Quantifying the quantumness of ensembles via generalized α-z-relative rényi entropy

被引：0

作者：

Huaijing Huang

Zhaoqi Wu

Chuanxi Zhu

Shao-Ming Fei

机构：

[1] Nanchang University,Department of Mathematics

[2] Capital Normal University,School of Mathematical Sciences

[3] Max-Planck-Institute for Mathematics in the Sciences,undefined

来源：

International Journal of Theoretical Physics | 2021年 / 60卷

关键词：

Generalized ; -; -relative Rényi entropy; Quantumness; Quantum ensemble; Quantum coherence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Quantifying the quantumness of ensembles is a vital and practical task in quantum information theory. In this paper, we quantify the quantumness of quantum ensembles based on a quantifier of the coherence of ensembles via generalized α-z-relative Rényi entropy. It is shown that this measure satisfies the intuitive and desirable properties which are required by a measure of quantumness, such as positivity, unitary invariance, monotonicity under any commutativity preserving operations and so on. The relationship between our measure and some existing measures for quantumness of quantum ensembles is discussed. Detailed examples are presented to some important ensembles to illustrate the quantumness given by our measure.

引用

页码：2368 / 2379

页数：11

共 44 条

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[39] Quantifying quantum coherence based on the generalized α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}–z-relative Re´\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\acute{e}$$\end{document}nyi entropy
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[40] α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}-z-Rényi relative entropy related quantities and their preservers
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