postselected; ++r) {
+    unsigned final_row = tab.get_n_rows() - 1;
+    ChoiMixTableau::row_tensor_t row = tab.get_row(final_row);
+    if (row.second.size() != 0 || row.first.size() != 1 ||
+        row.first.string.begin()->second != Pauli::Z)
+      throw std::logic_error(
+          "Unexpected error during post-selection identification in "
+          "ChoiMixTableau synthesis");
+    Qubit post_selected_qb = row.first.string.begin()->first;
+    // Multiply other rows to remove Z_qb components
+    unsigned qb_col = tab.col_index_.left.at(ChoiMixTableau::col_key_t{
+        post_selected_qb, ChoiMixTableau::TableauSegment::Input});
+    for (unsigned s = 0; s < final_row; ++s)
+      if (tab.tab_.zmat(s, qb_col)) tab.tab_.row_mult(final_row, s);
+    // Post-select on correct phase
+    if (row.second.is_real_negative())
+      in_circ.add_op<Qubit>(OpType::X, {post_selected_qb});
+    tab.remove_row(final_row);
+    post_selected.insert(post_selected_qb);
+    tab.discard_qubit(post_selected_qb, ChoiMixTableau::TableauSegment::Input);
+  }
+}
 
-  // Fix phases of zero_initialised qubits
-  std::set<Qubit> zero_initialised;
-  Circuit out_circ(output_qubits, {});
-  for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+void ChoiMixBuilder::solve_initialised_subspace() {
+  // Input-first gaussian elimination now sorts the remaining rows into the
+  // collapsed subspace followed by the zero-initialised subspace and the
+  // collapsed subspace rows are in upper echelon form over the inputs, giving
+  // unique leading columns and allowing us to solve them with CXs by
+  // column-wise gaussian elimination; same for zero-initialised rows over the
+  // outputs
+  tab.canonical_column_order(ChoiMixTableau::TableauSegment::Input);
+  tab.gaussian_form();
+
+  // Reduce the zero-initialised space to a minimal set of qubits using CX gates
+  unsigned n_collapsed = 0;
+  for (; n_collapsed < tab.get_n_rows(); ++n_collapsed) {
+    if (tab.get_row(n_collapsed).first.string.empty()) break;
+  }
+  unsigned n_ins = tab.get_n_inputs();
+  unsigned n_outs = tab.get_n_outputs();
+  MatrixXb subtableau =
+      tab.tab_.zmat.bottomRightCorner(tab.get_n_rows() - n_collapsed, n_outs);
+  std::vector<std::pair<unsigned, unsigned>> col_ops =
+      leading_column_gaussian_col_ops(subtableau);
+  for (const std::pair<unsigned, unsigned>& op : col_ops) {
+    unsigned tab_ctrl_col = n_ins + op.second;
+    unsigned tab_trgt_col = n_ins + op.first;
+    tab.tab_.apply_CX(tab_ctrl_col, tab_trgt_col);
+    ChoiMixTableau::col_key_t ctrl = tab.col_index_.right.at(tab_ctrl_col);
+    ChoiMixTableau::col_key_t trgt = tab.col_index_.right.at(tab_trgt_col);
+    out_circ_tp.add_op<Qubit>(OpType::CX, {ctrl.first, trgt.first});
+  }
+  // Initialise rows
+  for (unsigned r = tab.get_n_rows(); r-- > n_collapsed;) {
+    // r always refers to the final row in the tableau
     ChoiMixTableau::row_tensor_t row = tab.get_row(r);
     if (row.first.size() != 0 || row.second.size() != 1 ||
         row.second.string.begin()->second != Pauli::Z)
       throw std::logic_error(
-          "Unexpected error during zero initialisation in ChoiMixTableau "
-          "synthesis");
+          "Unexpected error during initialisation identification in "
+          "ChoiMixTableau synthesis");
     Qubit initialised_qb = row.second.string.begin()->first;
-    out_circ.qubit_create(initialised_qb);
-    if (row.second.is_real_negative()) {
-      out_circ.add_op<Qubit>(OpType::X, {initialised_qb});
-    }
+    // Multiply other rows to remove Z_qb components
+    unsigned qb_col = tab.col_index_.left.at(ChoiMixTableau::col_key_t{
+        initialised_qb, ChoiMixTableau::TableauSegment::Output});
+    for (unsigned s = 0; s < r; ++s)
+      if (tab.tab_.zmat(s, qb_col)) tab.tab_.row_mult(r, s);
+    // Initialise with correct phase
+    if (row.second.is_real_negative())
+      out_circ_tp.add_op<Qubit>(OpType::X, {initialised_qb});
+    tab.remove_row(r);
     zero_initialised.insert(initialised_qb);
+    tab.discard_qubit(initialised_qb, ChoiMixTableau::TableauSegment::Output);
   }
+}
 
-  // Remaining outputs that aren't zero initialised or matched need to be
-  // initialised in the maximally-mixed state.
-  // Also match up unmatched outputs to either unmatched inputs or reusable
-  // output names (ones that are already matched up to other input names),
-  // preferring the qubit of the same name
-  std::list<Qubit> reusable_names;
-  for (const Qubit& out_qb : output_qubits) {
-    if (matched_qubits.right.find(out_qb) != matched_qubits.right.end() &&
-        matched_qubits.left.find(out_qb) == matched_qubits.left.end())
-      reusable_names.push_back(out_qb);
-  }
-  for (const Qubit& out_qb : output_qubits) {
-    if (matched_qubits.right.find(out_qb) == matched_qubits.right.end()) {
-      if (zero_initialised.find(out_qb) == zero_initialised.end()) {
-        out_circ.qubit_create(out_qb);
-        out_circ.add_op<Qubit>(OpType::H, {out_qb});
-        out_circ.add_op<Qubit>(OpType::Collapse, {out_qb});
+void ChoiMixBuilder::solve_collapsed_subspace() {
+  // Solving the initialised subspace will have preserved the upper echelon form
+  // of the collapsed subspace; reduce the inputs of the collapsed space to a
+  // minimal set of qubits using CX gates
+  unsigned n_ins = tab.get_n_inputs();
+  unsigned n_outs = tab.get_n_outputs();
+  MatrixXb subtableau = tab.tab_.zmat.topLeftCorner(tab.get_n_rows(), n_ins);
+  std::vector<std::pair<unsigned, unsigned>> col_ops =
+      leading_column_gaussian_col_ops(subtableau);
+  for (const std::pair<unsigned, unsigned>& op : col_ops) {
+    tab.tab_.apply_CX(op.second, op.first);
+    ChoiMixTableau::col_key_t ctrl = tab.col_index_.right.at(op.second);
+    ChoiMixTableau::col_key_t trgt = tab.col_index_.right.at(op.first);
+    in_circ.add_op<Qubit>(OpType::CX, {ctrl.first, trgt.first});
+  }
+  // Since row multiplications will unsolve the inputs, we cannot get the output
+  // segment into upper echelon form for the same CX-saving trick; instead we
+  // accept just removing any qubits that are now unused after solving the
+  // initialised subspace
+  remove_unused_qubits();
+  tab.canonical_column_order(ChoiMixTableau::TableauSegment::Input);
+  // Solve the output segment using CX gates
+  n_ins = tab.get_n_inputs();
+  n_outs = tab.get_n_outputs();
+  col_ops = gaussian_elimination_col_ops(
+      tab.tab_.zmat.topRightCorner(tab.get_n_rows(), n_outs));
+  for (const std::pair<unsigned, unsigned>& op : col_ops) {
+    tab.tab_.apply_CX(n_ins + op.second, n_ins + op.first);
+    ChoiMixTableau::col_key_t ctrl = tab.col_index_.right.at(n_ins + op.second);
+    ChoiMixTableau::col_key_t trgt = tab.col_index_.right.at(n_ins + op.first);
+    out_circ_tp.add_op<Qubit>(OpType::CX, {ctrl.first, trgt.first});
+  }
+  // Connect up and remove rows and columns
+  for (unsigned r = tab.get_n_rows(); r-- > 0;) {
+    // r refers to the final row
+    // Check that row r has been successfully reduced
+    ChoiMixTableau::row_tensor_t row_r = tab.get_row(r);
+    if (row_r.first.size() != 1 ||
+        row_r.first.string.begin()->second != Pauli::Z ||
+        row_r.second.size() != 1 ||
+        row_r.second.string.begin()->second != Pauli::Z)
+      throw std::logic_error(
+          "Unexpected error during collapsed subspace reduction in "
+          "ChoiMixTableau synthesis");
+    Qubit in_q = row_r.first.string.begin()->first;
+    Qubit out_q = row_r.second.string.begin()->first;
+    // Solve phase
+    if (row_r.second.is_real_negative()) {
+      in_circ.add_op<Qubit>(OpType::X, {in_q});
+      tab.apply_gate(OpType::X, {in_q}, ChoiMixTableau::TableauSegment::Input);
+    }
+    // Connect in permutation
+    in_out_permutation.insert({in_q, out_q});
+    collapsed.insert(in_q);
+    tab.remove_row(r);
+    tab.discard_qubit(in_q, ChoiMixTableau::TableauSegment::Input);
+    tab.discard_qubit(out_q, ChoiMixTableau::TableauSegment::Output);
+  }
+}
+
+void ChoiMixBuilder::remove_unused_qubits() {
+  // Since removing a column replaces it with the last column, remove in reverse
+  // order to examine each column exactly once
+  for (unsigned c = tab.get_n_boundaries(); c-- > 0;) {
+    bool used = false;
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      if (tab.tab_.zmat(r, c) || tab.tab_.xmat(r, c)) {
+        used = true;
+        break;
       }
-      if (matched_qubits.left.find(out_qb) == matched_qubits.left.end()) {
-        matched_qubits.insert({out_qb, out_qb});
-        join_permutation.insert({out_qb, out_qb});
-      } else {
-        // Since the matching is a bijection, matched_qubits.left -
-        // matched_qubits.right (set difference) is the same size as
-        // matched_qubits.right - matched_qubits.left, so there will be exactly
-        // the right number of reusable names to pull from here
-        Qubit name = reusable_names.front();
-        reusable_names.pop_front();
-        matched_qubits.insert({name, out_qb});
-        join_permutation.insert({out_qb, name});
+    }
+    if (used) continue;
+    ChoiMixTableau::col_key_t col = tab.col_index_.right.at(c);
+    if (col.second == ChoiMixTableau::TableauSegment::Input)
+      discarded.insert(col.first);
+    else
+      mix_initialised.insert(col.first);
+    tab.discard_qubit(col.first, col.second);
+  }
+}
+
+void ChoiMixBuilder::assign_init_post_names() {
+  auto it = unitary_post_names.begin();
+  for (const Qubit& ps : post_selected) {
+    if (it == unitary_post_names.end())
+      throw std::logic_error(
+          "Not enough additional qubit names for unitary extension of "
+          "ChoiMixTableau to safely handle post-selected subspace");
+    in_out_permutation.insert({ps, *it});
+    ++it;
+  }
+  unitary_post_names = {it, unitary_post_names.end()};
+
+  it = unitary_init_names.begin();
+  for (const Qubit& zi : zero_initialised) {
+    if (it == unitary_init_names.end())
+      throw std::logic_error(
+          "Not enough additional qubit names for unitary extension of "
+          "ChoiMixTableau to safely handle initialised subspace");
+    in_out_permutation.insert({*it, zi});
+    ++it;
+  }
+  unitary_init_names = {it, unitary_init_names.end()};
+}
+
+void ChoiMixBuilder::assign_remaining_names() {
+  // Some post-selected or initialised qubits might have already been matched up
+  // for unitary synthesis, so we only need to match up the remainder
+  std::set<Qubit> unsolved_ins = discarded;
+  for (const Qubit& q : post_selected) {
+    if (in_out_permutation.left.find(q) == in_out_permutation.left.end())
+      unsolved_ins.insert(q);
+  }
+  std::set<Qubit> unsolved_outs = mix_initialised;
+  for (const Qubit& q : zero_initialised) {
+    if (in_out_permutation.right.find(q) == in_out_permutation.right.end())
+      unsolved_outs.insert(q);
+  }
+  // If there are more unsolved_ins than unsolved_outs, we want to pad out
+  // unsolved_outs with extra names that don't appear as output names of the
+  // original tableau; between unsolved_ins and the inputs already in
+  // in_out_permutation, there will be at least enough of these
+  if (unsolved_ins.size() > unsolved_outs.size()) {
+    for (const Qubit& q : unsolved_ins) {
+      if (in_out_permutation.right.find(q) == in_out_permutation.right.end()) {
+        unsolved_outs.insert(q);
+        if (unsolved_ins.size() == unsolved_outs.size()) break;
+      }
+    }
+    if (unsolved_ins.size() > unsolved_outs.size()) {
+      using perm_entry = boost::bimap<Qubit, Qubit>::left_const_reference;
+      BOOST_FOREACH (perm_entry entry, in_out_permutation.left) {
+        if (in_out_permutation.right.find(entry.first) ==
+            in_out_permutation.right.end()) {
+          unsolved_outs.insert(entry.first);
+          if (unsolved_ins.size() == unsolved_outs.size()) break;
+        }
+      }
+    }
+  } else if (unsolved_ins.size() < unsolved_outs.size()) {
+    for (const Qubit& q : unsolved_outs) {
+      if (in_out_permutation.left.find(q) == in_out_permutation.left.end()) {
+        unsolved_ins.insert(q);
+        if (unsolved_ins.size() == unsolved_outs.size()) break;
+      }
+    }
+    if (unsolved_ins.size() < unsolved_outs.size()) {
+      using perm_entry = boost::bimap<Qubit, Qubit>::left_const_reference;
+      BOOST_FOREACH (perm_entry entry, in_out_permutation.left) {
+        if (in_out_permutation.left.find(entry.second) ==
+            in_out_permutation.left.end()) {
+          unsolved_ins.insert(entry.second);
+          if (unsolved_ins.size() == unsolved_outs.size()) break;
+        }
       }
     }
   }
+  // Prefer to connect qubits with the same names
+  for (auto in_it = unsolved_ins.begin(); in_it != unsolved_ins.end();) {
+    auto temp_it = in_it++;
+    auto out_it = unsolved_outs.find(*temp_it);
+    if (out_it != unsolved_outs.end()) {
+      in_out_permutation.insert({*temp_it, *temp_it});
+      unsolved_ins.erase(temp_it);
+      unsolved_outs.erase(out_it);
+    }
+  }
+  // Pair up remainders; by our earlier padding, they should have the exact same
+  // number of elements, so pair them up exactly
+  for (const Qubit& in : unsolved_ins) {
+    auto it = unsolved_outs.begin();
+    in_out_permutation.insert({in, *it});
+    unsolved_outs.erase(it);
+  }
+}
 
-  // Initialise qubits with stabilizer rows and stitch subcircuits together
+std::pair<Circuit, qubit_map_t> ChoiMixBuilder::output_circuit() {
+  if (tab.get_n_rows() != 0 || tab.get_n_boundaries() != 0)
+    throw std::logic_error(
+        "Unexpected error during ChoiMixTableau synthesis, reached the end "
+        "with a non-empty tableau remaining");
+  if (!post_selected.empty()) {
+    throw std::logic_error(
+        "Not yet implemented: post-selection required during ChoiMixTableau "
+        "synthesis");
+  }
+  for (const Qubit& q : discarded) in_circ.qubit_discard(q);
+  for (const Qubit& q : collapsed) in_circ.add_op<Qubit>(OpType::Collapse, {q});
+  Circuit out_circ(out_circ_tp.all_qubits(), {});
+  for (const Qubit& q : zero_initialised) out_circ.qubit_create(q);
+  for (const Qubit& q : mix_initialised) {
+    out_circ.qubit_create(q);
+    out_circ.add_op<Qubit>(OpType::H, {q});
+    out_circ.add_op<Qubit>(OpType::Collapse, {q});
+  }
   out_circ.append(out_circ_tp.transpose());
-  in_circ.append_with_map(out_circ, join_permutation);
-  return {in_circ, join_permutation};
+  qubit_map_t return_perm;
+  unit_map_t append_perm;
+  using perm_entry = boost::bimap<Qubit, Qubit>::left_const_reference;
+  BOOST_FOREACH (perm_entry entry, in_out_permutation.left) {
+    return_perm.insert({entry.second, entry.first});
+    append_perm.insert({entry.second, entry.first});
+  }
+  in_circ.append_with_map(out_circ, append_perm);
+  return {in_circ, return_perm};
+}
+
+std::pair<Circuit, qubit_map_t> ChoiMixBuilder::unitary_output_circuit() {
+  if (tab.get_n_rows() != 0 || tab.get_n_boundaries() != 0)
+    throw std::logic_error(
+        "Unexpected error during ChoiMixTableau synthesis, reached the end "
+        "with a non-empty tableau remaining");
+  qubit_map_t return_perm;
+  unit_map_t append_perm;
+  using perm_entry = boost::bimap<Qubit, Qubit>::left_const_reference;
+  BOOST_FOREACH (perm_entry entry, in_out_permutation.left) {
+    return_perm.insert({entry.second, entry.first});
+    append_perm.insert({entry.second, entry.first});
+  }
+  in_circ.append_with_map(out_circ_tp.transpose(), append_perm);
+  return {in_circ, return_perm};
 }
 
 }  // namespace tket
diff --git a/tket/src/Converters/PauliGadget.cpp b/tket/src/Converters/PauliGadget.cpp
deleted file mode 100644
index 451003776c..0000000000
--- a/tket/src/Converters/PauliGadget.cpp
+++ /dev/null
@@ -1,381 +0,0 @@
-// Copyright 2019-2023 Cambridge Quantum Computing
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-//     http://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-#include "tket/Converters/PauliGadget.hpp"
-
-#include "tket/Circuit/CircUtils.hpp"
-#include "tket/Circuit/ConjugationBox.hpp"
-#include "tket/Circuit/PauliExpBoxes.hpp"
-
-namespace tket {
-
-void append_single_pauli_gadget(
-    Circuit &circ, const SpSymPauliTensor &pauli, CXConfigType cx_config) {
-  std::vector<Pauli> string;
-  unit_map_t mapping;
-  unsigned i = 0;
-  for (const std::pair<const Qubit, Pauli> &term : pauli.string) {
-    string.push_back(term.second);
-    mapping.insert({Qubit(q_default_reg(), i), term.first});
-    i++;
-  }
-  Circuit gadget = pauli_gadget(string, pauli.coeff, cx_config);
-  circ.append_with_map(gadget, mapping);
-}
-
-void append_single_pauli_gadget_as_pauli_exp_box(
-    Circuit &circ, const SpSymPauliTensor &pauli, CXConfigType cx_config) {
-  std::vector<Pauli> string;
-  std::vector<Qubit> mapping;
-  for (const std::pair<const Qubit, Pauli> &term : pauli.string) {
-    string.push_back(term.second);
-    mapping.push_back(term.first);
-  }
-  PauliExpBox box(SymPauliTensor(string, pauli.coeff), cx_config);
-  circ.add_box(box, mapping);
-}
-
-void append_pauli_gadget_pair_as_box(
-    Circuit &circ, const SpSymPauliTensor &pauli0,
-    const SpSymPauliTensor &pauli1, CXConfigType cx_config) {
-  std::vector<Qubit> mapping;
-  std::vector<Pauli> paulis0;
-  std::vector<Pauli> paulis1;
-  QubitPauliMap p1map = pauli1.string;
-  // add paulis for qubits in pauli0_string
-  for (const std::pair<const Qubit, Pauli> &term : pauli0.string) {
-    mapping.push_back(term.first);
-    paulis0.push_back(term.second);
-    auto found = p1map.find(term.first);
-    if (found == p1map.end()) {
-      paulis1.push_back(Pauli::I);
-    } else {
-      paulis1.push_back(found->second);
-      p1map.erase(found);
-    }
-  }
-  // add paulis for qubits in pauli1_string that weren't in pauli0_string
-  for (const std::pair<const Qubit, Pauli> &term : p1map) {
-    mapping.push_back(term.first);
-    paulis1.push_back(term.second);
-    paulis0.push_back(Pauli::I);  // If pauli0_string contained qubit, would
-                                  // have been handled above
-  }
-  PauliExpPairBox box(
-      SymPauliTensor(paulis0, pauli0.coeff),
-      SymPauliTensor(paulis1, pauli1.coeff), cx_config);
-  circ.add_box(box, mapping);
-}
-
-void append_commuting_pauli_gadget_set_as_box(
-    Circuit &circ, const std::list<SpSymPauliTensor> &gadgets,
-    CXConfigType cx_config) {
-  // Translate SpSymPauliTensors to vectors of Paulis of same length
-  // Preserves ordering of qubits
-
-  std::set<Qubit> all_qubits;
-  for (const SpSymPauliTensor &gadget : gadgets) {
-    for (const std::pair<const Qubit, Pauli> &qubit_pauli : gadget.string) {
-      all_qubits.insert(qubit_pauli.first);
-    }
-  }
-
-  std::vector<Qubit> mapping;
-  for (const Qubit &qubit : all_qubits) {
-    mapping.push_back(qubit);
-  }
-
-  std::vector<SymPauliTensor> pauli_gadgets;
-  for (const SpSymPauliTensor &gadget : gadgets) {
-    SymPauliTensor &new_gadget =
-        pauli_gadgets.emplace_back(DensePauliMap{}, gadget.coeff);
-    for (const Qubit &qubit : mapping) {
-      new_gadget.string.push_back(gadget.get(qubit));
-    }
-  }
-
-  PauliExpCommutingSetBox box(pauli_gadgets, cx_config);
-  circ.add_box(box, mapping);
-}
-
-static void reduce_shared_qs_by_CX_snake(
-    Circuit &circ, std::set<Qubit> &match, SpSymPauliTensor &pauli0,
-    SpSymPauliTensor &pauli1) {
-  unsigned match_size = match.size();
-  while (match_size > 1) {  // We allow one match left over
-    auto it = --match.end();
-    Qubit to_eliminate = *it;
-    match.erase(it);
-    Qubit helper = *match.rbegin();
-    // extend CX snake
-    circ.add_op<Qubit>(OpType::CX, {to_eliminate, helper});
-    pauli0.string.erase(to_eliminate);
-    pauli1.string.erase(to_eliminate);
-    match_size--;
-  }
-}
-
-static void reduce_shared_qs_by_CX_star(
-    Circuit &circ, std::set<Qubit> &match, SpSymPauliTensor &pauli0,
-    SpSymPauliTensor &pauli1) {
-  std::set<Qubit>::iterator iter = match.begin();
-  for (std::set<Qubit>::iterator next = match.begin(); match.size() > 1;
-       iter = next) {
-    ++next;
-    Qubit to_eliminate = *iter;
-    circ.add_op<Qubit>(OpType::CX, {to_eliminate, *match.rbegin()});
-    pauli0.string.erase(to_eliminate);
-    pauli1.string.erase(to_eliminate);
-    match.erase(iter);
-  }
-}
-
-static void reduce_shared_qs_by_CX_tree(
-    Circuit &circ, std::set<Qubit> &match, SpSymPauliTensor &pauli0,
-    SpSymPauliTensor &pauli1) {
-  while (match.size() > 1) {
-    std::set<Qubit> remaining;
-    std::set<Qubit>::iterator it = match.begin();
-    while (it != match.end()) {
-      Qubit maintained = *it;
-      it++;
-      remaining.insert(maintained);
-      if (it != match.end()) {
-        Qubit to_eliminate = *it;
-        it++;
-        circ.add_op<Qubit>(OpType::CX, {to_eliminate, maintained});
-        pauli0.string.erase(to_eliminate);
-        pauli1.string.erase(to_eliminate);
-      }
-    }
-    match = remaining;
-  }
-}
-
-static void reduce_shared_qs_by_CX_multiqgate(
-    Circuit &circ, std::set<Qubit> &match, SpSymPauliTensor &pauli0,
-    SpSymPauliTensor &pauli1) {
-  if (match.size() <= 1) {
-    return;
-  }
-  // last qubit is target
-  Qubit target = *match.rbegin();
-  while (match.size() > 1) {
-    std::set<Qubit>::iterator iter = match.begin();
-    if (match.size() == 2) {
-      // use CX
-      Qubit to_eliminate = *iter;
-      match.erase(iter);
-      pauli0.string.erase(to_eliminate);
-      pauli1.string.erase(to_eliminate);
-
-      circ.add_op<Qubit>(OpType::CX, {to_eliminate, target});
-    } else {
-      // use XXPhase3
-      Qubit to_eliminate1 = *iter;
-      match.erase(iter++);
-      pauli0.string.erase(to_eliminate1);
-      pauli1.string.erase(to_eliminate1);
-
-      Qubit to_eliminate2 = *iter;
-      match.erase(iter);
-      pauli0.string.erase(to_eliminate2);
-      pauli1.string.erase(to_eliminate2);
-
-      circ.add_op<Qubit>(OpType::H, {to_eliminate1});
-      circ.add_op<Qubit>(OpType::H, {to_eliminate2});
-      circ.add_op<Qubit>(
-          OpType::XXPhase3, 0.5, {to_eliminate1, to_eliminate2, target});
-      circ.add_op<Qubit>(OpType::X, {target});
-    }
-  }
-}
-
-void append_pauli_gadget_pair(
-    Circuit &circ, SpSymPauliTensor pauli0, SpSymPauliTensor pauli1,
-    CXConfigType cx_config) {
-  /*
-   * Cowtan, Dilkes, Duncan, Simmons, Sivarajah: Phase Gadget Synthesis for
-   * Shallow Circuits, Lemma 4.9
-   * Let s and t be Pauli strings; then there exists a Clifford unitary U such
-   * that
-   * P(a, s) . P(b, t) = U . P(a, s') . P(b, t') . U^\dagger
-   * where s' and t' are Pauli strings with intersection at most 1.
-   *
-   * Follows the procedure to reduce the intersection of the gadgets and then
-   * synthesises the remainder individually.
-   */
-  pauli0.compress();
-  pauli1.compress();
-
-  /*
-   * Step 1: Partition qubits into those just affected by pauli0 (just0) and
-   * pauli1 (just1), and those in both which either match or don't
-   */
-  std::set<Qubit> just0 = pauli0.own_qubits(pauli1);
-  std::set<Qubit> just1 = pauli1.own_qubits(pauli0);
-  std::set<Qubit> match = pauli0.common_qubits(pauli1);
-  std::set<Qubit> mismatch = pauli0.conflicting_qubits(pauli1);
-
-  /*
-   * Step 2: Build the unitary U that minimises the intersection of the gadgets.
-   */
-  Circuit u;
-  for (const Qubit &qb : just0) u.add_qubit(qb);
-  for (const Qubit &qb : just1) u.add_qubit(qb);
-  for (const Qubit &qb : match) u.add_qubit(qb);
-  for (const Qubit &qb : mismatch) u.add_qubit(qb);
-  Circuit v(u);
-
-  /*
-   * Step 2.i: Remove (almost) all matches by converting to Z basis and applying
-   * CXs
-   */
-  for (const Qubit &qb : match) {
-    switch (pauli0.get(qb)) {
-      case Pauli::X:
-        u.add_op<Qubit>(OpType::H, {qb});
-        pauli0.set(qb, Pauli::Z);
-        pauli1.set(qb, Pauli::Z);
-        break;
-      case Pauli::Y:
-        u.add_op<Qubit>(OpType::V, {qb});
-        pauli0.set(qb, Pauli::Z);
-        pauli1.set(qb, Pauli::Z);
-        break;
-      default:
-        break;
-    }
-  }
-  switch (cx_config) {
-    case CXConfigType::Snake: {
-      reduce_shared_qs_by_CX_snake(u, match, pauli0, pauli1);
-      break;
-    }
-    case CXConfigType::Star: {
-      reduce_shared_qs_by_CX_star(u, match, pauli0, pauli1);
-      break;
-    }
-    case CXConfigType::Tree: {
-      reduce_shared_qs_by_CX_tree(u, match, pauli0, pauli1);
-      break;
-    }
-    case CXConfigType::MultiQGate: {
-      reduce_shared_qs_by_CX_multiqgate(u, match, pauli0, pauli1);
-      break;
-    }
-    default:
-      throw std::logic_error(
-          "Unknown CXConfigType received when decomposing gadget.");
-  }
-  /*
-   * Step 2.ii: Convert mismatches to Z in pauli0 and X in pauli1
-   */
-  for (const Qubit &qb : mismatch) {
-    switch (pauli0.get(qb)) {
-      case Pauli::X: {
-        switch (pauli1.get(qb)) {
-          case Pauli::Y:
-            u.add_op<Qubit>(OpType::Sdg, {qb});
-            u.add_op<Qubit>(OpType::Vdg, {qb});
-            break;
-          case Pauli::Z:
-            u.add_op<Qubit>(OpType::H, {qb});
-            break;
-          default:
-            break;  // Cannot hit this case
-        }
-        break;
-      }
-      case Pauli::Y: {
-        switch (pauli1.get(qb)) {
-          case Pauli::X:
-            u.add_op<Qubit>(OpType::V, {qb});
-            break;
-          case Pauli::Z:
-            u.add_op<Qubit>(OpType::V, {qb});
-            u.add_op<Qubit>(OpType::S, {qb});
-            break;
-          default:
-            break;  // Cannot hit this case
-        }
-        break;
-      }
-      default: {  // Necessarily Z
-        if (pauli1.get(qb) == Pauli::Y) u.add_op<Qubit>(OpType::Sdg, {qb});
-        // No need to act if already X
-      }
-    }
-    pauli0.set(qb, Pauli::Z);
-    pauli1.set(qb, Pauli::X);
-  }
-
-  /*
-   * Step 2.iii: Remove the final matching qubit against a mismatch if one
-   * exists, otherwise allow both gadgets to build it
-   */
-  if (!match.empty()) {
-    Qubit last_match = *match.begin();
-    match.erase(last_match);
-    if (!mismatch.empty()) {
-      Qubit mismatch_used =
-          *mismatch.rbegin();  // Prefer to use the one that may be left over
-                               // after reducing pairs
-      u.add_op<Qubit>(OpType::S, {mismatch_used});
-      u.add_op<Qubit>(OpType::CX, {last_match, mismatch_used});
-      u.add_op<Qubit>(OpType::Sdg, {mismatch_used});
-      pauli0.string.erase(last_match);
-      pauli1.string.erase(last_match);
-    } else {
-      just0.insert(last_match);
-      just1.insert(last_match);
-    }
-  }
-
-  /*
-   * Step 2.iv: Reduce pairs of mismatches to different qubits.
-   * Allow both gadgets to build a remaining qubit if it exists.
-   */
-  std::set<Qubit>::iterator mis_it = mismatch.begin();
-  while (mis_it != mismatch.end()) {
-    Qubit z_in_0 = *mis_it;
-    just0.insert(z_in_0);
-    mis_it++;
-    if (mis_it == mismatch.end()) {
-      just1.insert(z_in_0);
-    } else {
-      Qubit x_in_1 = *mis_it;
-      u.add_op<Qubit>(OpType::CX, {x_in_1, z_in_0});
-      pauli0.string.erase(x_in_1);
-      pauli1.string.erase(z_in_0);
-      just1.insert(x_in_1);
-      mis_it++;
-    }
-  }
-
-  /*
-   * Step 3: Combine circuits to give final result
-   */
-  append_single_pauli_gadget(v, pauli0);
-  append_single_pauli_gadget(v, pauli1);
-  // ConjugationBox components must be in the default register
-  qubit_vector_t all_qubits = u.all_qubits();
-  u.flatten_registers();
-  v.flatten_registers();
-  ConjugationBox cjbox(
-      std::make_shared<CircBox>(u), std::make_shared<CircBox>(v));
-  circ.add_box(cjbox, all_qubits);
-}
-
-}  // namespace tket
diff --git a/tket/src/Converters/PauliGraphConverters.cpp b/tket/src/Converters/PauliGraphConverters.cpp
index 8f345432eb..4408c0b7e7 100644
--- a/tket/src/Converters/PauliGraphConverters.cpp
+++ b/tket/src/Converters/PauliGraphConverters.cpp
@@ -15,7 +15,6 @@
 #include "tket/Circuit/Boxes.hpp"
 #include "tket/Circuit/PauliExpBoxes.hpp"
 #include "tket/Converters/Converters.hpp"
-#include "tket/Converters/PauliGadget.hpp"
 #include "tket/Converters/PhasePoly.hpp"
 #include "tket/Diagonalisation/Diagonalisation.hpp"
 #include "tket/Gate/Gate.hpp"
diff --git a/tket/src/Converters/UnitaryTableauConverters.cpp b/tket/src/Converters/UnitaryTableauConverters.cpp
index 32d45ea4b6..ba9d4fc936 100644
--- a/tket/src/Converters/UnitaryTableauConverters.cpp
+++ b/tket/src/Converters/UnitaryTableauConverters.cpp
@@ -44,7 +44,7 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
    * Step 1: Use Hadamards (in our case, Vs) to make C (z rows of xmat_) have
    * full rank
    */
-  MatrixXb echelon = tabl.xmat_.block(size, 0, size, size);
+  MatrixXb echelon = tabl.xmat.block(size, 0, size, size);
   std::map<unsigned, unsigned> leading_val_to_col;
   for (unsigned i = 0; i < size; i++) {
     for (unsigned j = 0; j < size; j++) {
@@ -64,9 +64,8 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
       continue;  // Independent of previous cols
     c.add_op<unsigned>(OpType::V, {i});
     tabl.apply_V(i);
-    tabl.apply_V(i);
-    tabl.apply_V(i);
-    echelon.col(i) = tabl.zmat_.block(size, i, size, 1);
+    tabl.apply_X(i);
+    echelon.col(i) = tabl.zmat.block(size, i, size, 1);
     for (unsigned j = 0; j < size; j++) {
       if (echelon(j, i)) {
         if (leading_val_to_col.find(j) == leading_val_to_col.end()) {
@@ -89,7 +88,7 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
    * / A B \
    * \ I D /
    */
-  MatrixXb to_reduce = tabl.xmat_.block(size, 0, size, size);
+  MatrixXb to_reduce = tabl.xmat.block(size, 0, size, size);
   for (const std::pair<unsigned, unsigned>& qbs :
        gaussian_elimination_col_ops(to_reduce)) {
     c.add_op<unsigned>(OpType::CX, {qbs.first, qbs.second});
@@ -103,13 +102,12 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
    * for some invertible M.
    */
   std::pair<MatrixXb, MatrixXb> zp_z_llt =
-      binary_LLT_decomposition(tabl.zmat_.block(size, 0, size, size));
+      binary_LLT_decomposition(tabl.zmat.block(size, 0, size, size));
   for (unsigned i = 0; i < size; i++) {
     if (zp_z_llt.second(i, i)) {
       c.add_op<unsigned>(OpType::S, {i});
       tabl.apply_S(i);
-      tabl.apply_S(i);
-      tabl.apply_S(i);
+      tabl.apply_Z(i);
     }
   }
 
@@ -140,8 +138,7 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
   for (unsigned i = 0; i < size; i++) {
     c.add_op<unsigned>(OpType::S, {i});
     tabl.apply_S(i);
-    tabl.apply_S(i);
-    tabl.apply_S(i);
+    tabl.apply_Z(i);
   }
 
   /*
@@ -150,7 +147,7 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
    * \ I 0 /
    * By commutativity relations, IB^T = A0^T + I, therefore B = I.
    */
-  to_reduce = tabl.xmat_.block(size, 0, size, size);
+  to_reduce = tabl.xmat.block(size, 0, size, size);
   for (const std::pair<unsigned, unsigned>& qbs :
        gaussian_elimination_col_ops(to_reduce)) {
     c.add_op<unsigned>(OpType::CX, {qbs.first, qbs.second});
@@ -164,9 +161,7 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
    */
   for (unsigned i = 0; i < size; i++) {
     c.add_op<unsigned>(OpType::H, {i});
-    tabl.apply_S(i);
-    tabl.apply_V(i);
-    tabl.apply_S(i);
+    tabl.apply_H(i);
   }
 
   /*
@@ -175,13 +170,12 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
    * some invertible N.
    */
   std::pair<MatrixXb, MatrixXb> xp_z_llt =
-      binary_LLT_decomposition(tabl.zmat_.block(0, 0, size, size));
+      binary_LLT_decomposition(tabl.zmat.block(0, 0, size, size));
   for (unsigned i = 0; i < size; i++) {
     if (xp_z_llt.second(i, i)) {
       c.add_op<unsigned>(OpType::S, {i});
       tabl.apply_S(i);
-      tabl.apply_S(i);
-      tabl.apply_S(i);
+      tabl.apply_Z(i);
     }
   }
 
