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
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
收藏
页码:45 / 50
页数:6
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