INEQUALITIES OF OPERATOR VALUED QUANTUM SKEW INFORMATION

被引：0
|
作者：
Choi, Byoung Jin [1 ]
Lee, Mi Ra [2 ]
机构：
[1] Jeju Natl Univ, Dept Math Educ, Jeju 63243, South Korea
[2] Chungbuk Natl Univ, Dept Math, Cheongju 28644, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2021年 / 58卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Uncertainty relation; Wigner-Yanase-Dyson skew information; module operator; SCHRODINGER UNCERTAINTY RELATION;
D O I：
10.4134/BKMS.b191089
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study two operator-valued inequalities for quantum Wigner-Yanase-Dyson skew information related to module operators. These are extended results of the trace inequalities for Wigner-Yanase-Dyson skew information. Moreover, we study a sufficient condition to prove an uncertainty relation for operator-valued generalized quantum Wigner-Yanase-Dyson skew information related to module operators and a pair of functions (f,g). Also, we obtain several previous results of scalar-valued cases as a consequence of our main result.
引用
收藏
页码：59 / 70
页数：12
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