Quantum Approaches to the Minimum Edge Multiway Cut Problem

Fuente: arXiv
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Hauptverfasser: Abbassi, Ali, Dujardin, Yann, Gourdin, Eric, Lacomme, Philippe, Prodhon, Caroline
Format: Preprint
Veröffentlicht: 2026
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author Abbassi, Ali
Dujardin, Yann
Gourdin, Eric
Lacomme, Philippe
Prodhon, Caroline
author_facet Abbassi, Ali
Dujardin, Yann
Gourdin, Eric
Lacomme, Philippe
Prodhon, Caroline
contents We investigate the minimum edge multiway cut problem, a fundamental task in evaluating the resilience of telecommunication networks. This study benchmarks the problem across three quantum computing paradigms: quantum annealing on a D-Wave quantum processing unit, photonic variational quantum circuits simulated on Quandela s Perceval platform, and IBM s gate-based Quantum Approximate Optimization Algorithm (QAOA). We assess the comparative feasibility of these approaches for early-stage quantum optimization, highlighting trade-offs in circuit constraints, encoding overhead, and scalability. Our findings suggest that quantum annealing currently offers the most scalable performance for this class of problems, while photonic and gate-based approaches remain limited by hardware and simulation depth. These results provide actionable insights for designing quantum workflows targeting combinatorial optimization in telecom security and resilience analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2601_00720
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum Approaches to the Minimum Edge Multiway Cut Problem
Abbassi, Ali
Dujardin, Yann
Gourdin, Eric
Lacomme, Philippe
Prodhon, Caroline
Quantum Physics
Discrete Mathematics
We investigate the minimum edge multiway cut problem, a fundamental task in evaluating the resilience of telecommunication networks. This study benchmarks the problem across three quantum computing paradigms: quantum annealing on a D-Wave quantum processing unit, photonic variational quantum circuits simulated on Quandela s Perceval platform, and IBM s gate-based Quantum Approximate Optimization Algorithm (QAOA). We assess the comparative feasibility of these approaches for early-stage quantum optimization, highlighting trade-offs in circuit constraints, encoding overhead, and scalability. Our findings suggest that quantum annealing currently offers the most scalable performance for this class of problems, while photonic and gate-based approaches remain limited by hardware and simulation depth. These results provide actionable insights for designing quantum workflows targeting combinatorial optimization in telecom security and resilience analysis.
title Quantum Approaches to the Minimum Edge Multiway Cut Problem
topic Quantum Physics
Discrete Mathematics
url https://arxiv.org/abs/2601.00720