Quantum Fisher Information for Density Matrices with Arbitrary Ranks

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. B...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 61; no. 1; pp. 45 - 50
Main Author 刘京 井晓辛 钟伟 王晓光
Format Journal Article
LanguageEnglish
Published 2014
Subjects
Density
Fisher信息
Mathematical analysis
Matrix representation
Theoretical physics
密度矩阵
无限维
矩阵的秩
矩阵表示
表达式
通用系统
量子
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Summary: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.
Bibliography: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.
LIU Jing , JING Xiao-Xing , ZHONG Wei , and WANG Xiao-Guang Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
11-2592/O3
quantum Fisher information, quantum metrology, density matrix
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/61/1/08