Advantages of fixing spins in quantum annealing

Fuente: arXiv
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Main Authors: Hattori, Tomohiro, Irie, Hirotaka, Kadowaki, Tadashi, Tanaka, Shu
Format: Preprint
Published: 2024
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author Hattori, Tomohiro
Irie, Hirotaka
Kadowaki, Tadashi
Tanaka, Shu
author_facet Hattori, Tomohiro
Irie, Hirotaka
Kadowaki, Tadashi
Tanaka, Shu
contents Quantum annealing can efficiently obtain solutions to combinatorial optimization problems. Size-reduction methods are used to treat large-scale combinatorial optimization problems that cannot be input directly into a quantum annealer because of its size limitation. Various size-reduction methods using fixing spins have been proposed as quantum-classical hybrid methods to obtain solutions. However, the high performance of these hybrid methods is yet to be clearly elucidated. In this study, we adopted a parameterized fixing spins method to verify the effects of fixing spins. The results revealed that setting the appropriate number of spins of the subproblem is crucial for obtaining a satisfactory solution, and the energy gap expansion is confirmed after fixing spins.
format Preprint
id arxiv_https___arxiv_org_abs_2410_21924
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Advantages of fixing spins in quantum annealing
Hattori, Tomohiro
Irie, Hirotaka
Kadowaki, Tadashi
Tanaka, Shu
Statistical Mechanics
Quantum Physics
Quantum annealing can efficiently obtain solutions to combinatorial optimization problems. Size-reduction methods are used to treat large-scale combinatorial optimization problems that cannot be input directly into a quantum annealer because of its size limitation. Various size-reduction methods using fixing spins have been proposed as quantum-classical hybrid methods to obtain solutions. However, the high performance of these hybrid methods is yet to be clearly elucidated. In this study, we adopted a parameterized fixing spins method to verify the effects of fixing spins. The results revealed that setting the appropriate number of spins of the subproblem is crucial for obtaining a satisfactory solution, and the energy gap expansion is confirmed after fixing spins.
title Advantages of fixing spins in quantum annealing
topic Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2410.21924