On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information

被引：27

作者：

Gibilisco, P. ^{[2
]}

Isola, T. ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Roma Tor Vergata, Fac Econ, Dipartimento SEFEMEQ, I-00133 Rome, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 375卷 / 01期

关键词：

Heisenberg uncertainty relation; Wigner-Yanase-Dyson information; Operator monotone functions; Quantum Fisher information; INEQUALITIES;

D O I：

10.1016/j.jmaa.2010.09.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that an uncertainty relation proved by Luo and Yanagi and related to Wigner-Yanase-Dyson information cannot hold for an arbitrary quantum Fisher information. We show that, by changing a costant, a similar trace inequality holds in full generality. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：270 / 275

页数：6

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