Assessing Quantum Annealing to Solve the Minimum Vertex Multicut

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 Cybersecurity in telecommunication networks often leads to hard combinatorial optimization problems that are challenging to solve with classical methods. This work investigates the practical feasibility of using quantum annealing to address the Restricted Vertex Minimum Multicut Problem. The problem is formulated as a Quadratic Unconstrained Binary Optimization model and implemented on D-Wave s quantum annealer. Rather than focusing on solution quality alone, we analyze key aspects of the quantum workflow including minor embedding techniques, chain length, topology constraints, chain strength selection, unembedding procedures, and postprocessing. Our results show that quantum annealing faces substantial hardware-level constraints limitations in embedding and scalability, especially for large instances, while hybrid quantum-classical solvers provide improved feasibility. This study offers a realistic assessment of the D-Wave system s current capabilities and identifies crucial parameters that govern the success of quantum optimization in cybersecurity-related network problems.
format Preprint
id arxiv_https___arxiv_org_abs_2601_00711
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Assessing Quantum Annealing to Solve the Minimum Vertex Multicut
Abbassi, Ali
Dujardin, Yann
Gourdin, Eric
Lacomme, Philippe
Prodhon, Caroline
Quantum Physics
Emerging Technologies
Cybersecurity in telecommunication networks often leads to hard combinatorial optimization problems that are challenging to solve with classical methods. This work investigates the practical feasibility of using quantum annealing to address the Restricted Vertex Minimum Multicut Problem. The problem is formulated as a Quadratic Unconstrained Binary Optimization model and implemented on D-Wave s quantum annealer. Rather than focusing on solution quality alone, we analyze key aspects of the quantum workflow including minor embedding techniques, chain length, topology constraints, chain strength selection, unembedding procedures, and postprocessing. Our results show that quantum annealing faces substantial hardware-level constraints limitations in embedding and scalability, especially for large instances, while hybrid quantum-classical solvers provide improved feasibility. This study offers a realistic assessment of the D-Wave system s current capabilities and identifies crucial parameters that govern the success of quantum optimization in cybersecurity-related network problems.
title Assessing Quantum Annealing to Solve the Minimum Vertex Multicut
topic Quantum Physics
Emerging Technologies
url https://arxiv.org/abs/2601.00711