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A Parallel Genetic Algorithm for Qubit Mapping on Noisy Intermediate-Scale Quantum Machines
Rouzé, Jérôme; Melab, Nouredine; Tuyttens, Daniel
2025In Dorronsoro, Bernabé (Ed.) Optimization and Learning - 7th International Conference, OLA 2024, Revised Selected Papers B. Dorronsoro et al. (Eds.): OLA 2024, CCIS 2311, pp. 305–320, 2025.
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Keywords :
Best match; Connectivity constraints; Parallel genetic algorithms; Physical qubits; Quanta computers; Quantum circuit; Quantum device; Quantum machines; Technological advancement; Time-rate; Computer Science (all); Mathematics (all)
Abstract :
[en] Quantum computers are getting increasingly large and available thanks to some major technological advancements, but they remain in the realm of NISQ (Noisy Intermediate Scale Quantum) devices. On such devices, due to the limited connectivity of the physical qubits, most quantum circuit-based programs cannot be executed without transpilation. This latter includes an important step, referred to as qubit mapping, which consists in converting the quantum circuit into another one which best matches the graph of physical qubits taking into account its limited connectivity constraint. In this paper, we propose a Parallel Genetic Algorithm to Qubit Mapping (PGA-QM). The challenge is to minimize the depth of the transformed circuit and the execution time and error rate consequently. PGA-QM has been experimented using various medium-to-large scale circuit benchmarks. It is compared against the SABRE heuristic currently implemented in Qiskit, the IBM’s library for quantum computing. The reported results show that PGA-QM can provide better solutions and with better consistency than its counterpart while parallelism greatly reduces its execution time during the transpilation.
Disciplines :
Computer science
Author, co-author :
Rouzé, Jérôme;  Mathematics and Operations Research Department, University of Mons, Mons, Belgium
Melab, Nouredine;  Univ. Lille, CNRS, Centrale Lille, Inria, UMR 9189 - CRIStAL - Centre de Recherche en Informatique Signal et Automatique de Lille, Lille, France
Tuyttens, Daniel ;  Université de Mons - UMONS > Faculté Polytechnique > Service de Mathématique et Recherche opérationnelle
Language :
English
Title :
A Parallel Genetic Algorithm for Qubit Mapping on Noisy Intermediate-Scale Quantum Machines
Publication date :
2025
Event name :
OLA 2024
Event place :
Dubrovnik, Hrv
Event date :
13-05-2024 => 15-05-2024
Main work title :
Optimization and Learning - 7th International Conference, OLA 2024, Revised Selected Papers B. Dorronsoro et al. (Eds.): OLA 2024, CCIS 2311, pp. 305–320, 2025.
Editor :
Dorronsoro, Bernabé
Publisher :
Springer Science and Business Media Deutschland GmbH
ISBN/EAN :
978-3-03-177940-4
Peer reviewed :
Peer reviewed
Research unit :
F151 - Mathématique et Recherche opérationnelle
Research institute :
Infortech
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since 06 May 2025

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