@@ -210,8 +204,7 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
   for (unsigned i = 0; i < size; i++) {
     c.add_op<unsigned>(OpType::S, {i});
     tabl.apply_S(i);
-    tabl.apply_S(i);
-    tabl.apply_S(i);
+    tabl.apply_Z(i);
   }
 
   /*
@@ -220,7 +213,7 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
    * \ 0 I /
    */
   for (const std::pair<unsigned, unsigned>& qbs :
-       gaussian_elimination_col_ops(tabl.xmat_.block(0, 0, size, size))) {
+       gaussian_elimination_col_ops(tabl.xmat.block(0, 0, size, size))) {
     c.add_op<unsigned>(OpType::CX, {qbs.first, qbs.second});
     tabl.apply_CX(qbs.first, qbs.second);
   }
@@ -229,15 +222,14 @@ Circuit unitary_tableau_to_circuit(const UnitaryTableau& tab) {
    * DELAYED STEPS: Set all phases to 0 by applying Z or X gates
    */
   for (unsigned i = 0; i < size; i++) {
-    if (tabl.phase_(i)) {
+    if (tabl.phase(i)) {
       c.add_op<unsigned>(OpType::Z, {i});
-      tabl.apply_S(i);
-      tabl.apply_S(i);
+      tabl.apply_Z(i);
     }
-    if (tabl.phase_(i + size)) {
+    if (tabl.phase(i + size)) {
       c.add_op<unsigned>(OpType::X, {i});
-      tabl.apply_V(i);
-      tabl.apply_V(i);
+      tabl.apply_X(i);
+      ;
     }
   }
 
diff --git a/tket/src/Diagonalisation/Diagonalisation.cpp b/tket/src/Diagonalisation/Diagonalisation.cpp
index 354f522d3d..b712e4c2b3 100644
--- a/tket/src/Diagonalisation/Diagonalisation.cpp
+++ b/tket/src/Diagonalisation/Diagonalisation.cpp
@@ -342,4 +342,410 @@ void apply_conjugations(
   qps.coeff *= cast_coeff<quarter_turns_t, Expr>(stab.coeff);
 }
 
+std::pair<Circuit, Qubit> reduce_pauli_to_z(
+    const SpPauliStabiliser &pauli, CXConfigType cx_config) {
+  Circuit circ;
+  qubit_vector_t qubits;
+  for (const std::pair<const Qubit, Pauli> &qp : pauli.string) {
+    circ.add_qubit(qp.first);
+    if (qp.second != Pauli::I) qubits.push_back(qp.first);
+    switch (qp.second) {
+      case Pauli::X: {
+        circ.add_op<Qubit>(OpType::H, {qp.first});
+        break;
+      }
+      case Pauli::Y: {
+        circ.add_op<Qubit>(OpType::V, {qp.first});
+        break;
+      }
+      default: {
+        break;
+      }
+    }
+  }
+  unsigned n_qubits = qubits.size();
+  if (n_qubits == 0) throw std::logic_error("Cannot reduce identity to Z");
+  switch (cx_config) {
+    case CXConfigType::Snake: {
+      for (unsigned i = n_qubits - 1; i != 0; --i) {
+        circ.add_op<Qubit>(OpType::CX, {qubits.at(i), qubits.at(i - 1)});
+      }
+      break;
+    }
+    case CXConfigType::Star: {
+      for (unsigned i = n_qubits - 1; i != 0; --i) {
+        circ.add_op<Qubit>(OpType::CX, {qubits.at(i), qubits.front()});
+      }
+      break;
+    }
+    case CXConfigType::Tree: {
+      for (unsigned step_size = 1; step_size < n_qubits; step_size *= 2) {
+        for (unsigned i = 0; step_size + i < n_qubits; i += 2 * step_size) {
+          circ.add_op<Qubit>(
+              OpType::CX, {qubits.at(step_size + i), qubits.at(i)});
+        }
+      }
+      break;
+    }
+    case CXConfigType::MultiQGate: {
+      bool flip_phase = false;
+      for (unsigned i = n_qubits - 1; i != 0; --i) {
+        if (i == 1) {
+          circ.add_op<Qubit>(OpType::CX, {qubits.at(i), qubits.front()});
+        } else {
+          /**
+           * This is only equal to the CX decompositions above up to phase,
+           * but phase differences are cancelled out by its dagger
+           */
+          circ.add_op<Qubit>(OpType::H, {qubits.at(i)});
+          circ.add_op<Qubit>(OpType::H, {qubits.at(i - 1)});
+          circ.add_op<Qubit>(
+              OpType::XXPhase3, 0.5,
+              {qubits.at(i), qubits.at(i - 1), qubits.front()});
+          --i;
+          flip_phase = !flip_phase;
+        }
+      }
+      if (flip_phase) circ.add_op<Qubit>(OpType::X, {qubits.front()});
+      break;
+    }
+  }
+  return {circ, qubits.front()};
+}
+
+static void reduce_shared_qs_by_CX_snake(
+    Circuit &circ, std::set<Qubit> &match, SpPauliStabiliser &pauli0,
+    SpPauliStabiliser &pauli1) {
+  unsigned match_size = match.size();
+  while (match_size > 1) {  // We allow one match left over
+    auto it = --match.end();
+    Qubit to_eliminate = *it;
+    match.erase(it);
+    Qubit helper = *match.rbegin();
+    // extend CX snake
+    circ.add_op<Qubit>(OpType::CX, {to_eliminate, helper});
+    pauli0.string.erase(to_eliminate);
+    pauli1.string.erase(to_eliminate);
+    match_size--;
+  }
+}
+
+static void reduce_shared_qs_by_CX_star(
+    Circuit &circ, std::set<Qubit> &match, SpPauliStabiliser &pauli0,
+    SpPauliStabiliser &pauli1) {
+  std::set<Qubit>::iterator iter = match.begin();
+  for (std::set<Qubit>::iterator next = match.begin(); match.size() > 1;
+       iter = next) {
+    ++next;
+    Qubit to_eliminate = *iter;
+    circ.add_op<Qubit>(OpType::CX, {to_eliminate, *match.rbegin()});
+    pauli0.string.erase(to_eliminate);
+    pauli1.string.erase(to_eliminate);
+    match.erase(iter);
+  }
+}
+
+static void reduce_shared_qs_by_CX_tree(
+    Circuit &circ, std::set<Qubit> &match, SpPauliStabiliser &pauli0,
+    SpPauliStabiliser &pauli1) {
+  while (match.size() > 1) {
+    std::set<Qubit> remaining;
+    std::set<Qubit>::iterator it = match.begin();
+    while (it != match.end()) {
+      Qubit maintained = *it;
+      it++;
+      remaining.insert(maintained);
+      if (it != match.end()) {
+        Qubit to_eliminate = *it;
+        it++;
+        circ.add_op<Qubit>(OpType::CX, {to_eliminate, maintained});
+        pauli0.string.erase(to_eliminate);
+        pauli1.string.erase(to_eliminate);
+      }
+    }
+    match = remaining;
+  }
+}
+
+static void reduce_shared_qs_by_CX_multiqgate(
+    Circuit &circ, std::set<Qubit> &match, SpPauliStabiliser &pauli0,
+    SpPauliStabiliser &pauli1) {
+  if (match.size() <= 1) {
+    return;
+  }
+  // last qubit is target
+  Qubit target = *match.rbegin();
+  while (match.size() > 1) {
+    std::set<Qubit>::iterator iter = match.begin();
+    if (match.size() == 2) {
+      // use CX
+      Qubit to_eliminate = *iter;
+      match.erase(iter);
+      pauli0.string.erase(to_eliminate);
+      pauli1.string.erase(to_eliminate);
+
+      circ.add_op<Qubit>(OpType::CX, {to_eliminate, target});
+    } else {
+      // use XXPhase3
+      Qubit to_eliminate1 = *iter;
+      match.erase(iter++);
+      pauli0.string.erase(to_eliminate1);
+      pauli1.string.erase(to_eliminate1);
+
+      Qubit to_eliminate2 = *iter;
+      match.erase(iter);
+      pauli0.string.erase(to_eliminate2);
+      pauli1.string.erase(to_eliminate2);
+
+      circ.add_op<Qubit>(OpType::H, {to_eliminate1});
+      circ.add_op<Qubit>(OpType::H, {to_eliminate2});
+      circ.add_op<Qubit>(
+          OpType::XXPhase3, 0.5, {to_eliminate1, to_eliminate2, target});
+      circ.add_op<Qubit>(OpType::X, {target});
+    }
+  }
+}
+
+std::pair<Circuit, std::optional<Qubit>> reduce_overlap_of_paulis(
+    SpPauliStabiliser &pauli0, SpPauliStabiliser &pauli1,
+    CXConfigType cx_config) {
+  /*
+   * Cowtan, Dilkes, Duncan, Simmons, Sivarajah: Phase Gadget Synthesis for
+   * Shallow Circuits, Lemma 4.9
+   * Let s and t be Pauli strings; then there exists a Clifford unitary U such
+   * that
+   * P(a, s) . P(b, t) = U . P(a, s') . P(b, t') . U^\dagger
+   * where s' and t' are Pauli strings with intersection at most 1.
+   *
+   * Follows the procedure to reduce the intersection of the gadgets and then
+   * synthesises the remainder individually.
+   */
+
+  /*
+   * Step 1: Identify qubits in both pauli0 and pauli1 which either match or
+   * don't
+   */
+  std::set<Qubit> match = pauli0.common_qubits(pauli1);
+  std::set<Qubit> mismatch = pauli0.conflicting_qubits(pauli1);
+
+  /*
+   * Step 2: Build the unitary U that minimises the intersection of the gadgets.
+   */
+  Circuit u;
+  for (const std::pair<const Qubit, Pauli> &qp : pauli0.string)
+    u.add_qubit(qp.first);
+  for (const std::pair<const Qubit, Pauli> &qp : pauli1.string) {
+    if (!u.contains_unit(qp.first)) u.add_qubit(qp.first);
+  }
+
+  /*
+   * Step 2.i: Remove (almost) all matches by converting to Z basis and applying
+   * CXs
+   */
+  for (const Qubit &qb : match) {
+    switch (pauli0.get(qb)) {
+      case Pauli::X:
+        u.add_op<Qubit>(OpType::H, {qb});
+        pauli0.set(qb, Pauli::Z);
+        pauli1.set(qb, Pauli::Z);
+        break;
+      case Pauli::Y:
+        u.add_op<Qubit>(OpType::V, {qb});
+        pauli0.set(qb, Pauli::Z);
+        pauli1.set(qb, Pauli::Z);
+        break;
+      default:
+        break;
+    }
+  }
+  switch (cx_config) {
+    case CXConfigType::Snake: {
+      reduce_shared_qs_by_CX_snake(u, match, pauli0, pauli1);
+      break;
+    }
+    case CXConfigType::Star: {
+      reduce_shared_qs_by_CX_star(u, match, pauli0, pauli1);
+      break;
+    }
+    case CXConfigType::Tree: {
+      reduce_shared_qs_by_CX_tree(u, match, pauli0, pauli1);
+      break;
+    }
+    case CXConfigType::MultiQGate: {
+      reduce_shared_qs_by_CX_multiqgate(u, match, pauli0, pauli1);
+      break;
+    }
+    default:
+      throw std::logic_error(
+          "Unknown CXConfigType received when decomposing gadget.");
+  }
+  /*
+   * Step 2.ii: Convert mismatches to Z in pauli0 and X in pauli1
+   */
+  for (const Qubit &qb : mismatch) {
+    switch (pauli0.get(qb)) {
+      case Pauli::X: {
+        switch (pauli1.get(qb)) {
+          case Pauli::Y:
+            u.add_op<Qubit>(OpType::Sdg, {qb});
+            u.add_op<Qubit>(OpType::Vdg, {qb});
+            break;
+          case Pauli::Z:
+            u.add_op<Qubit>(OpType::H, {qb});
+            break;
+          default:
+            TKET_ASSERT(false);
+            break;  // Cannot hit this case
+        }
+        break;
+      }
+      case Pauli::Y: {
+        switch (pauli1.get(qb)) {
+          case Pauli::X:
+            u.add_op<Qubit>(OpType::V, {qb});
+            break;
+          case Pauli::Z:
+            u.add_op<Qubit>(OpType::V, {qb});
+            u.add_op<Qubit>(OpType::S, {qb});
+            break;
+          default:
+            TKET_ASSERT(false);
+            break;  // Cannot hit this case
+        }
+        break;
+      }
+      default: {  // Necessarily Z
+        if (pauli1.get(qb) == Pauli::Y) u.add_op<Qubit>(OpType::Sdg, {qb});
+        // No need to act if already X
+      }
+    }
+    pauli0.set(qb, Pauli::Z);
+    pauli1.set(qb, Pauli::X);
+  }
+
+  /*
+   * Step 2.iii: Remove the final matching qubit against a mismatch if one
+   * exists, otherwise remove into another qubit
+   */
+  if (!match.empty()) {
+    Qubit last_match = *match.begin();
+    if (!mismatch.empty()) {
+      Qubit mismatch_used =
+          *mismatch.rbegin();  // Prefer to use the one that may be left over
+                               // after reducing pairs
+      u.add_op<Qubit>(OpType::S, {mismatch_used});
+      u.add_op<Qubit>(OpType::CX, {last_match, mismatch_used});
+      u.add_op<Qubit>(OpType::Sdg, {mismatch_used});
+      pauli0.string.erase(last_match);
+      pauli1.string.erase(last_match);
+    } else {
+      std::optional<std::pair<Qubit, Pauli>> other;
+      for (const std::pair<const Qubit, Pauli> &qp : pauli0.string) {
+        if (qp.first != last_match && qp.second != Pauli::I) {
+          other = qp;
+          pauli0.string.erase(last_match);
+          break;
+        }
+      }
+      if (!other) {
+        for (const std::pair<const Qubit, Pauli> &qp : pauli1.string) {
+          if (qp.first != last_match && qp.second != Pauli::I) {
+            other = qp;
+            pauli1.string.erase(last_match);
+            break;
+          }
+        }
+        if (!other)
+          throw std::logic_error(
+              "Cannot reduce identical Paulis to different qubits");
+      }
+      if (other->second == Pauli::X) {
+        u.add_op<Qubit>(OpType::H, {other->first});
+        u.add_op<Qubit>(OpType::CX, {last_match, other->first});
+        u.add_op<Qubit>(OpType::H, {other->first});
+      } else {
+        u.add_op<Qubit>(OpType::CX, {last_match, other->first});
+      }
+    }
+  }
+
+  /*
+   * Step 2.iv: Reduce pairs of mismatches to different qubits.
+   * Allow both gadgets to build a remaining qubit if it exists.
+   */
+  std::optional<Qubit> last_mismatch = std::nullopt;
+  std::set<Qubit>::iterator mis_it = mismatch.begin();
+  while (mis_it != mismatch.end()) {
+    Qubit z_in_0 = *mis_it;
+    mis_it++;
+    if (mis_it != mismatch.end()) {
+      Qubit x_in_1 = *mis_it;
+      u.add_op<Qubit>(OpType::CX, {x_in_1, z_in_0});
+      pauli0.string.erase(x_in_1);
+      pauli1.string.erase(z_in_0);
+      mis_it++;
+    } else {
+      last_mismatch = z_in_0;
+    }
+  }
+
+  return {u, last_mismatch};
+}
+
+std::pair<Circuit, Qubit> reduce_anticommuting_paulis_to_z_x(
+    SpPauliStabiliser pauli0, SpPauliStabiliser pauli1,
+    CXConfigType cx_config) {
+  std::pair<Circuit, std::optional<Qubit>> reduced_overlap =
+      reduce_overlap_of_paulis(pauli0, pauli1, cx_config);
+  Circuit &u = reduced_overlap.first;
+  if (!reduced_overlap.second)
+    throw std::logic_error("No overlap for anti-commuting paulis");
+  Qubit &last_mismatch = *reduced_overlap.second;
+
+  /**
+   * Reduce each remaining Pauli to the shared mismatching qubit.
+   * Since reduce_pauli_to_Z does not allow us to pick the final qubit, we
+   * reserve the mismatching qubit, call reduce_pauli_to_Z on the rest, and add
+   * a CX.
+   */
+  pauli0.string.erase(last_mismatch);
+  pauli0.compress();
+  if (!pauli0.string.empty()) {
+    std::pair<Circuit, Qubit> diag0 = reduce_pauli_to_z(pauli0, cx_config);
+    u.append(diag0.first);
+    u.add_op<Qubit>(OpType::CX, {diag0.second, last_mismatch});
+  }
+  pauli1.compress();
+  pauli1.string.erase(last_mismatch);
+  if (!pauli1.string.empty()) {
+    std::pair<Circuit, Qubit> diag1 = reduce_pauli_to_z(pauli1, cx_config);
+    u.append(diag1.first);
+    u.add_op<Qubit>(OpType::H, {last_mismatch});
+    u.add_op<Qubit>(OpType::CX, {diag1.second, last_mismatch});
+    u.add_op<Qubit>(OpType::H, {last_mismatch});
+  }
+
+  return {u, last_mismatch};
+}
+
+std::tuple<Circuit, Qubit, Qubit> reduce_commuting_paulis_to_zi_iz(
+    SpPauliStabiliser pauli0, SpPauliStabiliser pauli1,
+    CXConfigType cx_config) {
+  std::pair<Circuit, std::optional<Qubit>> reduced_overlap =
+      reduce_overlap_of_paulis(pauli0, pauli1, cx_config);
+  Circuit &u = reduced_overlap.first;
+  if (reduced_overlap.second)
+    throw std::logic_error("Overlap remaining for commuting paulis");
+
+  /**
+   * Reduce each remaining Pauli to a single qubit.
+   */
+  std::pair<Circuit, Qubit> diag0 = reduce_pauli_to_z(pauli0, cx_config);
+  u.append(diag0.first);
+  std::pair<Circuit, Qubit> diag1 = reduce_pauli_to_z(pauli1, cx_config);
+  u.append(diag1.first);
+
+  return {u, diag0.second, diag1.second};
+}
+
 }  // namespace tket
diff --git a/tket/src/Transformations/PauliOptimisation.cpp b/tket/src/Transformations/PauliOptimisation.cpp
index 003c5e228c..e393c18731 100644
--- a/tket/src/Transformations/PauliOptimisation.cpp
+++ b/tket/src/Transformations/PauliOptimisation.cpp
@@ -14,8 +14,8 @@
 
 #include "tket/Transformations/PauliOptimisation.hpp"
 
+#include "tket/Circuit/CircUtils.hpp"
 #include "tket/Converters/Converters.hpp"
-#include "tket/Converters/PauliGadget.hpp"
 #include "tket/OpType/OpType.hpp"
 #include "tket/OpType/OpTypeInfo.hpp"
 #include "tket/Ops/Op.hpp"
@@ -168,14 +168,14 @@ Transform pairwise_pauli_gadgets(CXConfigType cx_config) {
     // Synthesise pairs of Pauli Gadgets
     unsigned g = 0;
     while (g + 1 < pauli_gadgets.size()) {
-      append_pauli_gadget_pair(
-          gadget_circ, pauli_gadgets[g], pauli_gadgets[g + 1], cx_config);
+      gadget_circ.append(
+          pauli_gadget_pair(pauli_gadgets[g], pauli_gadgets[g + 1], cx_config));
       g += 2;
     }
     // As we synthesised Pauli gadgets 2 at a time, if there were an odd
     // number, we will have one left over, so add that one on its own
     if (g < pauli_gadgets.size()) {
-      append_single_pauli_gadget(gadget_circ, pauli_gadgets[g], cx_config);
+      gadget_circ.append(pauli_gadget(pauli_gadgets[g], cx_config));
     }
     // Stitch gadget circuit and Clifford circuit together
     circ = gadget_circ >> clifford_circ;
diff --git a/tket/test/CMakeLists.txt b/tket/test/CMakeLists.txt
index 37b4eed2be..1074497da3 100644
--- a/tket/test/CMakeLists.txt
+++ b/tket/test/CMakeLists.txt
@@ -121,6 +121,7 @@ add_executable(test-tket
     src/Circuit/test_ConjugationBox.cpp
     src/test_UnitaryTableau.cpp
     src/test_ChoiMixTableau.cpp
+    src/test_Diagonalisation.cpp
     src/test_PhasePolynomials.cpp
     src/test_PauliGraph.cpp
     src/test_Architectures.cpp
diff --git a/tket/test/src/test_ChoiMixTableau.cpp b/tket/test/src/test_ChoiMixTableau.cpp
index c6b87d72ef..d8ea2f3247 100644
--- a/tket/test/src/test_ChoiMixTableau.cpp
+++ b/tket/test/src/test_ChoiMixTableau.cpp
@@ -15,6 +15,7 @@
 #include <catch2/catch_test_macros.hpp>
 
 #include "testutil.hpp"
+#include "tket/Circuit/Simulation/CircuitSimulator.hpp"
 #include "tket/Converters/Converters.hpp"
 
 namespace tket {
@@ -60,6 +61,12 @@ static ChoiMixTableau get_tableau_with_gates_applied_at_front() {
       OpType::CX, {Qubit(0), Qubit(1)}, ChoiMixTableau::TableauSegment::Input);
   return tab;
 }
+static qubit_map_t inv_perm(const qubit_map_t& perm) {
+  qubit_map_t inv;
+  for (const std::pair<const Qubit, Qubit>& qp : perm)
+    inv.insert({qp.second, qp.first});
+  return inv;
+}
 
