Alternative fidelity measure between two states of an N-state quantum system -: art. no. 054304

被引:28
作者
Chen, JL
Fu, L
Ungar, AA
Zhao, XG
机构
[1] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
[2] Natl Univ Singapore, Fac Sci, Dept Phys, Singapore 119260, Singapore
[3] N Dakota State Univ, Dept Math, Fargo, ND 58105 USA
来源
PHYSICAL REVIEW A | 2002年 / 65卷 / 05期
关键词
D O I
10.1103/PhysRevA.65.054304
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
An alternative fidelity measure between two states of a qunit, an N-state quantum system, is proposed. It has a hyperbolic geometric interpretation, and it reduces to the Bures fidelity in the special case when N=2.
引用
收藏
页码:3 / 543043
页数:3
相关论文
共 36 条
  • [1] [Anonymous], 2009, Quantum computation and quantum information, DOI DOI 10.1119/1.1463744
  • [2] The Wigner angle as an anholonomy in rapidity space
    Aravind, PK
    [J]. AMERICAN JOURNAL OF PHYSICS, 1997, 65 (07) : 634 - 636
  • [3] Noncommuting mixed states cannot be broadcast
    Barnum, H
    Caves, CM
    Fuchs, CA
    Jozsa, R
    Schumacher, B
    [J]. PHYSICAL REVIEW LETTERS, 1996, 76 (15) : 2818 - 2821
  • [4] BARNUM H, QUANTPH9809010
  • [6] On the Wigner angle and its relation with the defect of a triangle in hyperbolic geometry
    Chen, JL
    Ge, ML
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 1998, 25 (3-4) : 341 - 345
  • [7] Geometric observation for Bures fidelity between two states of a qubit
    Chen, Jing-Ling
    Fu, Libin
    Ungar, Abraham A.
    Zhao, Xian-Geng
    [J]. Physical Review A. Atomic, Molecular, and Optical Physics, 2002, 65 (02): : 1 - 024303
  • [8] The Bloch gyrovector
    Chen, JL
    Ungar, AA
    [J]. FOUNDATIONS OF PHYSICS, 2002, 32 (04) : 531 - 565
  • [9] From the group SL(2, C) to gyrogroups and gyrovector spaces and hyperbolic geometry
    Chen, JL
    Ungar, AA
    [J]. FOUNDATIONS OF PHYSICS, 2001, 31 (11) : 1611 - 1639
  • [10] Entangled three-state systems violate local realism more strongly than qubits: An analytical proof
    Chen, JL
    Kaszlikowski, D
    Kwek, LC
    Oh, CH
    Zukowski, M
    [J]. PHYSICAL REVIEW A, 2001, 64 (05): : 521091 - 521095