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
  • [31] Enhancing quantum Fisher information by utilizing uncollapsing measurements
    He, Juan
    Ding, Zhi-Yong
    Ye, Liu
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 457 : 598 - 606
  • [32] Quantum Fisher Information Gap for Systems with Nonlinear Hamiltonians
    Liu, Bo
    Huang, Yi-Xiao
    Wang, Xiao-Guang
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (01) : 43 - 48
  • [33] Optimal witnessing of the quantum Fisher information with few measurements
    Apellaniz, Iagoba
    Kleinmann, Matthias
    Guehne, Otfried
    Toth, Geza
    PHYSICAL REVIEW A, 2017, 95 (03)
  • [34] Quantum Fisher information and coherence of an atom in a dissipative cavity
    Yang, Jianhe
    Lin, Danping
    Liu, Rongfang
    Zou, Hong-Mei
    LASER PHYSICS, 2020, 30 (04)
  • [35] Quantum Fisher Information of a 3-Qubit State
    Yi, Xiao-jie
    Huang, Guo-qiang
    Wang, Jian-Min
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2012, 51 (11) : 3458 - 3463
  • [36] Quantum Fisher Information Gap for Systems with Nonlinear Hamiltonians
    刘博
    黄奕筱
    王晓光
    CommunicationsinTheoreticalPhysics, 2019, 71 (01) : 43 - 48
  • [37] Control methods for improved Fisher information with quantum sensing
    Gefen, Tuvia
    Jelezko, Fedor
    Retzker, Alex
    PHYSICAL REVIEW A, 2017, 96 (03)
  • [38] Quantum Fisher Information of Several Qubitsin the Superposition of A GHZ and two W Stateswith Arbitrary Relative Phase
    Fatih Ozaydin
    Azmi Ali Altintas
    Sinan Bugu
    Can Yesilyurt
    Metin Arik
    International Journal of Theoretical Physics, 2014, 53 : 3219 - 3225
  • [39] Quantum Fisher Information of Several Qubitsin the Superposition of A GHZ and two W Stateswith Arbitrary Relative Phase
    Ozaydin, Fatih
    Altintas, Azmi Ali
    Bugu, Sinan
    Yesilyurt, Can
    Arik, Metin
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2014, 53 (09) : 3219 - 3225
  • [40] Uncertainty principle and quantum Fisher information
    Paolo Gibilisco
    Tommaso Isola
    Annals of the Institute of Statistical Mathematics, 2007, 59 : 147 - 159