 SCENARIO("Correct creation of ChoiMixTableau") {
   GIVEN(
@@ -89,7 +96,7 @@ SCENARIO("Correct creation of ChoiMixTableau") {
         tab.get_row_product({0, 1}) ==
         ChoiMixTableau::row_tensor_t{
             SpPauliStabiliser(Qubit(0), Pauli::Y),
-            SpPauliStabiliser(Qubit(0), Pauli::Y, 2)});
+            SpPauliStabiliser(Qubit(0), Pauli::Y)});
     THEN("Serialize and deserialize") {
       nlohmann::json j_tab = tab;
       ChoiMixTableau tab2{{}};
@@ -174,12 +181,10 @@ SCENARIO("Correct creation of ChoiMixTableau") {
                               SpPauliStabiliser(Qubit(0), Pauli::Z),
                               SpPauliStabiliser(Qubit(0), Pauli::Z)});
     // Affecting the input segment should give the same effect as for
-    // UnitaryRevTableau (since lhs is transposed, +Y is flipped to -Y, and
-    // phase is returned on rhs)
+    // UnitaryRevTableau
     REQUIRE(
-        tab.get_row(2) ==
-        ChoiMixTableau::row_tensor_t{
-            SpPauliStabiliser(Qubit(1), Pauli::Y), SpPauliStabiliser({}, 2)});
+        tab.get_row(2) == ChoiMixTableau::row_tensor_t{
+                              SpPauliStabiliser(Qubit(1), Pauli::Y), {}});
     // Affecting the output segment should give the same effect as for
     // UnitaryTableau
     REQUIRE(
@@ -197,9 +202,8 @@ SCENARIO("Correct creation of ChoiMixTableau") {
                               SpPauliStabiliser(Qubit(0), Pauli::Z),
                               SpPauliStabiliser(Qubit(0), Pauli::Y, 2)});
     REQUIRE(
-        tab.get_row(2) ==
-        ChoiMixTableau::row_tensor_t{
-            SpPauliStabiliser(Qubit(1), Pauli::Y), SpPauliStabiliser({}, 2)});
+        tab.get_row(2) == ChoiMixTableau::row_tensor_t{
+                              SpPauliStabiliser(Qubit(1), Pauli::Y), {}});
     REQUIRE(
         tab.get_row(3) == ChoiMixTableau::row_tensor_t{
                               {}, SpPauliStabiliser(Qubit(2), Pauli::Y, 2)});
@@ -215,9 +219,8 @@ SCENARIO("Correct creation of ChoiMixTableau") {
                               SpPauliStabiliser(Qubit(0), Pauli::Z),
                               SpPauliStabiliser(Qubit(0), Pauli::Z, 2)});
     REQUIRE(
-        tab.get_row(2) ==
-        ChoiMixTableau::row_tensor_t{
-            SpPauliStabiliser(Qubit(1), Pauli::Y), SpPauliStabiliser({}, 2)});
+        tab.get_row(2) == ChoiMixTableau::row_tensor_t{
+                              SpPauliStabiliser(Qubit(1), Pauli::Y), {}});
     REQUIRE(
         tab.get_row(3) == ChoiMixTableau::row_tensor_t{
                               {}, SpPauliStabiliser(Qubit(2), Pauli::Y, 2)});
@@ -449,17 +452,21 @@ SCENARIO("Synthesis of circuits from ChoiMixTableaus") {
   GIVEN("An identity circuit") {
     Circuit circ(3);
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    Circuit res = cm_tableau_to_circuit(tab).first;
+    Circuit res = cm_tableau_to_exact_circuit(tab).first;
+    REQUIRE(res == circ);
+    res = cm_tableau_to_unitary_extension_circuit(tab).first;
     REQUIRE(res == circ);
   }
   GIVEN("Just some Pauli gates for phase tests") {
     Circuit circ(4);
     circ.add_op<unsigned>(OpType::X, {1});
-    circ.add_op<unsigned>(OpType::X, {2});
     circ.add_op<unsigned>(OpType::Z, {2});
+    circ.add_op<unsigned>(OpType::X, {2});
     circ.add_op<unsigned>(OpType::Z, {3});
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    Circuit res = cm_tableau_to_circuit(tab).first;
+    Circuit res = cm_tableau_to_exact_circuit(tab).first;
+    REQUIRE(res == circ);
+    res = cm_tableau_to_unitary_extension_circuit(tab).first;
     REQUIRE(res == circ);
   }
   GIVEN("Iterate through single-qubit Cliffords with all entanglements") {
@@ -480,7 +487,9 @@ SCENARIO("Synthesis of circuits from ChoiMixTableaus") {
       if ((i / 9) % 3 == 1) circ.add_op<unsigned>(OpType::S, {0});
       if ((i / 9) % 3 == 2) circ.add_op<unsigned>(OpType::Sdg, {0});
       ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-      Circuit res = cm_tableau_to_circuit(tab).first;
+      Circuit res = cm_tableau_to_exact_circuit(tab).first;
+      Circuit res_uni = cm_tableau_to_unitary_extension_circuit(tab).first;
+      REQUIRE(res == res_uni);
       ChoiMixTableau res_tab = circuit_to_cm_tableau(res);
       REQUIRE(res_tab == tab);
       REQUIRE(test_unitary_comparison(circ, res, true));
@@ -489,10 +498,15 @@ SCENARIO("Synthesis of circuits from ChoiMixTableaus") {
   GIVEN("A unitary circuit") {
     Circuit circ = get_test_circ();
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    Circuit res = cm_tableau_to_circuit(tab).first;
-    ChoiMixTableau res_tab = circuit_to_cm_tableau(res);
+    std::pair<Circuit, qubit_map_t> res = cm_tableau_to_exact_circuit(tab);
+    res.first.permute_boundary_output(inv_perm(res.second));
+    std::pair<Circuit, qubit_map_t> res_uni =
+        cm_tableau_to_unitary_extension_circuit(tab);
+    res_uni.first.permute_boundary_output(inv_perm(res_uni.second));
+    REQUIRE(res.first == res_uni.first);
+    ChoiMixTableau res_tab = circuit_to_cm_tableau(res.first);
     REQUIRE(res_tab == tab);
-    REQUIRE(test_unitary_comparison(circ, res, true));
+    REQUIRE(test_unitary_comparison(circ, res.first, true));
   }
   GIVEN("Check unitary equivalence by calculating matrix") {
     Circuit circ(4);
@@ -501,21 +515,69 @@ SCENARIO("Synthesis of circuits from ChoiMixTableaus") {
     circ.add_op<unsigned>(OpType::ISWAPMax, {0, 3});
     circ.add_op<unsigned>(OpType::SX, {1});
     circ.add_op<unsigned>(OpType::SXdg, {2});
+    circ.add_op<unsigned>(OpType::CY, {1, 3});
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    Circuit res = cm_tableau_to_circuit(tab).first;
-    REQUIRE(test_unitary_comparison(circ, res, true));
+    std::pair<Circuit, qubit_map_t> res = cm_tableau_to_exact_circuit(tab);
+    res.first.permute_boundary_output(inv_perm(res.second));
+    std::pair<Circuit, qubit_map_t> res_uni =
+        cm_tableau_to_unitary_extension_circuit(tab);
+    res_uni.first.permute_boundary_output(inv_perm(res_uni.second));
+    REQUIRE(res.first == res_uni.first);
+    REQUIRE(test_unitary_comparison(circ, res.first, true));
+    THEN("Build the tableau manually for apply_gate coverage on inputs") {
+      ChoiMixTableau rev_tab(4);
+      rev_tab.apply_gate(
+          OpType::CY, {Qubit(1), Qubit(3)},
+          ChoiMixTableau::TableauSegment::Input);
+      rev_tab.apply_gate(
+          OpType::SXdg, {Qubit(2)}, ChoiMixTableau::TableauSegment::Input);
+      rev_tab.apply_gate(
+          OpType::SX, {Qubit(1)}, ChoiMixTableau::TableauSegment::Input);
+      rev_tab.apply_gate(
+          OpType::ISWAPMax, {Qubit(0), Qubit(3)},
+          ChoiMixTableau::TableauSegment::Input);
+      rev_tab.apply_gate(
+          OpType::ECR, {Qubit(2), Qubit(3)},
+          ChoiMixTableau::TableauSegment::Input);
+      rev_tab.apply_gate(
+          OpType::ZZMax, {Qubit(0), Qubit(1)},
+          ChoiMixTableau::TableauSegment::Input);
+      rev_tab.canonical_column_order();
+      rev_tab.gaussian_form();
+      REQUIRE(tab == rev_tab);
+    }
   }
   GIVEN("A Clifford state") {
     Circuit circ = get_test_circ();
     circ.qubit_create_all();
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    Circuit res = cm_tableau_to_circuit(tab).first;
+    Circuit res = cm_tableau_to_exact_circuit(tab).first;
+    ChoiMixTableau res_tab = circuit_to_cm_tableau(res);
+    REQUIRE(res_tab == tab);
+    Circuit res_uni =
+        cm_tableau_to_unitary_extension_circuit(tab, circ.all_qubits()).first;
+    REQUIRE(test_statevector_comparison(res, res_uni, true));
+  }
+  GIVEN("A partial Clifford state (tests mixed initialisations)") {
+    Circuit circ(3);
+    add_ops_list_one_to_circuit(circ);
+    circ.add_op<unsigned>(OpType::Collapse, {1});
+    circ.qubit_create_all();
+    ChoiMixTableau tab = circuit_to_cm_tableau(circ);
+    Circuit res = cm_tableau_to_exact_circuit(tab).first;
+    CHECK(res.created_qubits().size() == 3);
+    CHECK(res.discarded_qubits().size() == 0);
+    CHECK(res.count_gates(OpType::Collapse) == 1);
     ChoiMixTableau res_tab = circuit_to_cm_tableau(res);
-    tab.canonical_column_order();
-    tab.gaussian_form();
-    res_tab.canonical_column_order();
-    res_tab.gaussian_form();
     REQUIRE(res_tab == tab);
+    Circuit res_uni =
+        cm_tableau_to_unitary_extension_circuit(tab, circ.all_qubits()).first;
+    Eigen::VectorXcd res_sv = tket_sim::get_statevector(res_uni);
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      ChoiMixTableau::row_tensor_t rrow = tab.get_row(r);
+      Eigen::MatrixXcd outmat = rrow.second.to_sparse_matrix(3);
+      CHECK((outmat * res_sv).isApprox(res_sv));
+    }
   }
   GIVEN("A total diagonalisation circuit") {
     Circuit circ = get_test_circ();
@@ -523,9 +585,14 @@ SCENARIO("Synthesis of circuits from ChoiMixTableaus") {
       circ.add_op<unsigned>(OpType::Collapse, {i});
     }
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    Circuit res = cm_tableau_to_circuit(tab).first;
+    Circuit res = cm_tableau_to_exact_circuit(tab).first;
     ChoiMixTableau res_tab = circuit_to_cm_tableau(res);
     REQUIRE(res_tab == tab);
+    // Test unitary synthesis by statevector of dagger
+    Circuit as_state = get_test_circ().dagger();
+    Circuit res_uni_dag =
+        cm_tableau_to_unitary_extension_circuit(tab).first.dagger();
+    REQUIRE(test_statevector_comparison(as_state, res_uni_dag, true));
   }
   GIVEN("A partial diagonalisation circuit") {
     Circuit circ = get_test_circ();
@@ -534,18 +601,26 @@ SCENARIO("Synthesis of circuits from ChoiMixTableaus") {
     }
     circ.qubit_discard(Qubit(0));
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    std::pair<Circuit, unit_map_t> res = cm_tableau_to_circuit(tab);
+    std::pair<Circuit, qubit_map_t> res = cm_tableau_to_exact_circuit(tab);
     ChoiMixTableau res_tab = circuit_to_cm_tableau(res.first);
     qubit_map_t perm;
-    for (const std::pair<const UnitID, UnitID>& p : res.second) {
-      perm.insert({Qubit(p.second), Qubit(p.first)});
+    for (const std::pair<const Qubit, Qubit>& p : res.second) {
+      perm.insert({p.second, p.first});
     }
     res_tab.rename_qubits(perm, ChoiMixTableau::TableauSegment::Output);
-    tab.canonical_column_order();
-    tab.gaussian_form();
     res_tab.canonical_column_order();
     res_tab.gaussian_form();
     REQUIRE(res_tab == tab);
+    Circuit res_uni_dag =
+        cm_tableau_to_unitary_extension_circuit(tab).first.dagger();
+    Eigen::VectorXcd as_state = tket_sim::get_statevector(res_uni_dag);
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      ChoiMixTableau::row_tensor_t rrow = tab.get_row(r);
+      CmplxSpMat rmat = rrow.first.to_sparse_matrix(3);
+      if (rrow.second.is_real_negative()) rmat *= -1.;
+      Eigen::MatrixXcd rmatd = rmat;
+      CHECK((rmat * as_state).isApprox(as_state));
+    }
   }
   GIVEN("Another circuit for extra test coverage in row reductions") {
     Circuit circ(5);
@@ -564,13 +639,24 @@ SCENARIO("Synthesis of circuits from ChoiMixTableaus") {
     circ.add_op<unsigned>(OpType::Collapse, {4});
     circ.add_op<unsigned>(OpType::H, {4});
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    Circuit res = cm_tableau_to_circuit(tab).first;
-    ChoiMixTableau res_tab = circuit_to_cm_tableau(res);
-    tab.canonical_column_order();
-    tab.gaussian_form();
-    res_tab.canonical_column_order();
-    res_tab.gaussian_form();
+    std::pair<Circuit, qubit_map_t> res = cm_tableau_to_exact_circuit(tab);
+    res.first.permute_boundary_output(inv_perm(res.second));
+    ChoiMixTableau res_tab = circuit_to_cm_tableau(res.first);
     REQUIRE(res_tab == tab);
+    std::pair<Circuit, qubit_map_t> res_uni =
+        cm_tableau_to_unitary_extension_circuit(tab);
+    res_uni.first.permute_boundary_output(inv_perm(res_uni.second));
+    res_tab = circuit_to_cm_tableau(res_uni.first);
+    res_tab.tab_.row_mult(0, 1);
+    Eigen::MatrixXcd res_u = tket_sim::get_unitary(res_uni.first);
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      ChoiMixTableau::row_tensor_t rrow = tab.get_row(r);
+      CmplxSpMat inmat = rrow.first.to_sparse_matrix(5);
+      Eigen::MatrixXcd inmatd = inmat;
+      CmplxSpMat outmat = rrow.second.to_sparse_matrix(5);
+      Eigen::MatrixXcd outmatd = outmat;
+      CHECK((outmatd * res_u * inmatd).isApprox(res_u));
+    }
   }
   GIVEN("An isometry") {
     Circuit circ(5);
@@ -586,18 +672,36 @@ SCENARIO("Synthesis of circuits from ChoiMixTableaus") {
     circ.add_op<unsigned>(OpType::CX, {1, 2});
     circ.add_op<unsigned>(OpType::CX, {1, 0});
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    std::pair<Circuit, unit_map_t> res = cm_tableau_to_circuit(tab);
+    std::pair<Circuit, qubit_map_t> res = cm_tableau_to_exact_circuit(tab);
     ChoiMixTableau res_tab = circuit_to_cm_tableau(res.first);
     qubit_map_t perm;
-    for (const std::pair<const UnitID, UnitID>& p : res.second) {
-      perm.insert({Qubit(p.second), Qubit(p.first)});
+    for (const std::pair<const Qubit, Qubit>& p : res.second) {
+      perm.insert({p.second, p.first});
     }
     res_tab.rename_qubits(perm, ChoiMixTableau::TableauSegment::Output);
-    tab.canonical_column_order();
-    tab.gaussian_form();
     res_tab.canonical_column_order();
     res_tab.gaussian_form();
     REQUIRE(res_tab == tab);
+    std::pair<Circuit, qubit_map_t> res_uni =
+        cm_tableau_to_unitary_extension_circuit(
+            tab, {Qubit(1), Qubit(2), Qubit(3)});
+    Eigen::MatrixXcd res_u = tket_sim::get_unitary(res_uni.first);
+    Eigen::MatrixXcd init_proj = Eigen::MatrixXcd::Zero(32, 32);
+    init_proj.block(0, 0, 2, 2) = Eigen::MatrixXcd::Identity(2, 2);
+    init_proj.block(16, 16, 2, 2) = Eigen::MatrixXcd::Identity(2, 2);
+    Eigen::MatrixXcd res_iso = res_u * init_proj;
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      ChoiMixTableau::row_tensor_t rrow = tab.get_row(r);
+      CmplxSpMat inmat = rrow.first.to_sparse_matrix(5);
+      Eigen::MatrixXcd inmatd = inmat;
+      QubitPauliMap outstr;
+      for (const std::pair<const Qubit, Pauli>& qp : rrow.second.string)
+        outstr.insert({res_uni.second.at(qp.first), qp.second});
+      CmplxSpMat outmat = SpPauliString(outstr).to_sparse_matrix(5);
+      Eigen::MatrixXcd outmatd = outmat;
+      if (rrow.second.is_real_negative()) outmatd *= -1.;
+      CHECK((outmatd * res_iso * inmatd).isApprox(res_iso));
+    }
   }
   GIVEN("Extra coverage for isometries") {
     Circuit circ(5);
@@ -615,18 +719,211 @@ SCENARIO("Synthesis of circuits from ChoiMixTableaus") {
     circ.add_op<unsigned>(OpType::CX, {1, 2});
     circ.add_op<unsigned>(OpType::CX, {1, 0});
     ChoiMixTableau tab = circuit_to_cm_tableau(circ);
-    std::pair<Circuit, unit_map_t> res = cm_tableau_to_circuit(tab);
+    std::pair<Circuit, qubit_map_t> res = cm_tableau_to_exact_circuit(tab);
     ChoiMixTableau res_tab = circuit_to_cm_tableau(res.first);
     qubit_map_t perm;
-    for (const std::pair<const UnitID, UnitID>& p : res.second) {
-      perm.insert({Qubit(p.second), Qubit(p.first)});
+    for (const std::pair<const Qubit, Qubit>& p : res.second) {
+      perm.insert({p.second, p.first});
     }
     res_tab.rename_qubits(perm, ChoiMixTableau::TableauSegment::Output);
+    res_tab.canonical_column_order();
+    res_tab.gaussian_form();
+    REQUIRE(res_tab == tab);
+    std::pair<Circuit, qubit_map_t> res_uni =
+        cm_tableau_to_unitary_extension_circuit(
+            tab, {Qubit(1), Qubit(2), Qubit(3)});
+    Eigen::MatrixXcd res_u = tket_sim::get_unitary(res_uni.first);
+    Eigen::MatrixXcd init_proj = Eigen::MatrixXcd::Zero(32, 32);
+    init_proj.block(0, 0, 2, 2) = Eigen::MatrixXcd::Identity(2, 2);
+    init_proj.block(16, 16, 2, 2) = Eigen::MatrixXcd::Identity(2, 2);
+    Eigen::MatrixXcd res_iso = res_u * init_proj;
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      ChoiMixTableau::row_tensor_t rrow = tab.get_row(r);
+      CmplxSpMat inmat = rrow.first.to_sparse_matrix(5);
+      Eigen::MatrixXcd inmatd = inmat;
+      QubitPauliMap outstr;
+      for (const std::pair<const Qubit, Pauli>& qp : rrow.second.string)
+        outstr.insert({res_uni.second.at(qp.first), qp.second});
+      CmplxSpMat outmat = SpPauliString(outstr).to_sparse_matrix(5);
+      Eigen::MatrixXcd outmatd = outmat;
+      if (rrow.second.is_real_negative()) outmatd *= -1.;
+      CHECK((outmatd * res_iso * inmatd).isApprox(res_iso));
+    }
+  }
+  GIVEN("Synthesising a tableau requiring post-selection") {
+    Circuit circ = get_test_circ();
+    ChoiMixTableau tab = circuit_to_cm_tableau(circ);
+    tab.post_select(Qubit(0), ChoiMixTableau::TableauSegment::Output);
+    std::pair<Circuit, qubit_map_t> res_uni =
+        cm_tableau_to_unitary_extension_circuit(tab, {}, {Qubit(0)});
+    Eigen::MatrixXcd res_u = tket_sim::get_unitary(res_uni.first);
+    // q[0] was removed from the tableau by postselection so need to infer
+    // position in res_uni.second from the other qubits
+    SpPauliString zzz({Pauli::Z, Pauli::Z, Pauli::Z});
+    zzz.set(res_uni.second.at(Qubit(1)), Pauli::I);
+    zzz.set(res_uni.second.at(Qubit(2)), Pauli::I);
+    Eigen::MatrixXcd z0 = zzz.to_sparse_matrix(3);
+    Eigen::MatrixXcd res_proj = 0.5 * (res_u + (z0 * res_u));
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      ChoiMixTableau::row_tensor_t rrow = tab.get_row(r);
+      CmplxSpMat inmat = rrow.first.to_sparse_matrix(3);
+      Eigen::MatrixXcd inmatd = inmat;
+      QubitPauliMap outstr;
+      for (const std::pair<const Qubit, Pauli>& qp : rrow.second.string)
+        outstr.insert({res_uni.second.at(qp.first), qp.second});
+      CmplxSpMat outmat = SpPauliString(outstr).to_sparse_matrix(3);
+      Eigen::MatrixXcd outmatd = outmat;
+      if (rrow.second.is_real_negative()) outmatd *= -1.;
+      CHECK((outmatd * res_proj * inmatd).isApprox(res_proj));
+    }
+  }
+  GIVEN("Synthesising a tableau with all post-selections") {
+    Circuit circ = get_test_circ();
+    ChoiMixTableau tab = circuit_to_cm_tableau(circ);
+    tab.post_select(Qubit(0), ChoiMixTableau::TableauSegment::Output);
+    tab.post_select(Qubit(1), ChoiMixTableau::TableauSegment::Output);
+    tab.post_select(Qubit(2), ChoiMixTableau::TableauSegment::Output);
+    Circuit res = cm_tableau_to_unitary_extension_circuit(
+                      tab, {}, {Qubit(0), Qubit(1), Qubit(2)})
+                      .first.dagger();
+    Eigen::VectorXcd res_sv = tket_sim::get_statevector(res);
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      ChoiMixTableau::row_tensor_t rrow = tab.get_row(r);
+      Eigen::MatrixXcd inmat = rrow.first.to_sparse_matrix(3);
+      if (rrow.second.is_real_negative()) inmat *= -1.;
+      CHECK((inmat * res_sv).isApprox(res_sv));
+    }
+  }
+  GIVEN("Initialisations, collapses, discards and post-selections") {
+    Circuit circ(5);
+    circ.qubit_create(Qubit(1));
+    circ.qubit_create(Qubit(2));
+    circ.add_op<unsigned>(OpType::H, {4});
+    circ.add_op<unsigned>(OpType::Collapse, {4});
+    circ.add_op<unsigned>(OpType::CX, {4, 1});
+    circ.add_op<unsigned>(OpType::CX, {4, 2});
+    circ.add_op<unsigned>(OpType::CX, {4, 3});
+    circ.add_op<unsigned>(OpType::H, {4});
+    circ.add_op<unsigned>(OpType::H, {1});
+    circ.add_op<unsigned>(OpType::V, {2});
+    circ.add_op<unsigned>(OpType::CX, {1, 2});
+    circ.add_op<unsigned>(OpType::CX, {1, 0});
+    circ.qubit_discard(Qubit(0));
+    ChoiMixTableau tab = circuit_to_cm_tableau(circ);
+    tab.post_select(Qubit(3), ChoiMixTableau::TableauSegment::Output);
     tab.canonical_column_order();
     tab.gaussian_form();
+    std::pair<Circuit, qubit_map_t> res_uni =
+        cm_tableau_to_unitary_extension_circuit(tab, {Qubit(1)}, {Qubit(0)});
+    // First rebuild tableau by initialising, post-selecting, etc.
+    ChoiMixTableau res_tab = circuit_to_cm_tableau(res_uni.first);
+    qubit_map_t perm;
+    for (const std::pair<const Qubit, Qubit>& p : res_uni.second)
+      perm.insert({p.second, p.first});
+    res_tab.rename_qubits(perm, ChoiMixTableau::TableauSegment::Output);
+    // Post-select/initialise
+    res_tab.post_select(Qubit(1), ChoiMixTableau::TableauSegment::Input);
+    res_tab.post_select(Qubit(0), ChoiMixTableau::TableauSegment::Output);
+    // Collapsing q[4] in X basis as per circ
+    res_tab.apply_gate(
+        OpType::H, {Qubit(4)}, ChoiMixTableau::TableauSegment::Output);
+    res_tab.collapse_qubit(Qubit(4), ChoiMixTableau::TableauSegment::Output);
+    res_tab.apply_gate(
+        OpType::H, {Qubit(4)}, ChoiMixTableau::TableauSegment::Output);
+    // Discarding q[0] also removes Z row for q[0], so recreate this by
+    // XCollapse at input
+    res_tab.apply_gate(
+        OpType::H, {Qubit(0)}, ChoiMixTableau::TableauSegment::Input);
+    res_tab.collapse_qubit(Qubit(0), ChoiMixTableau::TableauSegment::Input);
+    res_tab.apply_gate(
+        OpType::H, {Qubit(0)}, ChoiMixTableau::TableauSegment::Input);
     res_tab.canonical_column_order();
     res_tab.gaussian_form();
     REQUIRE(res_tab == tab);
+
+    Eigen::MatrixXcd res_u = tket_sim::get_unitary(res_uni.first);
+    qubit_vector_t res_qbs = res_uni.first.all_qubits();
+    // q[1] has no input terms, so initialise it
+    SpPauliString z1({Qubit(1), Pauli::Z});
+    Eigen::MatrixXcd z1u = z1.to_sparse_matrix(res_qbs);
+    res_u = 0.5 * (res_u + (res_u * z1u));
+    // q[0] has no output terms, so postselect it
+    SpPauliString z0({res_uni.second.at(Qubit(0)), Pauli::Z});
+    Eigen::MatrixXcd z0u = z0.to_sparse_matrix(res_qbs);
+    res_u = 0.5 * (res_u + (z0u * res_u));
+
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      ChoiMixTableau::row_tensor_t rrow = tab.get_row(r);
+      Eigen::MatrixXcd inmat = rrow.first.to_sparse_matrix(res_qbs);
+      QubitPauliMap outstr;
+      for (const std::pair<const Qubit, Pauli>& qp : rrow.second.string)
+        outstr.insert({res_uni.second.at(qp.first), qp.second});
+      Eigen::MatrixXcd outmat = SpPauliString(outstr).to_sparse_matrix(res_qbs);
+      if (rrow.second.is_real_negative()) outmat *= -1.;
+      CHECK((outmat * res_u * inmat).isApprox(res_u));
+    }
+  }
+  GIVEN(
+      "A custom tableau with overlapping initialised and post-selected "
+      "qubits") {
+    std::list<ChoiMixTableau::row_tensor_t> rows{
+        {SpPauliStabiliser({Pauli::Z, Pauli::X, Pauli::I}), {}},
+        {SpPauliStabiliser({Pauli::X, Pauli::Y, Pauli::Z}), {}},
+        {{}, SpPauliStabiliser({Pauli::X, Pauli::X, Pauli::I})},
+        {{}, SpPauliStabiliser({Pauli::I, Pauli::X, Pauli::X})},
+        {SpPauliStabiliser({Pauli::I, Pauli::I, Pauli::Z}),
+         SpPauliStabiliser({Pauli::Z, Pauli::Z, Pauli::Z})},
+        {SpPauliStabiliser({Pauli::Z, Pauli::I, Pauli::X}),
+         SpPauliStabiliser({Pauli::I, Pauli::I, Pauli::X})},
+    };
+    ChoiMixTableau tab(rows);
+    REQUIRE_THROWS(cm_tableau_to_unitary_extension_circuit(tab));
+    std::pair<Circuit, qubit_map_t> res_uni =
+        cm_tableau_to_unitary_extension_circuit(
+            tab, {Qubit(3), Qubit(4)}, {Qubit(3), Qubit(4)});
+
+    ChoiMixTableau res_tab = circuit_to_cm_tableau(res_uni.first);
+    qubit_map_t perm;
+    for (const std::pair<const Qubit, Qubit>& p : res_uni.second)
+      perm.insert({p.second, p.first});
+    res_tab.rename_qubits(perm, ChoiMixTableau::TableauSegment::Output);
+    res_tab.post_select(Qubit(3), ChoiMixTableau::TableauSegment::Input);
+    res_tab.post_select(Qubit(4), ChoiMixTableau::TableauSegment::Input);
+    res_tab.post_select(Qubit(3), ChoiMixTableau::TableauSegment::Output);
+    res_tab.post_select(Qubit(4), ChoiMixTableau::TableauSegment::Output);
+    res_tab.canonical_column_order();
+    res_tab.gaussian_form();
+    tab.canonical_column_order();
+    tab.gaussian_form();
+    REQUIRE(res_tab == tab);
+
+    Eigen::MatrixXcd res_u = tket_sim::get_unitary(res_uni.first);
+    qubit_vector_t res_qbs = res_uni.first.all_qubits();
+    // initialise q[3] and q[4]
+    SpPauliString z3i{Qubit(3), Pauli::Z};
+    Eigen::MatrixXcd z3iu = z3i.to_sparse_matrix(res_qbs);
+    res_u = 0.5 * (res_u + (res_u * z3iu));
+    SpPauliString z4i{Qubit(4), Pauli::Z};
+    Eigen::MatrixXcd z4iu = z4i.to_sparse_matrix(res_qbs);
+    res_u = 0.5 * (res_u + (res_u * z4iu));
+    // post-select q[3] and q[4]
+    SpPauliString z3o{res_uni.second.at(Qubit(3)), Pauli::Z};
+    Eigen::MatrixXcd z3ou = z3o.to_sparse_matrix(res_qbs);
+    res_u = 0.5 * (res_u + (z3ou * res_u));
+    SpPauliString z4o{res_uni.second.at(Qubit(4)), Pauli::Z};
+    Eigen::MatrixXcd z4ou = z4o.to_sparse_matrix(res_qbs);
+    res_u = 0.5 * (res_u + (z4ou * res_u));
+
+    for (unsigned r = 0; r < tab.get_n_rows(); ++r) {
+      ChoiMixTableau::row_tensor_t rrow = tab.get_row(r);
+      Eigen::MatrixXcd inmat = rrow.first.to_sparse_matrix(res_qbs);
+      QubitPauliMap outstr;
+      for (const std::pair<const Qubit, Pauli>& qp : rrow.second.string)
+        outstr.insert({res_uni.second.at(qp.first), qp.second});
+      Eigen::MatrixXcd outmat = SpPauliString(outstr).to_sparse_matrix(res_qbs);
+      if (rrow.second.is_real_negative()) outmat *= -1.;
+      CHECK((outmat * res_u * inmat).isApprox(res_u));
+    }
   }
 }
 
diff --git a/tket/test/src/test_Diagonalisation.cpp b/tket/test/src/test_Diagonalisation.cpp
new file mode 100644
index 0000000000..990d9695ca
--- /dev/null
+++ b/tket/test/src/test_Diagonalisation.cpp
@@ -0,0 +1,124 @@
+// Copyright 2019-2023 Cambridge Quantum Computing
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include <catch2/catch_test_macros.hpp>
+
+#include "tket/Circuit/Simulation/CircuitSimulator.hpp"
+#include "tket/Diagonalisation/Diagonalisation.hpp"
+
+namespace tket {
+
+namespace test_Diagonalisation {
+
+SCENARIO("Matrix tests for reducing a Pauli to Z") {
+  std::list<Pauli> test_paulis{Pauli::I, Pauli::X, Pauli::Y, Pauli::Z};
+  std::list<CXConfigType> test_configs = {
+      CXConfigType::Snake, CXConfigType::Tree, CXConfigType::Star,
+      CXConfigType::MultiQGate};
+  for (const Pauli& p : test_paulis) {
+    // If p is Pauli::I, it is dropped from the sparse representation in the
+    // constructor, so need to add Qubit(3) to the circuit and sparse matrix
+    // explicitly
+    SpPauliStabiliser pt({Pauli::X, Pauli::Y, Pauli::Z, p});
+    CmplxSpMat pt_u = pt.to_sparse_matrix(4);
+    Eigen::MatrixXcd pt_ud = pt_u;
+    for (const CXConfigType& config : test_configs) {
+      std::pair<Circuit, Qubit> diag = reduce_pauli_to_z(pt, config);
+      if (p == Pauli::I) diag.first.add_qubit(Qubit(3));
+      Eigen::MatrixXcd diag_u = tket_sim::get_unitary(diag.first);
+      CmplxSpMat z_u = SpPauliString(diag.second, Pauli::Z).to_sparse_matrix(4);
+      Eigen::MatrixXcd z_ud = z_u;
+      CHECK((z_ud * diag_u * pt_ud).isApprox(diag_u));
+    }
+  }
+}
+
+SCENARIO("Matrix tests for reducing two anticommuting Paulis to Z X") {
+  std::list<Pauli> non_trivials{Pauli::X, Pauli::Y, Pauli::Z};
+  std::list<CXConfigType> test_configs = {
+      CXConfigType::Snake, CXConfigType::Tree, CXConfigType::Star,
+      CXConfigType::MultiQGate};
+  // Loop through all commuting options for two qubits
+  for (const Pauli& p0 : non_trivials) {
+    for (const Pauli& p1 : non_trivials) {
+      SpPauliStabiliser p({Pauli::Z, p0, p1, Pauli::Z});
+      CmplxSpMat p_u = p.to_sparse_matrix();
+      Eigen::MatrixXcd p_ud = p_u;
+      for (const Pauli& q0 : non_trivials) {
+        for (const Pauli& q1 : non_trivials) {
+          SpPauliStabiliser q({Pauli::X, q0, q1, Pauli::Z});
+          if (p.commutes_with(q)) continue;
+          CmplxSpMat q_u = q.to_sparse_matrix();
+          Eigen::MatrixXcd q_ud = q_u;
+          for (const CXConfigType& config : test_configs) {
+            std::pair<Circuit, Qubit> diag =
+                reduce_anticommuting_paulis_to_z_x(p, q, config);
+            Eigen::MatrixXcd diag_u = tket_sim::get_unitary(diag.first);
+            CmplxSpMat z_u =
+                SpPauliString(diag.second, Pauli::Z).to_sparse_matrix(4);
+            Eigen::MatrixXcd z_ud = z_u;
+            CmplxSpMat x_u =
+                SpPauliString(diag.second, Pauli::X).to_sparse_matrix(4);
+            Eigen::MatrixXcd x_ud = x_u;
+            CHECK((z_ud * diag_u * p_ud).isApprox(diag_u));
+            CHECK((x_ud * diag_u * q_ud).isApprox(diag_u));
+          }
+        }
+      }
+    }
+  }
+}
+
+SCENARIO("Matrix tests for reducing two commuting Paulis to Z X") {
+  std::list<Pauli> paulis{Pauli::I, Pauli::X, Pauli::Y, Pauli::Z};
+  std::list<CXConfigType> test_configs = {
+      CXConfigType::Snake, CXConfigType::Tree, CXConfigType::Star,
+      CXConfigType::MultiQGate};
+  // Loop through all commuting options for two qubits
+  for (const Pauli& p0 : paulis) {
+    for (const Pauli& p1 : paulis) {
+      SpPauliStabiliser p({Pauli::Z, p0, p1, Pauli::Z});
+      CmplxSpMat p_u = p.to_sparse_matrix(4);
+      Eigen::MatrixXcd p_ud = p_u;
+      for (const Pauli& q0 : paulis) {
+        for (const Pauli& q1 : paulis) {
+          SpPauliStabiliser q({Pauli::Z, q0, q1, Pauli::I});
+          if (!p.commutes_with(q)) continue;
+          CmplxSpMat q_u = q.to_sparse_matrix(4);
+          Eigen::MatrixXcd q_ud = q_u;
+          for (const CXConfigType& config : test_configs) {
+            std::tuple<Circuit, Qubit, Qubit> diag =
+                reduce_commuting_paulis_to_zi_iz(p, q, config);
+            Circuit& circ = std::get<0>(diag);
+            // In cases with matching Pauli::Is, the circuit produced may not
+            // include all qubits
+            for (unsigned i = 0; i < 4; ++i) circ.add_qubit(Qubit(i), false);
+            Eigen::MatrixXcd diag_u = tket_sim::get_unitary(circ);
+            CmplxSpMat zi_u =
+                SpPauliString(std::get<1>(diag), Pauli::Z).to_sparse_matrix(4);
+            Eigen::MatrixXcd zi_ud = zi_u;
+            CmplxSpMat iz_u =
+                SpPauliString(std::get<2>(diag), Pauli::Z).to_sparse_matrix(4);
+            Eigen::MatrixXcd iz_ud = iz_u;
+            CHECK((zi_ud * diag_u * p_ud).isApprox(diag_u));
+            CHECK((iz_ud * diag_u * q_ud).isApprox(diag_u));
+          }
+        }
+      }
+    }
+  }
+}
+
+}  // namespace test_Diagonalisation
+}  // namespace tket
diff --git a/tket/test/src/test_PauliGraph.cpp b/tket/test/src/test_PauliGraph.cpp
index c8d4758dc4..6e85b53252 100644
--- a/tket/test/src/test_PauliGraph.cpp
+++ b/tket/test/src/test_PauliGraph.cpp
@@ -18,10 +18,10 @@
 #include "CircuitsForTesting.hpp"
 #include "testutil.hpp"
 #include "tket/Circuit/Boxes.hpp"
+#include "tket/Circuit/CircUtils.hpp"
 #include "tket/Circuit/PauliExpBoxes.hpp"
 #include "tket/Circuit/Simulation/CircuitSimulator.hpp"
 #include "tket/Converters/Converters.hpp"
-#include "tket/Converters/PauliGadget.hpp"
 #include "tket/Diagonalisation/Diagonalisation.hpp"
 #include "tket/Gate/SymTable.hpp"
 #include "tket/PauliGraph/ConjugatePauliFunctions.hpp"
@@ -920,13 +920,14 @@ SCENARIO("Diagonalise a pair of gadgets") {
 
   Circuit correct;
   for (unsigned i = 0; i < 2; ++i) {
-    append_single_pauli_gadget(correct, gadgets.at(i));
+    correct.append(pauli_gadget(gadgets.at(i)));
   }
   auto u_correct = tket_sim::get_unitary(correct);
 
   GIVEN("Snake configuration") {
     CXConfigType config = CXConfigType::Snake;
-    append_pauli_gadget_pair(circ, gadgets.at(0), gadgets.at(1), config);
+
+    circ.append(pauli_gadget_pair(gadgets.at(0), gadgets.at(1), config));
     THEN("Unitary is correct") {
       auto u_res = tket_sim::get_unitary(circ);
       REQUIRE((u_correct - u_res).cwiseAbs().sum() < ERR_EPS);
@@ -934,7 +935,7 @@ SCENARIO("Diagonalise a pair of gadgets") {
   }
   GIVEN("Star configuration") {
     CXConfigType config = CXConfigType::Star;
-    append_pauli_gadget_pair(circ, gadgets.at(0), gadgets.at(1), config);
+    circ.append(pauli_gadget_pair(gadgets.at(0), gadgets.at(1), config));
     THEN("Unitary is correct") {
       auto u_res = tket_sim::get_unitary(circ);
       REQUIRE((u_correct - u_res).cwiseAbs().sum() < ERR_EPS);
@@ -942,7 +943,7 @@ SCENARIO("Diagonalise a pair of gadgets") {
   }
   GIVEN("Tree configuration") {
     CXConfigType config = CXConfigType::Tree;
-    append_pauli_gadget_pair(circ, gadgets.at(0), gadgets.at(1), config);
+    circ.append(pauli_gadget_pair(gadgets.at(0), gadgets.at(1), config));
     THEN("Unitary is correct") {
       auto u_res = tket_sim::get_unitary(circ);
       REQUIRE((u_correct - u_res).cwiseAbs().sum() < ERR_EPS);
@@ -950,10 +951,11 @@ SCENARIO("Diagonalise a pair of gadgets") {
   }
   GIVEN("MultiQGate configuration") {
     CXConfigType config = CXConfigType::MultiQGate;
-    append_pauli_gadget_pair(circ, gadgets.at(0), gadgets.at(1), config);
-    circ.decompose_boxes_recursively();
-    THEN("XXPhase3 were used") {
-      REQUIRE(circ.count_gates(OpType::XXPhase3) == 2);
+    circ.append(pauli_gadget_pair(gadgets.at(0), gadgets.at(1), config));
+    THEN(
+        "XXPhase3 were used for both mutual reduction and individual gadgets") {
+      Transforms::decomp_boxes().apply(circ);
+      REQUIRE(circ.count_gates(OpType::XXPhase3) == 4);
     }
     THEN("Unitary is correct") {
       auto u_res = tket_sim::get_unitary(circ);
diff --git a/tket/test/src/test_PhaseGadget.cpp b/tket/test/src/test_PhaseGadget.cpp
index cf02d862d9..302ff95155 100644
--- a/tket/test/src/test_PhaseGadget.cpp
+++ b/tket/test/src/test_PhaseGadget.cpp
@@ -149,7 +149,8 @@ SCENARIO("Constructing Pauli gadgets") {
              1.*i_, 0., 0., 0.;
     // clang-format on
     Eigen::Matrix4cd m = (+0.5 * PI * i_ * t * a).exp();
-    Circuit circ = pauli_gadget({Pauli::X, Pauli::Y}, t);
+    Circuit circ =
+        pauli_gadget(SpSymPauliTensor(DensePauliMap{Pauli::X, Pauli::Y}, t));
     const Eigen::Matrix4cd u = tket_sim::get_unitary(circ);
     Eigen::Matrix4cd v = m * u;
     REQUIRE((v - Eigen::Matrix4cd::Identity()).cwiseAbs().sum() < ERR_EPS);
@@ -286,7 +287,7 @@ SCENARIO("Decompose phase gadgets") {
     for (unsigned i = 0; i < n_qubits; ++i) {
       nZ.push_back(Pauli::Z);
     }
-    Circuit pauli_gadget_circ = pauli_gadget(nZ, 0.2);
+    Circuit pauli_gadget_circ = pauli_gadget(SpSymPauliTensor(nZ, 0.2));
     pauli_gadget_circ.decompose_boxes_recursively();
     Circuit phase_gadget_circ = phase_gadget(n_qubits, 0.2, config);
     phase_gadget_circ.decompose_boxes_recursively();
diff --git a/tket/test/src/test_UnitaryTableau.cpp b/tket/test/src/test_UnitaryTableau.cpp
index 68cd333c23..b9a0a9d20d 100644
--- a/tket/test/src/test_UnitaryTableau.cpp
+++ b/tket/test/src/test_UnitaryTableau.cpp
@@ -16,6 +16,7 @@
 #include <sstream>
 
 #include "testutil.hpp"
+#include "tket/Circuit/Simulation/CircuitSimulator.hpp"
 #include "tket/Clifford/UnitaryTableau.hpp"
 #include "tket/Converters/Converters.hpp"
 #include "tket/Converters/UnitaryTableauBox.hpp"
@@ -246,11 +247,59 @@ SCENARIO("Correct creation of UnitaryTableau") {
     CHECK(tab0 == tab4);
     CHECK(tab0 == tab5);
   }
+  GIVEN("A single Z gate") {
+    UnitaryTableau tab0(3);
+    UnitaryTableau tab1(3);
+    UnitaryTableau tab2(3);
+    UnitaryTableau tab3(3);
+    UnitaryTableau tab4(3);
+    UnitaryTableau tab5(3);
+    tab0.apply_gate_at_front(OpType::Z, {Qubit(0)});
+    tab1.apply_gate_at_end(OpType::Z, {Qubit(0)});
+    tab2.apply_gate_at_front(OpType::S, {Qubit(0)});
+    tab2.apply_gate_at_front(OpType::S, {Qubit(0)});
+    tab3.apply_gate_at_end(OpType::Sdg, {Qubit(0)});
+    tab3.apply_gate_at_end(OpType::Sdg, {Qubit(0)});
+    tab4.apply_Z_at_front(Qubit(0));
+    tab5.apply_Z_at_end(Qubit(0));
+    CHECK(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
+    CHECK(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X, 2));
+    CHECK(tab0 == tab1);
+    CHECK(tab0 == tab2);
+    CHECK(tab0 == tab3);
+    CHECK(tab0 == tab4);
+    CHECK(tab0 == tab5);
+  }
+  GIVEN("A single X gate") {
+    UnitaryTableau tab0(3);
+    UnitaryTableau tab1(3);
+    UnitaryTableau tab2(3);
+    UnitaryTableau tab3(3);
+    UnitaryTableau tab4(3);
+    UnitaryTableau tab5(3);
+    tab0.apply_gate_at_front(OpType::X, {Qubit(0)});
+    tab1.apply_gate_at_end(OpType::X, {Qubit(0)});
+    tab2.apply_gate_at_front(OpType::V, {Qubit(0)});
+    tab2.apply_gate_at_front(OpType::V, {Qubit(0)});
+    tab3.apply_gate_at_end(OpType::Vdg, {Qubit(0)});
+    tab3.apply_gate_at_end(OpType::Vdg, {Qubit(0)});
+    tab4.apply_X_at_front(Qubit(0));
+    tab5.apply_X_at_end(Qubit(0));
+    CHECK(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z, 2));
+    CHECK(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X));
+    CHECK(tab0 == tab1);
+    CHECK(tab0 == tab2);
+    CHECK(tab0 == tab3);
+    CHECK(tab0 == tab4);
+    CHECK(tab0 == tab5);
+  }
   GIVEN("A single H gate") {
     UnitaryTableau tab0(3);
     UnitaryTableau tab1(3);
     UnitaryTableau tab2(3);
     UnitaryTableau tab3(3);
+    UnitaryTableau tab4(3);
+    UnitaryTableau tab5(3);
     tab0.apply_gate_at_front(OpType::H, {Qubit(0)});
     tab1.apply_gate_at_end(OpType::H, {Qubit(0)});
     tab2.apply_gate_at_front(OpType::S, {Qubit(0)});
@@ -259,11 +308,15 @@ SCENARIO("Correct creation of UnitaryTableau") {
     tab3.apply_gate_at_end(OpType::Vdg, {Qubit(0)});
     tab3.apply_gate_at_end(OpType::Sdg, {Qubit(0)});
     tab3.apply_gate_at_end(OpType::Vdg, {Qubit(0)});
+    tab4.apply_H_at_front(Qubit(0));
+    tab5.apply_H_at_end(Qubit(0));
     CHECK(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X));
     CHECK(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
     CHECK(tab0 == tab1);
     CHECK(tab0 == tab2);
     CHECK(tab0 == tab3);
+    CHECK(tab0 == tab4);
+    CHECK(tab0 == tab5);
   }
   GIVEN("A single CX gate") {
     UnitaryTableau tab0(3);
@@ -297,6 +350,21 @@ SCENARIO("Correct creation of UnitaryTableau") {
     UnitaryTableau tab = circuit_to_unitary_tableau(circ);
     UnitaryTableau rev_tab = get_tableau_with_gates_applied_at_front();
     REQUIRE(tab == rev_tab);
+    Eigen::MatrixXcd circ_u = tket_sim::get_unitary(circ);
+    for (unsigned q = 0; q < 3; ++q) {
+      CmplxSpMat xq = SpPauliString(Qubit(q), Pauli::X).to_sparse_matrix(3);
+      Eigen::MatrixXcd xqd = xq;
+      PauliStabiliser xrow = tab.get_xrow(Qubit(q));
+      CmplxSpMat xrowmat = xrow.to_sparse_matrix(3);
+      Eigen::MatrixXcd xrowmatd = xrowmat;
+      CHECK((xrowmatd * circ_u * xqd).isApprox(circ_u));
+      CmplxSpMat zq = SpPauliString(Qubit(q), Pauli::Z).to_sparse_matrix(3);
+      Eigen::MatrixXcd zqd = zq;
+      PauliStabiliser zrow = tab.get_zrow(Qubit(q));
+      CmplxSpMat zrowmat = zrow.to_sparse_matrix(3);
+      Eigen::MatrixXcd zrowmatd = zrowmat;
+      CHECK((zrowmatd * circ_u * zqd).isApprox(circ_u));
+    }
   }
   GIVEN("A PI/2 rotation") {
     Circuit circ = get_test_circ();
@@ -359,6 +427,22 @@ SCENARIO("Synthesis of circuits from UnitaryTableau") {
     UnitaryTableau res_tab = circuit_to_unitary_tableau(res);
     REQUIRE(res_tab == tab);
   }
+  GIVEN("Additional gate coverage, check unitary") {
+    Circuit circ(4);
+    circ.add_op<unsigned>(OpType::ZZMax, {0, 1});
+    circ.add_op<unsigned>(OpType::ECR, {2, 3});
+    circ.add_op<unsigned>(OpType::ISWAPMax, {1, 2});
+    circ.add_op<unsigned>(OpType::noop, {0});
+    UnitaryTableau tab = circuit_to_unitary_tableau(circ);
+    UnitaryTableau rev_tab(4);
+    rev_tab.apply_gate_at_front(OpType::noop, {Qubit(0)});
+    rev_tab.apply_gate_at_front(OpType::ISWAPMax, {Qubit(1), Qubit(2)});
+    rev_tab.apply_gate_at_front(OpType::ECR, {Qubit(2), Qubit(3)});
+    rev_tab.apply_gate_at_front(OpType::ZZMax, {Qubit(0), Qubit(1)});
+    REQUIRE(tab == rev_tab);
+    Circuit res = unitary_tableau_to_circuit(tab);
+    REQUIRE(test_unitary_comparison(circ, res, true));
+  }
 }
 
