diff --git a/.github/workflows/docs/conf.py b/.github/workflows/docs/conf.py
index 4d0b97ef..c33a188d 100644
--- a/.github/workflows/docs/conf.py
+++ b/.github/workflows/docs/conf.py
@@ -8,6 +8,7 @@
 
 extensions = [
     "sphinx.ext.autodoc",
+    "sphinx_autodoc_typehints",
     "sphinx.ext.autosummary",
     "sphinx.ext.intersphinx",
     "sphinx.ext.viewcode",
@@ -36,10 +37,10 @@
 pytketdoc_base = "https://tket.quantinuum.com/api-docs/"
 
 intersphinx_mapping = {
-    "https://docs.python.org/3/": None,
-    pytketdoc_base: None,
-    "https://qiskit.org/documentation/": None,
-    "http://docs.qulacs.org/en/latest/": None,
+    "python": ("https://docs.python.org/3/", None),
+    "pytket": (pytketdoc_base, None),
+    "qiskit": ("https://qiskit.org/documentation/", None),
+    "qulacs": ("http://docs.qulacs.org/en/latest/", None),
 }
 
 autodoc_member_order = "groupwise"
diff --git a/.github/workflows/docs/requirements.txt b/.github/workflows/docs/requirements.txt
index c8d2b6c4..cc5830a6 100644
--- a/.github/workflows/docs/requirements.txt
+++ b/.github/workflows/docs/requirements.txt
@@ -1,3 +1,4 @@
-sphinx >= 4.3.2, <6.2.0
+sphinx ~= 6.2
 sphinx_book_theme >= 1.0.1, <2.0
 sphinx-copybutton
+sphinx-autodoc-typehints
diff --git a/docs/api.rst b/docs/api.rst
index c063b077..f7ebe38d 100644
--- a/docs/api.rst
+++ b/docs/api.rst
@@ -2,25 +2,30 @@ API documentation
 ~~~~~~~~~~~~~~~~~
 
 .. autoclass:: pytket.extensions.qiskit.IBMQBackend
-    :special-members:
+    :special-members: __init__
+    :show-inheritance:
     :members:
 
 .. autoclass:: pytket.extensions.qiskit.IBMQEmulatorBackend
     :special-members: __init__
+    :show-inheritance:
     :members:
 
 .. autoclass:: pytket.extensions.qiskit.AerBackend
     :special-members: __init__
+    :show-inheritance:
     :inherited-members:
     :members:
 
 .. autoclass:: pytket.extensions.qiskit.AerStateBackend
     :special-members: __init__
     :inherited-members:
+    :show-inheritance:
     :members:
 
 .. autoclass:: pytket.extensions.qiskit.AerUnitaryBackend
     :special-members: __init__
+    :show-inheritance:
     :inherited-members:
     :members:
 
@@ -28,9 +33,13 @@ API documentation
     :members: qiskit_to_tk, tk_to_qiskit, process_characterisation
 
 .. automodule:: pytket.extensions.qiskit.tket_backend
+    :show-inheritance:
     :members:
     :special-members: __init__
 
+.. automodule:: pytket.extensions.qiskit.backends.crosstalk_model
+    :members: CrosstalkParams
+
 
 .. automodule:: pytket.extensions.qiskit.tket_pass
     :special-members: __init__
diff --git a/pytket/extensions/qiskit/backends/crosstalk_model.py b/pytket/extensions/qiskit/backends/crosstalk_model.py
index 8576928f..4d6b937c 100644
--- a/pytket/extensions/qiskit/backends/crosstalk_model.py
+++ b/pytket/extensions/qiskit/backends/crosstalk_model.py
@@ -40,7 +40,8 @@
 @dataclass
 class FractionalUnitary:
     """
-    Wrapper for a fractional unitary gate
+    Wrapper for a fractional unitary gate.
+
     :param cmd: the fractional UnitaryBox wrapped in a pytket Command
     :param n_fractions: the number of fractional gates
         used to compose the original unitary gate.
@@ -74,28 +75,20 @@ class CrosstalkParams:
     Stores various parameters for modelling crosstalk noise
 
     :param zz_crosstalks: symmetric crosstalks between qubit pairs
-    :type zz_crosstalks: `Dict[Tuple[Qubit, Qubit], float]`
     :param single_q_phase_errors: dict specify the single qubit phase error
         on each qubit
-    :type single_q_phase_errors: `Dict[Qubit, float]`
     :param two_q_induced_phase_errors: keys of dictionary specify the control
         and target qubit index, while the values are tuples with the spectator
         qubit index and the amount of phase error to be applied.
-    :type two_q_induced_phase_errors: `Dict[Tuple[Qubit, Qubit], Tuple[Qubit, float]]`
     :param non_markovian_noise: List storing the non-Markovian noise parameters.
         Each tuple in the list contains the qubit index and the zx, zz noise parameters.
-    :type non_markovian_noise: `List[Tuple[Qubit, float, float]]`
     :param virtual_z: If True, then don't break any single qubit Z gate into
         unitary fractions, instead add the full unitary.
-    :type bool
     :param N: hyperparameter specifies splices per second.
         1/N must divide all gate times.
-    :type: float
     :param gate_times: python dict to store the gate time information.
-    :type gate_times: `Dict[Tuple[OpType, Tuple[Qubit, ...]], float]`
     :param phase_damping_error: dict specify amplitude phase damping error
         on each qubit
-    :type phase_damping_error: `Dict[Qubit, float]`
     :param amplitude_damping_error: dict pecify amplitude damping error
         on each qubit
     """
diff --git a/pytket/extensions/qiskit/backends/ibm.py b/pytket/extensions/qiskit/backends/ibm.py
index b62c6b2b..85c1d7bf 100644
--- a/pytket/extensions/qiskit/backends/ibm.py
+++ b/pytket/extensions/qiskit/backends/ibm.py
@@ -449,12 +449,15 @@ def process_circuits(
         """
         See :py:meth:`pytket.backends.Backend.process_circuits`.
 
-        Supported `kwargs`:
-        - `postprocess`: apply end-of-circuit simplifications and classical
-          postprocessing to improve fidelity of results (bool, default False)
-        - `simplify_initial`: apply the pytket ``SimplifyInitial`` pass to improve
-          fidelity of results assuming all qubits initialized to zero (bool, default
-          False)
+        :Keyword Arguments:
+            * `postprocess`:
+                apply end-of-circuit simplifications and classical
+                postprocessing to improve fidelity of results (bool, default False)
+            * `simplify_initial`:
+                apply the pytket ``SimplifyInitial`` pass to improve
+                fidelity of results assuming all qubits initialized to zero
+                (bool, default False)
+
         """
         circuits = list(circuits)