Quantum-inspired optimization for wavelength assignment

Problems related to wavelength assignment (WA) in optical communications networks involve allocating transmission wavelengths for known transmission paths between nodes that minimize a certain objective function, for example, the total number of wavelengths. Playing a central role in modern telecomm...

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Main Authors: Aleksey S. Boev, Sergey R. Usmanov, Alexander M. Semenov, Maria M. Ushakova, Gleb V. Salahov, Alena S. Mastiukova, Evgeniy O. Kiktenko, Aleksey K. Fedorov
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-01-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2022.1092065/full
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author Aleksey S. Boev
Sergey R. Usmanov
Alexander M. Semenov
Maria M. Ushakova
Gleb V. Salahov
Alena S. Mastiukova
Evgeniy O. Kiktenko
Aleksey K. Fedorov
author_facet Aleksey S. Boev
Sergey R. Usmanov
Alexander M. Semenov
Maria M. Ushakova
Gleb V. Salahov
Alena S. Mastiukova
Evgeniy O. Kiktenko
Aleksey K. Fedorov
author_sort Aleksey S. Boev
collection DOAJ
description Problems related to wavelength assignment (WA) in optical communications networks involve allocating transmission wavelengths for known transmission paths between nodes that minimize a certain objective function, for example, the total number of wavelengths. Playing a central role in modern telecommunications, this problem belongs to NP-complete class for a general case so that obtaining optimal solutions for industry-relevant cases is exponentially hard. In this work, we propose and develop a quantum-inspired algorithm for solving the wavelength assignment problem. We propose an advanced embedding procedure to transform this problem into the quadratic unconstrained binary optimization (QUBO) form, having a improvement in the number of iterations with price-to-pay being a slight increase in the number of variables (“spins”). Then, we compare a quantum-inspired technique for solving the corresponding QUBO form against classical heuristic and industrial combinatorial solvers. The obtained numerical results indicate on an advantage of the quantum-inspired approach in a substantial number of test cases against the industrial combinatorial solver that works in the standard setting. Our results pave the way to the use of quantum-inspired algorithms for practical problems in telecommunications and open a perspective for further analysis of the use of quantum computing devices.
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spelling doaj.art-5eebe6c361424ecaa0a2a0ba423117e22023-01-18T06:53:28ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-01-011010.3389/fphy.2022.10920651092065Quantum-inspired optimization for wavelength assignmentAleksey S. BoevSergey R. UsmanovAlexander M. SemenovMaria M. UshakovaGleb V. SalahovAlena S. MastiukovaEvgeniy O. KiktenkoAleksey K. FedorovProblems related to wavelength assignment (WA) in optical communications networks involve allocating transmission wavelengths for known transmission paths between nodes that minimize a certain objective function, for example, the total number of wavelengths. Playing a central role in modern telecommunications, this problem belongs to NP-complete class for a general case so that obtaining optimal solutions for industry-relevant cases is exponentially hard. In this work, we propose and develop a quantum-inspired algorithm for solving the wavelength assignment problem. We propose an advanced embedding procedure to transform this problem into the quadratic unconstrained binary optimization (QUBO) form, having a improvement in the number of iterations with price-to-pay being a slight increase in the number of variables (“spins”). Then, we compare a quantum-inspired technique for solving the corresponding QUBO form against classical heuristic and industrial combinatorial solvers. The obtained numerical results indicate on an advantage of the quantum-inspired approach in a substantial number of test cases against the industrial combinatorial solver that works in the standard setting. Our results pave the way to the use of quantum-inspired algorithms for practical problems in telecommunications and open a perspective for further analysis of the use of quantum computing devices.https://www.frontiersin.org/articles/10.3389/fphy.2022.1092065/fullquantum-inspiredquantum technologieswavelength assignment (WA)quantum algorithmQUBO
spellingShingle Aleksey S. Boev
Sergey R. Usmanov
Alexander M. Semenov
Maria M. Ushakova
Gleb V. Salahov
Alena S. Mastiukova
Evgeniy O. Kiktenko
Aleksey K. Fedorov
Quantum-inspired optimization for wavelength assignment
Frontiers in Physics
quantum-inspired
quantum technologies
wavelength assignment (WA)
quantum algorithm
QUBO
title Quantum-inspired optimization for wavelength assignment
title_full Quantum-inspired optimization for wavelength assignment
title_fullStr Quantum-inspired optimization for wavelength assignment
title_full_unstemmed Quantum-inspired optimization for wavelength assignment
title_short Quantum-inspired optimization for wavelength assignment
title_sort quantum inspired optimization for wavelength assignment
topic quantum-inspired
quantum technologies
wavelength assignment (WA)
quantum algorithm
QUBO
url https://www.frontiersin.org/articles/10.3389/fphy.2022.1092065/full
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