Remainder terms for some quantum entropy inequalities

被引：24

作者：

Carlen, Eric A. ^{[1
,2
,3
]}

Lieb, Elliott H. ^{[1
,2
,3
]}

机构：

[1] Rutgers State Univ, Hill Ctr, Dept Math, Piscataway, NJ 08854 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[3] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2014年 / 55卷 / 04期

基金：

美国国家科学基金会;

关键词：

TRACE FUNCTIONS; SUBADDITIVITY; CONVEXITY;

D O I：

10.1063/1.4871575

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality. (C) 2014 AIP Publishing LLC.

引用

页数：5

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