论文标题

关于热力学合奏的基本信息含量

On the elementary information content of thermodynamic ensembles

论文作者

Bernardini, Alex E.

论文摘要

将相位空间(Wigner)量子投影仪的定义扩展到热力学合奏通常会导致有效的平台,以量化其基本信息内容。鉴于热量子系统的光谱分解曲线,量子纯度量化器的一般表达式,$ \ MATHCAL {P}(β)$以及与量子保真度相关的相位投影仪,$ \ MATHCAL {F}(β)$,是根据与相关的相关分配的明确导出的, $ \ MATHCAL {Z}(β)$。除了量化热力学合奏的信息能力的存储外,此处引入的工具还扩展了分区函数在表达热力学集合的量子行为中的作用。

Extending the definition of phase-space (Wigner) quantum projectors to thermodynamic ensembles usually results into an efficient platform for quantifying their elementary information content. Given the spectral decomposition profile of a thermalized quantum system, general expressions for the quantum purity quantifier, $\mathcal{P}(β)$, and for phase-space projectors related to the quantum fidelity, $\mathcal{F}(β)$, are explicitly derived in terms of an explicit correspondence with the related partition function, $\mathcal{Z}(β)$. Besides quantifying the storage of information capacity of thermodynamical ensembles, the tools here introduced extend the role of the partition function in expressing the quantum behavior of thermodynamic ensembles.

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