 SCENARIO("Correct creation of UnitaryRevTableau") {
@@ -418,14 +502,52 @@ SCENARIO("Correct creation of UnitaryRevTableau") {
     CHECK(tab0 == tab4);
     CHECK(tab0 == tab5);
   }
+  GIVEN("A single Z gate") {
+    UnitaryRevTableau tab0(3);
+    UnitaryRevTableau tab1(3);
+    UnitaryRevTableau tab2(3);
+    UnitaryRevTableau tab3(3);
+    tab0.apply_gate_at_end(OpType::Z, {Qubit(0)});
+    tab1.apply_gate_at_front(OpType::Z, {Qubit(0)});
+    tab2.apply_Z_at_end(Qubit(0));
+    tab3.apply_Z_at_front(Qubit(0));
+    REQUIRE(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
+    REQUIRE(
+        tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X, 2));
+    REQUIRE(tab0 == tab1);
+    REQUIRE(tab0 == tab2);
+    REQUIRE(tab0 == tab3);
+  }
+  GIVEN("A single X gate") {
+    UnitaryRevTableau tab0(3);
+    UnitaryRevTableau tab1(3);
+    UnitaryRevTableau tab2(3);
+    UnitaryRevTableau tab3(3);
+    tab0.apply_gate_at_end(OpType::X, {Qubit(0)});
+    tab1.apply_gate_at_front(OpType::X, {Qubit(0)});
+    tab2.apply_X_at_end(Qubit(0));
+    tab3.apply_X_at_front(Qubit(0));
+    REQUIRE(
+        tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z, 2));
+    REQUIRE(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X));
+    REQUIRE(tab0 == tab1);
+    REQUIRE(tab0 == tab2);
+    REQUIRE(tab0 == tab3);
+  }
   GIVEN("A single H gate") {
     UnitaryRevTableau tab0(3);
     UnitaryRevTableau tab1(3);
+    UnitaryRevTableau tab2(3);
+    UnitaryRevTableau tab3(3);
     tab0.apply_gate_at_end(OpType::H, {Qubit(0)});
     tab1.apply_gate_at_front(OpType::H, {Qubit(0)});
+    tab2.apply_H_at_end(Qubit(0));
+    tab3.apply_H_at_front(Qubit(0));
     REQUIRE(tab0.get_zrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::X));
     REQUIRE(tab0.get_xrow(Qubit(0)) == SpPauliStabiliser(Qubit(0), Pauli::Z));
     REQUIRE(tab0 == tab1);
+    REQUIRE(tab0 == tab2);
+    REQUIRE(tab0 == tab3);
   }
   GIVEN("A single CX gate") {
     UnitaryRevTableau tab0(3);
@@ -521,6 +643,18 @@ SCENARIO("Synthesis of circuits from UnitaryRevTableau") {
     UnitaryRevTableau res_tab = circuit_to_unitary_rev_tableau(res);
     REQUIRE(res_tab == tab);
   }
+  GIVEN("Gate coverage for OpTypes without daggers") {
+    UnitaryRevTableau tab(3);
+    tab.apply_gate_at_end(OpType::ZZMax, {Qubit(0), Qubit(1)});
+    tab.apply_gate_at_end(OpType::ISWAPMax, {Qubit(1), Qubit(2)});
+    UnitaryRevTableau rev_tab(3);
+    rev_tab.apply_gate_at_front(OpType::ISWAPMax, {Qubit(1), Qubit(2)});
+    rev_tab.apply_gate_at_front(OpType::ZZMax, {Qubit(0), Qubit(1)});
+    REQUIRE(tab == rev_tab);
+    Circuit res = unitary_rev_tableau_to_circuit(tab);
+    UnitaryRevTableau res_tab = circuit_to_unitary_rev_tableau(res);
+    REQUIRE(tab == res_tab);
+  }
 }
 
 SCENARIO("UnitaryTableauBoxes in Circuits") {

From 05b4eb07cb64d3260d819b5a768caf0f2935d554 Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Wed, 8 Nov 2023 09:39:11 +0000
Subject: [PATCH 19/36] [infra] [tkassert] Link tklog as public (#1111)

---
 libs/tkassert/CMakeLists.txt    | 2 +-
 libs/tkassert/conanfile.py      | 2 +-
 libs/tkassert/test/conanfile.py | 4 ++--
 3 files changed, 4 insertions(+), 4 deletions(-)

diff --git a/libs/tkassert/CMakeLists.txt b/libs/tkassert/CMakeLists.txt
index b65ef57dd5..1103474935 100644
--- a/libs/tkassert/CMakeLists.txt
+++ b/libs/tkassert/CMakeLists.txt
@@ -65,7 +65,7 @@ ENDIF()
 target_include_directories(tkassert PUBLIC
     $<INSTALL_INTERFACE:include/tkassert>
     $<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/include/tkassert>)
-target_link_libraries(tkassert PRIVATE tklog::tklog)
+target_link_libraries(tkassert PUBLIC tklog::tklog)
 IF(APPLE)
     target_link_libraries(tkassert PRIVATE "-flat_namespace")
 ENDIF()
diff --git a/libs/tkassert/conanfile.py b/libs/tkassert/conanfile.py
index c9a5431b8e..81c7e8b13b 100644
--- a/libs/tkassert/conanfile.py
+++ b/libs/tkassert/conanfile.py
@@ -19,7 +19,7 @@
 
 class TkassertConan(ConanFile):
     name = "tkassert"
-    version = "0.3.3"
+    version = "0.3.4"
     package_type = "library"
     license = "Apache 2"
     url = "https://github.com/CQCL/tket"
diff --git a/libs/tkassert/test/conanfile.py b/libs/tkassert/test/conanfile.py
index 4ec080606d..395d89f11c 100644
--- a/libs/tkassert/test/conanfile.py
+++ b/libs/tkassert/test/conanfile.py
@@ -19,7 +19,7 @@
 
 class test_tkassertRecipe(ConanFile):
     name = "test-tkassert"
-    version = "0.3.3"
+    version = "0.3.4"
     package_type = "application"
     license = "Apache 2"
     url = "https://github.com/CQCL/tket"
@@ -59,5 +59,5 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tkassert/0.3.3")
+        self.requires("tkassert/0.3.4")
         self.requires("catch2/3.3.2")

From b7ce5074588d140ec9bf968c88ea093cd249d64e Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Wed, 8 Nov 2023 13:35:13 +0000
Subject: [PATCH 20/36] [infra] [tktokenswap, tkwsm] Update dependencies and
 add missing include (#1112)

---
 libs/tktokenswap/CMakeLists.txt                               | 2 +-
 libs/tktokenswap/conanfile.py                                 | 4 ++--
 libs/tktokenswap/test/conanfile.py                            | 2 +-
 .../tktokenswap/test/src/TableLookup/PermutationTestUtils.cpp | 1 +
 libs/tktokenswap/test/src/TestUtils/DecodedProblemData.cpp    | 1 +
 libs/tkwsm/conanfile.py                                       | 4 ++--
 libs/tkwsm/test/conanfile.py                                  | 4 ++--
 7 files changed, 10 insertions(+), 8 deletions(-)

diff --git a/libs/tktokenswap/CMakeLists.txt b/libs/tktokenswap/CMakeLists.txt
index e9e50624ed..898def9aae 100644
--- a/libs/tktokenswap/CMakeLists.txt
+++ b/libs/tktokenswap/CMakeLists.txt
@@ -69,7 +69,7 @@ target_include_directories(tktokenswap PUBLIC
     $<INSTALL_INTERFACE:include/tktokenswap>
     $<BUILD_INTERFACE:${CMAKE_CURRENT_SOURCE_DIR}/include/tktokenswap>)
 target_link_libraries(tktokenswap PRIVATE tklog::tklog)
-target_link_libraries(tktokenswap PRIVATE tkassert::tkassert)
+target_link_libraries(tktokenswap PUBLIC tkassert::tkassert)
 target_link_libraries(tktokenswap PRIVATE tkrng::tkrng)
 target_link_libraries(tktokenswap PRIVATE Boost::headers)
 
diff --git a/libs/tktokenswap/conanfile.py b/libs/tktokenswap/conanfile.py
index c55678a9d1..dfbf0ca64e 100644
--- a/libs/tktokenswap/conanfile.py
+++ b/libs/tktokenswap/conanfile.py
@@ -19,7 +19,7 @@
 
 class TktokenswapConan(ConanFile):
     name = "tktokenswap"
-    version = "0.3.5"
+    version = "0.3.6"
     package_type = "library"
     license = "Apache 2"
     url = "https://github.com/CQCL/tket"
@@ -71,6 +71,6 @@ def package_info(self):
 
     def requirements(self):
         self.requires("tklog/0.3.3@tket/stable")
-        self.requires("tkassert/0.3.3@tket/stable", transitive_headers=True)
+        self.requires("tkassert/0.3.4@tket/stable", transitive_headers=True)
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("boost/1.83.0", transitive_libs=False)
diff --git a/libs/tktokenswap/test/conanfile.py b/libs/tktokenswap/test/conanfile.py
index 361a5eb1e6..18c548eb1c 100644
--- a/libs/tktokenswap/test/conanfile.py
+++ b/libs/tktokenswap/test/conanfile.py
@@ -59,6 +59,6 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tktokenswap/0.3.5")
+        self.requires("tktokenswap/0.3.6")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("catch2/3.3.2")
diff --git a/libs/tktokenswap/test/src/TableLookup/PermutationTestUtils.cpp b/libs/tktokenswap/test/src/TableLookup/PermutationTestUtils.cpp
index b848025f41..c9049afefb 100644
--- a/libs/tktokenswap/test/src/TableLookup/PermutationTestUtils.cpp
+++ b/libs/tktokenswap/test/src/TableLookup/PermutationTestUtils.cpp
@@ -15,6 +15,7 @@
 #include "PermutationTestUtils.hpp"
 
 #include <catch2/catch_test_macros.hpp>
+#include <algorithm>
 #include <vector>
 
 namespace tket {
diff --git a/libs/tktokenswap/test/src/TestUtils/DecodedProblemData.cpp b/libs/tktokenswap/test/src/TestUtils/DecodedProblemData.cpp
index cb34e951fd..b73e06ab9c 100644
--- a/libs/tktokenswap/test/src/TestUtils/DecodedProblemData.cpp
+++ b/libs/tktokenswap/test/src/TestUtils/DecodedProblemData.cpp
@@ -17,6 +17,7 @@
 #include <catch2/catch_test_macros.hpp>
 #include <tktokenswap/GeneralFunctions.hpp>
 #include <tktokenswap/VertexSwapResult.hpp>
+#include <algorithm>
 
 using std::vector;
 
diff --git a/libs/tkwsm/conanfile.py b/libs/tkwsm/conanfile.py
index 8889e09864..f976d75aea 100644
--- a/libs/tkwsm/conanfile.py
+++ b/libs/tkwsm/conanfile.py
@@ -19,7 +19,7 @@
 
 class TkwsmConan(ConanFile):
     name = "tkwsm"
-    version = "0.3.5"
+    version = "0.3.6"
     package_type = "library"
     license = "Apache 2"
     url = "https://github.com/CQCL/tket"
@@ -70,6 +70,6 @@ def package_info(self):
         self.cpp_info.libs = ["tkwsm"]
 
     def requirements(self):
-        self.requires("tkassert/0.3.3@tket/stable")
+        self.requires("tkassert/0.3.4@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("boost/1.83.0", transitive_headers=True, transitive_libs=False)
diff --git a/libs/tkwsm/test/conanfile.py b/libs/tkwsm/test/conanfile.py
index 9001b2276d..5802b184bc 100644
--- a/libs/tkwsm/test/conanfile.py
+++ b/libs/tkwsm/test/conanfile.py
@@ -59,7 +59,7 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tkwsm/0.3.5")
-        self.requires("tkassert/0.3.3@tket/stable")
+        self.requires("tkwsm/0.3.6")
+        self.requires("tkassert/0.3.4@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("catch2/3.3.2")

From fa08dcefb77d17abc289ef7923d1000f710ef94c Mon Sep 17 00:00:00 2001
From: Silas Dilkes <36165522+sjdilkes@users.noreply.github.com>
Date: Thu, 9 Nov 2023 11:47:58 +0000
Subject: [PATCH 21/36] Remove underscored library functions from bindings and
 `pytket` (#1117)

* Remove library._ methods from binders

* Update `pytket` use of underscored library functions

* Regen stubs
---
 pytket/binders/circuit_library.cpp        | 272 -----------------
 pytket/pytket/_tket/circuit_library.pyi   | 354 ----------------------
 pytket/pytket/circuit_library/__init__.py |  85 ------
 pytket/pytket/passes/auto_rebase.py       |  36 +--
 pytket/tests/passes_serialisation_test.py |   2 +-
 pytket/tests/transform_test.py            |  32 +-
 6 files changed, 35 insertions(+), 746 deletions(-)

diff --git a/pytket/binders/circuit_library.cpp b/pytket/binders/circuit_library.cpp
index 8914230a96..2b85619e48 100644
--- a/pytket/binders/circuit_library.cpp
+++ b/pytket/binders/circuit_library.cpp
@@ -297,277 +297,5 @@ PYBIND11_MODULE(circuit_library, library_m) {
   library_m.def(
       "TK1_to_TK1", &CircPool::tk1_to_tk1,
       "A circuit of a single tk1 gate with given parameters");
-  library_m.def(
-      "_BRIDGE_using_CX_1", &CircPool::BRIDGE_using_CX_1,
-      "Equivalent to BRIDGE, using four CX, first CX has control on qubit 1");
-  library_m.def(
-      "_CX_using_TK2", &CircPool::CX_using_TK2,
-      "Equivalent to CX, using a TK2 and single-qubit gates");
-  library_m.def(
-      "_TK2_using_CX", &CircPool::TK2_using_CX,
-      "Given expressions α, β and γ, return circuit equivalent to "
-      "TK2(α, β, γ) using up to 3 CX and single-qubit gates.\n\n"
-      "The decomposition minimizes the number of CX gates.");
-  library_m.def(
-      "_TK2_using_CX_and_swap", &CircPool::TK2_using_CX_and_swap,
-      "Given expressions α, β and γ, return circuit equivalent to "
-      "TK2(α, β, γ), up to a wire swap that is encoded in the implicit "
-      "qubit permutation of the Circuit, using up to 3 CX and single-qubit "
-      "gates.\n\n"
-      "The decomposition minimizes the number of CX gates.");
-  library_m.def(
-      "_approx_TK2_using_1xCX", &CircPool::approx_TK2_using_1xCX,
-      "Best approximation of TK2 using 1 CX gate and single-qubit gates, using "
-      "squared trace fidelity metric. "
-      "No parameter is required for this approximation. The returned circuit "
-      "will be equivalent to TK2(0.5, 0, 0).");
-  library_m.def(
-      "_approx_TK2_using_2xCX", &CircPool::approx_TK2_using_2xCX,
-      "Best approximation of TK2 using 2 CX gates and single-qubit gates, "
-      "using squared trace fidelity metric. "
-      "Given expressions α and β, with 0.5 ≥ α ≥ β ≥ 0, return a circuit "
-      "equivalent to TK2(α, β, 0).");
-  library_m.def(
-      "_TK2_using_3xCX", &CircPool::TK2_using_3xCX,
-      "Given expressions α, β and γ, return circuit equivalent to "
-      "TK2(α, β, γ) using 3 CX and single-qubit gates.\n\n"
-      "Prefer using `_TK2_using_CX` unless you wish to explicitly use 3 CX or "
-      "if α, β and γ are not normalised to the Weyl chamber.");
-  library_m.def(
-      "_CX_using_flipped_CX", &CircPool::CX_using_flipped_CX,
-      "Equivalent to CX[0,1], using a CX[1,0] and four H gates");
-  library_m.def(
-      "_CX_using_ECR", &CircPool::CX_using_ECR,
-      "Equivalent to CX, using only ECR, Rx and U3 gates");
-  library_m.def(
-      "_CX_using_ZZMax", &CircPool::CX_using_ZZMax,
-      "Equivalent to CX, using only ZZMax, Rx and Rz gates");
-  library_m.def(
-      "_CX_using_ZZPhase", &CircPool::CX_using_ZZPhase,
-      "Equivalent to CX, using only ZZPhase, Rx and Rz gates");
-  library_m.def(
-      "_CX_using_XXPhase_0", &CircPool::CX_using_XXPhase_0,
-      "Equivalent to CX, using only XXPhase, Rx, Ry and Rz gates");
-
-  library_m.def(
-      "_CX_using_XXPhase_1", &CircPool::CX_using_XXPhase_1,
-      "Equivalent to CX, using only XXPhase, Rx, Ry and Rz gates");
-  library_m.def(
-      "_CX_VS_CX_reduced", &CircPool::CX_VS_CX_reduced,
-      "CX-reduced form of CX/V,S/CX");
-  library_m.def(
-      "_CX_V_CX_reduced", &CircPool::CX_V_CX_reduced,
-      "CX-reduced form of CX/V,-/CX");
-  library_m.def(
-      "_CX_S_CX_reduced", &CircPool::CX_S_CX_reduced,
-      "CX-reduced form of CX/-,S/CX (= ZZMax)");
-  library_m.def(
-      "_CX_V_S_XC_reduced", &CircPool::CX_V_S_XC_reduced,
-      "CX-reduced form of CX/V,-/S,-/XC");
-  library_m.def(
-      "_CX_S_V_XC_reduced", &CircPool::CX_S_V_XC_reduced,
-      "CX-reduced form of CX/-,S/-,V/XC");
-  library_m.def(
-      "_CX_XC_reduced", &CircPool::CX_XC_reduced, "CX-reduced form of CX/XC");
-  library_m.def(
-      "_SWAP_using_CX_0", &CircPool::SWAP_using_CX_0,
-      "Equivalent to SWAP, using three CX, outer CX have control on qubit 0");
-  library_m.def(
-      "_SWAP_using_CX_1", &CircPool::SWAP_using_CX_1,
-      "Equivalent to SWAP, using three CX, outer CX have control on qubit 1");
-  library_m.def(
-      "_two_Rz1", &CircPool::two_Rz1,
-      "A two-qubit circuit with an Rz(1) on each qubit");
-  library_m.def("_X1_CX", &CircPool::X1_CX, "X[1]; CX[0,1]");
-  library_m.def("_Z0_CX", &CircPool::Z0_CX, "Z[0]; CX[0,1] ");
-
-  library_m.def(
-      "_CCX_modulo_phase_shift", &CircPool::CCX_modulo_phase_shift,
-      "Equivalent to CCX up to phase shift, using three CX. Warning: this is "
-      "not equivalent to CCX up to global phase so cannot be used as a direct "
-      "substitution except when the phase reversal can be cancelled. Its "
-      "unitary representation is like CCX but with a -1 at the (5,5) "
-      "position.");
-  library_m.def(
-      "_CCX_normal_decomp", &CircPool::CCX_normal_decomp,
-      "Equivalent to CCX, using 6 CX");
-  library_m.def(
-      "_C3X_normal_decomp", &CircPool::C3X_normal_decomp,
-      "Equivalent to CCCX, using 14 CX");
-  library_m.def(
-      "_C4X_normal_decomp", &CircPool::C4X_normal_decomp,
-      "Equivalent to CCCCX, using 36 CX ");
-  library_m.def(
-      "_ladder_down", &CircPool::ladder_down, "CX[0,1]; CX[2,0]; CCX[0,1,2]");
-  library_m.def(
-      "_ladder_down_2", &CircPool::ladder_down_2,
-      "CX[0,1]; X[0]; X[2]; CCX[0,1,2]");
-  library_m.def(
-      "_ladder_up", &CircPool::ladder_up, "CCX[0,1,2]; CX[2,0]; CX[2,1]");
-  library_m.def("_X", &CircPool::X, "Just an X gate");
-  library_m.def("_CX", &CircPool::CX, "Just a CX[0,1] gate");
-  library_m.def("_CCX", &CircPool::CCX, "Just a CCX[0,1,2] gate");
-  library_m.def("_BRIDGE", &CircPool::BRIDGE, "Just a BRIDGE[0,1,2] gate");
-  library_m.def("_H_CZ_H", &CircPool::H_CZ_H, "H[1]; CZ[0,1]; H[1] ");
-  library_m.def(
-      "_CZ_using_CX", &CircPool::CZ_using_CX,
-      "Equivalent to CZ, using CX and single-qubit gates");
-  library_m.def(
-      "_CY_using_CX", &CircPool::CY_using_CX,
-      "Equivalent to CY, using CX and single-qubit gates");
-  library_m.def(
-      "_CH_using_CX", &CircPool::CH_using_CX,
-      "Equivalent to CH, using CX and single-qubit gates");
-  library_m.def(
-      "_CV_using_CX", &CircPool::CV_using_CX,
-      "Equivalent to CV, using CX and single-qubit gates ");
-  library_m.def(
-      "_CVdg_using_CX", &CircPool::CVdg_using_CX,
-      "Equivalent to CVdg, using CX and single-qubit gates");
-  library_m.def(
-      "_CSX_using_CX", &CircPool::CSX_using_CX,
-      "Equivalent to CSX, using CX and single-qubit gates");
-  library_m.def(
-      "_CSXdg_using_CX", &CircPool::CSXdg_using_CX,
-      "Equivalent to CSXdg, using CX and single-qubit gates");
-  library_m.def(
-      "_CS_using_CX", &CircPool::CS_using_CX,
-      "Equivalent to CS, using CX and single-qubit gates");
-  library_m.def(
-      "_CSdg_using_CX", &CircPool::CSdg_using_CX,
-      "Equivalent to CSdg, using CX and single-qubit gates");
-  library_m.def(
-      "_CSWAP_using_CX", &CircPool::CSWAP_using_CX,
-      "Equivalent to CSWAP, using CX and single-qubit gates ");
-  library_m.def(
-      "_ECR_using_CX", &CircPool::ECR_using_CX,
-      "Equivalent to ECR, using CX, Rx and U3 gates ");
-  library_m.def(
-      "_ZZMax_using_CX", &CircPool::ZZMax_using_CX,
-      "Equivalent to ZZMax, using CX, Rz and U3 gates ");
-  library_m.def(
-      "_CRz_using_TK2", &CircPool::CRz_using_TK2,
-      "Equivalent to CRz, using a TK2 and TK1 gates");
-  library_m.def(
-      "_CRz_using_CX", &CircPool::CRz_using_CX,
-      "Equivalent to CRz, using CX and Rz gates");
-  library_m.def(
-      "_CRx_using_TK2", &CircPool::CRx_using_TK2,
-      "Equivalent to CRx, using a TK2 and TK1 gates");
-  library_m.def(
-      "_CRx_using_CX", &CircPool::CRx_using_CX,
-      "Equivalent to CRx, using CX, H and Rx gates");
-  library_m.def(
-      "_CRy_using_TK2", &CircPool::CRy_using_TK2,
-      "Equivalent to CRy, using a TK2 and TK1 gates");
-  library_m.def(
-      "_CRy_using_CX", &CircPool::CRy_using_CX,
-      "Equivalent to CRy, using CX and Ry gates");
-  library_m.def(
-      "_CU1_using_TK2", &CircPool::CU1_using_TK2,
-      "Equivalent to CU1, using a TK2 and TK1 gates");
-  library_m.def(
-      "_CU1_using_CX", &CircPool::CU1_using_CX,
-      "Equivalent to CU1, using CX and U1 gates");
-  library_m.def(
-      "_CU3_using_CX", &CircPool::CU3_using_CX,
-      "Equivalent to CU1, using CX, U1 and U3 gates");
-  library_m.def(
-      "_ISWAP_using_TK2", &CircPool::ISWAP_using_TK2,
-      "Equivalent to ISWAP, using a TK2 gate");
-  library_m.def(
-      "_ISWAP_using_CX", &CircPool::ISWAP_using_CX,
-      "Equivalent to ISWAP, using CX, U3 and Rz gates");
-  library_m.def(
-      "_XXPhase_using_TK2", &CircPool::XXPhase_using_TK2,
-      "Equivalent to XXPhase, using a TK2 gate");
-  library_m.def(
-      "_XXPhase_using_CX", &CircPool::XXPhase_using_CX,
-      "Equivalent to XXPhase, using CX and U3 gates ");
-  library_m.def(
-      "_YYPhase_using_TK2", &CircPool::YYPhase_using_TK2,
-      "Equivalent to YYPhase, using a TK2 gate");
-  library_m.def(
-      "_YYPhase_using_CX", &CircPool::YYPhase_using_CX,
-      "Equivalent to YYPhase, using two CX gates and one Ry, one Sdg and one S "
-      "gate.");
-  library_m.def(
-      "_ZZPhase_using_TK2", &CircPool::ZZPhase_using_TK2,
-      "Equivalent to ZZPhase, using a TK2 gate");
-  library_m.def(
-      "_ZZPhase_using_CX", &CircPool::ZZPhase_using_CX,
-      "Equivalent to ZZPhase, using CX and Rz gates");
-  library_m.def(
-      "_TK2_using_ZZPhase", &CircPool::TK2_using_ZZPhase,
-      "Equivalent to TK2, using 3 ZZPhase gates");
-  library_m.def(
-      "_TK2_using_ZZPhase_and_swap", &CircPool::TK2_using_ZZPhase_and_swap,
-      "Equivalent to TK2, up to a wire swap that is encoded in the implicit "
-      "qubit permutation of the Circuit, using up to 3 ZZPhase gates.");
-  library_m.def(
-      "_TK2_using_TK2_or_swap", &CircPool::TK2_using_TK2_or_swap,
-      "Either the exact TK2, or a wire swap encoded in the implicit qubit "
-      "permutation of the Circuit and single qubit gates.");
-  library_m.def(
-      "_approx_TK2_using_1xZZPhase", &CircPool::approx_TK2_using_1xZZPhase,
-      "Approximate equivalent to TK2, using 1 ZZPhase gate and single-qubit "
-      "gates. Only requires the first angle of the TK2 gate.");
-  library_m.def(
-      "_approx_TK2_using_2xZZPhase", &CircPool::approx_TK2_using_2xZZPhase,
-      "Approximate equivalent to TK2, using 2 ZZPhase gates and single-qubit "
-      "gates. Only requires the first two angles of the TK2 gate.");
-  library_m.def(
-      "_TK2_using_ZZMax", &CircPool::TK2_using_ZZMax,
-      "Equivalent to TK2, using up to 3 ZZMax gates.");
-  library_m.def(
-      "_TK2_using_ZZMax_and_swap", &CircPool::TK2_using_ZZMax_and_swap,
-      "Equivalent to TK2, up to a wire swap that is encoded in the implicit "
-      "qubit permutation of the Circuit, using up to 3 ZZMax gates.");
-  library_m.def(
-      "_XXPhase3_using_TK2", &CircPool::XXPhase3_using_TK2,
-      "Equivalent to XXPhase3, using three TK2 gates");
-  library_m.def(
-      "_XXPhase3_using_CX", &CircPool::XXPhase3_using_CX,
-      "Equivalent to 3-qubit MS interaction, using CX and U3 gates");
-  library_m.def(
-      "_ESWAP_using_TK2", &CircPool::ESWAP_using_TK2,
-      "Equivalent to ESWAP, using a TK2 and (Clifford) TK1 gates");
-  library_m.def(
-      "_ESWAP_using_CX", &CircPool::XXPhase3_using_CX,
-      "Equivalent to ESWAP, using CX, X, S, Ry and U1 gates");
-  library_m.def(
-      "_FSim_using_TK2", &CircPool::FSim_using_TK2,
-      "Equivalent to FSim, using a TK2 and TK1 gates");
-  library_m.def(
-      "_FSim_using_CX", &CircPool::FSim_using_CX,
-      "Equivalent to Fsim, using CX, X, S, U1 and U3 gates ");
-  library_m.def(
-      "_PhasedISWAP_using_TK2", &CircPool::PhasedISWAP_using_TK2,
-      "Equivalent to PhasedISWAP, using a TK2 and Rz gates");
-  library_m.def(
-      "_PhasedISWAP_using_CX", &CircPool::PhasedISWAP_using_CX,
-      "Equivalent to PhasedISWAP, using CX, U3 and Rz gates");
-  library_m.def(
-      "_NPhasedX_using_PhasedX", &CircPool::NPhasedX_using_PhasedX,
-      "Unwrap NPhasedX, into number_of_qubits PhasedX gates");
-  library_m.def(
-      "_TK2_using_normalised_TK2", &CircPool::TK2_using_normalised_TK2,
-      "TK2(a, b, c)-equivalent circuit, using a single normalised TK2 "
-      "and single-qb gates");
-  library_m.def(
-      "_TK1_to_PhasedXRz", &CircPool::tk1_to_PhasedXRz,
-      "A tk1 equivalent circuit given tk1 parameters in terms of PhasedX, Rz");
-  library_m.def(
-      "_TK1_to_RzRx", &CircPool::tk1_to_rzrx,
-      "A tk1 equivalent circuit given tk1 parameters in terms of Rz, Rx");
-  library_m.def(
-      "_TK1_to_RzH", &CircPool::tk1_to_rzh,
-      "A tk1 equivalent circuit given tk1 parameters in terms of Rz, H");
-  library_m.def(
-      "_TK1_to_RzSX", &CircPool::tk1_to_rzsx,
-      "A tk1 equivalent circuit given tk1 parameters in terms of Rz, Sx");
-  library_m.def(
-      "_TK1_to_TK1", &CircPool::tk1_to_tk1,
-      "A circuit of a single tk1 gate with given parameters");
 }
 }  // namespace tket
diff --git a/pytket/pytket/_tket/circuit_library.pyi b/pytket/pytket/_tket/circuit_library.pyi
index 4224fa6173..46fc68d76b 100644
--- a/pytket/pytket/_tket/circuit_library.pyi
+++ b/pytket/pytket/_tket/circuit_library.pyi
@@ -329,360 +329,6 @@ def ZZPhase_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
     """
     Equivalent to ZZPhase, using a TK2 gate
     """
-def _BRIDGE() -> pytket._tket.circuit.Circuit:
-    """
-    Just a BRIDGE[0,1,2] gate
-    """
-def _BRIDGE_using_CX_1() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to BRIDGE, using four CX, first CX has control on qubit 1
-    """
-def _C3X_normal_decomp() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CCCX, using 14 CX
-    """
-def _C4X_normal_decomp() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CCCCX, using 36 CX 
-    """
-def _CCX() -> pytket._tket.circuit.Circuit:
-    """
-    Just a CCX[0,1,2] gate
-    """
-def _CCX_modulo_phase_shift() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CCX up to phase shift, using three CX. Warning: this is not equivalent to CCX up to global phase so cannot be used as a direct substitution except when the phase reversal can be cancelled. Its unitary representation is like CCX but with a -1 at the (5,5) position.
-    """
-def _CCX_normal_decomp() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CCX, using 6 CX
-    """
-def _CH_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CH, using CX and single-qubit gates
-    """
-def _CRx_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CRx, using CX, H and Rx gates
-    """
-def _CRx_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CRx, using a TK2 and TK1 gates
-    """
-def _CRy_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CRy, using CX and Ry gates
-    """
-def _CRy_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CRy, using a TK2 and TK1 gates
-    """
-def _CRz_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CRz, using CX and Rz gates
-    """
-def _CRz_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CRz, using a TK2 and TK1 gates
-    """
-def _CSWAP_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CSWAP, using CX and single-qubit gates 
-    """
-def _CSX_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CSX, using CX and single-qubit gates
-    """
-def _CSXdg_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CSXdg, using CX and single-qubit gates
-    """
-def _CS_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CS, using CX and single-qubit gates
-    """
-def _CSdg_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CSdg, using CX and single-qubit gates
-    """
-def _CU1_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CU1, using CX and U1 gates
-    """
-def _CU1_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CU1, using a TK2 and TK1 gates
-    """
-def _CU3_using_CX(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CU1, using CX, U1 and U3 gates
-    """
-def _CV_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CV, using CX and single-qubit gates 
-    """
-def _CVdg_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CVdg, using CX and single-qubit gates
-    """
-def _CX() -> pytket._tket.circuit.Circuit:
-    """
-    Just a CX[0,1] gate
-    """
-def _CX_S_CX_reduced() -> pytket._tket.circuit.Circuit:
-    """
-    CX-reduced form of CX/-,S/CX (= ZZMax)
-    """
-def _CX_S_V_XC_reduced() -> pytket._tket.circuit.Circuit:
-    """
-    CX-reduced form of CX/-,S/-,V/XC
-    """
-def _CX_VS_CX_reduced() -> pytket._tket.circuit.Circuit:
-    """
-    CX-reduced form of CX/V,S/CX
-    """
-def _CX_V_CX_reduced() -> pytket._tket.circuit.Circuit:
-    """
-    CX-reduced form of CX/V,-/CX
-    """
-def _CX_V_S_XC_reduced() -> pytket._tket.circuit.Circuit:
-    """
-    CX-reduced form of CX/V,-/S,-/XC
-    """
-def _CX_XC_reduced() -> pytket._tket.circuit.Circuit:
-    """
-    CX-reduced form of CX/XC
-    """
-def _CX_using_ECR() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CX, using only ECR, Rx and U3 gates
-    """
-def _CX_using_TK2() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CX, using a TK2 and single-qubit gates
-    """
-def _CX_using_XXPhase_0() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CX, using only XXPhase, Rx, Ry and Rz gates
-    """
-def _CX_using_XXPhase_1() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CX, using only XXPhase, Rx, Ry and Rz gates
-    """
-def _CX_using_ZZMax() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CX, using only ZZMax, Rx and Rz gates
-    """
-def _CX_using_ZZPhase() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CX, using only ZZPhase, Rx and Rz gates
-    """
-def _CX_using_flipped_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CX[0,1], using a CX[1,0] and four H gates
-    """
-def _CY_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CY, using CX and single-qubit gates
-    """
-def _CZ_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to CZ, using CX and single-qubit gates
-    """
-def _ECR_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to ECR, using CX, Rx and U3 gates 
-    """
-def _ESWAP_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to ESWAP, using CX, X, S, Ry and U1 gates
-    """
-def _ESWAP_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to ESWAP, using a TK2 and (Clifford) TK1 gates
-    """
-def _FSim_using_CX(arg0: sympy.Expr | float, arg1: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to Fsim, using CX, X, S, U1 and U3 gates 
-    """
-def _FSim_using_TK2(arg0: sympy.Expr | float, arg1: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to FSim, using a TK2 and TK1 gates
-    """
-def _H_CZ_H() -> pytket._tket.circuit.Circuit:
-    """
-    H[1]; CZ[0,1]; H[1] 
-    """
-def _ISWAP_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to ISWAP, using CX, U3 and Rz gates
-    """
-def _ISWAP_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to ISWAP, using a TK2 gate
-    """
-def _NPhasedX_using_PhasedX(arg0: int, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Unwrap NPhasedX, into number_of_qubits PhasedX gates
-    """
-def _PhasedISWAP_using_CX(arg0: sympy.Expr | float, arg1: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to PhasedISWAP, using CX, U3 and Rz gates
-    """
-def _PhasedISWAP_using_TK2(arg0: sympy.Expr | float, arg1: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to PhasedISWAP, using a TK2 and Rz gates
-    """
-def _SWAP_using_CX_0() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to SWAP, using three CX, outer CX have control on qubit 0
-    """
-def _SWAP_using_CX_1() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to SWAP, using three CX, outer CX have control on qubit 1
-    """
-def _TK1_to_PhasedXRz(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    A tk1 equivalent circuit given tk1 parameters in terms of PhasedX, Rz
-    """
-def _TK1_to_RzH(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    A tk1 equivalent circuit given tk1 parameters in terms of Rz, H
-    """
-def _TK1_to_RzRx(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    A tk1 equivalent circuit given tk1 parameters in terms of Rz, Rx
-    """
-def _TK1_to_RzSX(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    A tk1 equivalent circuit given tk1 parameters in terms of Rz, Sx
-    """
-def _TK1_to_TK1(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    A circuit of a single tk1 gate with given parameters
-    """
-def _TK2_using_3xCX(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Given expressions α, β and γ, return circuit equivalent to TK2(α, β, γ) using 3 CX and single-qubit gates.
-    
-    Prefer using `_TK2_using_CX` unless you wish to explicitly use 3 CX or if α, β and γ are not normalised to the Weyl chamber.
-    """
-def _TK2_using_CX(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Given expressions α, β and γ, return circuit equivalent to TK2(α, β, γ) using up to 3 CX and single-qubit gates.
-    
-    The decomposition minimizes the number of CX gates.
-    """
-def _TK2_using_CX_and_swap(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Given expressions α, β and γ, return circuit equivalent to TK2(α, β, γ), up to a wire swap that is encoded in the implicit qubit permutation of the Circuit, using up to 3 CX and single-qubit gates.
-    
-    The decomposition minimizes the number of CX gates.
-    """
-def _TK2_using_TK2_or_swap(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Either the exact TK2, or a wire swap encoded in the implicit qubit permutation of the Circuit and single qubit gates.
-    """
-def _TK2_using_ZZMax(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to TK2, using up to 3 ZZMax gates.
-    """
-def _TK2_using_ZZMax_and_swap(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to TK2, up to a wire swap that is encoded in the implicit qubit permutation of the Circuit, using up to 3 ZZMax gates.
-    """
-def _TK2_using_ZZPhase(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to TK2, using 3 ZZPhase gates
-    """
-def _TK2_using_ZZPhase_and_swap(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to TK2, up to a wire swap that is encoded in the implicit qubit permutation of the Circuit, using up to 3 ZZPhase gates.
-    """
-def _TK2_using_normalised_TK2(arg0: sympy.Expr | float, arg1: sympy.Expr | float, arg2: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    TK2(a, b, c)-equivalent circuit, using a single normalised TK2 and single-qb gates
-    """
-def _X() -> pytket._tket.circuit.Circuit:
-    """
-    Just an X gate
-    """
-def _X1_CX() -> pytket._tket.circuit.Circuit:
-    """
-    X[1]; CX[0,1]
-    """
-def _XXPhase3_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to 3-qubit MS interaction, using CX and U3 gates
-    """
-def _XXPhase3_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to XXPhase3, using three TK2 gates
-    """
-def _XXPhase_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to XXPhase, using CX and U3 gates 
-    """
-def _XXPhase_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to XXPhase, using a TK2 gate
-    """
-def _YYPhase_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to YYPhase, using two CX gates and one Ry, one Sdg and one S gate.
-    """
-def _YYPhase_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to YYPhase, using a TK2 gate
-    """
-def _Z0_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Z[0]; CX[0,1] 
-    """
-def _ZZMax_using_CX() -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to ZZMax, using CX, Rz and U3 gates 
-    """
-def _ZZPhase_using_CX(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to ZZPhase, using CX and Rz gates
-    """
-def _ZZPhase_using_TK2(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Equivalent to ZZPhase, using a TK2 gate
-    """
-def _approx_TK2_using_1xCX() -> pytket._tket.circuit.Circuit:
-    """
-    Best approximation of TK2 using 1 CX gate and single-qubit gates, using squared trace fidelity metric. No parameter is required for this approximation. The returned circuit will be equivalent to TK2(0.5, 0, 0).
-    """
-def _approx_TK2_using_1xZZPhase(arg0: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Approximate equivalent to TK2, using 1 ZZPhase gate and single-qubit gates. Only requires the first angle of the TK2 gate.
-    """
-def _approx_TK2_using_2xCX(arg0: sympy.Expr | float, arg1: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Best approximation of TK2 using 2 CX gates and single-qubit gates, using squared trace fidelity metric. Given expressions α and β, with 0.5 ≥ α ≥ β ≥ 0, return a circuit equivalent to TK2(α, β, 0).
-    """
-def _approx_TK2_using_2xZZPhase(arg0: sympy.Expr | float, arg1: sympy.Expr | float) -> pytket._tket.circuit.Circuit:
-    """
-    Approximate equivalent to TK2, using 2 ZZPhase gates and single-qubit gates. Only requires the first two angles of the TK2 gate.
-    """
-def _ladder_down() -> pytket._tket.circuit.Circuit:
-    """
-    CX[0,1]; CX[2,0]; CCX[0,1,2]
-    """
-def _ladder_down_2() -> pytket._tket.circuit.Circuit:
-    """
-    CX[0,1]; X[0]; X[2]; CCX[0,1,2]
-    """
-def _ladder_up() -> pytket._tket.circuit.Circuit:
-    """
-    CCX[0,1,2]; CX[2,0]; CX[2,1]
-    """
-def _two_Rz1() -> pytket._tket.circuit.Circuit:
-    """
-    A two-qubit circuit with an Rz(1) on each qubit
-    """
 def approx_TK2_using_1xCX() -> pytket._tket.circuit.Circuit:
     """
     Best approximation of TK2 using 1 CX gate and single-qubit gates, using squared trace fidelity metric. No parameter is required for this approximation. The returned circuit will be equivalent to TK2(0.5, 0, 0).
diff --git a/pytket/pytket/circuit_library/__init__.py b/pytket/pytket/circuit_library/__init__.py
index 81868ba880..fc5871c58a 100644
--- a/pytket/pytket/circuit_library/__init__.py
+++ b/pytket/pytket/circuit_library/__init__.py
@@ -101,89 +101,4 @@
     TK1_to_RzH,
     TK1_to_RzSX,
     TK1_to_TK1,
-    _BRIDGE_using_CX_1,
-    _CX_using_TK2,
-    _TK2_using_CX,
-    _TK2_using_CX_and_swap,
-    _approx_TK2_using_1xCX,
-    _approx_TK2_using_2xCX,
-    _TK2_using_3xCX,
-    _CX_using_flipped_CX,
-    _CX_using_ECR,
-    _CX_using_ZZMax,
-    _CX_using_ZZPhase,
-    _CX_using_XXPhase_0,
-    _CX_using_XXPhase_1,
-    _CX_VS_CX_reduced,
-    _CX_V_CX_reduced,
-    _CX_S_CX_reduced,
-    _CX_V_S_XC_reduced,
-    _CX_S_V_XC_reduced,
-    _CX_XC_reduced,
-    _SWAP_using_CX_0,
-    _SWAP_using_CX_1,
-    _two_Rz1,
-    _X1_CX,
-    _Z0_CX,
-    _CCX_modulo_phase_shift,
-    _CCX_normal_decomp,
-    _C3X_normal_decomp,
-    _C4X_normal_decomp,
-    _ladder_down,
-    _ladder_down_2,
-    _ladder_up,
-    _X,
-    _CX,
-    _CCX,
-    _BRIDGE,
-    _H_CZ_H,
-    _CZ_using_CX,
-    _CY_using_CX,
-    _CH_using_CX,
-    _CV_using_CX,
-    _CVdg_using_CX,
-    _CSX_using_CX,
-    _CSXdg_using_CX,
-    _CSWAP_using_CX,
-    _ECR_using_CX,
-    _ZZMax_using_CX,
-    _CRz_using_TK2,
-    _CRz_using_CX,
-    _CRx_using_TK2,
-    _CRx_using_CX,
-    _CRy_using_TK2,
-    _CRy_using_CX,
-    _CU1_using_TK2,
-    _CU1_using_CX,
-    _CU3_using_CX,
-    _ISWAP_using_TK2,
-    _ISWAP_using_CX,
-    _XXPhase_using_TK2,
-    _XXPhase_using_CX,
-    _YYPhase_using_TK2,
-    _YYPhase_using_CX,
-    _ZZPhase_using_TK2,
-    _ZZPhase_using_CX,
-    _TK2_using_ZZPhase,
-    _TK2_using_ZZPhase_and_swap,
-    _TK2_using_TK2_or_swap,
-    _approx_TK2_using_1xZZPhase,
-    _approx_TK2_using_2xZZPhase,
-    _TK2_using_ZZMax,
-    _TK2_using_ZZMax_and_swap,
-    _XXPhase3_using_TK2,
-    _XXPhase3_using_CX,
-    _ESWAP_using_TK2,
-    _ESWAP_using_CX,
-    _FSim_using_TK2,
-    _FSim_using_CX,
-    _PhasedISWAP_using_TK2,
-    _PhasedISWAP_using_CX,
-    _NPhasedX_using_PhasedX,
-    _TK2_using_normalised_TK2,
-    _TK1_to_PhasedXRz,
-    _TK1_to_RzRx,
-    _TK1_to_RzH,
-    _TK1_to_RzSX,
-    _TK1_to_TK1,
 )
diff --git a/pytket/pytket/passes/auto_rebase.py b/pytket/pytket/passes/auto_rebase.py
index 95574f5ac3..6af5c690c6 100644
--- a/pytket/pytket/passes/auto_rebase.py
+++ b/pytket/pytket/passes/auto_rebase.py
@@ -26,11 +26,11 @@ class NoAutoRebase(Exception):
 
