Function that applies the pattern matching algorithm and returns the list of maximal matches.
the list of maximal matches.
- Return type
First let’s consider the following circuit
def circuit(): qml.S(wires=0) qml.PauliZ(wires=0) qml.S(wires=1) qml.CZ(wires=[0, 1]) qml.S(wires=1) qml.S(wires=2) qml.CZ(wires=[1, 2]) qml.S(wires=2) return qml.expval(qml.PauliX(wires=0))
def pattern(): qml.S(wires=0) qml.S(wires=0) qml.PauliZ(wires=0)
>>> circuit_dag = qml.commutation_dag(circuit)() >>> pattern_dag = qml.commutation_dag(pattern)() >>> all_max_matches = qml.pattern_matching(circuit_dag, pattern_dag)
The matches are accessible by looping through the list outputted by
qml.pattern_matching. This output is a list of lists containing indices. Each list represents a match between a gate in the pattern with a gate in the circuit. The first indices represent the gates in the pattern and the second indices provides indices for the gates in the circuit (by order of appearance).
>>> for match_conf in all_max_matches: ... print(match_conf.match) [[0, 0], [2, 1]] [[0, 2], [1, 4]] [[0, 4], [1, 2]] [[0, 5], [1, 7]] [[0, 7], [1, 5]]
 Iten, R., Moyard, R., Metger, T., Sutter, D. and Woerner, S., 2022. Exact and practical pattern matching for quantum circuit optimization. doi.org/10.1145/3498325
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