Optical scheme for realization of optimal unambiguous state discrimination of the JS limit
详细信息    查看全文
  • 作者:WenHai Zhang (1)
    LongBao Yu (2)
    ZhuoLiang Cao (2)
    Liu Ye (3)
  • 关键词:quantum state discrimination ; optimal unambiguous discrimination ; JS limit ; optimal probabilistic quantum cloning
  • 刊名:SCIENCE CHINA Physics, Mechanics & Astronomy
  • 出版年:2013
  • 出版时间:March 2013
  • 年:2013
  • 卷:56
  • 期:3
  • 页码:606-609
  • 全文大小:470KB
  • 参考文献:1. Chefles A. Quantum state discrimination. Contemp Phys, 2000, 41: 401鈥?24 CrossRef
    2. Barnett S M, Croke S. Quantum state discrimination. Adv Opt Photon, 2009, 1: 238鈥?78 CrossRef
    3. Sedl谩k M. Quantum theory of undiscrimnation measurements. Acta Phys Slov, 2009, 59(6): 653鈥?92
    4. Bennett C H, Brassard G. Quantum cryptography: Public-key distribution and coin tossing. In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing. New York: IEEE, 1984. 175
    5. Gisin N, Ribordy G, Tittel W, et al. Quantum cryptography. Rev Mod Phys, 2002, 74: 145鈥?95 CrossRef
    6. Scarani V, Bechmann-Pasquinucci H, Cerf N J, et al. The security of practical quantum key distribution. Rev Mod Phys, 2009, 81: 1301鈥?350 CrossRef
    7. Helstrom C W. Quantum Detection and Estimation Theory. New York: Academic Press, 1976. 112鈥?13
    8. Ivanovic I D. How to differentiate between non-orthogonal states. Phys Lett A, 1987, 123: 257鈥?59 CrossRef
    9. Dieks D. Overlap and distinguishability of quantum states. Phys Lett A, 1988, 126: 303鈥?06 CrossRef
    10. Peres P. How to differentiate between non-orthogonal states. Phys Lett A, 1988, 128: 19 CrossRef
    11. Jeager G, Shimony A. Optimal distinct between non-orthogonal quantum states. Phys Lett A, 1995, 197: 83鈥?7 CrossRef
    12. Barnett S M. Minimum-error discrimination between multiply symmetric states. Phys Rev A, 2001, 64: 030303(R)
    13. Herzog U, Bergou J A. Minimum-error discrimination between subsets of linearly dependent quantum states. Phys Rev A, 2002, 65: 050305(R) CrossRef
    14. Dao W Q. Minimum-error discrimination between mixed quantum states. Phys Rev A, 2008, 77: 012328 CrossRef
    15. Rudolph T, Spekkens R W, Turner P S. Unambiguous discrimination of mixed states. Phys Rev A, 2003, 68: 010301 (R) CrossRef
    16. Herzog U. Optimum unambiguous discrimination of two mixed states and application to a class of similar states. Phys Rev A, 2007, 75: 052309 CrossRef
    17. Pang S, Wu S. Optimum unambiguous discrimination of linearly independent pure states. Phys Rev A, 2009, 80: 052320 CrossRef
    18. Huttner B, Muller A, Gautier J D, et al, Unambiguous quantum measurement of nonorthogonal states. Phys Rev A, 1996, 54: 3783鈥?789 CrossRef
    19. Clarke R B M, Chefles A, Barnett S M, et al. Experimental demonstration of optimal unambiguous state discrimination. Phys Rev A, 2001, 63: 040305(R) CrossRef
    20. Soubusta J, 脠ernoch A, Fiur谩拧ek J, et al. Experimental realization of a programmable quantum-state discriminator and a phase-covariant quantum multimeter. Phys Rev A, 2004, 69: 052321 CrossRef
    21. Mohseni M, Steinberg A M, Bergou J A, et al. Optical realization of optimal unambiguous discrimination for pure and mixed quantum states. Phys Rev Lett, 2004, 93: 200403 CrossRef