 
 _CX_CIRCS: Dict[OpType, Callable[[], "Circuit"]] = {
-    OpType.CX: _library._CX,
-    OpType.ZZMax: _library._CX_using_ZZMax,
-    OpType.XXPhase: _library._CX_using_XXPhase_0,
-    OpType.ECR: _library._CX_using_ECR,
-    OpType.CZ: _library._H_CZ_H,
+    OpType.CX: _library.CX,
+    OpType.ZZMax: _library.CX_using_ZZMax,
+    OpType.XXPhase: _library.CX_using_XXPhase_0,
+    OpType.ECR: _library.CX_using_ECR,
+    OpType.CZ: _library.H_CZ_H,
 }
 
 
@@ -40,16 +40,16 @@ def _TK2_using_TK2(a: Param, b: Param, c: Param) -> Circuit:
 
 _TK2_CIRCS: Dict[OpType, Callable[[Param, Param, Param], "Circuit"]] = {
     OpType.TK2: _TK2_using_TK2,
-    OpType.ZZPhase: _library._TK2_using_ZZPhase,
-    OpType.CX: _library._TK2_using_CX,
-    OpType.ZZMax: _library._TK2_using_ZZMax,
+    OpType.ZZPhase: _library.TK2_using_ZZPhase,
+    OpType.CX: _library.TK2_using_CX,
+    OpType.ZZMax: _library.TK2_using_ZZMax,
 }
 
 _TK2_CIRCS_WIRE_SWAP: Dict[OpType, Callable[[Param, Param, Param], "Circuit"]] = {
-    OpType.TK2: _library._TK2_using_TK2_or_swap,
-    OpType.ZZPhase: _library._TK2_using_ZZPhase_and_swap,
-    OpType.CX: _library._TK2_using_CX_and_swap,
-    OpType.ZZMax: _library._TK2_using_ZZMax_and_swap,
+    OpType.TK2: _library.TK2_using_TK2_or_swap,
+    OpType.ZZPhase: _library.TK2_using_ZZPhase_and_swap,
+    OpType.CX: _library.TK2_using_CX_and_swap,
+    OpType.ZZMax: _library.TK2_using_ZZMax_and_swap,
 }
 
 
@@ -92,14 +92,14 @@ def get_tk2_decomposition(
 
 
 _TK1_circs: Dict[FrozenSet[OpType], Callable[[Param, Param, Param], "Circuit"]] = {
-    frozenset({OpType.TK1}): _library._TK1_to_TK1,
-    frozenset({OpType.PhasedX, OpType.Rz}): _library._TK1_to_PhasedXRz,
-    frozenset({OpType.Rx, OpType.Rz}): _library._TK1_to_RzRx,
+    frozenset({OpType.TK1}): _library.TK1_to_TK1,
+    frozenset({OpType.PhasedX, OpType.Rz}): _library.TK1_to_PhasedXRz,
+    frozenset({OpType.Rx, OpType.Rz}): _library.TK1_to_RzRx,
     frozenset({OpType.Ry, OpType.Rx}): _TK1_to_RxRy,
-    frozenset({OpType.Rz, OpType.H}): _library._TK1_to_RzH,
+    frozenset({OpType.Rz, OpType.H}): _library.TK1_to_RzH,
     frozenset({OpType.Rz, OpType.SX, OpType.X}): _TK1_to_X_SX_Rz,
     frozenset({OpType.Rz, OpType.SX}): _TK1_to_X_SX_Rz,
-    frozenset({OpType.Rz, OpType.SX}): _library._TK1_to_RzSX,
+    frozenset({OpType.Rz, OpType.SX}): _library.TK1_to_RzSX,
     frozenset({OpType.U3}): _TK1_to_U,
 }
 
@@ -144,7 +144,7 @@ def auto_rebase_pass(gateset: Set[OpType], allow_swaps: bool = False) -> BasePas
     # if the gateset has CX but not TK2, and implicit wire swaps not allowed:
     # rebase via CX
     if OpType.CX in gateset and OpType.TK2 not in gateset and not allow_swaps:
-        return RebaseCustom(gateset, _library._CX(), tk1)
+        return RebaseCustom(gateset, _library.CX(), tk1)
     # in other cases, try to rebase via TK2 first
     try:
         return RebaseCustom(gateset, get_tk2_decomposition(gateset, allow_swaps), tk1)
diff --git a/pytket/tests/passes_serialisation_test.py b/pytket/tests/passes_serialisation_test.py
index 9c29262d1c..45f54f5129 100644
--- a/pytket/tests/passes_serialisation_test.py
+++ b/pytket/tests/passes_serialisation_test.py
@@ -589,7 +589,7 @@ def sq(a: ParamType, b: ParamType, c: ParamType) -> Circuit:
     cx = Circuit(2)
     cx.CX(0, 1)
     pz_rebase = RebaseCustom(
-        {OpType.CX, OpType.PhasedX, OpType.Rz}, cx, _library._TK1_to_TK1
+        {OpType.CX, OpType.PhasedX, OpType.Rz}, cx, _library.TK1_to_TK1
     )
     assert pz_rebase.to_dict()["StandardPass"]["name"] == "RebaseCustom"
     assert set(pz_rebase.to_dict()["StandardPass"]["basis_allowed"]) == {
diff --git a/pytket/tests/transform_test.py b/pytket/tests/transform_test.py
index 47fc70addf..d773c86a08 100644
--- a/pytket/tests/transform_test.py
+++ b/pytket/tests/transform_test.py
@@ -1048,31 +1048,31 @@ def test_CXMappingPass_terminates() -> None:
 
 def test_auto_rebase() -> None:
     pass_params = [
-        ({OpType.CX, OpType.Rz, OpType.Rx}, _library._CX(), _library._TK1_to_RzRx),
+        ({OpType.CX, OpType.Rz, OpType.Rx}, _library.CX(), _library.TK1_to_RzRx),
         (
             {OpType.CZ, OpType.Rz, OpType.SX, OpType.ZZPhase},
             _CX_CIRCS[OpType.CZ](),
-            _library._TK1_to_RzSX,
+            _library.TK1_to_RzSX,
         ),
         (
             {OpType.ZZMax, OpType.T, OpType.Rz, OpType.H},
-            _library._CX_using_ZZMax(),
-            _library._TK1_to_RzH,
+            _library.CX_using_ZZMax(),
+            _library.TK1_to_RzH,
         ),
         (
             {OpType.XXPhase, OpType.T, OpType.Rz, OpType.H},
-            _library._CX_using_XXPhase_0(),
-            _library._TK1_to_RzH,
+            _library.CX_using_XXPhase_0(),
+            _library.TK1_to_RzH,
         ),
         (
             {OpType.ECR, OpType.PhasedX, OpType.Rz, OpType.CnX},
-            _library._CX_using_ECR(),
-            _library._TK1_to_PhasedXRz,
+            _library.CX_using_ECR(),
+            _library.TK1_to_PhasedXRz,
         ),
         (
             {OpType.CX, OpType.TK1, OpType.U3, OpType.CnX},
-            _library._CX(),
-            _library._TK1_to_TK1,
+            _library.CX(),
+            _library.TK1_to_TK1,
         ),
     ]
 
@@ -1114,26 +1114,26 @@ def test_auto_rebase() -> None:
 
 def test_auto_squash() -> None:
     pass_params = [
-        ({OpType.Rz, OpType.Rx}, _library._TK1_to_RzRx),
+        ({OpType.Rz, OpType.Rx}, _library.TK1_to_RzRx),
         (
             {OpType.Rz, OpType.SX},
-            _library._TK1_to_RzSX,
+            _library.TK1_to_RzSX,
         ),
         (
             {OpType.T, OpType.Rz, OpType.H},
-            _library._TK1_to_RzH,
+            _library.TK1_to_RzH,
         ),
         (
             {OpType.T, OpType.Rz, OpType.H},
-            _library._TK1_to_RzH,
+            _library.TK1_to_RzH,
         ),
         (
             {OpType.PhasedX, OpType.Rz},
-            _library._TK1_to_PhasedXRz,
+            _library.TK1_to_PhasedXRz,
         ),
         (
             {OpType.TK1, OpType.U3},
-            _library._TK1_to_TK1,
+            _library.TK1_to_TK1,
         ),
     ]
 

From 57e64bd0d20c565a9209e3db3ab8f6ee16792a11 Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Thu, 9 Nov 2023 13:43:49 +0000
Subject: [PATCH 22/36] [infra] Update library versions (#1113)

---
 .github/workflows/build-external-packages                 | 6 +++---
 .github/workflows/linuxbuildpackages                      | 6 +++---
 .../test/src/TableLookup/PermutationTestUtils.cpp         | 2 +-
 .../tktokenswap/test/src/TestUtils/DecodedProblemData.cpp | 2 +-
 pytket/conanfile.py                                       | 8 ++++----
 tket/conanfile.py                                         | 8 ++++----
 6 files changed, 16 insertions(+), 16 deletions(-)

diff --git a/.github/workflows/build-external-packages b/.github/workflows/build-external-packages
index aef99524bd..e62e62ce37 100755
--- a/.github/workflows/build-external-packages
+++ b/.github/workflows/build-external-packages
@@ -8,10 +8,10 @@ PACKAGES="\
           gmp/6.2.1@ \
           symengine/0.9.0@ \
           tklog/0.3.3@tket/stable \
-          tkassert/0.3.3@tket/stable \
+          tkassert/0.3.4@tket/stable \
           tkrng/0.3.3@tket/stable \
-          tktokenswap/0.3.3@tket/stable \
-          tkwsm/0.3.3@tket/stable \
+          tktokenswap/0.3.6@tket/stable \
+          tkwsm/0.3.6@tket/stable \
          "
 
 for PACKAGE in ${PACKAGES}
diff --git a/.github/workflows/linuxbuildpackages b/.github/workflows/linuxbuildpackages
index 29993937e1..42332ef327 100755
--- a/.github/workflows/linuxbuildpackages
+++ b/.github/workflows/linuxbuildpackages
@@ -38,10 +38,10 @@ PACKAGES="boost/1.81.0@ \
           gmp/6.2.1@ \
           symengine/0.9.0@ \
           tklog/0.3.3@tket/stable \
-          tkassert/0.3.3@tket/stable \
+          tkassert/0.3.4@tket/stable \
           tkrng/0.3.3@tket/stable \
-          tktokenswap/0.3.3@tket/stable \
-          tkwsm/0.3.3@tket/stable"
+          tktokenswap/0.3.6@tket/stable \
+          tkwsm/0.3.6@tket/stable"
 
 for PACKAGE in ${PACKAGES}
 do
diff --git a/libs/tktokenswap/test/src/TableLookup/PermutationTestUtils.cpp b/libs/tktokenswap/test/src/TableLookup/PermutationTestUtils.cpp
index c9049afefb..789c76b1b3 100644
--- a/libs/tktokenswap/test/src/TableLookup/PermutationTestUtils.cpp
+++ b/libs/tktokenswap/test/src/TableLookup/PermutationTestUtils.cpp
@@ -14,8 +14,8 @@
 
 #include "PermutationTestUtils.hpp"
 
-#include <catch2/catch_test_macros.hpp>
 #include <algorithm>
+#include <catch2/catch_test_macros.hpp>
 #include <vector>
 
 namespace tket {
diff --git a/libs/tktokenswap/test/src/TestUtils/DecodedProblemData.cpp b/libs/tktokenswap/test/src/TestUtils/DecodedProblemData.cpp
index b73e06ab9c..738be019b9 100644
--- a/libs/tktokenswap/test/src/TestUtils/DecodedProblemData.cpp
+++ b/libs/tktokenswap/test/src/TestUtils/DecodedProblemData.cpp
@@ -14,10 +14,10 @@
 
 #include "DecodedProblemData.hpp"
 
+#include <algorithm>
 #include <catch2/catch_test_macros.hpp>
 #include <tktokenswap/GeneralFunctions.hpp>
 #include <tktokenswap/VertexSwapResult.hpp>
-#include <algorithm>
 
 using std::vector;
 
diff --git a/pytket/conanfile.py b/pytket/conanfile.py
index 9b3546cf1f..d070bc36fa 100644
--- a/pytket/conanfile.py
+++ b/pytket/conanfile.py
@@ -32,12 +32,12 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tket/1.2.65@tket/stable")
+        self.requires("tket/1.2.66@tket/stable")
         self.requires("tklog/0.3.3@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
-        self.requires("tkassert/0.3.3@tket/stable")
-        self.requires("tkwsm/0.3.5@tket/stable")
-        self.requires("tktokenswap/0.3.5@tket/stable")
+        self.requires("tkassert/0.3.4@tket/stable")
+        self.requires("tkwsm/0.3.6@tket/stable")
+        self.requires("tktokenswap/0.3.6@tket/stable")
         self.requires("symengine/0.11.1")
         self.requires("gmp/6.2.1")
         self.requires("pybind11/2.11.1")
diff --git a/tket/conanfile.py b/tket/conanfile.py
index 55ed429a6f..fd7918b995 100644
--- a/tket/conanfile.py
+++ b/tket/conanfile.py
@@ -23,7 +23,7 @@
 
 class TketConan(ConanFile):
     name = "tket"
-    version = "1.2.65"
+    version = "1.2.66"
     package_type = "library"
     license = "Apache 2"
     homepage = "https://github.com/CQCL/tket"
@@ -116,10 +116,10 @@ def requirements(self):
         self.requires("eigen/3.4.0", transitive_headers=True)
         self.requires("nlohmann_json/3.11.2", transitive_headers=True)
         self.requires("tklog/0.3.3@tket/stable")
-        self.requires("tkassert/0.3.3@tket/stable", transitive_headers=True)
+        self.requires("tkassert/0.3.4@tket/stable", transitive_headers=True)
         self.requires("tkrng/0.3.3@tket/stable")
-        self.requires("tktokenswap/0.3.5@tket/stable")
-        self.requires("tkwsm/0.3.5@tket/stable")
+        self.requires("tktokenswap/0.3.6@tket/stable")
+        self.requires("tkwsm/0.3.6@tket/stable")
         if self.build_test():
             self.test_requires("catch2/3.3.2")
         if self.build_proptest():

From e5e0c3b2da4e8813be9435efd761468562efa620 Mon Sep 17 00:00:00 2001
From: yao-cqc <75305462+yao-cqc@users.noreply.github.com>
Date: Thu, 9 Nov 2023 15:05:03 +0000
Subject: [PATCH 23/36] Fix incorrect controlled `ConjugationBox` handling
 (#1118)

* Fix incorrect controlled ConjugationBox handling

* Add changelog entry

* Bump tket version

* run clang format

* bump tket version
---
 pytket/conanfile.py                  |  2 +-
 pytket/docs/changelog.rst            |  1 +
 tket/conanfile.py                    |  2 +-
 tket/src/Circuit/CircUtils.cpp       |  8 +++++++-
 tket/test/src/Circuit/test_Boxes.cpp | 26 ++++++++++++++++++++++++++
 5 files changed, 36 insertions(+), 3 deletions(-)

diff --git a/pytket/conanfile.py b/pytket/conanfile.py
index d070bc36fa..e75f704d46 100644
--- a/pytket/conanfile.py
+++ b/pytket/conanfile.py
@@ -32,7 +32,7 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tket/1.2.66@tket/stable")
+        self.requires("tket/1.2.67@tket/stable")
         self.requires("tklog/0.3.3@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("tkassert/0.3.4@tket/stable")
diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index 97187302c3..71cba0ff00 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -16,6 +16,7 @@ Fixes:
   of the bits in the expression in the resulting ``cmd.args``
 * Fix incorrect serialisation of ``PauliExpPairBox`` when the Pauli strings are of
   length 2.
+* Fix incorrect controlled ``ConjugationBox`` handling.
 
 1.21.0 (October 2023)
 ---------------------
diff --git a/tket/conanfile.py b/tket/conanfile.py
index fd7918b995..7cf1e667ab 100644
--- a/tket/conanfile.py
+++ b/tket/conanfile.py
@@ -23,7 +23,7 @@
 
 class TketConan(ConanFile):
     name = "tket"
-    version = "1.2.66"
+    version = "1.2.67"
     package_type = "library"
     license = "Apache 2"
     homepage = "https://github.com/CQCL/tket"
diff --git a/tket/src/Circuit/CircUtils.cpp b/tket/src/Circuit/CircUtils.cpp
index 17b0deb998..379882104b 100644
--- a/tket/src/Circuit/CircUtils.cpp
+++ b/tket/src/Circuit/CircUtils.cpp
@@ -596,7 +596,10 @@ static Circuit controlled_conjugation_box(
     all_args[n_controls + i] = Qubit(n_controls + args[i].index()[0]);
     target_args[i] = Qubit(n_controls + args[i].index()[0]);
   }
-  Circuit circ(n_controls + n_targets);
+  Circuit circ;
+  for (const Qubit &q : all_args) {
+    circ.add_qubit(q);
+  }
   circ.add_op(compute, target_args);
   QControlBox controlled_action(action, n_controls);
   circ.add_box(controlled_action, all_args);
@@ -801,6 +804,9 @@ static Eigen::Matrix2cd get_target_op_matrix(const Op_ptr &op) {
 
 // A gate block containing Cn* gates that can be merged as a single CnU gate
 // a block can also contain a single Barrier, which will be left in place
+// TODO: conjugation boxs are accepted as well; however they don't fit the
+// semantics. control_qubits and target_qubit don't mean anything for a
+// conjugation box.
 struct CnGateBlock {
   enum class MergeMode { append, prepend };
   CnGateBlock(const Command &command) {
diff --git a/tket/test/src/Circuit/test_Boxes.cpp b/tket/test/src/Circuit/test_Boxes.cpp
index e2c8afd1ac..c6fee206d2 100644
--- a/tket/test/src/Circuit/test_Boxes.cpp
+++ b/tket/test/src/Circuit/test_Boxes.cpp
@@ -873,6 +873,18 @@ SCENARIO("QControlBox", "[boxes]") {
       d.add_op<unsigned>(OpType::CX, {2, 1});
       REQUIRE(*c == d);
     }
+    WHEN("Wrapped in a CircBox") {
+      Circuit inner_circ(4);
+      inner_circ.add_op<unsigned>(cj_op, {1, 3});
+      Op_ptr circbox_op = std::make_shared<CircBox>(inner_circ);
+      QControlBox qbox(circbox_op);
+      std::shared_ptr<Circuit> c = qbox.to_circuit();
+      Circuit d(5);
+      d.add_op<unsigned>(OpType::CX, {4, 2});
+      d.add_op<unsigned>(OpType::CZ, {0, 2});
+      d.add_op<unsigned>(OpType::CX, {4, 2});
+      REQUIRE(*c == d);
+    }
     WHEN("Nested") {
       Circuit compute_outer(3);
       compute_outer.add_op<unsigned>(OpType::CX, {2, 1});
@@ -929,6 +941,20 @@ SCENARIO("QControlBox", "[boxes]") {
     std::shared_ptr<Circuit> c = qbox.to_circuit();
     REQUIRE(c->count_gates(OpType::CX) == 4);
   }
+  GIVEN("controlled PauliExpBox") {
+    // https://github.com/CQCL/tket/issues/1109
+    PauliExpBox pbox(
+        SymPauliTensor({Pauli::I, Pauli::Z, Pauli::I, Pauli::I}, 0.7));
+    Op_ptr op = std::make_shared<PauliExpBox>(pbox);
+    QControlBox qbox(op);
+    std::shared_ptr<Circuit> c = qbox.to_circuit();
+    // construct the expected circuit
+    Circuit correct_inner(4);
+    correct_inner.add_op<unsigned>(OpType::Rz, 0.7, {1});
+    QControlBox correct_qbox(std::make_shared<CircBox>(correct_inner));
+    std::shared_ptr<Circuit> d = correct_qbox.to_circuit();
+    REQUIRE(*c == *d);
+  }
 }
 
 SCENARIO("Unitary3qBox", "[boxes]") {

From 8eecdfaad2e7aa96435320ba76ac02dc18e139bb Mon Sep 17 00:00:00 2001
From: CalMacCQ <93673602+CalMacCQ@users.noreply.github.com>
Date: Fri, 10 Nov 2023 16:15:58 +0000
Subject: [PATCH 24/36] update all links to the user manual (#1119)

---
 pytket/docs/backends.rst        | 2 +-
 pytket/docs/circuit_class.rst   | 2 +-
 pytket/docs/classical.rst       | 2 +-
 pytket/docs/faqs.rst            | 4 ++--
 pytket/docs/getting_started.rst | 4 ++--
 pytket/docs/index.rst           | 4 ++--
 pytket/docs/passes.rst          | 2 +-
 pytket/docs/placement.rst       | 2 +-
 pytket/docs/predicates.rst      | 2 +-
 pytket/docs/qasm.rst            | 2 +-
 pytket/package.md               | 2 +-
 11 files changed, 14 insertions(+), 14 deletions(-)

diff --git a/pytket/docs/backends.rst b/pytket/docs/backends.rst
index ee0872b42d..758ac49a5b 100644
--- a/pytket/docs/backends.rst
+++ b/pytket/docs/backends.rst
@@ -7,7 +7,7 @@ There are several `example notebooks <https://tket.quantinuum.com/examples>`_ on
 
 Notebook tutorials specific to the :py:class:`QuantinuumBackend` can be found `here <https://github.com/CQCL/pytket-quantinuum/tree/develop/examples>`_.
 
-See also the `Running on backends <https://cqcl.github.io/pytket/manual/manual_backend.html>`_ section of the pytket user manual.
+See also the `Running on backends <https://tket.quantinuum.com/user-manual/manual_backend.html>`_ section of the pytket user manual.
 
 .. automodule:: pytket.backends
     :members: backend
diff --git a/pytket/docs/circuit_class.rst b/pytket/docs/circuit_class.rst
index 765dac404f..ea7da61904 100644
--- a/pytket/docs/circuit_class.rst
+++ b/pytket/docs/circuit_class.rst
@@ -2,7 +2,7 @@ pytket.circuit.Circuit
 ==================================
 :py:class:`Circuit` objects provide an abstraction of quantum circuits. They consist of a set of qubits/quantum wires and a collection of operations applied to them in a given order. These wires have open inputs and outputs, rather than assuming any fixed input state.
 
-See the `Pytket User Manual <https://cqcl.github.io/pytket/manual/manual_circuit.html>`_ for a step-by-step tutorial on constructing circuits.
+See the `pytket User Manual <https://tket.quantinuum.com/user-manual/manual_circuit.html>`_ for a step-by-step tutorial on constructing circuits.
 
 See also the notebook tutorials on `circuit generation <https://github.com/CQCL/pytket/blob/main/examples/circuit_generation_example.ipynb>`_ and `circuit analysis <https://github.com/CQCL/pytket/blob/main/examples/circuit_analysis_example.ipynb>`_.
 
diff --git a/pytket/docs/classical.rst b/pytket/docs/classical.rst
index 92d9769201..9c67bf7c7b 100644
--- a/pytket/docs/classical.rst
+++ b/pytket/docs/classical.rst
@@ -1,7 +1,7 @@
 pytket.circuit.logic_exp
 ========================
 
-For more discussion of classical logic in pytket see the `manual section <https://cqcl.github.io/pytket/manual/manual_circuit.html#classical-and-conditional-operations>`_.
+For more discussion of classical logic in pytket see the `manual section <https://tket.quantinuum.com/user-manual/manual_circuit.html#classical-and-conditional-operations>`_.
 
 .. automodule:: pytket.circuit.logic_exp
     :members:
\ No newline at end of file
diff --git a/pytket/docs/faqs.rst b/pytket/docs/faqs.rst
index fd485a7cb6..e8743a92ce 100644
--- a/pytket/docs/faqs.rst
+++ b/pytket/docs/faqs.rst
@@ -14,7 +14,7 @@ There are two types of rebase
 2) :py:class:`RebaseCustom` - This can be used instead of `auto_rebase_pass` in cases where there is no hardcoded conversion available. 
 In this case the user will have to specify how to implement TKET's {TK1, CX} or {TK1, TK2} operations in terms of the target :py:class:`OpType` s. 
 
-See the manual section on `rebases <https://cqcl.github.io/pytket/manual/manual_compiler.html#rebases>`_ for examples.
+See the manual section on `rebases <https://tket.quantinuum.com/user-manual/manual_compiler.html#rebases>`_ for examples.
 
 Unitary Synthesis
 -----------------
@@ -22,7 +22,7 @@ Q: Can TKET generate a circuit to implement a unitary operator of my choice?
 
 A: Yes but only up to three qubits at present. This can be done with :py:class:`Unitary3qBox`.
 
-See the manual section on `unitary synthesis <https://cqcl.github.io/pytket/manual/manual_circuit.html#boxes-for-unitary-synthesis>`_ .
+See the manual section on `unitary synthesis <https://tket.quantinuum.com/user-manual/manual_circuit.html#boxes-for-unitary-synthesis>`_ .
 
 
 Qiskit to TKET Conversion
diff --git a/pytket/docs/getting_started.rst b/pytket/docs/getting_started.rst
index cdca6ef4b2..a6ea8e88b1 100644
--- a/pytket/docs/getting_started.rst
+++ b/pytket/docs/getting_started.rst
@@ -67,7 +67,7 @@ Or, if an extension module like ``pytket-qiskit`` is installed:
     c = qiskit_to_tk(qc)
 
 See the
-`pytket user manual <https://cqcl.github.io/pytket/manual/index.html>`_
+`pytket user manual <https://tket.quantinuum.com/user-manual/index.html>`_
 for an extensive tutorial on pytket, providing a gentle introduction to its
 features and how to run circuits on backend devices, with worked examples.
 
@@ -109,4 +109,4 @@ The following code snippet will show how to compile a circuit to run on an IBM d
 Here the default compilation pass is applied by :py:meth:`IBMQBackend.get_compiled_circuit`. See `this page <https://cqcl.github.io/pytket-qiskit/api/index.html#default-compilation>`_ for more details.
 
 As an alternative, We can experiment with constructing our own circuit compilation routines in pytket. Passes from the :py:mod:`pytket.passes` module can be applied individually or composed in sequence. 
-See the section of the user manual on `circuit compilation <https://cqcl.github.io/pytket/manual/manual_compiler.html>`_ and the corresponding `notebook example <https://github.com/CQCL/pytket/blob/main/examples/compilation_example.ipynb>`_ for more.
+See the section of the user manual on `circuit compilation <https://tket.quantinuum.com/user-manual/manual_compiler.html>`_ and the corresponding `notebook example <https://github.com/CQCL/pytket/blob/main/examples/compilation_example.ipynb>`_ for more.
diff --git a/pytket/docs/index.rst b/pytket/docs/index.rst
index 57f3761305..9bbf64265f 100644
--- a/pytket/docs/index.rst
+++ b/pytket/docs/index.rst
@@ -19,7 +19,7 @@ If you have issues installing ``pytket`` please visit the `installation troubles
 To use ``pytket``, you can simply import the appropriate modules into your python code or in an interactive Python notebook. We can build circuits directly using the ``pytket`` interface by creating a blank circuit and adding gates in the order we want to apply them.
 
 See the `Getting Started`_ page for a basic tutorial on using
-``pytket``. To get more in depth on features, see the `examples`_. See the `pytket user manual <https://cqcl.github.io/pytket/manual/index.html>`_ for an extensive introduction to ``pytket`` functionality and how to use it.
+``pytket``. To get more in depth on features, see the `examples`_. See the `pytket user manual <https://tket.quantinuum.com/user-manual/index.html>`_ for an extensive introduction to ``pytket`` functionality and how to use it.
 
