Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations

被引：48

作者：

Gibilisco, Paolo ^{[1
]}

Hiai, Fumio ^{[2
]}

Petz, Denes ^{[3
]}

机构：

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

[2] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan

[3] Alfred Renyi Inst Math, H-1364 Budapest, Hungary

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2009年 / 55卷 / 01期

关键词：

Generalized variance; operator monotone functions; quantum covariance; quantum Fisher information; uncertainty principle; SKEW INFORMATION; PRINCIPLE; OBSERVABLES;

D O I：

10.1109/TIT.2008.2008142

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the relation between quantum covariances and quantum Fisher informations is studied. This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information. The proof given here considerably simplifies the previously proposed proofs and leads to more general inequalities.

引用

页码：439 / 443

页数：5

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