Multiobjective Optimization and Network Routing With Near-Term Quantum Computers

Multiobjective optimization is a ubiquitous problem that arises naturally in many scientific and industrial areas. Network routing optimization with multiobjective performance demands falls into this problem class, and finding good quality solutions at large scales is generally challenging. In this...

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Main Authors: Shao-Hen Chiew, Kilian Poirier, Rajesh Mishra, Ulrike Bornheimer, Ewan Munro, Si Han Foon, Christopher Wanru Chen, Wei Sheng Lim, Chee Wei Nga
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Transactions on Quantum Engineering
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Online Access:https://ieeexplore.ieee.org/document/10502334/
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author Shao-Hen Chiew
Kilian Poirier
Rajesh Mishra
Ulrike Bornheimer
Ewan Munro
Si Han Foon
Christopher Wanru Chen
Wei Sheng Lim
Chee Wei Nga
author_facet Shao-Hen Chiew
Kilian Poirier
Rajesh Mishra
Ulrike Bornheimer
Ewan Munro
Si Han Foon
Christopher Wanru Chen
Wei Sheng Lim
Chee Wei Nga
author_sort Shao-Hen Chiew
collection DOAJ
description Multiobjective optimization is a ubiquitous problem that arises naturally in many scientific and industrial areas. Network routing optimization with multiobjective performance demands falls into this problem class, and finding good quality solutions at large scales is generally challenging. In this work, we develop a scheme with which near-term quantum computers can be applied to solve multiobjective combinatorial optimization problems. We study the application of this scheme to the network routing problem in detail, by first mapping it to the multiobjective shortest-path problem. Focusing on an implementation based on the quantum approximate optimization algorithm (QAOA)—the go-to approach for tackling optimization problems on near-term quantum computers—we examine the Pareto plot that results from the scheme and qualitatively analyze its ability to produce Pareto-optimal solutions. We further provide theoretical and numerical scaling analyses of the resource requirements and performance of QAOA and identify key challenges associated with this approach. Finally, through Amazon Braket, we execute small-scale implementations of our scheme on the IonQ Harmony 11-qubit quantum computer.
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institution Kabale University
issn 2689-1808
language English
publishDate 2024-01-01
publisher IEEE
record_format Article
series IEEE Transactions on Quantum Engineering
spelling doaj-art-ac2c5a347a784832883342a7c3216ac22025-01-25T00:03:31ZengIEEEIEEE Transactions on Quantum Engineering2689-18082024-01-01511910.1109/TQE.2024.338675310502334Multiobjective Optimization and Network Routing With Near-Term Quantum ComputersShao-Hen Chiew0https://orcid.org/0000-0003-3398-087XKilian Poirier1https://orcid.org/0009-0000-5105-8083Rajesh Mishra2https://orcid.org/0009-0005-4410-1940Ulrike Bornheimer3https://orcid.org/0009-0005-0100-0912Ewan Munro4https://orcid.org/0000-0002-8928-4032Si Han Foon5Christopher Wanru Chen6Wei Sheng Lim7https://orcid.org/0009-0008-8777-0396Chee Wei Nga8Entropica Labs, SingaporeEntropica Labs, SingaporeEntropica Labs, SingaporeEntropica Labs, SingaporeEntropica Labs, SingaporeDefence Science and Technology Agency, SingaporeDefence Science and Technology Agency, SingaporeDefence Science and Technology Agency, SingaporeDefence Science and Technology Agency, SingaporeMultiobjective optimization is a ubiquitous problem that arises naturally in many scientific and industrial areas. Network routing optimization with multiobjective performance demands falls into this problem class, and finding good quality solutions at large scales is generally challenging. In this work, we develop a scheme with which near-term quantum computers can be applied to solve multiobjective combinatorial optimization problems. We study the application of this scheme to the network routing problem in detail, by first mapping it to the multiobjective shortest-path problem. Focusing on an implementation based on the quantum approximate optimization algorithm (QAOA)—the go-to approach for tackling optimization problems on near-term quantum computers—we examine the Pareto plot that results from the scheme and qualitatively analyze its ability to produce Pareto-optimal solutions. We further provide theoretical and numerical scaling analyses of the resource requirements and performance of QAOA and identify key challenges associated with this approach. Finally, through Amazon Braket, we execute small-scale implementations of our scheme on the IonQ Harmony 11-qubit quantum computer.https://ieeexplore.ieee.org/document/10502334/Approximation algorithmshardwarenetworksoptimizationquantum circuitquantum computing
spellingShingle Shao-Hen Chiew
Kilian Poirier
Rajesh Mishra
Ulrike Bornheimer
Ewan Munro
Si Han Foon
Christopher Wanru Chen
Wei Sheng Lim
Chee Wei Nga
Multiobjective Optimization and Network Routing With Near-Term Quantum Computers
IEEE Transactions on Quantum Engineering
Approximation algorithms
hardware
networks
optimization
quantum circuit
quantum computing
title Multiobjective Optimization and Network Routing With Near-Term Quantum Computers
title_full Multiobjective Optimization and Network Routing With Near-Term Quantum Computers
title_fullStr Multiobjective Optimization and Network Routing With Near-Term Quantum Computers
title_full_unstemmed Multiobjective Optimization and Network Routing With Near-Term Quantum Computers
title_short Multiobjective Optimization and Network Routing With Near-Term Quantum Computers
title_sort multiobjective optimization and network routing with near term quantum computers
topic Approximation algorithms
hardware
networks
optimization
quantum circuit
quantum computing
url https://ieeexplore.ieee.org/document/10502334/
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AT ewanmunro multiobjectiveoptimizationandnetworkroutingwithneartermquantumcomputers
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