 Extensions
 ~~~~~~~~~~
@@ -86,7 +86,7 @@ Licensed under the `Apache 2 License <http://www.apache.org/licenses/LICENSE-2.0
 .. toctree::
     :caption: More Documentation:
     
-    Manual <https://cqcl.github.io/pytket/manual/index.html>
+    Manual <https://tket.quantinuum.com/user-manual/>
     extensions_index.rst  
     Example notebooks <https://tket.quantinuum.com/examples>
 
diff --git a/pytket/docs/passes.rst b/pytket/docs/passes.rst
index 8976af925e..5aee9536ef 100644
--- a/pytket/docs/passes.rst
+++ b/pytket/docs/passes.rst
@@ -9,7 +9,7 @@ Also there are special purpose passes such as `OptimisePhaseGadgets <https://cqc
 
 Rebase passes can be used to convert a circuit to a desired gateset. See `RebaseCustom <https://cqcl.github.io/tket/pytket/api/passes.html#pytket.passes.RebaseCustom>`_ and `auto_rebase_pass <https://cqcl.github.io/tket/pytket/api/passes.html#module-pytket.passes.auto_rebase>`_.
 
-For more on pytket passes see the `compilation <https://cqcl.github.io/pytket/manual/manual_compiler.html>`_ section of the user manual or the `notebook tutorials <https://tket.quantinuum.com/examples>`_
+For more on pytket passes see the `compilation <https://tket.quantinuum.com/user-manual/manual_compiler.html>`_ section of the user manual or the `notebook tutorials <https://tket.quantinuum.com/examples>`_
 
 
 .. automodule:: pytket._tket.passes
diff --git a/pytket/docs/placement.rst b/pytket/docs/placement.rst
index 61d0c4a6d9..d7b2184662 100644
--- a/pytket/docs/placement.rst
+++ b/pytket/docs/placement.rst
@@ -3,7 +3,7 @@ pytket.placement
 In order for the constraints of a :py:class:`Backend` to be solved we must first assign device qubits to device-independent (or program) qubits. 
 This module contains three placement methods to perform such an assignment. 
 
-For more on qubit placement (and routing in general) see the `qubit mapping <https://github.com/CQCL/pytket/blob/main/examples/mapping_example.ipynb>`_ tutorial and the corresponding entry in the `user manual <https://cqcl.github.io/pytket/manual/manual_compiler.html#placement>`_.
+For more on qubit placement (and routing in general) see the `qubit mapping <https://github.com/CQCL/pytket/blob/main/examples/mapping_example.ipynb>`_ tutorial and the corresponding entry in the `user manual <https://tket.quantinuum.com/user-manual/manual_compiler.html#placement>`_.
 
 .. automodule:: pytket._tket.placement
     :members:
diff --git a/pytket/docs/predicates.rst b/pytket/docs/predicates.rst
index e06702ad66..ee797a0aa7 100644
--- a/pytket/docs/predicates.rst
+++ b/pytket/docs/predicates.rst
@@ -3,7 +3,7 @@ pytket.predicates
 
 In pytket, predicates enforce properties of circuits. Each pytket :py:class:`Backend` has its own set of predicates which must be satisfied before a quantum circuit can be executed. There are predicates that enforce restrictions including gateset, number of qubits and classical control.
 
-For more on predicates read the corresponding section of the `user manual <https://cqcl.github.io/pytket/manual/manual_compiler.html#predicates>`_. See also the `Compilation example <https://github.com/CQCL/pytket/blob/main/examples/compilation_example.ipynb>`_ notebook.
+For more on predicates read the corresponding section of the `user manual <https://tket.quantinuum.com/user-manual/manual_compiler.html#predicates>`_. See also the `Compilation example <https://github.com/CQCL/pytket/blob/main/examples/compilation_example.ipynb>`_ notebook.
 
 .. automodule:: pytket._tket.predicates
     :members:
diff --git a/pytket/docs/qasm.rst b/pytket/docs/qasm.rst
index 16b42ab40a..bfd2123800 100644
--- a/pytket/docs/qasm.rst
+++ b/pytket/docs/qasm.rst
@@ -16,7 +16,7 @@ We can set the ``header`` argument in the qasm conversion functions as follows.
 
     qasm_str = circuit_to_qasm_str(circ, header="hqslib1")
 
-.. note:: Unlike pytket backends, the qasm converters do not handle `implicit qubit permutations <https://cqcl.github.io/pytket/manual/manual_circuit.html#implicit-qubit-permutations>`_. In other words if a circuit containing an implicit qubit permutation is converted to a qasm file the implicit permutation will not be accounted for and the circuit will be missing this permutation when reimported.
+.. note:: Unlike pytket backends, the qasm converters do not handle `implicit qubit permutations <https://tket.quantinuum.com/user-manual/manual_circuit.html#implicit-qubit-permutations>`_. In other words if a circuit containing an implicit qubit permutation is converted to a qasm file the implicit permutation will not be accounted for and the circuit will be missing this permutation when reimported.
 
 .. automodule:: pytket.qasm
     :members: circuit_from_qasm, circuit_from_qasm_wasm, circuit_to_qasm, circuit_from_qasm_str, circuit_to_qasm_str, circuit_from_qasm_io, circuit_to_qasm_io
diff --git a/pytket/package.md b/pytket/package.md
index 29b4a7f4d4..e3498fd6b5 100644
--- a/pytket/package.md
+++ b/pytket/package.md
@@ -27,7 +27,7 @@ official Python distribution instead.
 
 API reference: https://cqcl.github.io/tket/pytket/api/
 
-To get started using pytket see the [user manual](https://cqcl.github.io/pytket/manual/index.html).
+To get started using pytket see the [user manual](https://tket.quantinuum.com/user-manual/).
 
 For worked examples using TKET see our [notebook examples](https://tket.quantinuum.com/examples).
 

From 22157352d8fda4d20cd41a94415331e0627fb0b6 Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Mon, 13 Nov 2023 14:40:06 +0000
Subject: [PATCH 25/36] [infra] Skip non-module libraries when generating
 stubs. (#1121)

---
 pytket/stub_generation/regenerate_stubs | 72 +++++++++++++++++--------
 1 file changed, 49 insertions(+), 23 deletions(-)

diff --git a/pytket/stub_generation/regenerate_stubs b/pytket/stub_generation/regenerate_stubs
index a927b3912c..1cc4ff895e 100755
--- a/pytket/stub_generation/regenerate_stubs
+++ b/pytket/stub_generation/regenerate_stubs
@@ -8,13 +8,17 @@ import pytket
 import pkgutil
 
 
-def replace_in_file_string(file_string: str, matcher: str, replacement: str) -> tuple[str, int]:
+def replace_in_file_string(
+    file_string: str, matcher: str, replacement: str
+) -> tuple[str, int]:
     split_text = re.split(matcher, file_string)
     modified_text = replacement.join(split_text)
     return modified_text, len(split_text) - 1
 
 
-def replace_in_file_string_multiline(file_string: str, matcher: str, replacement: str) -> tuple[str, int]:
+def replace_in_file_string_multiline(
+    file_string: str, matcher: str, replacement: str
+) -> tuple[str, int]:
     split_text = re.split(matcher, file_string, re.MULTILINE)
     modified_text = replacement.join(split_text)
     return modified_text, len(split_text) - 1
@@ -27,8 +31,12 @@ class StubFixer:
     handle_circuit_depth_needed: bool = False
 
     def handle_args_kwargs_types(self, file_string: str) -> str:
-        modified, n_args = replace_in_file_string(file_string, "\*args(?=[^:])", "*args: Any")
-        modified, n_kwargs = replace_in_file_string(modified, "\*\*kwargs(?=[^:])", "**kwargs: Any")
+        modified, n_args = replace_in_file_string(
+            file_string, "\*args(?=[^:])", "*args: Any"
+        )
+        modified, n_kwargs = replace_in_file_string(
+            modified, "\*\*kwargs(?=[^:])", "**kwargs: Any"
+        )
         n_total = n_args + n_kwargs
         if n_total > 0 and not re.search("from typing import .*Any", modified):
             self.handle_args_kwargs_needed = True
@@ -40,50 +48,68 @@ class StubFixer:
         modified_text = "NDArray[".join(split_text)
         if len(split_text) > 1:
             modified_text, _ = replace_in_file_string(modified_text, "\[., .\]", "")
-            modified_text, _ = replace_in_file_string(modified_text, "NDArray\[bool\]", "NDArray[numpy.bool_]")
-            modified_text = "from numpy.typing import NDArray" + os.linesep + modified_text
+            modified_text, _ = replace_in_file_string(
+                modified_text, "NDArray\[bool\]", "NDArray[numpy.bool_]"
+            )
+            modified_text = (
+                "from numpy.typing import NDArray" + os.linesep + modified_text
+            )
             self.handle_numpy_stuff_needed = True
             return modified_text
         return file_string
 
     def print_info(self):
         if not self.handle_args_kwargs_needed:
-            print(f"Info: No file required the transformation `{self.handle_args_kwargs_types.__name__}`. Is it still needed?")
+            print(
+                f"Info: No file required the transformation `{self.handle_args_kwargs_types.__name__}`. Is it still needed?"
+            )
         if not self.handle_numpy_stuff_needed:
-            print(f"Info: No file required the transformation `{self.handle_numpy_stuff.__name__}`. Is it still needed?")
+            print(
+                f"Info: No file required the transformation `{self.handle_numpy_stuff.__name__}`. Is it still needed?"
+            )
 
 
 if __name__ == "__main__":
     parser = argparse.ArgumentParser(
-        prog='StubGenerator',
-        description='generates type stubs for pybind11 modules',
+        prog="StubGenerator",
+        description="generates type stubs for pybind11 modules",
     )
 
     pytket_dir = Path(__file__).parent.parent.resolve()
     gen_root_dir = pytket_dir
     for mod in pkgutil.iter_modules(pytket._tket.__path__):
-        print(f"Generate {mod.name}.pyi")
-        subprocess.run([
-            "pybind11-stubgen",
-            f"pytket._tket.{mod.name}",
-            "--enum-class-locations", "CXConfigType|BasisOrder|OpType:pytket._tket.circuit",
-            "--enum-class-locations", "PauliSynthStrat:pytket._tket.transform",
-            "--enum-class-locations", "GraphColourMethod|PauliPartitionStrat:pytket._tket.partition",
-            "--enum-class-locations", "SafetyMode:pytket._tket.passes",
-            "--enum-class-locations", "ZXWireType|QuantumType:pytket._tket.zx",
-            "-o", gen_root_dir])
+        if not mod.name.startswith("lib"):
+            print(f"Generate {mod.name}.pyi")
+            subprocess.run(
+                [
+                    "pybind11-stubgen",
+                    f"pytket._tket.{mod.name}",
+                    "--enum-class-locations",
+                    "CXConfigType|BasisOrder|OpType:pytket._tket.circuit",
+                    "--enum-class-locations",
+                    "PauliSynthStrat:pytket._tket.transform",
+                    "--enum-class-locations",
+                    "GraphColourMethod|PauliPartitionStrat:pytket._tket.partition",
+                    "--enum-class-locations",
+                    "SafetyMode:pytket._tket.passes",
+                    "--enum-class-locations",
+                    "ZXWireType|QuantumType:pytket._tket.zx",
+                    "-o",
+                    gen_root_dir,
+                ]
+            )
 
     print("Cleanup:")
     stub_fixer = StubFixer()
-    for path in Path(f'{gen_root_dir}/pytket/_tket').iterdir():
+    for path in Path(f"{gen_root_dir}/pytket/_tket").iterdir():
         if path.is_file() and path.suffix == ".pyi":
             print(f"  Fixing {path}")
-            with path.open('r+') as file:
+            with path.open("r+") as file:
                 text = file.read()
                 text = stub_fixer.handle_args_kwargs_types(text)
                 text = stub_fixer.handle_numpy_stuff(text)
 
-            with path.open('w') as file:
+            with path.open("w") as file:
                 file.write(text)
 
     print("")

From 48394a04165d7d28723589aa6845612537c1ae96 Mon Sep 17 00:00:00 2001
From: Travis Thompson <102229498+trvto@users.noreply.github.com>
Date: Tue, 14 Nov 2023 09:34:17 +0100
Subject: [PATCH 26/36] add job to check all build and test jobs successful
 (#1123)

---
 .github/workflows/build_and_test.yml | 36 ++++++++++++++++++++++++++++
 1 file changed, 36 insertions(+)

diff --git a/.github/workflows/build_and_test.yml b/.github/workflows/build_and_test.yml
index 2b2e7b7301..738da60228 100644
--- a/.github/workflows/build_and_test.yml
+++ b/.github/workflows/build_and_test.yml
@@ -577,3 +577,39 @@ jobs:
       run: |
         wget https://cqcl.github.io/tket/pytket/test-coverage/cov.xml -O oldcov.xml
         ./.github/workflows/compare-pytket-coverage oldcov.xml pytket-test-coverage/cov.xml
+
+  check_all_build_and_test_jobs_successful:
+    name: All build and test jobs successful (or skipped)
+    needs:
+      - check_changes
+      - check_docs_tket
+      - check_format_tket
+      - build_test_tket
+      - build_test_tket_windows
+      - publish_pytket_coverage
+      - build_test_pytket_macos
+      - build_test_pytket_ubuntu
+      - build_test_pytket_windows
+      - publish_pytket_coverage
+      - check_pytket_coverage
+    if: always()
+    runs-on: ubuntu-22.04
+    steps:
+      - shell: python
+        name: Check job results
+        run: |
+          results = [
+              "${{ needs.check_changes.result }}",
+              "${{ needs.check_docs_tket.result }}",
+              "${{ needs.check_format_tket.result }}",
+              "${{ needs.build_test_tket.result }}",
+              "${{ needs.build_test_tket_windows.result }}",
+              "${{ needs.publish_pytket_coverage.result }}",
+              "${{ needs.build_test_pytket_macos.result }}",
+              "${{ needs.build_test_pytket_ubuntu.result }}",
+              "${{ needs.build_test_pytket_windows.result }}"
+              "${{ needs.publish_pytket_coverage.result }}",
+              "${{ needs.check_pytket_coverage.result }}",
+          ]
+          if "failure" in results or "cancelled" in results:
+              raise Exception

From 8c545a2792935ac92145f133cd62873e51df2954 Mon Sep 17 00:00:00 2001
From: Travis Thompson <102229498+trvto@users.noreply.github.com>
Date: Tue, 14 Nov 2023 11:57:36 +0100
Subject: [PATCH 27/36] [infra] remove tket build dummy job (#1124)

---
 .github/workflows/build_and_test.yml | 11 -----------
 1 file changed, 11 deletions(-)

diff --git a/.github/workflows/build_and_test.yml b/.github/workflows/build_and_test.yml
index 738da60228..1f6edf16cf 100644
--- a/.github/workflows/build_and_test.yml
+++ b/.github/workflows/build_and_test.yml
@@ -219,17 +219,6 @@ jobs:
           ccache -s  #show stats
           ccache -z  #show stats
 
-  build_test_tket_not_required:
-    name: Build and test (tket)
-    needs: check_changes
-    if: needs.check_changes.outputs.tket_or_workflow_changed != 'true'
-    strategy:
-      matrix:
-        os: ['ubuntu-22.04', 'macos-12', 'windows-2022', 'macos-13-xlarge']
-    runs-on: ${{ matrix.os }}
-    steps:
-      - run: echo "no changes to tket"
-
   build_test_pytket_ubuntu:
     name: Build and test pytket (ubuntu)
     needs: check_changes

From 145a37e3670bd032c4f771f433e5f3273fbb3bff Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Tue, 14 Nov 2023 15:09:03 +0000
Subject: [PATCH 28/36] [infra] Run type-stub checks on macos-13-xlarge.
 (#1126)

---
 .github/workflows/build_and_test.yml | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/.github/workflows/build_and_test.yml b/.github/workflows/build_and_test.yml
index 1f6edf16cf..323c26c818 100644
--- a/.github/workflows/build_and_test.yml
+++ b/.github/workflows/build_and_test.yml
@@ -393,7 +393,7 @@ jobs:
         python${{ matrix.python-version }} -m pip install -r requirements.txt
         python${{ matrix.python-version }} -m pytest --ignore=simulator/
     - name: Check type stubs are up-to-date and run mypy
-      if: matrix.os == 'macos-12' && (github.event_name == 'pull_request' || github.event_name == 'workflow_dispatch')
+      if: matrix.os == 'macos-13-xlarge' && (github.event_name == 'pull_request' || github.event_name == 'workflow_dispatch')
       run: |
         python${{ matrix.python-version }} -m pip install -U mypy
         python${{ matrix.python-version }} -m pip install -U pybind11-stubgen

From 73b44bb94484a4624134f8ddf70091a5bbceb4d8 Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Tue, 14 Nov 2023 15:56:22 +0000
Subject: [PATCH 29/36] [feature] Add DummyBox (#1120)

---
 pytket/binders/circuit/Circuit/add_op.cpp    |  42 +++++
 pytket/binders/circuit/Circuit/main.cpp      |  77 +++++++++
 pytket/binders/circuit/boxes.cpp             | 130 ++++++++++++++
 pytket/binders/circuit/main.cpp              |   3 +
 pytket/conanfile.py                          |   2 +-
 pytket/docs/changelog.rst                    |   3 +
 pytket/docs/circuit.rst                      |  11 +-
 pytket/pytket/_tket/circuit.pyi              | 168 ++++++++++++++++++-
 pytket/tests/circuit_test.py                 |  96 +++++++++++
 schemas/circuit_v1.json                      |  76 +++++++++
 tket/CMakeLists.txt                          |   4 +
 tket/conanfile.py                            |   2 +-
 tket/include/tket/Circuit/Circuit.hpp        |  11 ++
 tket/include/tket/Circuit/DummyBox.hpp       |  91 ++++++++++
 tket/include/tket/Circuit/ResourceData.hpp   |  60 +++++++
 tket/include/tket/OpType/OpType.hpp          |   7 +-
 tket/include/tket/OpType/OpTypeFunctions.hpp |   6 +
 tket/src/Circuit/Circuit.cpp                 | 137 +++++++++++++--
 tket/src/Circuit/DummyBox.cpp                |  76 +++++++++
 tket/src/Circuit/ResourceData.cpp            |  44 +++++
 tket/src/Circuit/setters_and_getters.cpp     |   4 +
 tket/src/OpType/OpTypeFunctions.cpp          |  13 +-
 tket/src/OpType/OpTypeInfo.cpp               |   1 +
 tket/test/CMakeLists.txt                     |   1 +
 tket/test/src/Circuit/test_DummyBox.cpp      |  55 ++++++
 tket/test/src/test_json.cpp                  |  18 ++
 26 files changed, 1117 insertions(+), 21 deletions(-)
 create mode 100644 tket/include/tket/Circuit/DummyBox.hpp
 create mode 100644 tket/include/tket/Circuit/ResourceData.hpp
 create mode 100644 tket/src/Circuit/DummyBox.cpp
 create mode 100644 tket/src/Circuit/ResourceData.cpp
 create mode 100644 tket/test/src/Circuit/test_DummyBox.cpp

diff --git a/pytket/binders/circuit/Circuit/add_op.cpp b/pytket/binders/circuit/Circuit/add_op.cpp
index a7a38daffd..087c84afde 100644
--- a/pytket/binders/circuit/Circuit/add_op.cpp
+++ b/pytket/binders/circuit/Circuit/add_op.cpp
@@ -25,12 +25,14 @@
 #include "tket/Circuit/ClassicalExpBox.hpp"
 #include "tket/Circuit/ConjugationBox.hpp"
 #include "tket/Circuit/DiagonalBox.hpp"
+#include "tket/Circuit/DummyBox.hpp"
 #include "tket/Circuit/Multiplexor.hpp"
 #include "tket/Circuit/PauliExpBoxes.hpp"
 #include "tket/Circuit/StatePreparation.hpp"
 #include "tket/Circuit/ToffoliBox.hpp"
 #include "tket/Converters/PhasePoly.hpp"
 #include "tket/Gate/OpPtrFunctions.hpp"
+#include "tket/Utils/UnitID.hpp"
 #include "typecast.hpp"
 namespace py = pybind11;
 
@@ -332,6 +334,30 @@ void init_circuit_add_op(py::class_<Circuit, std::shared_ptr<Circuit>> &c) {
           "qubits: Indices of the qubits to append the box to"
           "\n:return: the new :py:class:`Circuit`",
           py::arg("toffolibox"), py::arg("qubits"))
+      .def(
+          "add_dummybox",
+          [](Circuit *circ, const DummyBox &box,
+             const py::tket_custom::SequenceVec<unsigned> &qubits,
+             const py::tket_custom::SequenceVec<unsigned> &bits,
+             const py::kwargs &kwargs) {
+            std::vector<UnitID> args;
+            for (unsigned i : qubits) {
+              args.push_back(Qubit(i));
+            }
+            for (unsigned i : bits) {
+              args.push_back(Bit(i));
+            }
+            return add_box_method<UnitID>(
+                circ, std::make_shared<DummyBox>(box), args, kwargs);
+          },
+          "Append a :py:class:`DummyBox` to the circuit."
+          "\n\n:param dummybox: The box to append"
+          "\n:param qubits: Indices (in the default register) of the qubits to "
+          "append the box to"
+          "\n:param bits: Indices of the bits (in the default register) to "
+          "append the box to"
+          "\n:return: the new :py:class:`Circuit`",
+          py::arg("dummybox"), py::arg("qubits"), py::arg("bits"))
       .def(
           "add_qcontrolbox",
           [](Circuit *circ, const QControlBox &box,
@@ -603,6 +629,22 @@ void init_circuit_add_op(py::class_<Circuit, std::shared_ptr<Circuit>> &c) {
           "qubits: Indices of the qubits to append the box to"
           "\n:return: the new :py:class:`Circuit`",
           py::arg("toffolibox"), py::arg("qubits"))
+      .def(
+          "add_dummybox",
+          [](Circuit *circ, const DummyBox &box,
+             const py_qubit_vector_t &qubits, const py_bit_vector_t &bits,
+             const py::kwargs &kwargs) {
+            std::vector<UnitID> args = {qubits.begin(), qubits.end()};
+            args.insert(args.end(), bits.begin(), bits.end());
+            return add_box_method<UnitID>(
+                circ, std::make_shared<DummyBox>(box), args, kwargs);
+          },
+          "Append a :py:class:`DummyBox` to the circuit."
+          "\n\n:param dummybox: The box to append"
+          "\n:param qubits: Qubits to append the box to"
+          "\n:param bits: Bits to append the box to"
+          "\n:return: the new :py:class:`Circuit`",
+          py::arg("dummybox"), py::arg("qubits"), py::arg("bits"))
       .def(
           "add_qcontrolbox",
           [](Circuit *circ, const QControlBox &box,
diff --git a/pytket/binders/circuit/Circuit/main.cpp b/pytket/binders/circuit/Circuit/main.cpp
index fe56309db0..44ad29ea8c 100644
--- a/pytket/binders/circuit/Circuit/main.cpp
+++ b/pytket/binders/circuit/Circuit/main.cpp
@@ -29,6 +29,7 @@
 #include "tket/Circuit/Boxes.hpp"
 #include "tket/Circuit/Circuit.hpp"
 #include "tket/Circuit/Command.hpp"
+#include "tket/Circuit/DummyBox.hpp"
 #include "tket/Circuit/PauliExpBoxes.hpp"
 #include "tket/Circuit/Simulation/CircuitSimulator.hpp"
 #include "tket/Circuit/ToffoliBox.hpp"
@@ -763,6 +764,17 @@ void def_circuit(py::class_<Circuit, std::shared_ptr<Circuit>> &pyCircuit) {
           ":param opgroup: the name of the operations group to replace\n"
           ":return: whether any replacements were made",
           py::arg("box"), py::arg("opgroup"))
+      .def(
+          "substitute_named",
+          [](Circuit &circ, const DummyBox &box, const std::string &opgroup) {
+            return circ.substitute_named(box, opgroup);
+          },
+          "Substitute all ops with the given name for the given box."
+          "The replacement boxes retain the same name.\n\n"
+          ":param box: the replacement DummyBox\n"
+          ":param opgroup: the name of the operations group to replace\n"
+          ":return: whether any replacements were made",
+          py::arg("box"), py::arg("opgroup"))
       .def(
           "substitute_named",
           [](Circuit &circ, const QControlBox &box,
@@ -854,6 +866,71 @@ void def_circuit(py::class_<Circuit, std::shared_ptr<Circuit>> &pyCircuit) {
           "\n\n:param optype: operation type"
           "\n\n:return: list of :py:class:`Command`",
           py::arg("optype"))
+      .def(
+          "get_resources", &Circuit::get_resources,
+          "Calculate the overall resources of the circuit."
+          "\n\nThis takes account of the data stored in each "
+          "py:class:`DummyBox` within the circuit, as well as other gates, "
+          "to compute upper and lower bounds."
+          "\n\n:return: bounds on resources of the circuit"
+          "\n\n"
+          ">>> resource_data0 = ResourceData(\n"
+          "...     op_type_count={\n"
+          "...         OpType.T: ResourceBounds(1, 2),\n"
+          "...         OpType.H: ResourceBounds(0, 1),\n"
+          "...         OpType.CX: ResourceBounds(1, 2),\n"
+          "...         OpType.CZ: ResourceBounds(3, 3),\n"
+          "...     },\n"
+          "...     gate_depth=ResourceBounds(5, 8),\n"
+          "...     op_type_depth={\n"
+          "...         OpType.T: ResourceBounds(0, 10),\n"
+          "...         OpType.H: ResourceBounds(0, 10),\n"
+          "...         OpType.CX: ResourceBounds(1, 2),\n"
+          "...         OpType.CZ: ResourceBounds(3, 3),\n"
+          "...     },\n"
+          "...     two_qubit_gate_depth=ResourceBounds(4, 5),\n"
+          "... )\n"
+          ">>> dbox0 = DummyBox(n_qubits=2, n_bits=0, "
+          "resource_data=resource_data0)\n"
+          ">>> resource_data1 = ResourceData(\n"
+          "...     op_type_count={\n"
+          "...         OpType.T: ResourceBounds(2, 2),\n"
+          "...         OpType.H: ResourceBounds(1, 1),\n"
+          "...         OpType.CX: ResourceBounds(2, 3),\n"
+          "...         OpType.CZ: ResourceBounds(3, 5),\n"
+          "...     },\n"
+          "...     gate_depth=ResourceBounds(5, 10),\n"
+          "...     op_type_depth={\n"
+          "...         OpType.T: ResourceBounds(1, 2),\n"
+          "...         OpType.H: ResourceBounds(2, 4),\n"
+          "...         OpType.CX: ResourceBounds(1, 1),\n"
+          "...         OpType.CZ: ResourceBounds(3, 4),\n"
+          "...     },\n"
+          "...     two_qubit_gate_depth=ResourceBounds(3, 5),\n"
+          "... )\n"
+          ">>> dbox1 = DummyBox(n_qubits=3, n_bits=0, "
+          "resource_data=resource_data1)\n"
+          ">>> c = (\n"
+          "...     Circuit(3)\n"
+          "...     .H(0)\n"
+          "...     .CX(1, 2)\n"
+          "...     .CX(0, 1)\n"
+          "...     .T(2)\n"
+          "...     .H(1)\n"
+          "...     .add_dummybox(dbox0, [0, 1], [])\n"
+          "...     .CZ(1, 2)\n"
+          "...     .add_dummybox(dbox1, [0, 1, 2], [])\n"
+          "...     .H(2)\n"
+          "... )\n"
+          ">>> resource_data = c.get_resources()\n"
+          ">>> print(resource_data)\n"
+          "ResourceData(op_type_count={OpType.T: ResourceBounds(4, 5), "
+          "OpType.H: ResourceBounds(4, 5), OpType.CX: ResourceBounds(5, 7), "
+          "OpType.CZ: ResourceBounds(7, 9), }, gate_depth=ResourceBounds(15, "
+          "23), op_type_depth={OpType.T: ResourceBounds(2, 12), OpType.H: "
+          "ResourceBounds(5, 17), OpType.CX: ResourceBounds(4, 5), OpType.CZ: "
+          "ResourceBounds(7, 8), }, two_qubit_gate_depth=ResourceBounds(10, "
+          "13))")
       .def_property_readonly(
           "_dag_data",
           [](Circuit &circ) {
diff --git a/pytket/binders/circuit/boxes.cpp b/pytket/binders/circuit/boxes.cpp
index 9a20f64f64..1747ad57d0 100644
--- a/pytket/binders/circuit/boxes.cpp
+++ b/pytket/binders/circuit/boxes.cpp
@@ -17,16 +17,22 @@
 #include <pybind11/eigen.h>
 #include <pybind11/pybind11.h>
 
+#include <memory>
+#include <sstream>
+
 #include "binder_json.hpp"
 #include "binder_utils.hpp"
 #include "tket/Circuit/Circuit.hpp"
 #include "tket/Circuit/ConjugationBox.hpp"
 #include "tket/Circuit/DiagonalBox.hpp"
+#include "tket/Circuit/DummyBox.hpp"
 #include "tket/Circuit/Multiplexor.hpp"
 #include "tket/Circuit/PauliExpBoxes.hpp"
+#include "tket/Circuit/ResourceData.hpp"
 #include "tket/Circuit/StatePreparation.hpp"
 #include "tket/Circuit/ToffoliBox.hpp"
 #include "tket/Converters/PhasePoly.hpp"
+#include "tket/OpType/OpType.hpp"
 #include "tket/Utils/HelperFunctions.hpp"
 #include "tket/Utils/Json.hpp"
 #include "typecast.hpp"
@@ -453,6 +459,130 @@ void init_boxes(py::module &m) {
       .def(
           "get_rotation_axis", &ToffoliBox::get_rotation_axis,
           ":return: the rotation axis");
+  py::class_<ResourceBounds<unsigned>>(
+      m, "ResourceBounds",
+      "Structure holding a minimum and maximum value of some resource, where "
+      "both values are unsigned integers.")
+      .def(
+          py::init([](unsigned min, unsigned max) {
+            if (min > max) {
+              throw std::invalid_argument(
+                  "minimum must be less than or equal to maximum");
+            }
+            return ResourceBounds<unsigned>{min, max};
+          }),
+          "Constructs a ResourceBounds object.\n\n"
+          ":param min: minimum value\n"
+          ":param max: maximum value\n",
+          py::arg("min"), py::arg("max"))
+      .def(
+          "get_min",
+          [](const ResourceBounds<unsigned> &resource_bounds) {
+            return resource_bounds.min;
+          },
+          ":return: the minimum value")
+      .def(
+          "get_max",
+          [](const ResourceBounds<unsigned> &resource_bounds) {
+            return resource_bounds.max;
+          },
+          ":return: the maximum value");
+  py::class_<ResourceData>(
+      m, "ResourceData",
+      "An object holding resource data for use in a :py:class:`DummyBox`."
+      "\n\nThe object holds several fields representing minimum and maximum "
+      "values for certain resources. The absence of an :py:class:`OpType` in "
+      "one of these fields is interpreted as the absence of gates of that type "
+      "in the (imagined) circuit."
+      "\n\nSee :py:meth:`Circuit.get_resources` for how to use this data.")
+      .def(
+          py::init([](std::map<OpType, ResourceBounds<unsigned>> op_type_count,
+                      ResourceBounds<unsigned> gate_depth,
+                      std::map<OpType, ResourceBounds<unsigned>> op_type_depth,
+                      ResourceBounds<unsigned> two_qubit_gate_depth) {
+            return ResourceData{
+                op_type_count, gate_depth, op_type_depth, two_qubit_gate_depth};
+          }),
+          "Constructs a ResourceData object.\n\n"
+          ":param op_type_count: dictionary of counts of selected "
+          ":py:class:`OpType`\n"
+          ":param gate_depth: overall gate depth\n"
+          ":param op_type_depth: dictionary of depths of selected "
+          ":py:class:`OpType`\n"
+          ":param two_qubit_gate_depth: overall two-qubit-gate depth",
+          py::arg("op_type_count"), py::arg("gate_depth"),
+          py::arg("op_type_depth"), py::arg("two_qubit_gate_depth"))
+      .def(
+          "get_op_type_count",
+          [](const ResourceData &resource_data) {
+            return resource_data.OpTypeCount;
+          },
+          ":return: bounds on the op type count")
+      .def(
+          "get_gate_depth",
+          [](const ResourceData &resource_data) {
+            return resource_data.GateDepth;
+          },
+          ":return: bounds on the gate depth")
+      .def(
+          "get_op_type_depth",
+          [](const ResourceData &resource_data) {
+            return resource_data.OpTypeDepth;
+          },
+          ":return: bounds on the op type depth")
+      .def(
+          "get_two_qubit_gate_depth",
+          [](const ResourceData &resource_data) {
+            return resource_data.TwoQubitGateDepth;
+          },
+          ":return: bounds on the two-qubit-gate depth")
+      .def("__repr__", [](const ResourceData &resource_data) {
+        std::stringstream ss;
+        ss << "ResourceData(";
+        ss << "op_type_count={";
+        for (const auto &pair : resource_data.OpTypeCount) {
+          ss << "OpType." << optypeinfo().at(pair.first).name << ": "
+             << "ResourceBounds(" << pair.second.min << ", " << pair.second.max
+             << "), ";
+        }
+        ss << "}, ";
+        ss << "gate_depth=ResourceBounds(" << resource_data.GateDepth.min
+           << ", " << resource_data.GateDepth.max << "), ";
+        ss << "op_type_depth={";
+        for (const auto &pair : resource_data.OpTypeDepth) {
+          ss << "OpType." << optypeinfo().at(pair.first).name << ": "
+             << "ResourceBounds(" << pair.second.min << ", " << pair.second.max
+             << "), ";
+        }
+        ss << "}, ";
+        ss << "two_qubit_gate_depth=ResourceBounds("
+           << resource_data.TwoQubitGateDepth.min << ", "
+           << resource_data.TwoQubitGateDepth.max << ")";
+        ss << ")";
+        return ss.str();
+      });
+  py::class_<DummyBox, std::shared_ptr<DummyBox>, Op>(
+      m, "DummyBox",
+      "A placeholder operation that holds resource data. This box type cannot "
