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Deterministic Secure Quantum Communication with Four-qubit GHZ States

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Abstract

Based on the order rearrangement strategy, a deterministic secure quantum communication (DSQC) scheme by utilizing the four-qubit GHZ states as quantum channel is proposed. The intrinsic efficiency for qubits of the present scheme reaches the maximal value 100%. In order to improve its total efficiency of communication, the security protect measures of the present scheme can be modified following with the two-step transmitting idea, and the total efficiency of the revised scheme can come up to 40%, more higher than some previous DSQC schemes. Finally, some issues for the practical application of our schemes are discussed.

Keywords

Deterministic secret quantum communication Four-qubit GHZ states Decoy photon check technique Order rearrangement strategy Two-step transmitting idea 

References

  1. 1.
    Bennett, C.H., Brassard, G.: In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processings, Bangalore, India, p 175. IEEE, New York (1984)Google Scholar
  2. 2.
    Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992)ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    Cabello, A.: Phys. Rev. Lett. 85, 5635 (2000)ADSCrossRefGoogle Scholar
  4. 4.
    Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)ADSCrossRefGoogle Scholar
  5. 5.
    Deng, F.G., Long, G.L.: Phys. Rev. A 68, 042315 (2003)ADSCrossRefGoogle Scholar
  6. 6.
    Li, C.Y., Zhou, H.Y., Wang, Y., Deng, F.G.: Chin. Phys. Lett. 22, 1049 (2005)ADSCrossRefGoogle Scholar
  7. 7.
    Kye, W.H., Kim, C.M., Kim, M.S., Park, Y.J.: Phys. Rev. Lett. 95, 040501 (2005)ADSCrossRefGoogle Scholar
  8. 8.
    Deng, F.G., Li, X.H., et al.: Physc. Scripta 76, 25 (2007)ADSCrossRefGoogle Scholar
  9. 9.
    Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 78, 022321 (2008)ADSCrossRefGoogle Scholar
  10. 10.
    Bennett, C.H., Brassard, G., Crépeau, C., et al.: Phys. Rev. Lett. 70, 1895 (1993)ADSMathSciNetCrossRefGoogle Scholar
  11. 11.
    Ai, Q.: Sci. Bull. 61, 110 (2016)CrossRefGoogle Scholar
  12. 12.
    Li, T.C., Yin, Z.Q.: Sci. Bull. 61, 163 (2016)CrossRefGoogle Scholar
  13. 13.
    Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)ADSMathSciNetCrossRefGoogle Scholar
  14. 14.
    Karlsson, A., Koashi, M., Imoto, N.: Phys. Rev. A 59, 162 (1999)ADSCrossRefGoogle Scholar
  15. 15.
    Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Phys. Rev. A 69, 052307 (2004)ADSCrossRefGoogle Scholar
  16. 16.
    Deng, F.G., Zhou, H.Y., Long, G.L.: J. Phys. A: Math. Gen. 39, 14089 (2006)ADSCrossRefGoogle Scholar
  17. 17.
    Cleve, R., Gottesman, D., Lo, H.K.: Phys. Rev. Lett. 83, 648 (1999)ADSCrossRefGoogle Scholar
  18. 18.
    Lance, A.M., Symul, T., Bowen, W.P., et al.: Phys. Rev. Lett. 92, 177903 (2004)ADSCrossRefGoogle Scholar
  19. 19.
    Qin, H.W., Dai, Y.W.: Quantum Inf. Process 14, 4237 (2015)ADSMathSciNetCrossRefGoogle Scholar
  20. 20.
    Qin, H.W., Zhu, X.H., Dai, Y.W.: Quantum Inf. Process 15, 2997 (2015)ADSCrossRefGoogle Scholar
  21. 21.
    Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002). arXiv:quant-ph/0012056v1 ADSCrossRefGoogle Scholar
  22. 22.
    Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)ADSCrossRefGoogle Scholar
  23. 23.
    Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)ADSCrossRefGoogle Scholar
