Statistics of the number of defects after quantum annealing in a thermal environment
Statistics of the number of defects after quantum annealing in a thermal environment
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DOI：
10.1098/rsta.2021.0411
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发表时间：
2023-01-23
期刊：
影响因子：
5
通讯作者：
Shibata, Naokazu
中科院分区：
文献类型：
--
作者：
Suzuki, Sei;Oshiyama, Hiroki;Shibata, Naokazu
研究了与玻色热浴耦合的一维横向伊辛模型中量子退火所产生的扭结数的统计特性。利用冻结原子在热环境中进行量子退火，给出了扭结数分布的二阶累积量与一阶累积量之比与平均扭结密度的关系。用我们最近提出的非马尔可夫无限时间演化块抽取算法进行数值模拟，充分验证了理论结果。本文是《量子退火法与计算：挑战与前景》主题的一部分。
We study the statistics of the kink number generated by quantum annealing in a one-dimensional transverse Ising model coupled to a bosonic thermal bath. Using the freezing ansatz for quantum annealing in the thermal environment, we show the relation between the ratio of the second to the first cumulant of the kink number distribution and the average kink density. The theoretical result is confirmed thoroughly by numerical simulation using the non-Markovian infinite time-evolving block decimation which we proposed recently. The simulation using D-Wave's quantum annealer is also discussed.This article is part of the theme issue 'Quantum annealing and computation: challenges and perspectives'.