arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1102.2025cond-mat.dis-nncond-mat.stat-mechquant-ph
收藏

量子退火中的非平衡功

Nonequilibrium work performed in quantum annealing

Masayuki Ohzeki, Hidestoshi Nishimori

摘要:

量子退火是经典优化问题的通用求解器,它充分利用了量子涨落。我们考虑工作统计的量子退火过程的重复,采用Jarzynski等式提出的非平衡统计物理。特别是,我们分析了横向场所做的工作的分布。在自旋玻璃理论中,一种特殊的对称性,规范对称性,导致了量子退火向不同目标之间的非平凡关系。我们相信,我们的结果将是一个替代实现有效的量子计算,以及我们更好地了解量子控制下的系统的非平衡行为的一步。

英文摘要:

Quantum annealing is a generic solver of classical optimization problems that makes full use of quantum fluctuations. We consider work statistics given by a repetition of quantum annealing processes by employing the Jarzynski equality proposed in nonequilibrium statistical physics. In particular, we analyze the distribution of the work performed by a transverse field. A special symmetry, gauge symmetry, leads to a non-trivial relationship between quantum annealing toward different targets in the theory of spin glasses. We believe that our results will be a step toward an alternative realization of efficient quantum computation as well as our better understanding of nonequilibrium behavior of systems under quantum control.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