diff --git a/qualtran/_infra/adjoint.py b/qualtran/_infra/adjoint.py
index 81c556ee9..8966e0630 100644
--- a/qualtran/_infra/adjoint.py
+++ b/qualtran/_infra/adjoint.py
@@ -17,7 +17,6 @@
 
 import cirq
 from attrs import frozen
-from numpy.typing import NDArray
 
 from .composite_bloq import _binst_to_cxns, _cxns_to_soq_dict, _map_soqs, _reg_to_soq, BloqBuilder
 from .gate_with_registers import GateWithRegisters
@@ -142,13 +141,6 @@ def decompose_bloq(self) -> 'CompositeBloq':
         """The decomposition is the adjoint of `subbloq`'s decomposition."""
         return self.subbloq.decompose_bloq().adjoint()
 
-    def decompose_from_registers(
-        self, *, context: cirq.DecompositionContext, **quregs: NDArray[cirq.Qid]  # type: ignore[type-var]
-    ) -> cirq.OP_TREE:
-        if isinstance(self.subbloq, GateWithRegisters):
-            return cirq.inverse(self.subbloq.decompose_from_registers(context=context, **quregs))
-        return super().decompose_from_registers(context=context, **quregs)
-
     def _circuit_diagram_info_(
         self, args: 'cirq.CircuitDiagramInfoArgs'
     ) -> cirq.CircuitDiagramInfo:
diff --git a/qualtran/_infra/gate_with_registers_test.py b/qualtran/_infra/gate_with_registers_test.py
index 329c20f36..a3735a889 100644
--- a/qualtran/_infra/gate_with_registers_test.py
+++ b/qualtran/_infra/gate_with_registers_test.py
@@ -141,11 +141,11 @@ def test_gate_with_registers_decompose_from_context_auto_generated():
     cirq.testing.assert_has_diagram(
         circuit,
         """
-l: ───BloqWithDecompose───X───────free───
+l: ───BloqWithDecompose───X───
       │
-r: ───r───────────────────alloc───Z──────
+r: ───r───────────────────Z───
       │
-t: ───t───────────────────Y──────────────
+t: ───t───────────────────Y───
 """,
     )
 
diff --git a/qualtran/bloqs/arithmetic/comparison.py b/qualtran/bloqs/arithmetic/comparison.py
index a5a1e5987..5cd7599e5 100644
--- a/qualtran/bloqs/arithmetic/comparison.py
+++ b/qualtran/bloqs/arithmetic/comparison.py
@@ -610,6 +610,9 @@ def build_call_graph(self, ssa: 'SympySymbolAllocator') -> Set['BloqCountT']:
     def _has_unitary_(self):
         return True
 
+    def adjoint(self) -> 'Bloq':
+        return self
+
 
 @bloq_example
 def _leq_symb() -> LessThanEqual:
diff --git a/qualtran/bloqs/basic_gates/s_gate.py b/qualtran/bloqs/basic_gates/s_gate.py
index a716d06fe..98449242d 100644
--- a/qualtran/bloqs/basic_gates/s_gate.py
+++ b/qualtran/bloqs/basic_gates/s_gate.py
@@ -73,7 +73,8 @@ def as_cirq_op(
         import cirq
 
         (q,) = q
-        return cirq.S(q), {'q': np.array([q])}
+        p = -1 if self.is_adjoint else 1
+        return cirq.S(q) ** p, {'q': np.array([q])}
 
     def pretty_name(self) -> str:
         maybe_dag = '†' if self.is_adjoint else ''
diff --git a/qualtran/bloqs/basic_gates/s_gate_test.py b/qualtran/bloqs/basic_gates/s_gate_test.py
index 0fc6fa8c1..0af74b219 100644
--- a/qualtran/bloqs/basic_gates/s_gate_test.py
+++ b/qualtran/bloqs/basic_gates/s_gate_test.py
@@ -32,9 +32,10 @@ def test_to_cirq():
     bb = BloqBuilder()
     q = bb.add(PlusState())
     q = bb.add(SGate(), q=q)
+    q = bb.add(SGate().adjoint(), q=q)
     cbloq = bb.finalize(q=q)
     circuit = cbloq.to_cirq_circuit()
-    cirq.testing.assert_has_diagram(circuit, "_c(0): ───H───S───")
+    cirq.testing.assert_has_diagram(circuit, "_c(0): ───H───S───S^-1───")
 
