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The rapid progress of physical implementation of quantum computers paved theway of realising the design of tools to help users write quantum programs forany given quantum devices. The physical constraints inherent to the currentNISQ architectures prevent most quantum algorithms from being directly executedon quantum devices. To enable two-qubit gates in the algorithm, existing worksfocus on inserting SWAP gates to dynamically remap logical qubits to physicalqubits. However, their schemes lack the consideration of the depth of generatedquantum circuits. In this work, we propose a depth-aware SWAP insertion schemefor qubit mapping problem in the NISQ era.

A Depth-Aware Swap Insertion Scheme for the Qubit Mapping Problem