Quantum Annealing for Combinatorial Optimization: A Benchmarking Study

Fuente: arXiv
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Autores principales: Kim, Seongmin, Ahn, Sang-Woo, Suh, In-Saeng, Dowling, Alexander W., Lee, Eungkyu, Luo, Tengfei
Formato: Preprint
Publicado: 2025
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author Kim, Seongmin
Ahn, Sang-Woo
Suh, In-Saeng
Dowling, Alexander W.
Lee, Eungkyu
Luo, Tengfei
author_facet Kim, Seongmin
Ahn, Sang-Woo
Suh, In-Saeng
Dowling, Alexander W.
Lee, Eungkyu
Luo, Tengfei
contents Quantum annealing (QA) has the potential to significantly improve solution quality and reduce time complexity in solving combinatorial optimization problems compared to classical optimization methods. However, due to the limited number of qubits and their connectivity, the QA hardware did not show such an advantage over classical methods in past benchmarking studies. Recent advancements in QA with more than 5,000 qubits, enhanced qubit connectivity, and the hybrid architecture promise to realize the quantum advantage. Here, we use a quantum annealer with state-of-the-art techniques and benchmark its performance against classical solvers. To compare their performance, we solve over 50 optimization problem instances represented by large and dense Hamiltonian matrices using quantum and classical solvers. The results demonstrate that a state-of-the-art quantum solver has higher accuracy (~0.013%) and a significantly faster problem-solving time (~6,561x) than the best classical solver. Our results highlight the advantages of leveraging QA over classical counterparts, particularly in hybrid configurations, for achieving high accuracy and substantially reduced problem solving time in large-scale real-world optimization problems.
format Preprint
id arxiv_https___arxiv_org_abs_2504_06201
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Annealing for Combinatorial Optimization: A Benchmarking Study
Kim, Seongmin
Ahn, Sang-Woo
Suh, In-Saeng
Dowling, Alexander W.
Lee, Eungkyu
Luo, Tengfei
Quantum Physics
Computational Engineering, Finance, and Science
Quantum annealing (QA) has the potential to significantly improve solution quality and reduce time complexity in solving combinatorial optimization problems compared to classical optimization methods. However, due to the limited number of qubits and their connectivity, the QA hardware did not show such an advantage over classical methods in past benchmarking studies. Recent advancements in QA with more than 5,000 qubits, enhanced qubit connectivity, and the hybrid architecture promise to realize the quantum advantage. Here, we use a quantum annealer with state-of-the-art techniques and benchmark its performance against classical solvers. To compare their performance, we solve over 50 optimization problem instances represented by large and dense Hamiltonian matrices using quantum and classical solvers. The results demonstrate that a state-of-the-art quantum solver has higher accuracy (~0.013%) and a significantly faster problem-solving time (~6,561x) than the best classical solver. Our results highlight the advantages of leveraging QA over classical counterparts, particularly in hybrid configurations, for achieving high accuracy and substantially reduced problem solving time in large-scale real-world optimization problems.
title Quantum Annealing for Combinatorial Optimization: A Benchmarking Study
topic Quantum Physics
Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2504.06201