 
 def test_tensors():
diff --git a/qualtran/bloqs/bookkeeping/allocate.py b/qualtran/bloqs/bookkeeping/allocate.py
index f7775a8d7..7ab3fb383 100644
--- a/qualtran/bloqs/bookkeeping/allocate.py
+++ b/qualtran/bloqs/bookkeeping/allocate.py
@@ -12,8 +12,9 @@
 #  See the License for the specific language governing permissions and
 #  limitations under the License.
 from functools import cached_property
-from typing import Dict, List, Tuple, TYPE_CHECKING
+from typing import Dict, List, Tuple, TYPE_CHECKING, Union
 
+import numpy as np
 import sympy
 from attrs import frozen
 
@@ -34,8 +35,11 @@
 from qualtran.drawing import directional_text_box, Text, WireSymbol
 
 if TYPE_CHECKING:
+    import cirq
     import quimb.tensor as qtn
 
+    from qualtran.cirq_interop import CirqQuregT
+
 
 @frozen
 class Allocate(_BookkeepingBloq):
@@ -83,6 +87,15 @@ def wire_symbol(self, reg: Register, idx: Tuple[int, ...] = tuple()) -> 'WireSym
         assert reg.name == 'reg'
         return directional_text_box('alloc', Side.RIGHT)
 
+    def as_cirq_op(
+        self, qubit_manager: 'cirq.QubitManager'
+    ) -> Tuple[Union['cirq.Operation', None], Dict[str, 'CirqQuregT']]:
+        shape = (*self.signature[0].shape, self.signature[0].bitsize)
+        return (
+            None,
+            {'reg': np.array(qubit_manager.qalloc(self.signature.n_qubits())).reshape(shape)},
+        )
+
 
 @bloq_example
 def _alloc() -> Allocate:
diff --git a/qualtran/bloqs/bookkeeping/free.py b/qualtran/bloqs/bookkeeping/free.py
index f00851cd3..f8a2a0700 100644
--- a/qualtran/bloqs/bookkeeping/free.py
+++ b/qualtran/bloqs/bookkeeping/free.py
@@ -13,7 +13,7 @@
 #  limitations under the License.
 
 from functools import cached_property
-from typing import Dict, List, Tuple, TYPE_CHECKING
+from typing import Dict, List, Tuple, TYPE_CHECKING, Union
 
 import sympy
 from attrs import frozen
@@ -35,8 +35,10 @@
 from qualtran.drawing import directional_text_box, Text, WireSymbol
 
 if TYPE_CHECKING:
+    import cirq
     import quimb.tensor as qtn
 
+    from qualtran.cirq_interop import CirqQuregT
     from qualtran.simulation.classical_sim import ClassicalValT
 
 
@@ -92,6 +94,12 @@ def wire_symbol(self, reg: Register, idx: Tuple[int, ...] = tuple()) -> 'WireSym
         assert reg.name == 'reg'
         return directional_text_box('free', Side.LEFT)
 
+    def as_cirq_op(
+        self, qubit_manager: 'cirq.QubitManager', reg: 'CirqQuregT'
+    ) -> Tuple[Union['cirq.Operation', None], Dict[str, 'CirqQuregT']]:
+        qubit_manager.qfree(reg.flatten().tolist())
+        return (None, {})
+
 
