Trace inequalities on a generalized Wigner-Yanase skew information

被引：28

作者：

Furuichi, S. ^{[1
]}

Yanagi, K. ^{[2
]}

Kuriyama, K. ^{[2
]}

机构：

[1] Nihon Univ, Coll Humanities & Sci, Dept Comp Sci & Syst Anal, Setagaya Ku, Tokyo 1568550, Japan

[2] Yamaguchi Univ, Grad Sch Sci & Engn, Div Appl Math Sci, Ube, Yamaguchi 7550811, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 356卷 / 01期

关键词：

Trace inequality; Wigner-Yanase skew information; Wigner-Yanase-Dyson skew information and uncertainty relation;

D O I：

10.1016/j.jmaa.2009.02.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a generalized Wigner-Yanase skew information and then derive the trace inequality related to the uncertainty relation. This inequality is a non-trivial generalization of the uncertainty relation derived by S. Luo for the quantum uncertainty quantity excluding the classical Mixture. In addition, several trace inequalities on our generalized Wigner-Yanase skew information are argued. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：179 / 185

页数：7

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