Trace inequalities on a generalized Wigner-Yanase skew information

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:356

Article

Furuichi, S.¹  Yanagi, K.²  Kuriyama, K.² 

[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

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

DOI  :  10.1016/j.jmaa.2009.02.043

来源: Elsevier

【 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.

【 授权许可】

Free