+      "be decomposed into a circuit. It only serves to record resource data "
+      "for a region of a circuit: for example, upper and lower bounds on gate "
+      "counts and depth. A circuit containing such a box cannot be executed.")
+      .def(
+          py::init([](unsigned n_qubits, unsigned n_bits,
+                      const ResourceData &resource_data) {
+            return DummyBox(n_qubits, n_bits, resource_data);
+          }),
+          "Construct a new instance from some resource data.",
+          py::arg("n_qubits"), py::arg("n_bits"), py::arg("resource_data"))
+      .def(
+          "get_n_qubits", &DummyBox::get_n_qubits,
+          ":return: the number of qubits covered by the box")
+      .def(
+          "get_n_bits", &DummyBox::get_n_bits,
+          ":return: the number of bits covered by the box")
+      .def(
+          "get_resource_data", &DummyBox::get_resource_data,
+          ":return: the associated resource data");
   py::class_<QControlBox, std::shared_ptr<QControlBox>, Op>(
       m, "QControlBox",
       "A user-defined controlled operation specified by an "
diff --git a/pytket/binders/circuit/main.cpp b/pytket/binders/circuit/main.cpp
index d14ec311b1..4730cef3ec 100644
--- a/pytket/binders/circuit/main.cpp
+++ b/pytket/binders/circuit/main.cpp
@@ -330,6 +330,9 @@ PYBIND11_MODULE(circuit, m) {
       .value(
           "ToffoliBox", OpType::ToffoliBox,
           "A permutation of classical basis states")
+      .value(
+          "DummyBox", OpType::DummyBox,
+          "A placeholder operation that holds resource data")
       .value(
           "CustomGate", OpType::CustomGate,
           ":math:`(\\alpha, \\beta, \\ldots) \\mapsto` A user-defined "
diff --git a/pytket/conanfile.py b/pytket/conanfile.py
index e75f704d46..756035975c 100644
--- a/pytket/conanfile.py
+++ b/pytket/conanfile.py
@@ -32,7 +32,7 @@ def package(self):
         cmake.install()
 
     def requirements(self):
-        self.requires("tket/1.2.67@tket/stable")
+        self.requires("tket/1.2.68@tket/stable")
         self.requires("tklog/0.3.3@tket/stable")
         self.requires("tkrng/0.3.3@tket/stable")
         self.requires("tkassert/0.3.4@tket/stable")
diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index 71cba0ff00..e38e7c3d31 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -9,6 +9,9 @@ Minor new features:
 * Add optional parameter to QASM conversion methods to set the maximum allowed
   width of classical registers (default 32).
 * New ``OpType.CS`` and ``OpType.CSdg``.
+* New classes ``ResourceBounds``, ``ResourceData`` and ``DummyBox``, and method
+  ``Circuit.get_resources()``, allowing reasoning about resource requirements
+  on circuit templates.
 
 Fixes:
 
diff --git a/pytket/docs/circuit.rst b/pytket/docs/circuit.rst
index a56d730742..b8f4c3342c 100644
--- a/pytket/docs/circuit.rst
+++ b/pytket/docs/circuit.rst
@@ -102,4 +102,13 @@ pytket.circuit
     :members:
 .. autoclass:: pytket._tket.circuit.ConjugationBox
     :special-members:
-    :members:
\ No newline at end of file
+    :members:
+.. autoclass:: pytket._tket.circuit.ResourceBounds
+    :special-members:
+    :members:
+.. autoclass:: pytket._tket.circuit.ResourceData
+    :special-members:
+    :members:
+.. autoclass:: pytket._tket.circuit.DummyBox
+    :special-members:
+    :members:
diff --git a/pytket/pytket/_tket/circuit.pyi b/pytket/pytket/_tket/circuit.pyi
index a9c00a6819..76282ef6d5 100644
--- a/pytket/pytket/_tket/circuit.pyi
+++ b/pytket/pytket/_tket/circuit.pyi
@@ -9,7 +9,7 @@ import pytket.circuit.logic_exp
 import pytket.wasm.wasm
 import sympy
 import typing
-__all__ = ['BarrierOp', 'BasisOrder', 'CXConfigType', 'CircBox', 'Circuit', 'ClassicalEvalOp', 'ClassicalExpBox', 'ClassicalOp', 'Command', 'Conditional', 'ConjugationBox', 'CopyBitsOp', 'CustomGate', 'CustomGateDef', 'DiagonalBox', 'EdgeType', 'ExpBox', 'MetaOp', 'MultiBitOp', 'MultiplexedRotationBox', 'MultiplexedTensoredU2Box', 'MultiplexedU2Box', 'MultiplexorBox', 'Op', 'OpType', 'PauliExpBox', 'PauliExpCommutingSetBox', 'PauliExpPairBox', 'PhasePolyBox', 'ProjectorAssertionBox', 'QControlBox', 'RangePredicateOp', 'SetBitsOp', 'StabiliserAssertionBox', 'StatePreparationBox', 'ToffoliBox', 'ToffoliBoxSynthStrat', 'Unitary1qBox', 'Unitary2qBox', 'Unitary3qBox', 'WASMOp', 'fresh_symbol']
+__all__ = ['BarrierOp', 'BasisOrder', 'CXConfigType', 'CircBox', 'Circuit', 'ClassicalEvalOp', 'ClassicalExpBox', 'ClassicalOp', 'Command', 'Conditional', 'ConjugationBox', 'CopyBitsOp', 'CustomGate', 'CustomGateDef', 'DiagonalBox', 'DummyBox', 'EdgeType', 'ExpBox', 'MetaOp', 'MultiBitOp', 'MultiplexedRotationBox', 'MultiplexedTensoredU2Box', 'MultiplexedU2Box', 'MultiplexorBox', 'Op', 'OpType', 'PauliExpBox', 'PauliExpCommutingSetBox', 'PauliExpPairBox', 'PhasePolyBox', 'ProjectorAssertionBox', 'QControlBox', 'RangePredicateOp', 'ResourceBounds', 'ResourceData', 'SetBitsOp', 'StabiliserAssertionBox', 'StatePreparationBox', 'ToffoliBox', 'ToffoliBoxSynthStrat', 'Unitary1qBox', 'Unitary2qBox', 'Unitary3qBox', 'WASMOp', 'fresh_symbol']
 class BarrierOp(Op):
     """
     Barrier operations.
@@ -1424,6 +1424,26 @@ class Circuit:
         :return: the new :py:class:`Circuit`
         """
     @typing.overload
+    def add_dummybox(self, dummybox: DummyBox, qubits: typing.Sequence[int], bits: typing.Sequence[int], **kwargs: Any) -> Circuit:
+        """
+        Append a :py:class:`DummyBox` to the circuit.
+        
+        :param dummybox: The box to append
+        :param qubits: Indices (in the default register) of the qubits to append the box to
+        :param bits: Indices of the bits (in the default register) to append the box to
+        :return: the new :py:class:`Circuit`
+        """
+    @typing.overload
+    def add_dummybox(self, dummybox: DummyBox, qubits: typing.Sequence[pytket._tket.unit_id.Qubit], bits: typing.Sequence[pytket._tket.unit_id.Bit], **kwargs: Any) -> Circuit:
+        """
+        Append a :py:class:`DummyBox` to the circuit.
+        
+        :param dummybox: The box to append
+        :param qubits: Qubits to append the box to
+        :param bits: Bits to append the box to
+        :return: the new :py:class:`Circuit`
+        """
+    @typing.overload
     def add_expbox(self, expbox: ExpBox, qubit_0: int, qubit_1: int, **kwargs: Any) -> Circuit:
         """
         Append an :py:class:`ExpBox` to the circuit.
@@ -1977,6 +1997,64 @@ class Circuit:
         :param name: name for the register
         :return: the retrieved :py:class:`QubitRegister`
         """
+    def get_resources(self) -> ResourceData:
+        """
+        Calculate the overall resources of the circuit.
+        
+        This takes account of the data stored in each py:class:`DummyBox` within the circuit, as well as other gates, to compute upper and lower bounds.
+        
+        :return: bounds on resources of the circuit
+        
+        >>> resource_data0 = ResourceData(
+        ...     op_type_count={
+        ...         OpType.T: ResourceBounds(1, 2),
+        ...         OpType.H: ResourceBounds(0, 1),
+        ...         OpType.CX: ResourceBounds(1, 2),
+        ...         OpType.CZ: ResourceBounds(3, 3),
+        ...     },
+        ...     gate_depth=ResourceBounds(5, 8),
+        ...     op_type_depth={
+        ...         OpType.T: ResourceBounds(0, 10),
+        ...         OpType.H: ResourceBounds(0, 10),
+        ...         OpType.CX: ResourceBounds(1, 2),
+        ...         OpType.CZ: ResourceBounds(3, 3),
+        ...     },
+        ...     two_qubit_gate_depth=ResourceBounds(4, 5),
+        ... )
+        >>> dbox0 = DummyBox(n_qubits=2, n_bits=0, resource_data=resource_data0)
+        >>> resource_data1 = ResourceData(
+        ...     op_type_count={
+        ...         OpType.T: ResourceBounds(2, 2),
+        ...         OpType.H: ResourceBounds(1, 1),
+        ...         OpType.CX: ResourceBounds(2, 3),
+        ...         OpType.CZ: ResourceBounds(3, 5),
+        ...     },
+        ...     gate_depth=ResourceBounds(5, 10),
+        ...     op_type_depth={
+        ...         OpType.T: ResourceBounds(1, 2),
+        ...         OpType.H: ResourceBounds(2, 4),
+        ...         OpType.CX: ResourceBounds(1, 1),
+        ...         OpType.CZ: ResourceBounds(3, 4),
+        ...     },
+        ...     two_qubit_gate_depth=ResourceBounds(3, 5),
+        ... )
+        >>> dbox1 = DummyBox(n_qubits=3, n_bits=0, resource_data=resource_data1)
+        >>> c = (
+        ...     Circuit(3)
+        ...     .H(0)
+        ...     .CX(1, 2)
+        ...     .CX(0, 1)
+        ...     .T(2)
+        ...     .H(1)
+        ...     .add_dummybox(dbox0, , [])
+        ...     .CZ(1, 2)
+        ...     .add_dummybox(dbox1, [0, 1, 2], [])
+        ...     .H(2)
+        ... )
+        >>> resource_data = c.get_resources()
+        >>> print(resource_data)
+        ResourceData(op_type_count={OpType.T: ResourceBounds(4, 5), OpType.H: ResourceBounds(4, 5), OpType.CX: ResourceBounds(5, 7), OpType.CZ: ResourceBounds(7, 9), }, gate_depth=ResourceBounds(15, 23), op_type_depth={OpType.T: ResourceBounds(2, 12), OpType.H: ResourceBounds(5, 17), OpType.CX: ResourceBounds(4, 5), OpType.CZ: ResourceBounds(7, 8), }, two_qubit_gate_depth=ResourceBounds(10, 13))
+        """
     def get_statevector(self) -> NDArray[numpy.complex128]:
         """
         Calculate the unitary matrix of the circuit, using ILO-BE convention, applied to the column vector (1,0,0...), which is thus another column vector. Due to pybind11 and numpy peculiarities, to treat the result as a genuine column vector and perform further matrix multiplication, you need to call .reshape(rows,1) to get a 2D matrix with the correct dimensions.
@@ -2175,6 +2253,15 @@ class Circuit:
         :return: whether any replacements were made
         """
     @typing.overload
+    def substitute_named(self, box: DummyBox, opgroup: str) -> bool:
+        """
+        Substitute all ops with the given name for the given box.The replacement boxes retain the same name.
+        
+        :param box: the replacement DummyBox
+        :param opgroup: the name of the operations group to replace
+        :return: whether any replacements were made
+        """
+    @typing.overload
     def substitute_named(self, box: QControlBox, opgroup: str) -> bool:
         """
         Substitute all ops with the given name for the given box.The replacement boxes retain the same name.
@@ -2567,6 +2654,26 @@ class DiagonalBox(Op):
         """
         :return: the upper_triangle flag
         """
+class DummyBox(Op):
+    """
+    A placeholder operation that holds resource data. This box type cannot be decomposed into a circuit. It only serves to record resource data for a region of a circuit: for example, upper and lower bounds on gate counts and depth. A circuit containing such a box cannot be executed.
+    """
+    def __init__(self, n_qubits: int, n_bits: int, resource_data: ResourceData) -> None:
+        """
+        Construct a new instance from some resource data.
+        """
+    def get_n_bits(self) -> int:
+        """
+        :return: the number of bits covered by the box
+        """
+    def get_n_qubits(self) -> int:
+        """
+        :return: the number of qubits covered by the box
+        """
+    def get_resource_data(self) -> ResourceData:
+        """
+        :return: the associated resource data
+        """
 class EdgeType:
     """
     Type of a wire in a circuit or input to an op
@@ -2997,6 +3104,8 @@ class OpType:
     
       ToffoliBox : A permutation of classical basis states
     
+      DummyBox : A placeholder operation that holds resource data
+    
       CustomGate : :math:`(\alpha, \beta, \ldots) \mapsto` A user-defined operation, based on a :py:class:`Circuit` :math:`C` with parameters :math:`\alpha, \beta, \ldots` substituted in place of bound symbolic variables in :math:`C`, as defined by the :py:class:`CustomGateDef`.
     
       Conditional : An operation to be applied conditionally on the value of some classical register
@@ -3096,6 +3205,7 @@ class OpType:
     CopyBits: typing.ClassVar[OpType]  # value = <OpType.CopyBits: 16>
     CustomGate: typing.ClassVar[OpType]  # value = <OpType.CustomGate: 93>
     DiagonalBox: typing.ClassVar[OpType]  # value = <OpType.DiagonalBox: 101>
+    DummyBox: typing.ClassVar[OpType]  # value = <OpType.DummyBox: 109>
     ECR: typing.ClassVar[OpType]  # value = <OpType.ECR: 66>
     ESWAP: typing.ClassVar[OpType]  # value = <OpType.ESWAP: 75>
     ExpBox: typing.ClassVar[OpType]  # value = <OpType.ExpBox: 88>
@@ -3158,7 +3268,7 @@ class OpType:
     Z: typing.ClassVar[OpType]  # value = <OpType.Z: 22>
     ZZMax: typing.ClassVar[OpType]  # value = <OpType.ZZMax: 70>
     ZZPhase: typing.ClassVar[OpType]  # value = <OpType.ZZPhase: 73>
-    __members__: typing.ClassVar[dict[str, OpType]]  # value = {'Phase': <OpType.Phase: 21>, 'Z': <OpType.Z: 22>, 'X': <OpType.X: 23>, 'Y': <OpType.Y: 24>, 'S': <OpType.S: 25>, 'Sdg': <OpType.Sdg: 26>, 'T': <OpType.T: 27>, 'Tdg': <OpType.Tdg: 28>, 'V': <OpType.V: 29>, 'Vdg': <OpType.Vdg: 30>, 'SX': <OpType.SX: 31>, 'SXdg': <OpType.SXdg: 32>, 'H': <OpType.H: 33>, 'Rx': <OpType.Rx: 34>, 'Ry': <OpType.Ry: 35>, 'Rz': <OpType.Rz: 36>, 'U1': <OpType.U1: 39>, 'U2': <OpType.U2: 38>, 'U3': <OpType.U3: 37>, 'TK1': <OpType.TK1: 40>, 'TK2': <OpType.TK2: 41>, 'CX': <OpType.CX: 42>, 'CY': <OpType.CY: 43>, 'CZ': <OpType.CZ: 44>, 'CH': <OpType.CH: 45>, 'CV': <OpType.CV: 46>, 'CVdg': <OpType.CVdg: 47>, 'CSX': <OpType.CSX: 48>, 'CSXdg': <OpType.CSXdg: 49>, 'CS': <OpType.CS: 50>, 'CSdg': <OpType.CSdg: 51>, 'CRz': <OpType.CRz: 52>, 'CRx': <OpType.CRx: 53>, 'CRy': <OpType.CRy: 54>, 'CU1': <OpType.CU1: 55>, 'CU3': <OpType.CU3: 56>, 'CCX': <OpType.CCX: 58>, 'ECR': <OpType.ECR: 66>, 'SWAP': <OpType.SWAP: 59>, 'CSWAP': <OpType.CSWAP: 60>, 'noop': <OpType.noop: 62>, 'Barrier': <OpType.Barrier: 8>, 'Label': <OpType.Label: 9>, 'Branch': <OpType.Branch: 10>, 'Goto': <OpType.Goto: 11>, 'Stop': <OpType.Stop: 12>, 'BRIDGE': <OpType.BRIDGE: 61>, 'Measure': <OpType.Measure: 63>, 'Reset': <OpType.Reset: 65>, 'CircBox': <OpType.CircBox: 84>, 'PhasePolyBox': <OpType.PhasePolyBox: 94>, 'Unitary1qBox': <OpType.Unitary1qBox: 85>, 'Unitary2qBox': <OpType.Unitary2qBox: 86>, 'Unitary3qBox': <OpType.Unitary3qBox: 87>, 'ExpBox': <OpType.ExpBox: 88>, 'PauliExpBox': <OpType.PauliExpBox: 89>, 'PauliExpPairBox': <OpType.PauliExpPairBox: 90>, 'PauliExpCommutingSetBox': <OpType.PauliExpCommutingSetBox: 91>, 'QControlBox': <OpType.QControlBox: 95>, 'ToffoliBox': <OpType.ToffoliBox: 107>, 'CustomGate': <OpType.CustomGate: 93>, 'Conditional': <OpType.Conditional: 104>, 'ISWAP': <OpType.ISWAP: 67>, 'PhasedISWAP': <OpType.PhasedISWAP: 79>, 'XXPhase': <OpType.XXPhase: 71>, 'YYPhase': <OpType.YYPhase: 72>, 'ZZPhase': <OpType.ZZPhase: 73>, 'XXPhase3': <OpType.XXPhase3: 74>, 'PhasedX': <OpType.PhasedX: 68>, 'NPhasedX': <OpType.NPhasedX: 69>, 'CnRy': <OpType.CnRy: 80>, 'CnX': <OpType.CnX: 81>, 'CnY': <OpType.CnY: 83>, 'CnZ': <OpType.CnZ: 82>, 'ZZMax': <OpType.ZZMax: 70>, 'ESWAP': <OpType.ESWAP: 75>, 'FSim': <OpType.FSim: 76>, 'Sycamore': <OpType.Sycamore: 77>, 'ISWAPMax': <OpType.ISWAPMax: 78>, 'ClassicalTransform': <OpType.ClassicalTransform: 13>, 'WASM': <OpType.WASM: 14>, 'SetBits': <OpType.SetBits: 15>, 'CopyBits': <OpType.CopyBits: 16>, 'RangePredicate': <OpType.RangePredicate: 17>, 'ExplicitPredicate': <OpType.ExplicitPredicate: 18>, 'ExplicitModifier': <OpType.ExplicitModifier: 19>, 'MultiBit': <OpType.MultiBit: 20>, 'ClassicalExpBox': <OpType.ClassicalExpBox: 103>, 'MultiplexorBox': <OpType.MultiplexorBox: 96>, 'MultiplexedRotationBox': <OpType.MultiplexedRotationBox: 97>, 'MultiplexedU2Box': <OpType.MultiplexedU2Box: 98>, 'MultiplexedTensoredU2Box': <OpType.MultiplexedTensoredU2Box: 99>, 'StatePreparationBox': <OpType.StatePreparationBox: 100>, 'DiagonalBox': <OpType.DiagonalBox: 101>}
+    __members__: typing.ClassVar[dict[str, OpType]]  # value = {'Phase': <OpType.Phase: 21>, 'Z': <OpType.Z: 22>, 'X': <OpType.X: 23>, 'Y': <OpType.Y: 24>, 'S': <OpType.S: 25>, 'Sdg': <OpType.Sdg: 26>, 'T': <OpType.T: 27>, 'Tdg': <OpType.Tdg: 28>, 'V': <OpType.V: 29>, 'Vdg': <OpType.Vdg: 30>, 'SX': <OpType.SX: 31>, 'SXdg': <OpType.SXdg: 32>, 'H': <OpType.H: 33>, 'Rx': <OpType.Rx: 34>, 'Ry': <OpType.Ry: 35>, 'Rz': <OpType.Rz: 36>, 'U1': <OpType.U1: 39>, 'U2': <OpType.U2: 38>, 'U3': <OpType.U3: 37>, 'TK1': <OpType.TK1: 40>, 'TK2': <OpType.TK2: 41>, 'CX': <OpType.CX: 42>, 'CY': <OpType.CY: 43>, 'CZ': <OpType.CZ: 44>, 'CH': <OpType.CH: 45>, 'CV': <OpType.CV: 46>, 'CVdg': <OpType.CVdg: 47>, 'CSX': <OpType.CSX: 48>, 'CSXdg': <OpType.CSXdg: 49>, 'CS': <OpType.CS: 50>, 'CSdg': <OpType.CSdg: 51>, 'CRz': <OpType.CRz: 52>, 'CRx': <OpType.CRx: 53>, 'CRy': <OpType.CRy: 54>, 'CU1': <OpType.CU1: 55>, 'CU3': <OpType.CU3: 56>, 'CCX': <OpType.CCX: 58>, 'ECR': <OpType.ECR: 66>, 'SWAP': <OpType.SWAP: 59>, 'CSWAP': <OpType.CSWAP: 60>, 'noop': <OpType.noop: 62>, 'Barrier': <OpType.Barrier: 8>, 'Label': <OpType.Label: 9>, 'Branch': <OpType.Branch: 10>, 'Goto': <OpType.Goto: 11>, 'Stop': <OpType.Stop: 12>, 'BRIDGE': <OpType.BRIDGE: 61>, 'Measure': <OpType.Measure: 63>, 'Reset': <OpType.Reset: 65>, 'CircBox': <OpType.CircBox: 84>, 'PhasePolyBox': <OpType.PhasePolyBox: 94>, 'Unitary1qBox': <OpType.Unitary1qBox: 85>, 'Unitary2qBox': <OpType.Unitary2qBox: 86>, 'Unitary3qBox': <OpType.Unitary3qBox: 87>, 'ExpBox': <OpType.ExpBox: 88>, 'PauliExpBox': <OpType.PauliExpBox: 89>, 'PauliExpPairBox': <OpType.PauliExpPairBox: 90>, 'PauliExpCommutingSetBox': <OpType.PauliExpCommutingSetBox: 91>, 'QControlBox': <OpType.QControlBox: 95>, 'ToffoliBox': <OpType.ToffoliBox: 107>, 'DummyBox': <OpType.DummyBox: 109>, 'CustomGate': <OpType.CustomGate: 93>, 'Conditional': <OpType.Conditional: 104>, 'ISWAP': <OpType.ISWAP: 67>, 'PhasedISWAP': <OpType.PhasedISWAP: 79>, 'XXPhase': <OpType.XXPhase: 71>, 'YYPhase': <OpType.YYPhase: 72>, 'ZZPhase': <OpType.ZZPhase: 73>, 'XXPhase3': <OpType.XXPhase3: 74>, 'PhasedX': <OpType.PhasedX: 68>, 'NPhasedX': <OpType.NPhasedX: 69>, 'CnRy': <OpType.CnRy: 80>, 'CnX': <OpType.CnX: 81>, 'CnY': <OpType.CnY: 83>, 'CnZ': <OpType.CnZ: 82>, 'ZZMax': <OpType.ZZMax: 70>, 'ESWAP': <OpType.ESWAP: 75>, 'FSim': <OpType.FSim: 76>, 'Sycamore': <OpType.Sycamore: 77>, 'ISWAPMax': <OpType.ISWAPMax: 78>, 'ClassicalTransform': <OpType.ClassicalTransform: 13>, 'WASM': <OpType.WASM: 14>, 'SetBits': <OpType.SetBits: 15>, 'CopyBits': <OpType.CopyBits: 16>, 'RangePredicate': <OpType.RangePredicate: 17>, 'ExplicitPredicate': <OpType.ExplicitPredicate: 18>, 'ExplicitModifier': <OpType.ExplicitModifier: 19>, 'MultiBit': <OpType.MultiBit: 20>, 'ClassicalExpBox': <OpType.ClassicalExpBox: 103>, 'MultiplexorBox': <OpType.MultiplexorBox: 96>, 'MultiplexedRotationBox': <OpType.MultiplexedRotationBox: 97>, 'MultiplexedU2Box': <OpType.MultiplexedU2Box: 98>, 'MultiplexedTensoredU2Box': <OpType.MultiplexedTensoredU2Box: 99>, 'StatePreparationBox': <OpType.StatePreparationBox: 100>, 'DiagonalBox': <OpType.DiagonalBox: 101>}
     noop: typing.ClassVar[OpType]  # value = <OpType.noop: 62>
     @staticmethod
     def from_name(arg0: str) -> OpType:
@@ -3401,6 +3511,60 @@ class RangePredicateOp(ClassicalEvalOp):
         """
         Inclusive upper bound.
         """
+class ResourceBounds:
+    """
+    Structure holding a minimum and maximum value of some resource, where both values are unsigned integers.
+    """
+    def __init__(self, min: int, max: int) -> None:
+        """
+        Constructs a ResourceBounds object.
+        
+        :param min: minimum value
+        :param max: maximum value
+        """
+    def get_max(self) -> int:
+        """
+        :return: the maximum value
+        """
+    def get_min(self) -> int:
+        """
+        :return: the minimum value
+        """
+class ResourceData:
+    """
+    An object holding resource data for use in a :py:class:`DummyBox`.
+    
+    The object holds several fields representing minimum and maximum values for certain resources. The absence of an :py:class:`OpType` in one of these fields is interpreted as the absence of gates of that type in the (imagined) circuit.
+    
+    See :py:meth:`Circuit.get_resources` for how to use this data.
+    """
+    def __init__(self, op_type_count: dict[OpType, ResourceBounds], gate_depth: ResourceBounds, op_type_depth: dict[OpType, ResourceBounds], two_qubit_gate_depth: ResourceBounds) -> None:
+        """
+        Constructs a ResourceData object.
+        
+        :param op_type_count: dictionary of counts of selected :py:class:`OpType`
+        :param gate_depth: overall gate depth
+        :param op_type_depth: dictionary of depths of selected :py:class:`OpType`
+        :param two_qubit_gate_depth: overall two-qubit-gate depth
+        """
+    def __repr__(self) -> str:
+        ...
+    def get_gate_depth(self) -> ResourceBounds:
+        """
+        :return: bounds on the gate depth
+        """
+    def get_op_type_count(self) -> dict[OpType, ResourceBounds]:
+        """
+        :return: bounds on the op type count
+        """
+    def get_op_type_depth(self) -> dict[OpType, ResourceBounds]:
+        """
+        :return: bounds on the op type depth
+        """
+    def get_two_qubit_gate_depth(self) -> ResourceBounds:
+        """
+        :return: bounds on the two-qubit-gate depth
+        """
 class SetBitsOp(ClassicalEvalOp):
     """
     An operation to set the values of Bits to some constants.
diff --git a/pytket/tests/circuit_test.py b/pytket/tests/circuit_test.py
index 9b0804c78f..243619aece 100644
--- a/pytket/tests/circuit_test.py
+++ b/pytket/tests/circuit_test.py
@@ -49,6 +49,9 @@
     BitRegister,
     QubitRegister,
     CXConfigType,
+    ResourceBounds,
+    ResourceData,
+    DummyBox,
 )
 from pytket.circuit.display import get_circuit_renderer, render_circuit_as_html
 from pytket.circuit.named_types import (
@@ -1257,6 +1260,99 @@ def test_phase_order() -> None:
         assert c == c1
 
 
+def test_dummy_box() -> None:
+    resource_data = ResourceData(
+        op_type_count={OpType.T: ResourceBounds(10, 20)},
+        gate_depth=ResourceBounds(5, 8),
+        op_type_depth={OpType.CZ: ResourceBounds(3, 6), OpType.T: ResourceBounds(4, 6)},
+        two_qubit_gate_depth=ResourceBounds(4, 5),
+    )
+    dbox = DummyBox(n_qubits=3, n_bits=1, resource_data=resource_data)
+    c = Circuit(4, 2)
+    c.add_dummybox(dbox, [0, 2, 3], [1])
+    cmds = c.get_commands()
+    assert len(cmds) == 1
+    op = cmds[0].op
+    assert type(op) is DummyBox
+    resource_data1 = op.get_resource_data()
+    op_type_count = resource_data1.get_op_type_count()
+    assert op_type_count[OpType.T].get_min() == 10
+    assert op_type_count[OpType.T].get_max() == 20
+    assert json_validate(c)
+
+
+def test_resources() -> None:
+    resource_data0 = ResourceData(
+        op_type_count={
+            OpType.T: ResourceBounds(1, 2),
+            OpType.H: ResourceBounds(0, 1),
+            OpType.CX: ResourceBounds(1, 2),
+            OpType.CZ: ResourceBounds(3, 3),
+        },
+        gate_depth=ResourceBounds(5, 8),
+        op_type_depth={
+            OpType.T: ResourceBounds(0, 10),
+            OpType.H: ResourceBounds(0, 10),
+            OpType.CX: ResourceBounds(1, 2),
+            OpType.CZ: ResourceBounds(3, 3),
+        },
+        two_qubit_gate_depth=ResourceBounds(4, 5),
+    )
+    dbox0 = DummyBox(n_qubits=2, n_bits=0, resource_data=resource_data0)
+    resource_data1 = ResourceData(
+        op_type_count={
+            OpType.T: ResourceBounds(2, 2),
+            OpType.H: ResourceBounds(1, 1),
+            OpType.CX: ResourceBounds(2, 3),
+            OpType.CZ: ResourceBounds(3, 5),
+        },
+        gate_depth=ResourceBounds(5, 10),
+        op_type_depth={
+            OpType.T: ResourceBounds(1, 2),
+            OpType.H: ResourceBounds(2, 4),
+            OpType.CX: ResourceBounds(1, 1),
+            OpType.CZ: ResourceBounds(3, 4),
+        },
+        two_qubit_gate_depth=ResourceBounds(3, 5),
+    )
+    dbox1 = DummyBox(n_qubits=3, n_bits=0, resource_data=resource_data1)
+    c = Circuit(3)
+    c.H(0)
+    c.CX(1, 2)
+    c.CX(0, 1)
+    c.T(2)
+    c.H(1)
+    c.add_dummybox(dbox0, [0, 1], [])
+    c.CZ(1, 2)
+    c.add_dummybox(dbox1, [0, 1, 2], [])
+    c.H(2)
+    resource_data = c.get_resources()
+    op_type_count = resource_data.get_op_type_count()
+    assert op_type_count[OpType.T].get_min() == 4
+    assert op_type_count[OpType.T].get_max() == 5
+    assert op_type_count[OpType.H].get_min() == 4
+    assert op_type_count[OpType.H].get_max() == 5
+    assert op_type_count[OpType.CX].get_min() == 5
+    assert op_type_count[OpType.CX].get_max() == 7
+    assert op_type_count[OpType.CZ].get_min() == 7
+    assert op_type_count[OpType.CZ].get_max() == 9
+    gate_depth = resource_data.get_gate_depth()
+    assert gate_depth.get_min() == 15
+    assert gate_depth.get_max() == 23
+    op_type_depth = resource_data.get_op_type_depth()
+    assert op_type_depth[OpType.T].get_min() == 2
+    assert op_type_depth[OpType.T].get_max() == 12
+    assert op_type_depth[OpType.H].get_min() == 5
+    assert op_type_depth[OpType.H].get_max() == 17
+    assert op_type_depth[OpType.CX].get_min() == 4
+    assert op_type_depth[OpType.CX].get_max() == 5
+    assert op_type_depth[OpType.CZ].get_min() == 7
+    assert op_type_depth[OpType.CZ].get_max() == 8
+    two_qubit_gate_depth = resource_data.get_two_qubit_gate_depth()
+    assert two_qubit_gate_depth.get_min() == 10
+    assert two_qubit_gate_depth.get_max() == 13
+
+
 if __name__ == "__main__":
     test_circuit_gen()
     test_symbolic_ops()
diff --git a/schemas/circuit_v1.json b/schemas/circuit_v1.json
index 9844e8f9bb..baca6161eb 100644
--- a/schemas/circuit_v1.json
+++ b/schemas/circuit_v1.json
@@ -644,6 +644,65 @@
             "Matching"
           ],
           "definition": "Strategies for synthesising \"ToffoliBoxes\""
+        },
+        "resource_bound": {
+          "type": "object",
+          "properties": {
+            "max": {
+              "type": "integer",
+              "minimum": 0
+            },
+            "min": {
+              "type": "integer",
+              "minimum": 0
+            }
+          },
+          "required": [
+            "max",
+            "min"
+          ],
+          "additionalProperties": false
+        },
+        "optype_resource_bound": {
+          "type": "array",
+          "items": [
+            {
+              "type": "string"
+            },
+            {
+              "$ref": "#/definitions/box/properties/resource_bound"
+            }
+          ]
+        },
+        "resource_data": {
+          "type": "object",
+          "properties": {
+            "gate_depth": {
+              "$ref": "#/definitions/box/properties/resource_bound"
+            },
+            "two_qubit_gate_depth": {
+              "$ref": "#/definitions/box/properties/resource_bound"
+            },
+            "op_type_count": {
+              "type": "array",
+              "items": {
+                "$ref": "#/definitions/box/properties/optype_resource_bound"
+              }
+            },
+            "op_type_depth": {
+              "type": "array",
+              "items": {
+                "$ref": "#/definitions/box/properties/optype_resource_bound"
+              }
+            }
+          },
+          "required": [
+            "gate_depth",
+            "two_qubit_gate_depth",
+            "op_type_count",
+            "op_type_depth"
+          ],
+          "additionalProperties": false
         }
       },
       "required": [
@@ -778,6 +837,23 @@
             "maxProperties": 5
           }
         },
+        {
+          "if": {
+            "properties": {
+              "type": {
+                "const": "DummyBox"
+              }
+            }
+          },
+          "then": {
+            "required": [
+              "n_qubits",
+              "n_bits",
+              "resource_data"
+            ],
+            "maxProperties": 5
+          }
+        },
         {
           "if": {
             "properties": {
diff --git a/tket/CMakeLists.txt b/tket/CMakeLists.txt
index 958ea72490..8b23409ac8 100644
--- a/tket/CMakeLists.txt
+++ b/tket/CMakeLists.txt
@@ -168,6 +168,8 @@ target_sources(tket
         src/Circuit/Circuit.cpp
         src/Circuit/CircuitJson.cpp
         src/Circuit/CommandJson.cpp
+        src/Circuit/ResourceData.cpp
+        src/Circuit/DummyBox.cpp
         src/Circuit/macro_manipulation.cpp
         src/Circuit/basic_circ_manip.cpp
         src/Circuit/latex_drawing.cpp
@@ -343,12 +345,14 @@ target_sources(tket
         include/tket/Circuit/Conditional.hpp
         include/tket/Circuit/DAGDefs.hpp
         include/tket/Circuit/DiagonalBox.hpp
+        include/tket/Circuit/DummyBox.hpp
         include/tket/Circuit/Multiplexor.hpp
         include/tket/Circuit/StatePreparation.hpp
         include/tket/Circuit/ThreeQubitConversion.hpp
         include/tket/Circuit/ToffoliBox.hpp
         include/tket/Circuit/PauliExpBoxes.hpp
         include/tket/Circuit/ConjugationBox.hpp
+        include/tket/Circuit/ResourceData.hpp
         include/tket/Circuit/Simulation/CircuitSimulator.hpp
         include/tket/Circuit/Simulation/PauliExpBoxUnitaryCalculator.hpp
         include/tket/Architecture/Architecture.hpp
diff --git a/tket/conanfile.py b/tket/conanfile.py
index 7cf1e667ab..9193b7cacb 100644
--- a/tket/conanfile.py
+++ b/tket/conanfile.py
@@ -23,7 +23,7 @@
 
 class TketConan(ConanFile):
     name = "tket"
-    version = "1.2.67"
+    version = "1.2.68"
     package_type = "library"
     license = "Apache 2"
     homepage = "https://github.com/CQCL/tket"
diff --git a/tket/include/tket/Circuit/Circuit.hpp b/tket/include/tket/Circuit/Circuit.hpp
index 7374e1a870..b5eeac9ff4 100644
--- a/tket/include/tket/Circuit/Circuit.hpp
+++ b/tket/include/tket/Circuit/Circuit.hpp
@@ -46,6 +46,7 @@
 #include "Command.hpp"
 #include "Conditional.hpp"
 #include "DAGDefs.hpp"
+#include "ResourceData.hpp"
 #include "tket/Gate/OpPtrFunctions.hpp"
 #include "tket/Utils/Constants.hpp"
 #include "tket/Utils/GraphHeaders.hpp"
@@ -1651,6 +1652,16 @@ class Circuit {
   std::vector<WasmState> wasmwire;
   std::size_t _number_of_wasm_wires = 0;
 
+  /**
+   * Calculate the overall resources of the circuit.
+   *
+   * This takes account of the data stored in each \ref DummyBox within the
+   * circuit, as well as other gates, to compute upper and lower bounds.
+   *
+   * @return bounds on resources of the circuit
+   */
+  ResourceData get_resources() /*const*/;
+
  private:
   std::optional<std::string>
       name;   /** optional string name descriptor for human identification*/
diff --git a/tket/include/tket/Circuit/DummyBox.hpp b/tket/include/tket/Circuit/DummyBox.hpp
new file mode 100644
index 0000000000..c43b520a06
--- /dev/null
+++ b/tket/include/tket/Circuit/DummyBox.hpp
@@ -0,0 +1,91 @@
+// Copyright 2019-2023 Cambridge Quantum Computing
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#pragma once
+
+#include "Boxes.hpp"
+#include "ResourceData.hpp"
+#include "tket/Utils/Json.hpp"
+
+namespace tket {
+
+/**
+ * Exception indicating that dummy boxes cannot be decomposed.
+ */
+class DummyBoxNotDecomposable : public std::logic_error {
+ public:
+  DummyBoxNotDecomposable()
+      : std::logic_error("Cannot generate circuit from DummyBox") {}
+};
+
+/**
+ * @brief A placeholder operation that holds resource data.
+ *
+ * This box type cannot be decomposed into a circuit. It only serves to record
+ * resource data for a region of a circuit: for example, upper and lower bounds
+ * on gate counts and depth. A circuit containing such a box cannot be executed.
+ */
+class DummyBox : public Box {
+ public:
+  /**
+   * @brief Construct a new instance from some resource data.
+   *
+   * @param n_qubits number of qubits
+   * @param n_bits number of bits
+   * @param resource_data_ resource data
+   */
+  DummyBox(
+      unsigned n_qubits, unsigned n_bits, const ResourceData &resource_data_);