  24. 24.
    Wang, C., Deng, F.G., Long, G.L.: Opt. Commun. 253, 15 (2005)ADSCrossRefGoogle Scholar
  25. 25.
    Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Phys. Rev. A 71, 044305 (2005)ADSCrossRefGoogle Scholar
  26. 26.
    Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Lett. A 359, 359 (2006)ADSCrossRefGoogle Scholar
  27. 27.
    Li, X.H., Li, C.Y., Deng, F.G., Zhou, P., Liang, Y.J., Zhou, H.Y.: Chin. Phys. 16, 2149 (2007)ADSCrossRefGoogle Scholar
  28. 28.
    Long, G.L., Deng, F.G., Wang, C., Li, X.H., Wen, K., Wang, W.Y.: Front. Phys. China. 2, 251 (2007)ADSCrossRefGoogle Scholar
  29. 29.
    Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: Opt. Commun. 283, 192 (2010)ADSCrossRefGoogle Scholar
  30. 30.
    Wang, T.J., Li, T., Du, F.F., Deng, F.G.: Chin. Phys. Lett. 28, 040305 (2011)ADSCrossRefGoogle Scholar
  31. 31.
    Gu, B., Zhang, C.Y., Cheng, G.S., Huang, Y.G.: Sci. China: Phys. Mech. Astron. 54, 942 (2011)ADSGoogle Scholar
  32. 32.
    Gu, B., Huang, Y.G., Fang, X., Zhang, C.Y.: Chin. Phys. B 20, 100309 (2011)ADSCrossRefGoogle Scholar
  33. 33.
    Long, G.L., Wang, C., Li, Y.S., Deng, F.G.: Sci. Sin. Phys. Mech. Astron. 41, 332 (2011)CrossRefGoogle Scholar
  34. 34.
    Shi, J., Gong, Y.X., Xu, P., Zhu, S.N., Zhan, Y.B.: Commun. Theor. Phys. 56, 831 (2011)ADSCrossRefGoogle Scholar
  35. 35.
    Wu, Y.H., Zhai, W.D., Cao, W.Z., Li, C.: Int. J. Theor. Phys. 50, 325 (2011)CrossRefGoogle Scholar
  36. 36.
    Liu, D., Chen, J.L., Jiang, W.: Int. J. Theor. Phys. 51, 2923 (2012)CrossRefGoogle Scholar
  37. 37.
    Zhang, Q.N., Li, C.C., Li, Y.H., Nie, Y.Y.: Int. J. Theor. Phys. 52, 22 (2013)CrossRefGoogle Scholar
  38. 38.
    Ren, B.C., Wei, H.R., Hua, M., Li, T., Deng, F.G.: Eur. Phys. J. D 67, 30 (2013)ADSCrossRefGoogle Scholar
  39. 39.
    Gu, B., Huang, Y.G., Fang, X., Chen, Y.L.: Int. J. Theor. Phys. 52, 4461 (2013)CrossRefGoogle Scholar
  40. 40.
    Chang, Y., Xu, C., Zhang, S., Yan, L.: Chin. Sci. Bull. 59, 2541 (2014)CrossRefGoogle Scholar
  41. 41.
    Yadav, P., Srikanth, R., Pathak, A.: Quantum Inf. Process. 13, 2731 (2014)ADSMathSciNetCrossRefGoogle Scholar
  42. 42.
    Wang, L.L., Ma, W.P., Wang, M.L., Shen, D.S.: Int. J. Theor. Phys. 54, 1 (2015)CrossRefGoogle Scholar
  43. 43.
    Li, Y.B., Song, T.T., Huang, W., Zhan, W.W.: Int. J. Theor. Phys. 54, 589 (2015)CrossRefGoogle Scholar
  44. 44.
    Li, X.H.: Acta Phys. Sin. 64, 160307 (2015)Google Scholar
  45. 45.
    Hu, J.Y., Yu, B., Jing, M.Y., Xiao, L.T., Jia, S.T., Qin, G.Q., Long, G.L.: Light: Sci. Appl. 5, e16144 (2016).  https://doi.org/10.1038/lsa.2016.144 CrossRefGoogle Scholar
  46. 46.
    Patwardhan, S., Moulick, S.R., Panigrahi, P.: Int. J. Theor. Phys. 55, 3280 (2016)CrossRefGoogle Scholar
  47. 47.
    Wu, F.Z., Yang, G.J., Wang, H.B., Xiong, J., Alzahrani, F., Hobiny, A., Deng, F.G.: Sci. China-Phys. Mech. Astron. 60, 120313 (2017)ADSCrossRefGoogle Scholar
  48. 48.
    Zhang, W., Ding, D.S., Sheng, Y.B., Zhou, L., Shi, B.S., Guo, G.C.: Phys. Rev. Lett. 118, 220501 (2017)ADSCrossRefGoogle Scholar
  49. 49.
    Zhu, F., Zhang, W., Sheng, Y.B., Huang, Y.D.: Sci. Bull. 62, 1519 (2017)CrossRefGoogle Scholar
  50. 50.
    Liu, Z.H., Chen, H.W.: Int. J. Theor. Phys. 57, 311 (2018)CrossRefGoogle Scholar
  51. 51.
    Li, X.H., Deng, F.G., Li, C.Y., Liang, Y.J., Zhou, P., Zhou, H.Y.: J. Korean Phys. Soc. 49, 1354 (2006)Google Scholar
