Quantum Fisher Information and Uncertainty Relations

被引：0

作者：

Shunlong Luo

机构：

[1] Chinese Academy of Sciences,Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences

来源：

Letters in Mathematical Physics | 2000年 / 53卷

关键词：

von Neumann equation; quantum Fisher information; quantum measurement; uncertainty relations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is well known that the Cramér–Rao inequality places a lower bound for quantum Fisher information in terms of the variance of any quantum measurement. We establish an upper bound for quantum Fisher information of a parameterized family of density operators in terms of the variance of the generator. These two bounds together yield a generalization of the Heisenberg uncertainty relations from statistical estimation perspective.

引用

页码：243 / 251

页数：8

共 7 条

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