论文标题

量子退火器的热力学

Thermodynamics of a Quantum Annealer

论文作者

Buffoni, Lorenzo, Campisi, Michele

论文摘要

D-Wave处理器是一种部分可控制的开放量子系统,可将能量与周围环境(以热的形式)和外部依赖性控制场(以工作形式)交换。尽管很少有人认为,但它是一台热力学机器。在这里,我们从热力学的角度研究了D波量子退火器的特性。我们通过开放式访问云服务器LEAP在D-WAVE 2000Q上进行了许多反向电动实验,目的是了解机器执行哪种类型的热操作,并量化其伴随的耗散程度,以及其交换的热量和工作量和工作量。鉴于人们只能在处理器中发生的总体能量变化(这是热量和收到的工作之和),因此后者是一项艰巨的任务。但是,非平衡热力学的最新结果(即波动定理和热力学不确定性关系),可以计算平均熵产生(量化耗散程度)以及平均热量和工作交流的下限。对收集的实验数据的分析表明,1)在反向退火过程中,D-Wave处理器充当热加速器,2)其进化涉及随着横向场的增加而增加的耗散量。

The D-wave processor is a partially controllable open quantum system which exchanges energy with its surrounding environment (in the form of heat) and with the external time dependent control fields (in the form of work). Despite being rarely thought as such, it is a thermodynamic machine. Here we investigate the properties of the D-Wave quantum annealers from a thermodynamical perspective. We performed a number of reverse-annealing experiments on the D-Wave 2000Q via the open access cloud server Leap, with the aim of understanding what type of thermal operation the machine performs, and quantifying the degree of dissipation that accompanies it, as well as the amount of heat and work that it exchanges. The latter is a challenging task in view of the fact that one can experimentally access only the overall energy change occurring in the processor, (which is the sum of heat and work it receives). However, recent results of non-equilibrium thermodynamics(namely, the fluctuation theorem and the thermodynamic uncertainty relations), allow to calculate lower bounds on the average entropy production (which quantifies the degree of dissipation) as well as the average heat and work exchanges. The analysis of the collected experimental data shows that 1) in a reverse annealing process the D-Wave processor works as a thermal accelerator and 2) its evolution involves an increasing amount of dissipation with increasing transverse field.

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