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This paper addresses quantum circuit mapping for Noisy Intermediate-ScaleQuantum (NISQ) computers. Since NISQ computers constraint two-qubit operationson limited couplings, an input circuit must be transformed into an equivalentoutput circuit obeying the constraints. The transformation often requiresadditional gates that can affect the accuracy of running the circuit. Basedupon a previous work of quantum circuit mapping that leverages gate commutationrules, this paper shows algorithms that utilize both transformation andcommutation rules. Experiments on a standard benchmark dataset confirm thealgorithms with more rules can find even better circuit mappings compared withthe previously-known best algorithms.

Optimization of Quantum Circuit Mapping using Gate Transformation and Commutation