Bounds on quantum multiple-parameter estimation with Gaussian state

被引：47

作者：

Gao, Yang ^{[1
]}

Lee, Hwang ^{[2
,3
]}

机构：

[1] Xinyang Normal Univ, Dept Phys, Xinyang 464000, Henan, Peoples R China

[2] Louisiana State Univ, Hearne Inst Theoret Phys, Baton Rouge, LA 70803 USA

[3] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

来源：

EUROPEAN PHYSICAL JOURNAL D | 2014年 / 68卷 / 11期

关键词：

OBSERVABLES;

D O I：

10.1140/epjd/e2014-50560-1

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate the quantum Cramer-Rao bounds on the joint multiple-parameter estimation with the Gaussian state as a probe. We derive the explicit right logarithmic derivative and symmetric logarithmic derivative operators in such a situation. We compute the corresponding quantum Fisher information matrices, and find that they can be fully expressed in terms of the mean displacement and covariance matrix of the Gaussian state. Finally, we give some examples to show the utility of our analytical results.

引用

页数：7

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