---
title: CommutativeInverseCancellation (v1.1)
description: API reference for qiskit.transpiler.passes.CommutativeInverseCancellation in qiskit v1.1
source: https://quantum.cloud.ibm.com/docs/en/api/qiskit/1.1/qiskit.transpiler.passes.CommutativeInverseCancellation
---

# CommutativeInverseCancellation

*class* `qiskit.transpiler.passes.CommutativeInverseCancellation(*args, **kwargs)`

[GitHub](https://github.com/Qiskit/qiskit/tree/stable/1.1/qiskit/transpiler/passes/optimization/commutative_inverse_cancellation.py#L21-L143)

Bases: [`TransformationPass`](/docs/api/qiskit/1.1/qiskit.transpiler.TransformationPass "qiskit.transpiler.basepasses.TransformationPass")

Cancel pairs of inverse gates exploiting commutation relations.

**Parameters**

- **matrix\_based** – If `True`, uses matrix representations to check whether two operations are inverse of each other. This makes the checks more powerful, and, in addition, allows canceling pairs of operations that are inverse up to a phase, while updating the global phase of the circuit accordingly. Generally this leads to more reductions at the expense of increased runtime.
- **max\_qubits** – Limits the number of qubits in matrix-based commutativity and inverse checks.

## Attributes

### is\_analysis\_pass

Check if the pass is an analysis pass.

If the pass is an AnalysisPass, that means that the pass can analyze the DAG and write the results of that analysis in the property set. Modifications on the DAG are not allowed by this kind of pass.

### is\_transformation\_pass

Check if the pass is a transformation pass.

If the pass is a TransformationPass, that means that the pass can manipulate the DAG, but cannot modify the property set (but it can be read).

## Methods

### execute

`execute(passmanager_ir, state, callback=None)`

[GitHub](https://github.com/Qiskit/qiskit/tree/stable/1.1/qiskit/transpiler/basepasses.py#L189-L211)

Execute optimization task for input Qiskit IR.

**Parameters**

- **passmanager\_ir** ([*Any*](https://docs.python.org/3/library/typing.html#typing.Any)) – Qiskit IR to optimize.
- **state** ([*PassManagerState*](/docs/api/qiskit/1.1/qiskit.passmanager.PassManagerState "qiskit.passmanager.compilation_status.PassManagerState")) – State associated with workflow execution by the pass manager itself.
- **callback** ([*Callable*](https://docs.python.org/3/library/collections.abc.html#collections.abc.Callable) *| None*) – A callback function which is caller per execution of optimization task.

**Returns**

Optimized Qiskit IR and state of the workflow.

**Return type**

[tuple](https://docs.python.org/3/library/stdtypes.html#tuple)\[[*Any*](https://docs.python.org/3/library/typing.html#typing.Any), [qiskit.passmanager.compilation\_status.PassManagerState](/docs/api/qiskit/1.1/qiskit.passmanager.PassManagerState "qiskit.passmanager.compilation_status.PassManagerState")]

### name

`name()`

[GitHub](https://github.com/Qiskit/qiskit/tree/stable/1.1/qiskit/passmanager/base_tasks.py#L68-L70)

Name of the pass.

**Return type**

[str](https://docs.python.org/3/library/stdtypes.html#str)

### run

`run(dag)`

[GitHub](https://github.com/Qiskit/qiskit/tree/stable/1.1/qiskit/transpiler/passes/optimization/commutative_inverse_cancellation.py#L79-L143)

Run the CommutativeInverseCancellation pass on dag.

**Parameters**

**dag** ([*DAGCircuit*](/docs/api/qiskit/1.1/qiskit.dagcircuit.DAGCircuit "qiskit.dagcircuit.dagcircuit.DAGCircuit")) – the directed acyclic graph to run on.

**Returns**

Transformed DAG.

**Return type**

[DAGCircuit](/docs/api/qiskit/1.1/qiskit.dagcircuit.DAGCircuit "qiskit.dagcircuit.DAGCircuit")

### update\_status

`update_status(state, run_state)`

[GitHub](https://github.com/Qiskit/qiskit/tree/stable/1.1/qiskit/transpiler/basepasses.py#L213-L221)

Update workflow status.

**Parameters**

- **state** ([*PassManagerState*](/docs/api/qiskit/1.1/qiskit.passmanager.PassManagerState "qiskit.passmanager.compilation_status.PassManagerState")) – Pass manager state to update.
- **run\_state** (*RunState*) – Completion status of current task.

**Returns**

Updated pass manager state.

**Return type**

[*PassManagerState*](/docs/api/qiskit/1.1/qiskit.passmanager.PassManagerState "qiskit.passmanager.compilation_status.PassManagerState")