Proof of Avoidability of the Quantum First-Order Transition in Transverse Magnetization in Quantum Annealing of Finite-Dimensional Spin Glasses

IF 1.3 3区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
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引用次数: 0

Abstract

It is rigorously shown that an appropriate quantum annealing for any finite-dimensional spin system has no quantum first-order transition in transverse magnetization. This result can be applied to finite-dimensional spin-glass systems, where the ground state search problem is known to be hard to solve. Consequently, it is strongly suggested that the quantum first-order transition in transverse magnetization is not fatal to the difficulty of combinatorial optimization problems in quantum annealing.

有限维自旋玻璃量子退火中横向磁化量子一阶转变的可避免性证明
摘要 本文严格证明,任何有限维自旋系统的适当量子退火在横向磁化中都没有量子一阶转变。这一结果可应用于已知难以解决基态搜索问题的有限维自旋玻璃系统。因此,我们强烈建议,横向磁化的量子一阶转变对量子退火中组合优化问题的难度并不是致命的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Statistical Physics
Journal of Statistical Physics 物理-物理:数学物理
CiteScore
3.10
自引率
12.50%
发文量
152
审稿时长
3-6 weeks
期刊介绍: The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.
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