+
+  /**
+   * Copy constructor
+   */
+  DummyBox(const DummyBox &other);
+
+  Op_ptr symbol_substitution(
+      const SymEngine::map_basic_basic &) const override {
+    return std::make_shared<DummyBox>(*this);
+  }
+
+  SymSet free_symbols() const override { return {}; }
+
+  bool is_equal(const Op &op_other) const override;
+
+  unsigned get_n_qubits() const;
+  unsigned get_n_bits() const;
+  ResourceData get_resource_data() const;
+
+  op_signature_t get_signature() const override;
+
+  static Op_ptr from_json(const nlohmann::json &j);
+
+  static nlohmann::json to_json(const Op_ptr &op);
+
+ protected:
+  /**
+   * @brief Throw an exception.
+   *
+   * This box does not correspond to any actual circuit.
+   *
+   * @throws DummyBoxNotDecomposable
+   */
+  void generate_circuit() const override;
+
+ private:
+  const unsigned n_qubits;
+  const unsigned n_bits;
+  const ResourceData resource_data;
+};
+
+}  // namespace tket
diff --git a/tket/include/tket/Circuit/ResourceData.hpp b/tket/include/tket/Circuit/ResourceData.hpp
new file mode 100644
index 0000000000..8e23dc0d50
--- /dev/null
+++ b/tket/include/tket/Circuit/ResourceData.hpp
@@ -0,0 +1,60 @@
+// Copyright 2019-2023 Cambridge Quantum Computing
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#pragma once
+
+#include <concepts>
+#include <map>
+
+#include "tket/OpType/OpType.hpp"
+
+namespace tket {
+
+template <typename T>
+concept arithmetic = std::integral<T> or std::floating_point<T>;
+
+template <arithmetic T>
+struct ResourceBounds {
+  T min;
+  T max;
+  bool operator==(const ResourceBounds<T>& other) const {
+    return min == other.min && max == other.max;
+  }
+  ResourceBounds() : min(0), max(0) {}
+  ResourceBounds(T val) : min(val), max(val) {}
+  ResourceBounds(T minval, T maxval) : min(minval), max(maxval) {}
+};
+
+struct ResourceData {
+  std::map<OpType, ResourceBounds<unsigned>> OpTypeCount;
+  ResourceBounds<unsigned> GateDepth;
+  std::map<OpType, ResourceBounds<unsigned>> OpTypeDepth;
+  ResourceBounds<unsigned> TwoQubitGateDepth;
+  bool operator==(const ResourceData& other) const;
+};
+
+template <arithmetic T>
+void to_json(nlohmann::json& j, const ResourceBounds<T>& bounds) {
+  j["min"] = bounds.min;
+  j["max"] = bounds.max;
+}
+template <arithmetic T>
+void from_json(const nlohmann::json& j, ResourceBounds<T>& bounds) {
+  bounds.min = j.at("min").get<T>();
+  bounds.max = j.at("max").get<T>();
+}
+
+JSON_DECL(ResourceData)
+
+}  // namespace tket
diff --git a/tket/include/tket/OpType/OpType.hpp b/tket/include/tket/OpType/OpType.hpp
index 833aacd31d..a3ba10d342 100644
--- a/tket/include/tket/OpType/OpType.hpp
+++ b/tket/include/tket/OpType/OpType.hpp
@@ -719,7 +719,12 @@ enum class OpType {
   /**
    * See \ref UnitaryTableauBox
    */
-  UnitaryTableauBox
+  UnitaryTableauBox,
+
+  /**
+   * See \ref DummyBox
+   */
+  DummyBox
 };
 
 JSON_DECL(OpType)
diff --git a/tket/include/tket/OpType/OpTypeFunctions.hpp b/tket/include/tket/OpType/OpTypeFunctions.hpp
index 1556ba2dbc..6027b5ec72 100644
--- a/tket/include/tket/OpType/OpTypeFunctions.hpp
+++ b/tket/include/tket/OpType/OpTypeFunctions.hpp
@@ -60,6 +60,12 @@ bool is_initial_q_type(OpType optype);
 /** Test for output or discard quantum "ops" */
 bool is_final_q_type(OpType optype);
 
+/** Test for input "ops" */
+bool is_initial_type(OpType optype);
+
+/** Test for output "ops" */
+bool is_final_type(OpType optype);
+
 /** Test for input, creation, output or discard "ops" */
 bool is_boundary_type(OpType optype);
 
diff --git a/tket/src/Circuit/Circuit.cpp b/tket/src/Circuit/Circuit.cpp
index e5e2615746..87cbdcb174 100644
--- a/tket/src/Circuit/Circuit.cpp
+++ b/tket/src/Circuit/Circuit.cpp
@@ -14,14 +14,22 @@
 
 #include "tket/Circuit/Circuit.hpp"
 
+#include <algorithm>
 #include <fstream>
 #include <numeric>
 #include <optional>
 #include <set>
 #include <string>
+#include <tkassert/Assert.hpp>
 #include <tklog/TketLog.hpp>
 #include <utility>
 
+#include "tket/Circuit/DAGDefs.hpp"
+#include "tket/Circuit/DummyBox.hpp"
+#include "tket/Circuit/ResourceData.hpp"
+#include "tket/OpType/OpDesc.hpp"
+#include "tket/OpType/OpType.hpp"
+#include "tket/OpType/OpTypeFunctions.hpp"
 #include "tket/Utils/Expression.hpp"
 #include "tket/Utils/GraphHeaders.hpp"
 #include "tket/Utils/HelperFunctions.hpp"
@@ -36,17 +44,17 @@ namespace tket {
 // information apart from qubit path and slices can be seen easily.
 // Very useful for debugging and eyeball comparison of circuits.
 // out << "\nrankdir=\"LR\"" <--- put this in for Left-Right circuit
-void Circuit::to_graphviz(std::ostream &out) const {
+void Circuit::to_graphviz(std::ostream& out) const {
   IndexMap im = index_map();
 
   out << "digraph G {\n";
   out << "{ rank = same\n";
-  for (const Vertex &v : all_inputs()) {
+  for (const Vertex& v : all_inputs()) {
     out << im[v] << " ";
   }
   out << "}\n";
   out << "{ rank = same\n";
-  for (const Vertex &v : all_outputs()) {
+  for (const Vertex& v : all_outputs()) {
     out << im[v] << " ";
   }
   out << "}\n";
@@ -66,7 +74,7 @@ void Circuit::to_graphviz(std::ostream &out) const {
   out << "}";
 }
 
-void Circuit::to_graphviz_file(const std::string &filename) const {
+void Circuit::to_graphviz_file(const std::string& filename) const {
   std::ofstream dot_file(filename);
   to_graphviz(dot_file);
 }
@@ -140,9 +148,9 @@ Expr Circuit::get_phase() const {
 
 void Circuit::add_phase(Expr a) { phase += a; }
 
-void Circuit::symbol_substitution(const symbol_map_t &symbol_map) {
+void Circuit::symbol_substitution(const symbol_map_t& symbol_map) {
   SymEngine::map_basic_basic sub_map;
-  for (const std::pair<const Sym, Expr> &p : symbol_map) {
+  for (const std::pair<const Sym, Expr>& p : symbol_map) {
     ExprPtr s = p.first;
     ExprPtr e = p.second;
     // This is a workaround for a symengine issue: symengine currently has poor
@@ -158,7 +166,7 @@ void Circuit::symbol_substitution(const symbol_map_t &symbol_map) {
 }
 
 void Circuit::symbol_substitution(
-    const std::map<Sym, double, SymEngine::RCPBasicKeyLess> &symbol_map) {
+    const std::map<Sym, double, SymEngine::RCPBasicKeyLess>& symbol_map) {
   symbol_map_t s_map;
   for (std::pair<Sym, Expr> p : symbol_map) {
     s_map[p.first] = Expr(p.second);
@@ -192,7 +200,7 @@ bool Circuit::is_symbolic() const { return !free_symbols().empty(); }
 // check aspects of circuit for equality, and optionally throw exceptions when
 // not met
 bool Circuit::circuit_equality(
-    const Circuit &other, const std::set<Check> &except,
+    const Circuit& other, const std::set<Check>& except,
     bool throw_error) const {
   bool check = true;
   check &= check_iterators_equality(*this, other);
@@ -265,9 +273,9 @@ bool Circuit::circuit_equality(
 // depth)
 // TODO:: rewrite to work with classical boxes
 bool Circuit::in_causal_order(
-    const Vertex &target, const Vertex &from, bool forward,
-    const std::map<Vertex, unsigned> &v_to_depth,
-    const std::map<Vertex, unit_set_t> &v_to_units, bool strict) const {
+    const Vertex& target, const Vertex& from, bool forward,
+    const std::map<Vertex, unsigned>& v_to_depth,
+    const std::map<Vertex, unit_set_t>& v_to_units, bool strict) const {
   unsigned target_depth = v_to_depth.at(target);
   if (!strict && from == target) return true;
   if (v_to_depth.at(from) >= target_depth) return false;
@@ -285,7 +293,7 @@ bool Circuit::in_causal_order(
   std::set<Vertex, Comp> to_search(c);
   if (forward) {
     VertexVec succs = get_successors(from);
-    for (const Vertex &s : succs) {
+    for (const Vertex& s : succs) {
       if (v_to_depth.find(s) != v_to_depth.end()) {
         to_search.insert(s);
       }
@@ -300,14 +308,14 @@ bool Circuit::in_causal_order(
     to_search.erase(to_search.begin());
     if (v_to_depth.at(v) > target_depth) continue;
     unit_set_t v_units = v_to_units.at(v);
-    for (const UnitID &u : lookup_units) {
+    for (const UnitID& u : lookup_units) {
       if (v_units.find(u) != v_units.end()) {
         return true;
       }
     }
     if (forward) {
       VertexVec succs = get_successors(v);
-      for (const Vertex &s : succs) {
+      for (const Vertex& s : succs) {
         if (v_to_depth.find(s) != v_to_depth.end()) {
           to_search.insert(s);
         }
@@ -320,4 +328,105 @@ bool Circuit::in_causal_order(
   return false;
 }
 
+// Update depth fields of `data` for a vertex with data for the vertex's
+// predecessors `preds`, which is assumed to be already stored in `datamap`.
+static void update_from_predecessors(
+    ResourceData& data, const VertexVec& preds,
+    const std::map<Vertex, ResourceData>& datamap) {
+  std::vector<ResourceData> pre_data;
+  for (const Vertex& pre_v : preds) {
+    pre_data.push_back(datamap.at(pre_v));
+  }
+  // 1. GateDepth
+  data.GateDepth.min += std::max_element(
+                            pre_data.begin(), pre_data.end(),
+                            [](const ResourceData& a, const ResourceData& b) {
+                              return a.GateDepth.min < b.GateDepth.min;
+                            })
+                            ->GateDepth.min;
+  data.GateDepth.max += std::max_element(
+                            pre_data.begin(), pre_data.end(),
+                            [](const ResourceData& a, const ResourceData& b) {
+                              return a.GateDepth.max < b.GateDepth.max;
+                            })
+                            ->GateDepth.max;
+  // 2. OpTypeDepth
+  std::map<OpType, unsigned> min_depths;
+  std::map<OpType, unsigned> max_depths;
+  for (const ResourceData& pre_v_data : pre_data) {
+    for (const auto& pair : pre_v_data.OpTypeDepth) {
+      if (pair.second.min > min_depths[pair.first]) {
+        min_depths[pair.first] = pair.second.min;
+      }
+      if (pair.second.max > max_depths[pair.first]) {
+        max_depths[pair.first] = pair.second.max;
+      }
+    }
+  }
+  for (const auto& pair : min_depths) {
+    data.OpTypeDepth[pair.first].min += min_depths[pair.first];
+  }
+  for (const auto& pair : max_depths) {
+    data.OpTypeDepth[pair.first].max += max_depths[pair.first];
+  }
+  // 3. TwoQubitGateDepth
+  data.TwoQubitGateDepth.min +=
+      std::max_element(
+          pre_data.begin(), pre_data.end(),
+          [](const ResourceData& a, const ResourceData& b) {
+            return a.TwoQubitGateDepth.min < b.TwoQubitGateDepth.min;
+          })
+          ->TwoQubitGateDepth.min;
+  data.TwoQubitGateDepth.max +=
+      std::max_element(
+          pre_data.begin(), pre_data.end(),
+          [](const ResourceData& a, const ResourceData& b) {
+            return a.TwoQubitGateDepth.max < b.TwoQubitGateDepth.max;
+          })
+          ->TwoQubitGateDepth.max;
+}
+
+ResourceData Circuit::get_resources() /*const*/ {
+  // Traverse the DAG in topological order. At each vertex compute a new
+  // ResourceData based on the ResourceData already computed for its immediate
+  // predecessors. Compute final ResourceData based on terminal nodes.
+  const VertexVec vertices = vertices_in_order();
+  std::map<Vertex, ResourceData> datamap;
+  std::map<OpType, ResourceBounds<unsigned>> op_type_count;
+  for (const Vertex& v : vertices) {
+    ResourceData data;
+    OpType optype = get_OpType_from_Vertex(v);
+    if (!is_initial_type(optype)) {
+      if (!is_final_type(optype)) {
+        if (optype == OpType::DummyBox) {
+          const DummyBox& dbox =
+              static_cast<const DummyBox&>(*get_Op_ptr_from_Vertex(v));
+          data = dbox.get_resource_data();
+          for (const auto& pair : data.OpTypeCount) {
+            op_type_count[pair.first].min += pair.second.min;
+            op_type_count[pair.first].max += pair.second.max;
+          }
+        } else {
+          data.GateDepth = {1};
+          data.OpTypeDepth[optype] = {1};
+          if (OpDesc(optype).is_gate() &&
+              get_Op_ptr_from_Vertex(v)->n_qubits() == 2) {
+            data.TwoQubitGateDepth = {1};
+          }
+          op_type_count[optype].min += 1;
+          op_type_count[optype].max += 1;
+        }
+      }
+      // Aggregate with predecessors
+      update_from_predecessors(data, get_predecessors(v), datamap);
+    }
+    datamap[v] = data;
+  }
+  // Finally aggregate outputs
+  ResourceData final_data;
+  update_from_predecessors(final_data, all_outputs(), datamap);
+  final_data.OpTypeCount = op_type_count;
+  return final_data;
+}
+
 }  // namespace tket
diff --git a/tket/src/Circuit/DummyBox.cpp b/tket/src/Circuit/DummyBox.cpp
new file mode 100644
index 0000000000..3b9c4f1a3c
--- /dev/null
+++ b/tket/src/Circuit/DummyBox.cpp
@@ -0,0 +1,76 @@
+// Copyright 2019-2023 Cambridge Quantum Computing
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "tket/Circuit/DummyBox.hpp"
+
+#include <boost/lexical_cast.hpp>
+
+#include "Circuit/ResourceData.hpp"
+#include "tket/Ops/OpJsonFactory.hpp"
+
+namespace tket {
+
+DummyBox::DummyBox(
+    unsigned n_qubits_, unsigned n_bits_, const ResourceData &resource_data_)
+    : Box(OpType::DummyBox),
+      n_qubits(n_qubits_),
+      n_bits(n_bits_),
+      resource_data(resource_data_) {}
+
+DummyBox::DummyBox(const DummyBox &other)
+    : Box(other),
+      n_qubits(other.n_qubits),
+      n_bits(other.n_bits),
+      resource_data(other.resource_data) {}
+
+bool DummyBox::is_equal(const Op &op_other) const {
+  const DummyBox &other = dynamic_cast<const DummyBox &>(op_other);
+  if (id_ == other.get_id()) return true;
+  return resource_data == other.resource_data;
+}
+
+unsigned DummyBox::get_n_qubits() const { return n_qubits; }
+unsigned DummyBox::get_n_bits() const { return n_bits; }
+ResourceData DummyBox::get_resource_data() const { return resource_data; }
+
+op_signature_t DummyBox::get_signature() const {
+  op_signature_t sig(n_qubits, EdgeType::Quantum);
+  op_signature_t bits(n_bits, EdgeType::Classical);
+  sig.insert(sig.end(), bits.begin(), bits.end());
+  return sig;
+}
+
+nlohmann::json DummyBox::to_json(const Op_ptr &op) {
+  const auto &box = static_cast<const DummyBox &>(*op);
+  nlohmann::json j = core_box_json(box);
+  j["n_qubits"] = box.get_n_qubits();
+  j["n_bits"] = box.get_n_bits();
+  j["resource_data"] = box.get_resource_data();
+  return j;
+}
+
+Op_ptr DummyBox::from_json(const nlohmann::json &j) {
+  DummyBox box = DummyBox(
+      j.at("n_qubits").get<unsigned>(), j.at("n_bits").get<unsigned>(),
+      j.at("resource_data").get<ResourceData>());
+  return set_box_id(
+      box,
+      boost::lexical_cast<boost::uuids::uuid>(j.at("id").get<std::string>()));
+}
+
+REGISTER_OPFACTORY(DummyBox, DummyBox)
+
+void DummyBox::generate_circuit() const { throw DummyBoxNotDecomposable(); }
+
+}  // namespace tket
diff --git a/tket/src/Circuit/ResourceData.cpp b/tket/src/Circuit/ResourceData.cpp
new file mode 100644
index 0000000000..f8e577dfa5
--- /dev/null
+++ b/tket/src/Circuit/ResourceData.cpp
@@ -0,0 +1,44 @@
+// Copyright 2019-2023 Cambridge Quantum Computing
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "tket/Circuit/ResourceData.hpp"
+
+#include "tket/Utils/Json.hpp"
+
+namespace tket {
+
+bool ResourceData::operator==(const ResourceData& other) const {
+  return OpTypeCount == other.OpTypeCount && GateDepth == other.GateDepth &&
+         OpTypeDepth == other.OpTypeDepth &&
+         TwoQubitGateDepth == other.TwoQubitGateDepth;
+}
+
+void to_json(nlohmann::json& j, const ResourceData& data) {
+  j["op_type_count"] = data.OpTypeCount;
+  j["gate_depth"] = data.GateDepth;
+  j["op_type_depth"] = data.OpTypeDepth;
+  j["two_qubit_gate_depth"] = data.TwoQubitGateDepth;
+}
+
+void from_json(const nlohmann::json& j, ResourceData& data) {
+  data.OpTypeCount =
+      j.at("op_type_count").get<std::map<OpType, ResourceBounds<unsigned>>>();
+  data.GateDepth = j.at("gate_depth").get<ResourceBounds<unsigned>>();
+  data.OpTypeDepth =
+      j.at("op_type_depth").get<std::map<OpType, ResourceBounds<unsigned>>>();
+  data.TwoQubitGateDepth =
+      j.at("two_qubit_gate_depth").get<ResourceBounds<unsigned>>();
+}
+
+}  // namespace tket
diff --git a/tket/src/Circuit/setters_and_getters.cpp b/tket/src/Circuit/setters_and_getters.cpp
index 09141a5adb..0c4e9c3be7 100644
--- a/tket/src/Circuit/setters_and_getters.cpp
+++ b/tket/src/Circuit/setters_and_getters.cpp
@@ -72,7 +72,9 @@ void Circuit::assert_valid() const {  //
 VertexVec Circuit::all_inputs() const {
   VertexVec ins = q_inputs();
   VertexVec c_ins = c_inputs();
+  VertexVec w_ins = w_inputs();
   ins.insert(ins.end(), c_ins.begin(), c_ins.end());
+  ins.insert(ins.end(), w_ins.begin(), w_ins.end());
   return ins;
 }
 
@@ -107,7 +109,9 @@ VertexVec Circuit::w_inputs() const {
 VertexVec Circuit::all_outputs() const {
   VertexVec outs = q_outputs();
   VertexVec c_outs = c_outputs();
+  VertexVec w_outs = w_outputs();
   outs.insert(outs.end(), c_outs.begin(), c_outs.end());
+  outs.insert(outs.end(), w_outs.begin(), w_outs.end());
   return outs;
 }
 
diff --git a/tket/src/OpType/OpTypeFunctions.cpp b/tket/src/OpType/OpTypeFunctions.cpp
index 698b3768f8..c4cb701778 100644
--- a/tket/src/OpType/OpTypeFunctions.cpp
+++ b/tket/src/OpType/OpTypeFunctions.cpp
@@ -142,6 +142,16 @@ bool is_final_q_type(OpType optype) {
   return optype == OpType::Output || optype == OpType::Discard;
 }
 
+bool is_initial_type(OpType optype) {
+  return optype == OpType::Input || optype == OpType::Create ||
+         optype == OpType::ClInput || optype == OpType::WASMInput;
+}
+
+bool is_final_type(OpType optype) {
+  return optype == OpType::Output || optype == OpType::Discard ||
+         optype == OpType::ClOutput || optype == OpType::WASMOutput;
+}
+
 bool is_boundary_type(OpType optype) {
   return is_boundary_q_type(optype) || is_boundary_c_type(optype) ||
          is_boundary_w_type(optype);
@@ -188,7 +198,8 @@ bool is_box_type(OpType optype) {
       OpType::ProjectorAssertionBox,
       OpType::StabiliserAssertionBox,
       OpType::UnitaryTableauBox,
-      OpType::ToffoliBox};
+      OpType::ToffoliBox,
+      OpType::DummyBox};
   return find_in_set(optype, boxes);
 }
 
diff --git a/tket/src/OpType/OpTypeInfo.cpp b/tket/src/OpType/OpTypeInfo.cpp
index 5227e22937..8a73aa8c38 100644
--- a/tket/src/OpType/OpTypeInfo.cpp
+++ b/tket/src/OpType/OpTypeInfo.cpp
@@ -157,6 +157,7 @@ const std::map<OpType, OpTypeInfo>& optypeinfo() {
       {OpType::StabiliserAssertionBox,
        {"StabiliserAssertionBox", "StabiliserAssertionBox", {}, std::nullopt}},
       {OpType::ToffoliBox, {"ToffoliBox", "ToffoliBox", {}, std::nullopt}},
+      {OpType::DummyBox, {"DummyBox", "DummyBox", {}, std::nullopt}},
       {OpType::ClassicalTransform,
        {"ClassicalTransform", "ClassicalTransform", {}, std::nullopt}},
       {OpType::WASM, {"WASM", "WASM", {}, std::nullopt}},
diff --git a/tket/test/CMakeLists.txt b/tket/test/CMakeLists.txt
index 1074497da3..d5ff0bfee7 100644
--- a/tket/test/CMakeLists.txt
+++ b/tket/test/CMakeLists.txt
@@ -119,6 +119,7 @@ add_executable(test-tket
     src/Circuit/test_DiagonalBox.cpp
     src/Circuit/test_ToffoliBox.cpp
     src/Circuit/test_ConjugationBox.cpp
+    src/Circuit/test_DummyBox.cpp
     src/test_UnitaryTableau.cpp
     src/test_ChoiMixTableau.cpp
     src/test_Diagonalisation.cpp
diff --git a/tket/test/src/Circuit/test_DummyBox.cpp b/tket/test/src/Circuit/test_DummyBox.cpp
new file mode 100644
index 0000000000..2763680853
--- /dev/null
+++ b/tket/test/src/Circuit/test_DummyBox.cpp
@@ -0,0 +1,55 @@
+// Copyright 2019-2023 Cambridge Quantum Computing
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include <catch2/catch_test_macros.hpp>
+
+#include "tket/Circuit/Circuit.hpp"
+#include "tket/Circuit/DummyBox.hpp"
+#include "tket/Circuit/ResourceData.hpp"
+namespace tket {
+
+SCENARIO("DummyBox") {
+  GIVEN("ResourceData") {
+    DummyBox dbox0(
+        1, 0,
+        ResourceData{
+            {{OpType::H, ResourceBounds<unsigned>(3, 4)}},
+            ResourceBounds<unsigned>(2, 3),
+            {{OpType::H, ResourceBounds<unsigned>(3)}},
+            ResourceBounds<unsigned>()});
+    DummyBox dbox1(
+        2, 0,
+        ResourceData{
+            {{OpType::H, ResourceBounds<unsigned>(3, 4)},
+             {OpType::CX, ResourceBounds<unsigned>(2, 8)}},
+            ResourceBounds<unsigned>(2, 3),
+            {{OpType::CX, ResourceBounds<unsigned>(2, 8)}},
+            ResourceBounds<unsigned>(4, 8)});
+    Circuit c(2);
+    c.add_op<unsigned>(OpType::CX, {0, 1});
+    c.add_box(dbox0, {0});
+    c.add_box(dbox1, {0, 1});
+    ResourceData data = c.get_resources();
+    ResourceData expected{
+        {{OpType::H, ResourceBounds<unsigned>(6, 8)},
+         {OpType::CX, ResourceBounds<unsigned>(3, 9)}},
+        ResourceBounds<unsigned>(5, 7),
+        {{OpType::H, ResourceBounds<unsigned>(3)},
+         {OpType::CX, ResourceBounds<unsigned>(3, 9)}},
+        ResourceBounds<unsigned>(5, 9)};
+    CHECK(data == expected);
+  }
+}
+
+}  // namespace tket
diff --git a/tket/test/src/test_json.cpp b/tket/test/src/test_json.cpp
index 13849fcca9..91d576aaac 100644
--- a/tket/test/src/test_json.cpp
+++ b/tket/test/src/test_json.cpp
@@ -25,6 +25,7 @@
 #include "tket/Circuit/Command.hpp"
 #include "tket/Circuit/ConjugationBox.hpp"
 #include "tket/Circuit/DiagonalBox.hpp"
+#include "tket/Circuit/DummyBox.hpp"
 #include "tket/Circuit/Multiplexor.hpp"
 #include "tket/Circuit/PauliExpBoxes.hpp"
 #include "tket/Circuit/Simulation/CircuitSimulator.hpp"
@@ -400,6 +401,23 @@ SCENARIO("Test Circuit serialization") {
     REQUIRE(t_b == tbox);
   }
 
+  GIVEN("DummyBox") {
+    ResourceData data{
+        {{OpType::H, ResourceBounds<unsigned>(3, 4)},
+         {OpType::CX, ResourceBounds<unsigned>(2, 8)}},
+        ResourceBounds<unsigned>(2, 3),
+        {{OpType::CX, ResourceBounds<unsigned>(2, 8)}},
+        ResourceBounds<unsigned>(4, 8)};
+    DummyBox dbox(2, 0, data);
+    Circuit c(2);
+    c.add_box(dbox, {0, 1});
+    nlohmann::json j_c = c;
+    Circuit c1 = j_c.get<Circuit>();
+    const auto& dbox1 =
+        static_cast<const DummyBox&>(*c1.get_commands()[0].get_op_ptr());
+    REQUIRE(dbox == dbox1);
+  }
+
   GIVEN("CustomGate") {
     Circuit setup(2);
     Sym a = SymTable::fresh_symbol("a");

From 7aed23d181ee1d1fabb687563781c9f5c5415443 Mon Sep 17 00:00:00 2001
From: Alec Edgington <alec.edgington@quantinuum.com>
Date: Thu, 16 Nov 2023 10:10:29 +0000
Subject: [PATCH 30/36] Update docs and changelog.

---
 pytket/docs/changelog.rst | 4 ++--
 pytket/docs/conf.py       | 4 ++--
 2 files changed, 4 insertions(+), 4 deletions(-)

diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index e38e7c3d31..df505e864c 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -1,8 +1,8 @@
 Changelog
 =========
 
-Unreleased
-----------
+1.22.0 (November 2023)
+----------------------
 
 Minor new features:
 
diff --git a/pytket/docs/conf.py b/pytket/docs/conf.py
index 78ca420bae..5dbbd9b684 100644
--- a/pytket/docs/conf.py
+++ b/pytket/docs/conf.py
@@ -38,9 +38,9 @@
 author = "Quantinuum"
 
 # The short X.Y version
-version = "1.21"
+version = "1.22"
 # The full version, including alpha/beta/rc tags
-release = "1.21.0"
+release = "1.22.0"
 
 
 # -- General configuration ---------------------------------------------------

From 627e55e66b599a2e247e1d8b14e468ee243980b3 Mon Sep 17 00:00:00 2001
From: Alec Edgington <alec.edgington@quantinuum.com>
Date: Thu, 16 Nov 2023 11:06:03 +0000
Subject: [PATCH 31/36] Add link to full changelog.

---
 pytket/docs/changelog.rst | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index df505e864c..364f7d97a2 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -21,6 +21,8 @@ Fixes:
   length 2.
 * Fix incorrect controlled ``ConjugationBox`` handling.
 
+`Full changelog <https://github.com/CQCL/tket/releases/tag/v1.22.0>`_
+
 1.21.0 (October 2023)
 ---------------------
 

From dfec5a73c6fd22a3ec351190196e57914cd34c3f Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Thu, 16 Nov 2023 13:33:52 +0000
Subject: [PATCH 32/36] [infra] Drop support for MacOS 11 (#1130)

---
 .github/workflows/release.yml | 14 +++++++-------
 conan-profiles/macos-11       |  8 --------
 pytket/docs/changelog.rst     |  4 ++++
 3 files changed, 11 insertions(+), 15 deletions(-)
 delete mode 100644 conan-profiles/macos-11

diff --git a/.github/workflows/release.yml b/.github/workflows/release.yml
index bf0b7b8b44..ef92819e26 100644
--- a/.github/workflows/release.yml
+++ b/.github/workflows/release.yml
@@ -73,7 +73,7 @@ jobs:
 
   build_macos_wheels:
     name: Build macos wheels
-    runs-on: macos-11
+    runs-on: macos-12
     strategy:
       matrix:
         python-version: ['3.9', '3.10', '3.11']
@@ -92,7 +92,7 @@ jobs:
       run: |
         conan profile detect
         DEFAULT_PROFILE_PATH=`conan profile path default`
-        PROFILE_PATH=./conan-profiles/macos-11
+        PROFILE_PATH=./conan-profiles/macos-12
         diff ${DEFAULT_PROFILE_PATH} ${PROFILE_PATH} || true
         cp ${PROFILE_PATH} ${DEFAULT_PROFILE_PATH}
         conan remote add tket-libs https://quantinuumsw.jfrog.io/artifactory/api/conan/tket1-libs --index 0
@@ -103,8 +103,8 @@ jobs:
         conan create recipes/pybind11
         conan create recipes/pybind11_json/all --version 0.2.13
         cd pytket
-        # Ensure wheels are compatible with MacOS 10.14 and later:
-        export WHEEL_PLAT_NAME=macosx_10_14_x86_64
+        # Ensure wheels are compatible with MacOS 12.0 and later:
+        export WHEEL_PLAT_NAME=macosx_12_0_x86_64
         pip install -U pip build delocate
         python -m build
         delocate-wheel -v -w "$GITHUB_WORKSPACE/wheelhouse/" "dist/pytket-"*".whl"
@@ -149,8 +149,8 @@ jobs:
         conan create recipes/pybind11
         conan create recipes/pybind11_json/all --version 0.2.13
         cd pytket
-        # Ensure wheels are compatible with MacOS 11.0 and later:
-        export WHEEL_PLAT_NAME=macosx_11_0_arm64
+        # Ensure wheels are compatible with MacOS 12.0 and later:
+        export WHEEL_PLAT_NAME=macosx_12_0_arm64
         python${{ matrix.python-version }} -m pip install -U pip build delocate
         python${{ matrix.python-version }} -m build
         delocate-wheel -v -w "$GITHUB_WORKSPACE/wheelhouse/" "dist/pytket-"*".whl"
@@ -268,7 +268,7 @@ jobs:
     needs: build_macos_wheels
     strategy:
       matrix:
-        os: ['macos-11', 'macos-12']
+        os: ['macos-12', 'macos-13']
         python-version: ['3.9', '3.10', '3.11']
     runs-on: ${{ matrix.os }}
     steps:
diff --git a/conan-profiles/macos-11 b/conan-profiles/macos-11
deleted file mode 100644
index a275dacb59..0000000000
--- a/conan-profiles/macos-11
+++ /dev/null
@@ -1,8 +0,0 @@
-[settings]
-arch=x86_64
-build_type=Release
-compiler=apple-clang
-compiler.cppstd=gnu17
-compiler.libcxx=libc++
-compiler.version=13
-os=Macos
diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index 364f7d97a2..cc81a3dc73 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -21,6 +21,10 @@ Fixes:
   length 2.
 * Fix incorrect controlled ``ConjugationBox`` handling.
 
+General:
+
+* Drop support for MacOS 11.
+
 `Full changelog <https://github.com/CQCL/tket/releases/tag/v1.22.0>`_
 
 1.21.0 (October 2023)

From 62b50eba937ce654b687f1687aabe22c41218a6b Mon Sep 17 00:00:00 2001
From: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
Date: Tue, 21 Nov 2023 12:49:46 +0000
Subject: [PATCH 33/36] [infra] Pin to pybind11-stubgen 2.3.6. (#1136)

---
 .github/workflows/build_and_test.yml | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/.github/workflows/build_and_test.yml b/.github/workflows/build_and_test.yml
index 323c26c818..3cadc33dd5 100644
--- a/.github/workflows/build_and_test.yml
+++ b/.github/workflows/build_and_test.yml
@@ -396,7 +396,7 @@ jobs:
       if: matrix.os == 'macos-13-xlarge' && (github.event_name == 'pull_request' || github.event_name == 'workflow_dispatch')
       run: |
         python${{ matrix.python-version }} -m pip install -U mypy
-        python${{ matrix.python-version }} -m pip install -U pybind11-stubgen
+        python${{ matrix.python-version }} -m pip install pybind11-stubgen==2.3.6 # https://github.com/CQCL/tket/issues/1135
         cd pytket
         ./stub_generation/regenerate_stubs
         git diff --quiet pytket/_tket && echo "Stubs are up-to-date" || exit 1  # fail if stubs change after regeneration

From 875b79d2c9a4c097a008a235dd46ab66586c0a6f Mon Sep 17 00:00:00 2001
From: CalMacCQ <93673602+CalMacCQ@users.noreply.github.com>
Date: Tue, 21 Nov 2023 14:56:43 +0000
Subject: [PATCH 34/36] Update emulator info and fix typo (#1134)

* update emulator info and fix typo

* rename extensions_index.rst to extensions.rst

---------

Co-authored-by: Alec Edgington <54802828+cqc-alec@users.noreply.github.com>
---
 pytket/docs/{extensions_index.rst => extensions.rst} | 2 +-
 pytket/docs/index.rst                                | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)
 rename pytket/docs/{extensions_index.rst => extensions.rst} (98%)

diff --git a/pytket/docs/extensions_index.rst b/pytket/docs/extensions.rst
similarity index 98%
rename from pytket/docs/extensions_index.rst
rename to pytket/docs/extensions.rst
index 8c26c94475..3ca7c1a09f 100644
--- a/pytket/docs/extensions_index.rst
+++ b/pytket/docs/extensions.rst
@@ -63,7 +63,7 @@ Emulators
 `IBMQEmulatorBackend`_ - A backend which uses the `AerBackend <https://tket.quantinuum.com/extensions/pytket-qiskit/api.html#pytket.extensions.qiskit.AerBackend>`_ to emulate the behavior of IBMQBackend.
 
 `QuantinuumBackend <https://tket.quantinuum.com/extensions/pytket-quantinuum/api.html#pytket.extensions.quantinuum.QuantinuumBackend>`_
-- The QuantinuumBackend has two available emulators namely H1-1E and H1-2E. These are device specific emulators for the H1-1 and H1-2 devices. These emualtors run remotely on a server.
+- The QuantinuumBackend has two available emulators namely H1-1E and H2-1E. These are device specific emulators for the H1-1 and H2-1 devices. These emulators run remotely on a server.
 
 Statevector Simulators
 ----------------------
diff --git a/pytket/docs/index.rst b/pytket/docs/index.rst
index 9bbf64265f..1c1a953337 100644
--- a/pytket/docs/index.rst
+++ b/pytket/docs/index.rst
@@ -87,7 +87,7 @@ Licensed under the `Apache 2 License <http://www.apache.org/licenses/LICENSE-2.0
     :caption: More Documentation:
     
     Manual <https://tket.quantinuum.com/user-manual/>
-    extensions_index.rst  
+    extensions.rst  
     Example notebooks <https://tket.quantinuum.com/examples>
 
 .. toctree::

From c33e23fd23772b5714553653d6d460a4d3cc42d3 Mon Sep 17 00:00:00 2001
From: cqc-melf <70640934+cqc-melf@users.noreply.github.com>
Date: Tue, 21 Nov 2023 16:59:59 +0000
Subject: [PATCH 35/36] add link to tket website (#1137)

---
 pytket/docs/index.rst | 1 +
 1 file changed, 1 insertion(+)

diff --git a/pytket/docs/index.rst b/pytket/docs/index.rst
index 1c1a953337..2a5b9e1f85 100644
--- a/pytket/docs/index.rst
+++ b/pytket/docs/index.rst
@@ -86,6 +86,7 @@ Licensed under the `Apache 2 License <http://www.apache.org/licenses/LICENSE-2.0
 .. toctree::
     :caption: More Documentation:
     
+    TKET website <https://tket.quantinuum.com/>
     Manual <https://tket.quantinuum.com/user-manual/>
     extensions.rst  
     Example notebooks <https://tket.quantinuum.com/examples>

From 3839ad60e4c08934cc73dff39a77e9aed58fae97 Mon Sep 17 00:00:00 2001
From: Alec Edgington <alec.edgington@quantinuum.com>
Date: Wed, 22 Nov 2023 09:41:43 +0000
Subject: [PATCH 36/36] Fix link to full changelog.

---
 pytket/docs/changelog.rst | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/pytket/docs/changelog.rst b/pytket/docs/changelog.rst
index cc81a3dc73..03a0a465c2 100644
--- a/pytket/docs/changelog.rst
+++ b/pytket/docs/changelog.rst
@@ -25,7 +25,7 @@ General:
 
 * Drop support for MacOS 11.
 
-`Full changelog <https://github.com/CQCL/tket/releases/tag/v1.22.0>`_
+`Full changelog <https://github.com/CQCL/tket/compare/v1.21.0...v1.22.0>`_
 
 1.21.0 (October 2023)
 ---------------------