[WIP] Commutation function and commutation DAG #1446
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Context:
This PR adds a commutation (pairwise) representation of quantum circuits. This is useful for applying different optimization algorithms (template matching, peephole optimization) that need commutation structure of the circuits.
Paper More details about the DAG in section 2.2
Description of the Change:
This PR adds a
is_commuting
checks if two operations commute, it does not use matrices multiplications but a truth table. Each operations has now attributesis_controlled
andtarget_operation
. Each operation has also functions that return control wires and target wirescontrol_wires()
target_wires()
. Those new attributes and functions are useful for determining commutation between operations.Benefits:
A commutation function that does not use matrices multiplication and takes any two operations as inputs. A new DAG that represents the commutation structure of quantum circuits and is useful for quantum circuits optimization.