摘要翻译：
我们提出了一种新的方法来研究$d$维经典系统的热力学性质，把这个问题归结为一个$d$维量子模型的基态性质的计算。这种经典到量子的映射允许我们在平等的基础上处理标准的优化方法，如模拟退火和量子退火。因此，我们将量子退火方法推广到有限温度下的经典系统。利用量子力学的绝热定理，我们导出了保证收敛到最优热力学状态的速率。对于模拟退火和量子退火，我们分别得到了温度和磁场的渐近速率$t(t)\pn)/(k_B\log t)$和$\gamma(t)\Nt\{-\bar{c}/N}$。还讨论了其他退火策略，以及它们的潜在加速。
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英文标题：
《A Quantum Approach to Classical Statistical Mechanics》
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作者：
Rolando D. Somma, Cristian D. Batista, Gerardo Ortiz
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最新提交年份：
2006
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分类信息：

一级分类：Physics        物理学
二级分类：Quantum Physics        量子物理学
分类描述：Description coming soon
描述即将到来
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一级分类：Physics        物理学
二级分类：Other Condensed Matter        其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
  We present a new approach to study the thermodynamic properties of $d$-dimensional classical systems by reducing the problem to the computation of ground state properties of a $d$-dimensional quantum model. This classical-to-quantum mapping allows us to deal with standard optimization methods, such as simulated and quantum annealing, on an equal basis. Consequently, we extend the quantum annealing method to simulate classical systems at finite temperatures. Using the adiabatic theorem of quantum mechanics, we derive the rates to assure convergence to the optimal thermodynamic state. For simulated and quantum annealing, we obtain the asymptotic rates of $T(t) \approx (p N) /(k_B \log t)$ and $\gamma(t) \approx (Nt)^{-\bar{c}/N}$, for the temperature and magnetic field, respectively. Other annealing strategies, as well as their potential speed-up, are also discussed.
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PDF链接：
https://arxiv.org/pdf/quant-ph/0609216