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.
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页码：179 / 185
页数：7
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