A Continuous Variable Quantum Key Distribution Protocol Based on Entanglement Swapping of Quasi-Bell Entangled Coherent States
详细信息    查看全文
  • 作者:Li Dong (1) (2)
    Jun-Xi Wang (1)
    Xiao-Ming Xiu (1) (2) (3)
    Dan Li (3)
    Ya-Jun Gao (1)
    X. X. Yi (2)
  • 关键词:Continuous variable quantum key distribution ; Entanglement swapping ; Quasi ; Bell entangled coherent state
  • 刊名:International Journal of Theoretical Physics
  • 出版年:2014
  • 出版时间:September 2014
  • 年:2014
  • 卷:53
  • 期:9
  • 页码:3173-3190
  • 全文大小:1,725 KB
  • 参考文献:1. Bennett, C. H., Brassard, G: In: Proceedings of IEEE International Conference on Computer, Systems and Signal Processing, pp. 175鈥?79. Bangalore, India (IEEE, New York) (1984)
    2. Bennett, C. H.: Phys. Rev. Lett. 68, 3121 (1992) CrossRef
    3. Bell, J. S.: Phys. 1, 195 (1964)
    4. Clauser, J., Horne, M., Shimony, A., Holt, R.: Phys. Rev. Lett. 23, 880 (1969) CrossRef
    5. Ekert, A. K.: Phys. Rev. Lett. 67, 661 (1991) CrossRef
    6. Bennett, C. H., Brassard, G., Mermin, N. D.: Phys. Rev. Lett. 68, 557 (1992) CrossRef
    7. Zukowski, M., Zeilinger, A., Horne, M. A., Ekert, A. K.: Phys. Rev. Lett. 71, 4287 (1993) CrossRef
    8. Pan, J.-W., Bouwmeester, D., Weinfurter, H., Zeilinger, A.: Phys. Rev. Lett. 80, 3891 (1998) CrossRef
    9. Zeilinger, A., Horne, M. A., Weinfurter, H., Zukowski, M.: Phys. Rev. Lett. 78, 3031 (1997) CrossRef
    10. Bose, S., Vedral, V., Knight, P.: Phys. Rev. A 57, 822 (1998) CrossRef
    11. Bose, S., Vedral, V., Knight, P.: Phys. Rev. A 60, 194 (1999) CrossRef
    12. Shi, B.-S., Jiang, Y.-K., Guo, G.-C.: Phys. Rev. A 62, 054301 (2000) CrossRef
    13. Hardy, L., Song, D. D.: Physical Review A 62, 052315 (2000) CrossRef
    14. Gao, T., Yan, F.-L., Wang, Z.-X.: J. Phys. A: Math. Gen. 38, 5761 (2005). arXiv: quant-ph/0406082 CrossRef
    15. Dong, L., Xiu, X.-M, Gao, Y.-J., Chi, F.: Int. J. Mod. Phys. C 19, 1673 (2008) CrossRef
    16. Dong, L., Xiu, X.-M., Gao, Y.-J., Chi, F.: Opt. Commun. 281, 6135 (2008) CrossRef
    17. Vaidman, L.: Phys. Rev. A 49, 1473 (1994) CrossRef
    18. Polkinghorne, R. E. S., Ralph, T. C.: Phys. Rev. Lett. 83, 2095 (1999) CrossRef
    19. Jia, X., Su, X., Pan, Q., Gao, J., Xie, C., Peng, K.: Phys.l Rev. Lett. 93, 250503 (2004) CrossRef
    20. Takei, N., Yonezawa, H., Aoki, T., Furusawa, A.: Phys. Rev. Lett. 94, 220502 (2005) CrossRef
    21. Yang, M., Song, W., Cao, Z.-L.: Phys. Rev. A 71, 034312 (2005) CrossRef
    22. Prakash, H., Chandra, N.: Int. J. Mod. Phys. B 23, 2083 (2009) CrossRef
    23. Kumar, S. A., Prakash, H., Chandra, N., Prakash, R.: Modern Phys. Lett. B 27, 1350017 (2013) CrossRef
    24. L眉tkenhaus, N., Calsamiglia, J., Suominen, K.-A.: Phys. Rev. A 59, 3295 (1999) CrossRef
    25. Knill, E., Laflamme, R., Milburn, G. J.: Nat. 409, 46 (2001) CrossRef
    26. Kim, Y.-H., Kulik, S., Shih, Y.: Phys. Rev. Lett. 86, 1370 (2001) CrossRef
    27. Sanders, B. C.: Phys. Rev. A 45, 6811 (1992) CrossRef
    28. Wang, X.: Phys. Rev. A 64, 022302 (2001) CrossRef
    29. Jeong, H., Kim, M., Lee, J.: Phys. Rev. A 64, 052308 (2001) CrossRef
    30. Ba An, N.: Phys. Rev. A 68, 022321 (2003) CrossRef
    31. Zheng, Y.-Z., Gu, Y.-J., Guo, G.-C.: J. Opt. B: Quant. Semiclassical Opt. 5, 29 (2003) CrossRef
