Comparison of two unknown pure quantum states

被引:79
作者
Barnett, SM
Chefles, A [1 ]
Jex, I
机构
[1] Univ Hertfordshire, Dept Phys Sci, Hatfield AL10 9AB, Herts, England
[2] Univ Strathclyde, Dept Phys & Appl Phys, Glasgow G4 0NG, Lanark, Scotland
[3] Czech Tech Univ, FANS, Dept Phys, Prague 11519, Czech Republic
基金
英国工程与自然科学研究理事会;
关键词
quantum mechanics; quantum information; quantum measurement;
D O I
10.1016/S0375-9601(02)01602-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Can we establish whether or not two quantum systems have been prepared in the same state? We investigate the possibility of universal unambiguous state comparison. We show that it is impossible to conclusively identify two pure unknown states as being identical, and construct the optimal measurement for conclusively identifying them as being different. We then derive optimal strategies for state comparison when the state of each system is one of two known states. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:189 / 195
页数:7
相关论文
共 50 条
  • [41] Quantum Memory as Light Pulses Quantum States Transformer
    Vetlugin, A. N.
    Sokolov, I. V.
    XII INTERNATIONAL WORKSHOP ON QUANTUM OPTICS (IWQO-2015), 2015, 103
  • [42] Classical and Quantum Coherent States
    Alastair Brodlie
    International Journal of Theoretical Physics, 2003, 42 : 1707 - 1731
  • [43] Entropy and geometry of quantum states
    Shivam, Kumar
    Reddy, Anirudh
    Samuel, Joseph
    Sinha, Supurna
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2018, 16 (04)
  • [44] Entanglement and the shareability of quantum states
    Doherty, Andrew C.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (42)
  • [45] Discrimination Among Quantum States
    Masashi Ban
    International Journal of Theoretical Physics, 2004, 43 : 27 - 33
  • [46] Quantum Theory, Namely the Pure and Reversible Theory of Information
    Chiribella, Giulio
    D'Ariano, Giacomo Mauro
    Perinotti, Paolo
    ENTROPY, 2012, 14 (10) : 1877 - 1893
  • [47] The Bloch Representation of quantum states
    Fargetton, Renan
    Arrighi, Pablo
    QUANTUM COMMUNICATION, MEASUREMENT AND COMPUTING (QCMC), 2009, 1110 : 87 - 90
  • [48] Testing quantum states for purity
    Jupp, Peter E.
    Kim, Peter T.
    Koo, Ja-Yong
    Pasieka, Aron
    JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 2012, 61 : 753 - 763
  • [49] Centrifugal quantum states of neutrons
    Nesvizhevsky, V. V.
    Voronin, A. Yu
    COMPTES RENDUS PHYSIQUE, 2011, 12 (08) : 791 - 795
  • [50] Classical and quantum coherent states
    Brodlie, A
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2003, 42 (08) : 1707 - 1731