 @bloq_example
 def _free() -> Free:
diff --git a/qualtran/bloqs/data_loading/select_swap_qrom_test.py b/qualtran/bloqs/data_loading/select_swap_qrom_test.py
index 83287702c..11dd47ef6 100644
--- a/qualtran/bloqs/data_loading/select_swap_qrom_test.py
+++ b/qualtran/bloqs/data_loading/select_swap_qrom_test.py
@@ -62,9 +62,9 @@ def test_select_swap_qrom(data, block_size):
         cirq.decompose_once(qrom.on_registers(**qubit_regs), context=context)
     )
 
-    dirty_target_ancilla = [
-        q for q in qrom_circuit.all_qubits() if isinstance(q, cirq.ops.BorrowableQubit)
-    ]
+    dirty_target_ancilla = sorted(
+        qrom_circuit.all_qubits() - set(q for qs in qubit_regs.values() for q in qs.flatten())
+    )
 
     circuit = cirq.Circuit(
         # Prepare dirty ancillas in an arbitrary state.
diff --git a/qualtran/bloqs/reflections/reflection_using_prepare.py b/qualtran/bloqs/reflections/reflection_using_prepare.py
index 88a531596..9dabf41f5 100644
--- a/qualtran/bloqs/reflections/reflection_using_prepare.py
+++ b/qualtran/bloqs/reflections/reflection_using_prepare.py
@@ -29,12 +29,12 @@
 from qualtran.bloqs.basic_gates.global_phase import GlobalPhase
 from qualtran.bloqs.basic_gates.rotation import ZPowGate
 from qualtran.bloqs.basic_gates.x_basis import XGate
-from qualtran.bloqs.block_encoding.lcu_select_and_prepare import PrepareOracle
 from qualtran.bloqs.mcmt.multi_control_multi_target_pauli import MultiControlPauli
 from qualtran.resource_counting.generalizers import ignore_split_join
 from qualtran.symbolics.types import SymbolicInt
 
 if TYPE_CHECKING:
+    from qualtran.bloqs.block_encoding.lcu_select_and_prepare import PrepareOracle
     from qualtran.resource_counting import BloqCountT, SympySymbolAllocator
 
 
@@ -77,7 +77,7 @@ class ReflectionUsingPrepare(SpecializedSingleQubitControlledGate):
             Babbush et. al. (2018). Figure 1.
     """
 
-    prepare_gate: PrepareOracle
+    prepare_gate: 'PrepareOracle'
     control_val: Optional[int] = None
     global_phase: complex = 1
     eps: float = 1e-11
diff --git a/qualtran/bloqs/reflections/reflection_using_prepare_test.py b/qualtran/bloqs/reflections/reflection_using_prepare_test.py
index 6f2cb9677..9aac402c4 100644
--- a/qualtran/bloqs/reflections/reflection_using_prepare_test.py
+++ b/qualtran/bloqs/reflections/reflection_using_prepare_test.py
@@ -20,7 +20,7 @@
 import pytest
 from numpy.typing import NDArray
 
-from qualtran import Bloq
+from qualtran import Adjoint, Bloq
 from qualtran._infra.gate_with_registers import get_named_qubits
 from qualtran.bloqs.arithmetic import LessThanConstant, LessThanEqual
 from qualtran.bloqs.basic_gates import ZPowGate
@@ -30,6 +30,7 @@
 from qualtran.bloqs.reflections.prepare_identity import PrepareIdentity
 from qualtran.bloqs.reflections.reflection_using_prepare import ReflectionUsingPrepare
 from qualtran.bloqs.state_preparation import StatePreparationAliasSampling
+from qualtran.cirq_interop import BloqAsCirqGate
 from qualtran.cirq_interop.testing import GateHelper
 from qualtran.resource_counting.generalizers import (
     ignore_alloc_free,
@@ -58,6 +59,13 @@ def keep(op: cirq.Operation):
     ret = op in gateset_to_keep
     if op.gate is not None and isinstance(op.gate, cirq.ops.raw_types._InverseCompositeGate):
         ret |= op.gate._original in gateset_to_keep
+    if op.gate is not None and isinstance(op.gate, Adjoint):
+        subgate = (
+            op.gate.subbloq
+            if isinstance(op.gate.subbloq, cirq.Gate)
+            else BloqAsCirqGate(op.gate.subbloq)
+        )
+        ret |= subgate in gateset_to_keep
     return ret
 
