A Note on Quantum Entropy

被引：2

作者：

Hansen, Frank ^{[1
]}

机构：

[1] Tohoku Univ, Inst Excellence Higher Educ, Sendai, Miyagi 980, Japan

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2016年 / 19卷 / 02期

基金：

美国国家科学基金会;

关键词：

Quantum entropy; Incremental information; Concavity;

D O I：

10.1007/s11040-016-9213-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Incremental information, as measured by the quantum entropy, is increasing when two ensembles are united. This result was proved by Lieb and Ruskai, and it is the foundation for the proof of strong subadditivity of quantum entropy. We present a truly elementary proof of this fact in the context of the broader family of matrix entropies introduced by Chen and Tropp.

引用

页数：4

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