    32. Braunstein, S. L.: Phys. Rev. Lett. 80, 869 (1998) CrossRef
    33. van Enk, S. J., Hirota, O.: Phys. Rev. A 64, 022313 (2001) CrossRef
    34. Cheong, Y., Kim, H., Lee, H.-W.: Phys. Rev. A 70, 032327 (2004) CrossRef
    35. Liao, J.-Q., Kuang, L.-M., Phys. Lett. A. 358, 115 (2006) CrossRef
    36. Prakash, H., Chandra, N., Prakash, R.: Phys. Rev. A 75, 044305 (2007) CrossRef
    37. Prakash, H., Chandra, N., Prakash, R.: J. Phys. B: Atom. Mol. Opt. Phys. 40, 1613 (2007) CrossRef
    38. Liao, J.-Q., Kuang, L.-M.: J. Phys. B: Atom. Mol. Opt. Phys. 40, 1183 (2007) CrossRef
    39. Phien, H. N., An, N. B.: Phy. Lett. A 372, 2825 (2008) CrossRef
    40. Mishra, M. K., Prakash, H.: J. Phys. B: Atom. Mol. Opt. Phys. 43, 185501 (2010) CrossRef
    41. Huttner, B., Imoto, N., Gisin, N., Mor, T.: Phys. Rev. A 51, 1995 CrossRef
    42. Ralph, T.: Phys. Rev. A 61, 010303 (1999) CrossRef
    43. Hillery, M.: Phys. Rev. A 61, 022309 (2000) CrossRef
    44. Cerf, N., L茅vy, M., Assche, G.: Phys. Rev. A 63, 052311 (2001) CrossRef
    45. Grosshans, F., Grangier, P.: Phys. Rev. Lett. 88, 057902 (2002) CrossRef
    46. Grosshans, F., Van Assche, G., Wenger, J., Brouri, R., Cerf, N. J., Grangier, P.: Nature 421, 238 (2003) CrossRef
    47. Weedbrook, C., Lance, A., Bowen, W., Symul, T., Ralph, T., Lam, P.: Phys. Rev. Lett. 93, 170504 (2004) CrossRef
    48. Grosshans, F.: Phys. Rev. Lett. 94, 020504 (2005) CrossRef
    49. Koashi, M.: Phys. Rev. Lett. 93, 120501 (2004) CrossRef
    50. Garc铆a-Patr贸n, R., Cerf, N.: Phys. Rev. Lett. 97, 190503 (2006) CrossRef
    51. Dixon, A. R., Yuan, Z. L., Dynes, J. F., Sharpe, A. W., Shields, A. J.: Appl. Phys. Lett. 96, 161102 (2010) CrossRef
    52. Mishra, M. K., Maurya, A. K., Prakash, H.: J. Phys. B: Atom. Mol. Opt. Phys. 44, 115504 (2011) CrossRef
    53. Becir, A., El-Orany, F. A. A., Wahiddin, M. R. B.: Int. J. Quant. Inf. 10, 1250004 (2012) CrossRef
    54. Sun, M., Peng, X., Shen, Y., Guo, H.: Int. J. Quant. Inf. 10, 1250059 (2012) CrossRef
    55. Leverrier, A., Grangier, P.: Phys. Rev. Lett. 102, 180504 (2009) CrossRef
    56. Deng, F.-G., Long, G. L.: Phys. Rev. A 68, 042315 (2003). arXiv: quant-ph/0308172 CrossRef
    57. Zhu, A.-D., Xia, Y., Fan, Q.-B., Zhang, S.: Phys. Rev. A 73, 022338 (2006) CrossRef
    58. Li, X.-H., Deng, F.-G., Zhou, H.-Y.: Phys. Rev. A 74, 054302 (2006) CrossRef
    59. Xiu, X.-M., Dong, L., Gao, Y.-J., Chi, F., Ren, Y.-P., Liu, H.-W.: Opt. Commun. 283, 344 (2010) CrossRef
    60. Brune, M., Haroche, S., Raimond, J., Davidovich, L., Zagury, N.: Phys. Rev. A 45, 5193 (1992) CrossRef
    61. Monroe, C., Meekhof, D. M., King, B. E., Wineland, D. J.: Science 272, 1131 (1996) CrossRef
    62. Gerry, C. C.: Phys. Rev. A 55, 2478 (1997) CrossRef
    63. Phoenix, S.: Phys. Rev. A 41, 5132 (1990) CrossRef
    64. Jeong, H.: Phys. Rev. A 73, 052320 (2006) CrossRef
    65. Louis, S. G. R., Munro, W. J., Spiller, T. P., Nemoto, K.: Phys. Rev. A 78, 022326 (2008) CrossRef
    66. Brune, M., Hagley, E., Dreyer, J., Ma卯tre, X., Maali, A., Wunderlich, C., Raimond, J. M., Haroche, S.: Phys. Rev. Lett. 77, 4887 (1996) CrossRef
    67. Yurke, B., Stoler, D.: Phys. Rev. Lett. 57, 13 (1986) CrossRef
    68. Raimond, J., Brune, M., Haroche, S.: Phys. Rev. Lett. 79, 1964 (1997) CrossRef