 
@@ -73,7 +81,7 @@ def construct_gate_helper_and_qubit_order(gate, decompose_once: bool = False):
         )
     ordered_input = list(itertools.chain(*g.quregs.values()))
     qubit_order = cirq.QubitOrder.explicit(ordered_input, fallback=cirq.QubitOrder.DEFAULT)
-    assert len(circuit.all_qubits()) < 30
+    assert len(circuit.all_qubits()) < 24
     return g, qubit_order, circuit
 
 
diff --git a/qualtran/bloqs/state_preparation/prepare_uniform_superposition_test.py b/qualtran/bloqs/state_preparation/prepare_uniform_superposition_test.py
index a239cd4dd..7409588e6 100644
--- a/qualtran/bloqs/state_preparation/prepare_uniform_superposition_test.py
+++ b/qualtran/bloqs/state_preparation/prepare_uniform_superposition_test.py
@@ -104,3 +104,16 @@ def test_prepare_uniform_superposition_consistent_protocols():
         PrepareUniformSuperposition(5, cvs=()),
         PrepareUniformSuperposition(5, cvs=[]),
     )
+
+
+def test_prepare_uniform_superposition_adjoint():
+    n = 3
+    target = cirq.NamedQubit.range((n - 1).bit_length(), prefix='target')
+    control = [cirq.NamedQubit('control')]
+    op = PrepareUniformSuperposition(n, cvs=(0,)).on_registers(ctrl=control, target=target)
+    gqm = cirq.GreedyQubitManager(prefix="_ancilla", maximize_reuse=True)
+    context = cirq.DecompositionContext(gqm)
+    circuit = cirq.Circuit(op, cirq.decompose(cirq.inverse(op), context=context))
+    identity = cirq.Circuit(cirq.identity_each(*circuit.all_qubits())).final_state_vector()
+    result = cirq.Simulator(dtype=np.complex128).simulate(circuit)
+    np.testing.assert_allclose(result.final_state_vector, identity, atol=1e-8)
diff --git a/qualtran/bloqs/swap_network/cswap_approx_test.py b/qualtran/bloqs/swap_network/cswap_approx_test.py
index 7ed1700fd..665e1cb12 100644
--- a/qualtran/bloqs/swap_network/cswap_approx_test.py
+++ b/qualtran/bloqs/swap_network/cswap_approx_test.py
@@ -11,10 +11,11 @@
 #  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.
-
 import random
 from typing import Dict, Tuple, Union
 
+import cirq
+import numpy as np
 import pytest
 import sympy
 
@@ -38,6 +39,17 @@ def test_cswap_approx_decomp():
     assert_valid_bloq_decomposition(csa)
 
 
+def test_cswap_approx_decomposition():
+    csa = CSwapApprox(4)
+    circuit = (
+        csa.as_composite_bloq().to_cirq_circuit()
+        + csa.adjoint().as_composite_bloq().to_cirq_circuit()
+    )
+    initial_state = cirq.testing.random_superposition(2**9, random_state=1234)
+    result = cirq.Simulator(dtype=np.complex128).simulate(circuit, initial_state=initial_state)
+    np.testing.assert_allclose(result.final_state_vector, initial_state)
+
+
 @pytest.mark.parametrize('n', [5, 32])
 def test_approx_cswap_t_count(n):
     cswap = CSwapApprox(bitsize=n)
diff --git a/qualtran/bloqs/swap_network/swap_with_zero.py b/qualtran/bloqs/swap_network/swap_with_zero.py
index be301aa5a..112bd6e91 100644
--- a/qualtran/bloqs/swap_network/swap_with_zero.py
+++ b/qualtran/bloqs/swap_network/swap_with_zero.py
@@ -153,7 +153,7 @@ def build_composite_bloq(
 
