Trace inequalities on a generalized Wigner-Yanase skew information

被引：29
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
收藏
页码：179 / 185
页数：7
相关论文
共 9 条
[1]   Some inequalities for norms on matrices and operators [J].
Bourin, JC .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 292 (1-3) :139-154
[2]   A trace inequality arising from quantum information theory [J].
Fujii, JI .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 400 :141-146
[3]  
Heisenberg W., 1927, Zeitschrift fr Physik, V43, P172, DOI [DOI 10.1007/BF01397280, 10.1007/BF01397280]
[4]   Matrix trace inequalities related to uncertainty principle [J].
Kosaki, H .
INTERNATIONAL JOURNAL OF MATHEMATICS, 2005, 16 (06) :629-645
[5]   CONVEX TRACE FUNCTIONS AND WIGNER-YANASE-DYSON CONJECTURE [J].
LIEB, EH .
ADVANCES IN MATHEMATICS, 1973, 11 (03) :267-288
[6]   On Skew information (vol 50, pg 1778, 2004) [J].
Luo, S ;
Zhang, Q .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (12) :4432-4432
[7]   Heisenberg uncertainty relation for mixed states [J].
Luo, SL .
PHYSICAL REVIEW A, 2005, 72 (04)
[8]   INFORMATION CONTENTS OF DISTRIBUTIONS [J].
WIGNER, EP ;
YANASE, MM .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1963, 49 (06) :910-&
[9]   A generalized Skew information and uncertainty relation [J].
Yanagi, K ;
Furuichi, S ;
Kuriyama, K .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (12) :4401-4404
1