Monotonicity of quantum relative entropy revisited

被引：137

作者：

Petz, D ^{[1
]}

机构：

[1] Budapest Univ Technol & Econ, Dept Math Anal, H-1521 Budapest XI, Hungary

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2003年 / 15卷 / 01期

基金：

匈牙利科学研究基金会;

关键词：

quantum states; relative entropy; strong subadditivity; coarse-graining; Uhlmann's theorem; alpha-entropy;

D O I：

10.1142/S0129055X03001576

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Monotonicity under coarse-graining is a crucial property of the quantum relative entropy. The aim of this paper is to investigate the condition of equality in the monotonicity theorem and in its consequences as the strong sub-additivity of von Neumann entropy, the Golden-Thompson trace inequality and the monotonicity of the Holevo quantitity. The relation to quantum Markov states is briefly indicated.

引用

页码：79 / 91

页数：13

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