    69. Dakna, M., Anhut, T., Opatrn媒, T., Kn枚ll, L., Welsch, D.-G.: Phys. Rev. A 55, 3184 (1997) CrossRef
    70. Zhang, Z.-M., Khosa, A. H., Ikram, M., Zubairy, M. S.: J. Phys. B: Atom. Mol. Opt. Phys. 40, 1917 (2007) CrossRef
    71. Ralph, T. C., Lam, P. K.: Phys. Rev. Lett. 81, 5668 (1998) CrossRef
    72. Kwiat, P., Steinberg, A., Chiao, R., Eberhard, P., Petroff, M.: Phys. Rev. A 48, R867 (1993) CrossRef
    73. Takeuchi, S., Kim, J., Yamamoto, Y., Hogue, H. H.: Appl. Phys. Lett. 74, 1063 (1999) CrossRef
    74. Kim, J., Takeuchi, S., Yamamoto, Y., Hogue, H. H.: Appl. Phys. Lett. 74, 902 (1999) CrossRef
    75. Song, S., Caves, C., Yurke, B.: Phys. Rev. A 41, 5261 (1990) CrossRef
    76. Reck, M., Zeilinger, A.: Phys. Rev. Lett. 73, 58 (1994) CrossRef
    77. Ralph, T., Gilchrist, A., Milburn, G., Munro, W., Glancy, S.: Phys. Rev. A 68, 42319 (2003) CrossRef
    78. Yurke, B., Stoler, D.: Phys. Rev. A 35, 4846 (1987) CrossRef
    79. Yurke, B., Stoler, D.: Phys. Rev. Lett. 79, 4941 (1997) CrossRef
    80. Gerry, C.: Phys. Rev. A 61, 043811 (2000) CrossRef
    81. Choi, K. S., Deng, H., Laurat, J., Kimble, H. J.: Nature 452, 67 (2008) CrossRef
    82. Hedges, M. P., Longdell, J. J., Li, Y., Sellars, M. J.: Nature 1052 (2010)
    83. Clausen, C., Usmani, I., Bussi猫res, F., Sangouard, N., Afzelius, M., de Riedmatten, H., Gisin, N.: Nature 469, 508 (2011) CrossRef
    84. Ding, D.-S., Zhou, Z.-Y., Shi, B.-S., Zou, X.-B., Guo, G.-C.: arXiv: 1210.3963 (2012)
    85. Kim, H., Cheong, Y., Lee, H.-W.: Physical Review A 70, 012309 (2004) CrossRef
  • 作者单位:Li Dong (1) (2)
    Jun-Xi Wang (1)
    Xiao-Ming Xiu (1) (2) (3)
    Dan Li (3)
    Ya-Jun Gao (1)
    X. X. Yi (2)

    1. Department of Physics, College of Mathematics and Physics, Bohai University, Jinzhou, 121013, Peoples Republic of China
    2. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, 116024, Peoples Republic of China
    3. Department of Electrical and Electronics Engineering, Chengdu Technological University, Chengdu, 611730, Peoples Republic of China
  • ISSN:1572-9575
文摘
A continuous variable quantum key distribution protocol with entanglement swapping of quasi-Bell entangled coherent states is proposed. As the preliminary step, a sender shares quasi-Bell entangled coherent states with a receiver. After their measurements to distinguish the cases of a zero response, a nonzero even-photon response and an odd-photon response, two legitimate participants fulfill the task of key distribution. The correlations resulting from entanglement swapping of quasi-Bell entangled coherent states and the order rearrangement of transmitted states provide the possibility to protect secret key distribution. In the ideal channel, the success probability increases with the amplitude of the coherent state, and approaches unity when the amplitude of the coherent state is larger than two. However, in the loss channel, the decoherence will introduce error in the generated key, and the error rate increases with the amplitude of the coherent state. When the amplitude of the coherent state is smaller than 0.2 (or so), the error rate approaches zero, although the success probability is less than 0.5 in this case.

© 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