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Quantum algorithms promise quadratic or exponential speedups for applicationsin cryptography, chemistry and material sciences. The topologies of today'squantum computers offer limited connectivity, leading to significant overheadsfor implementing such quantum algorithms. One-dimensional topologydisplacements that remedy these limits have been recently demonstrated forarchitectures based on Rydberg atoms, and they are possible in principle inphotonic and ion trap architectures. We present the first optimal quantumcircuit-to-architecture mapping algorithm that exploits such one-dimensionaltopology displacements. We benchmark our method on quantum circuits with up to15 qubits and investigate the improvements compared with conventional mappingbased on inserting swap gates into the quantum circuits. Depending onunderlying technology parameters, our approach can decrease the quantum circuitdepth by up to 58% and increase the fidelity by up to 29%. We also studyruntime and fidelity requirements on one-dimensional displacements and swapgates to derive conditions under which one-dimensional topology displacementsprovide benefits.

Optimal Mapping for Near-Term Quantum Architectures based on Rydberg Atoms