Quantum Fisher Information for Density Matrices with Arbitrary Ranks

被引：101

作者：

Liu Jing ^{[1
]}

Jing Xiao-Xing ^{[1
]}

Zhong Wei ^{[1
]}

Wang Xiao-Guang ^{[1
]}

机构：

[1] Zhejiang Univ, Zhejiang Inst Modern Phys, Dept Phys, Hangzhou 310027, Zhejiang, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2014年 / 61卷 / 01期

基金：

中国国家自然科学基金;

关键词：

quantum Fisher information; quantum metrology; density matrix; STATISTICAL DISTANCE; ENHANCED METROLOGY; STATES; LIMIT;

D O I：

10.1088/0253-6102/61/1/08

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We provide a new expression of the quantum Fisher information (QFI) for a general system. Utilizing this expression, the QFI for a non-full rank density matrix is only determined by its support. This expression can bring convenience for an infinite-dimensional density matrix with a finite support. Besides, a matrix representation of the QFI is also given.

引用

页码：45 / 50

页数：6

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