arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2108.05901quant-ph
收藏

基于热力学长度的贝叶斯量子测温

Bayesian quantum thermometry based on thermodynamic length

Mathias R. Jørgensen, Jan Kołodyński, Mohammad Mehboudi, Martí Perarnau-Llobet, Jonatan B. Brask

摘要:

在这项工作中,我们提出了量子系统的温度估计理论,这是适用于不可忽略的先验温度不确定性和有限的测量数据的制度。在这种情况下,建立一个定义良好的估计精度的措施的问题变得非平凡的,此外,建设一个合适的标准,最佳的测量设计必须重新审查,以考虑到先前的不确定性。我们提出了一个完全贝叶斯方法的热力学长度的概念,解决了这两个问题的基础上的温度估计。作为这个框架的一个例子,我们考虑热自旋$1/2$粒子和调查两种情况之间的根本区别,一方面,当自旋探测的温度的热库,另一方面,当自旋本身构成的样品。

英文摘要:

In this work, we propose a theory of temperature estimation of quantum systems, which is applicable in the regime of non-negligible prior temperature uncertainty and limited measurement data. In this regime the problem of establishing a well-defined measure of estimation precision becomes non-trivial, and furthermore the construction of a suitable criterion for optimal measurement design must be re-examined to account for the prior uncertainty. We propose a fully Bayesian approach to temperature estimation based on the concept of thermodynamic length, which solves both these problems. As an illustration of this framework, we consider thermal spin-$1/2$ particles and investigate the fundamental difference between two cases; on the one hand, when the spins are probing the temperature of a heat reservoir and, on the other, when the spins themselves constitute the sample.

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。

↑