Quantum Fisher Information for Density Matrices with Arbitrary Ranks

被引:102
|
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
相关论文
共 50 条
  • [41] Quantum Fisher information in noninertial frames
    Yao, Yao
    Xiao, Xing
    Ge, Li
    Wang, Xiao-guang
    Sun, Chang-pu
    PHYSICAL REVIEW A, 2014, 89 (04):
  • [42] Quantum Fisher information and uncertainty relations
    Luo, SL
    LETTERS IN MATHEMATICAL PHYSICS, 2000, 53 (03) : 243 - 251
  • [43] Fidelity and Fisher information on quantum channels
    Yuan, Haidong
    Fung, Chi-Hang Fred
    NEW JOURNAL OF PHYSICS, 2017, 19
  • [44] Quantum Fisher Information and Uncertainty Relations
    Shunlong Luo
    Letters in Mathematical Physics, 2000, 53 : 243 - 251
  • [45] Spin Squeezing and Quantum Fisher Information in Generalized Two-Axis Twisting Model
    Jiang, Yan-Hu
    Li, Song-Song
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2013, 52 (08) : 2826 - 2832
  • [46] Uncertainty principle and quantum Fisher information
    Gibilisco, Paolo
    Isola, Tommaso
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2007, 59 (01) : 147 - 159
  • [47] Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations
    Gibilisco, Paolo
    Hiai, Fumio
    Petz, Denes
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (01) : 439 - 443
  • [48] Chaos and quantum Fisher information in the quantum kicked top
    王晓茜
    马健
    张喜和
    王晓光
    Chinese Physics B, 2011, 20 (05) : 203 - 207
  • [49] Protecting Quantum Fisher Information in Correlated Quantum Channels
    Hu, Ming-Liang
    Wang, Hui-Fang
    ANNALEN DER PHYSIK, 2020, 532 (01)
  • [50] Operational Interpretation of Quantum Fisher Information in Quantum Thermodynamics
    Marvian, Iman
    PHYSICAL REVIEW LETTERS, 2022, 129 (19)