Uncertainty principle with quantum Fisher information

被引：16

作者：

Andai, Attila ^{[1
]}

机构：

[1] RIKEN, BSI, Amari Res Unit, Wako, Saitama 3510198, Japan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 01期

基金：

日本学术振兴会; 匈牙利科学研究基金会;

关键词：

D O I：

10.1063/1.2830429

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we prove a lower bound for the determinant of the covariance matrix of quantum mechanical observables, which was conjectured by Gibilisco and has the interpretation of uncertainty. The lower bound is given in terms of the commutator of the state and the observables and quantum Fisher information (generated by an operator monotone function). (c) 2008 American Institute of Physics.

引用

页数：7

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