    22. Kraus K. States, Effects and Operations. Lecture Notes in Physics. Berlin: Springer, 1983
    23. Peres P. Quantum Theory: Concepts and Methods. Amsterdam: Kluwer, 1993
    24. Hwang W Y. Helstrom theorem from the no-signaling condition. Phys Rev A, 2005, 71: 062315 CrossRef
    25. Bae J, Lee J W, Kim J, et al. Optimality of minimum-error discrimination by the no-signaling condition. Phys Rev A, 2008, 78: 022335 CrossRef
    26. Simon C, Bu啪ek V, Gisin N. The no-signaling condition and quantum dynamics. Phys Rev Lett, 2001, 87: 170405 CrossRef
    27. Croke S, Andersson E, Barnett S M. No-signaling bound on quantum state discrimination. Phys Rev A, 2008, 77: 012113 CrossRef
    28. Duan L M, Guo G C. Probabilistic cloning and identification of linearly independent quantum states. Phys Rev Lett, 1998, 80: 4999鈥?002 CrossRef
    29. Raynal P, Lutkenhaus N, van Enk S. Reduction theorems for optimal unambiguous state discrimination of density matrices. Phys Rev A, 2003, 68: 022308 CrossRef
    30. Cerf N J, Adami C, Kwiat P G. Optical simulation of quantum logic. Phys Rev A, 1997, 57: 1477鈥?480 CrossRef
    31. Brunel C, Lounis B, Tamarat P, et al. Triggered source of single photons based on controlled single molecule fluorescence. Phys Rev Lett, 1999, 83: 2722鈥?725 CrossRef
    32. Santori C, Pelton M, Solomon G, et al. Triggered single photons from a quantum dot. Phys Rev Lett, 2001, 86: 1502鈥?505 CrossRef
    33. White A G, James D F V, Eberhard P H, et al. Nonmaximally entangled states: Production, characterization, and utilization. Phys Rev Lett, 1999, 83: 3103鈥?107 CrossRef
    34. Huang Y F, Li W L, Li C F, et al Optical realization of universal quantum cloning. Phys Rev A, 2001, 64: 012315 CrossRef
    35. 膶ernoch A, Bart暖拧kov谩 L, Soubusta J, et al. Experimental phase-covariant cloning of polarization states of single photons. Phys Rev A, 2006, 74: 042327 CrossRef
    36. Soubusta J, Bart暖拧kov谩 L, 膶ernoch A, et al. Several experimental realizations of symmetric phase-covariant quantum cloners of singlephoton qubits. Phys Rev A, 2007, 76: 042318 CrossRef
    37. Nagali E, De Angelis T, Sciarrino F, et al. Experimental realization of macroscopic coherence by phase-covariant cloning of a single photon. Phys Rev A, 2007, 76: 042126 CrossRef
    38. Xu J S, Li C F, Chen L, et al. Experimental realization of the optimal universal and phase-covariant quantum cloning machines. Phys Rev A, 2008, 78: 032322 CrossRef
  • 作者单位:WenHai Zhang (1)
    LongBao Yu (2)
    ZhuoLiang Cao (2)
    Liu Ye (3)

    1. Department of Physics, Huainan Normal University, Huainan, 232038, China
    2. Department of Physics and Electronic Engineering, Hefei Normal University, Hefei, 230061, China
    3. School of Physics and Material Science, Anhui University, Hefei, 230039, China
  • ISSN:1869-1927
文摘
We exploit optimal probabilistic cloning to rederive the JS limit. Dependent on the formulation given by the optimal probabilistic cloning, the explicit transformation of a measure of the JS limit is presented. Based on linear optical devices, we propose an experimentally feasible scheme to implement the JS limit measure of a general pair of two nonorthogonal quantum states. The success probability of the proposed scheme is unity.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700