     def build_call_graph(self, ssa: 'SympySymbolAllocator') -> Set['BloqCountT']:
         num_swaps = prod(x for x in self.n_target_registers) - 1
-        return {(CSwapApprox(self.target_bitsize), num_swaps)}
+        return {(self.cswap_n, num_swaps)}
 
     def _circuit_diagram_info_(self, args) -> cirq.CircuitDiagramInfo:
         from qualtran.cirq_interop._bloq_to_cirq import _wire_symbol_to_cirq_diagram_info
diff --git a/qualtran/cirq_interop/_bloq_to_cirq.py b/qualtran/cirq_interop/_bloq_to_cirq.py
index 9ab2fd19e..a20a81b15 100644
--- a/qualtran/cirq_interop/_bloq_to_cirq.py
+++ b/qualtran/cirq_interop/_bloq_to_cirq.py
@@ -230,7 +230,6 @@ def _bloq_to_cirq_op(
             del qvar_to_qreg[soq]
 
     op, out_quregs = bloq.as_cirq_op(qubit_manager=qubit_manager, **in_quregs)
-
     # 2. Update the mappings based on output soquets and `out_quregs`.
     for cxn in succ_cxns:
         soq = cxn.left
diff --git a/qualtran/cirq_interop/_bloq_to_cirq_test.py b/qualtran/cirq_interop/_bloq_to_cirq_test.py
index 1e4b37e61..5bd238606 100644
--- a/qualtran/cirq_interop/_bloq_to_cirq_test.py
+++ b/qualtran/cirq_interop/_bloq_to_cirq_test.py
@@ -208,7 +208,7 @@ def test_bloq_as_cirq_gate_left_register():
     bb.free(q)
     cbloq = bb.finalize()
     circuit = cbloq.to_cirq_circuit()
-    cirq.testing.assert_has_diagram(circuit, """_c(0): ───alloc───X───free───""")
+    cirq.testing.assert_has_diagram(circuit, """_c(0): ───X───""")
 
 
 def test_bloq_as_cirq_gate_for_mod_exp():
diff --git a/qualtran/cirq_interop/_interop_qubit_manager.py b/qualtran/cirq_interop/_interop_qubit_manager.py
index 0cb2cccd1..da3e8d2ee 100644
--- a/qualtran/cirq_interop/_interop_qubit_manager.py
+++ b/qualtran/cirq_interop/_interop_qubit_manager.py
@@ -28,10 +28,30 @@ def __init__(self, qm: Optional[cirq.QubitManager] = None):
         self._managed_qubits: Set[cirq.Qid] = set()
 
     def qalloc(self, n: int, dim: int = 2) -> List['cirq.Qid']:
-        return self._qm.qalloc(n, dim)
+        ret: List['cirq.Qid'] = []
+        qubits_to_free: List['cirq.Qid'] = []
+        while len(ret) < n:
+            new_alloc = self._qm.qalloc(n - len(ret), dim)
+            for q in new_alloc:
+                if q in self._managed_qubits:
+                    qubits_to_free.append(q)
+                else:
+                    ret.append(q)
+        self._qm.qfree(qubits_to_free)
+        return ret
 
     def qborrow(self, n: int, dim: int = 2) -> List['cirq.Qid']:
-        return self._qm.qborrow(n, dim)
+        ret: List['cirq.Qid'] = []
+        qubits_to_free: List['cirq.Qid'] = []
+        while len(ret) < n:
+            new_alloc = self._qm.qborrow(n - len(ret), dim)
+            for q in new_alloc:
+                if q in self._managed_qubits:
+                    qubits_to_free.append(q)
+                else:
+                    ret.append(q)
+        self._qm.qfree(qubits_to_free)
+        return ret
 
     def manage_qubits(self, qubits: Iterable[cirq.Qid]):
         self._managed_qubits |= set(qubits)