Trace inequalities on a generalized Wigner-Yanase skew information

被引：26

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

共 50 条

[1] Comments on conjectures of trace inequalities on a generalized Wigner-Yanase skew information
Ko, Chul Ki
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (01) : 164 - 167
[2] A generalized Wigner-Yanase skew information
Dhanoa, Rupinderjit Kaur
Moslehian, Mohammad Sal
Singh, Mandeep
[J]. LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (10): : 1720 - 1729
[3] Generalized Wigner-Yanase Skew Information And Generalized Fisher Information
Yanagi, Kenjiro
Furuichi, Shigeru
Kuriyama, Ken
[J]. 2008 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS, VOLS 1-3, 2008, : 455 - +
[4] Generalized Wigner-Yanase skew information and the affiliated inequality
Yang, Ma-Cheng
Qiao, Cong-Feng
[J]. PHYSICAL REVIEW A, 2022, 106 (05)
[5] Trace inequalities based on two-parameter extended Wigner-Yanase skew information
Zhang, Zhihua
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 497 (01)
[6] Concurrence and Wigner-Yanase skew information
Tang, L
Chen, ZQ
[J]. CHINESE PHYSICS LETTERS, 2006, 23 (03) : 542 - 544
[7] Two generalized Wigner-Yanase skew information and their uncertainty relations
Chen, Zheng-Li
Liang, Li-Li
Li, Hao-Jing
Wang, Wen-Hua
[J]. QUANTUM INFORMATION PROCESSING, 2016, 15 (12) : 5107 - 5118
[8] Wigner-Yanase skew information and uncertainty relations
Luo, SL
[J]. PHYSICAL REVIEW LETTERS, 2003, 91 (18)
[9] Wigner function, Wigner-Yanase skew information, and parity asymmetry
Zhang, Yue
Luo, Shunlong
[J]. PHYSICS LETTERS A, 2021, 395
[10] Quantifying correlations via the Wigner-Yanase skew information
Luo, Shunlong
Fu, Shuangshuang
Oh, Choo Hiap
[J]. PHYSICAL REVIEW A, 2012, 85 (03):

← 1 2 3 4 5 →