由相对熵引起的想象性度量

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2025-02-01 DOI:10.1016/S0034-4877(25)00003-5

Xiangyu Chen, Qiang Lei

引用次数: 0

摘要

本文介绍了想象力资源理论的两个测度。其中一个由α-z- rsamnyi相对熵导出，另一个由Tsallis相对算子熵导出，定义为正定密度矩阵。讨论了不同虚测度之间的关系及其性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Imaginarity Measures Induced by Relative Entropy

In this paper, we introduce two measures for the resource theory of imaginarity. One is induced by α-z-Rényi relative entropy and the other, defined for positive-definite density matrices, is induced by Tsallis relative operator entropy. The relationships between different imaginarity measures and their properties are also discussed.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.