Matrix trace inequalities on Tsallis relative entropy of negative order

被引：8

作者：

Seo, Yuki ^{[1
]}

机构：

[1] Osaka Kyoiku Univ, Dept Math Educ, Kashiwara, Osaka 5828582, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 472卷 / 02期

关键词：

Tsallis relative entropy; Relative operator entropy; Quasi geometric mean; Positive definite matrix;

D O I：

10.1016/j.jmaa.2018.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show matrix trace inequalities on the quantum Tsallis relative entropy of negative order, which includes the quasi geometric mean of positive definite matrices. Moreover, we show an estimate of the difference between two Tsallis relative entropies of negative order. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1499 / 1508

页数：10

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