  52. 52.
    Yan, F.L., Zhang, X.Q.: Eur. Phys. J. B 41, 75 (2004)ADSCrossRefGoogle Scholar
  53. 53.
    Zhang, Z.J., Man, Z.X., Li, Y.: Int. J. Quant. Infom. 2, 521 (2004)CrossRefGoogle Scholar
  54. 54.
    Gao, T., Yan, F.L., Wang, Z.X.: J. Phys. A 38, 5761 (2005)ADSMathSciNetCrossRefGoogle Scholar
  55. 55.
    Man, Z.X., Zhang, Z.J., Li, Y.: Chin. Phys. Lett. 22, 18 (2005)ADSCrossRefGoogle Scholar
  56. 56.
    Wang, G.Y., Fang, X.M., Tan, X.H.: Chin. Phys. Lett. 23, 2658 (2006)ADSCrossRefGoogle Scholar
  57. 57.
    Zhu, A.D., Xia, Y., Fan, Q.B., Zhang, S.: Phys. Rev. A 73, 022338 (2006)ADSCrossRefGoogle Scholar
  58. 58.
    Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 74, 054302 (2006)ADSCrossRefGoogle Scholar
  59. 59.
    Wang, J., Zhang, Q., Tang, C.J.: Phys. Lett. A 358, 256 (2006)ADSCrossRefGoogle Scholar
  60. 60.
    Lee, H., Lim, J., Yang, H.: Phys. Rev. A 73, 042305 (2006)ADSCrossRefGoogle Scholar
  61. 61.
    Cao, H.J., Song, H.S.: Chin. Phys. Lett. 23, 290 (2006)ADSCrossRefGoogle Scholar
  62. 62.
    Liu, J., Liu, Y.M., Cao, H.J., Shi, S.H., Zhang, Z.J.: Chin. Phys. Lett. 23, 2652 (2006)ADSCrossRefGoogle Scholar
  63. 63.
    Zhang, Z.J., Liu, J., Wang, D., Shi, S.H.: Phys. Rev. A 75, 026301 (2007)ADSCrossRefGoogle Scholar
  64. 64.
    Dong, L., Xiu, X.M., Gao, Y.J., Chi, F.: Commun. Theor. Phys. 49, 1495 (2008)ADSCrossRefGoogle Scholar
  65. 65.
    Dong, L., Xiu, X.M., Gao, Y., Chi, F.: Commun. Theor. Phys. 50, 359 (2008)ADSCrossRefGoogle Scholar
  66. 66.
    Yuan, H., He, Q., et al.: Commun. Theor. Phys. (Beijing, China) 50, 1105 (2008)ADSCrossRefGoogle Scholar
  67. 67.
    Dong, L., Xiu, X.M., Gao, Y.J., Chi, F.: Opt. Commun. 282, 1688 (2009)ADSCrossRefGoogle Scholar
  68. 68.
    Yuan, H., Zhou, J., et al.: Commun. Theor. Phys. 55, 984 (2011)ADSCrossRefGoogle Scholar
  69. 69.
    Banerjee, A., Pathak, A.: Phys. Lett. A 376, 2944 (2012)ADSCrossRefGoogle Scholar
  70. 70.
    Hwang, T., Hwang, C.C., Tsai, C.W.: Eur. Phys. J. D 61, 785 (2011)ADSCrossRefGoogle Scholar
  71. 71.
    Zhang, Q.N., Li, C.C., Li, Y.H., Nie, Y.Y.: Int. J. Theor. Phys. 52, 22 (2013)CrossRefGoogle Scholar
  72. 72.
    Tsai, C.W., Hwang, T.: Sci. China Phys. Mech. Astron. 56, 1903 (2013)ADSCrossRefGoogle Scholar
  73. 73.
    Chang, Y., Zhang, S.B., Yan, L.L., Li, J.: Chin. Sci. Bull. 59, 2835 (2014)CrossRefGoogle Scholar
  74. 74.
    Li, N., Li, J, Li, L.L., et al.: Int. J. Theor. Phys. 55, 3579 (2016)CrossRefGoogle Scholar
  75. 75.
    Joy, D., Surendran, S.P., Sabir, M.: Quantum Inf. Process. 16, 157 (2017)ADSCrossRefGoogle Scholar
  76. 76.
    Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Phys. Rev. Lett. 76, 722 (1996)ADSCrossRefGoogle Scholar
  77. 77.
    Pan, J.W., Simon, C., Zellinger, A.: Nature 410, 1067 (2001)ADSCrossRefGoogle Scholar
  78. 78.
    Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002)ADSCrossRefGoogle Scholar
  79. 79.
    Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)ADSCrossRefGoogle Scholar
  80. 80.
    Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 032307 (2010)ADSCrossRefGoogle Scholar
  81. 81.
    Li, X.H.: Phys. Rev. A 82, 044304 (2010)ADSCrossRefGoogle Scholar
  82. 82.
    Sheng, Y.B., Deng, F.G.: Phys. Rev. A 82, 044305 (2010)ADSCrossRefGoogle Scholar
  83. 83.
    Deng, F.G.: Phys. Rev. A 83, 062316 (2011)ADSCrossRefGoogle Scholar
  84. 84.
    Ren, B.C., Deng, F.G.: Laser Phys. Lett. 10, 115201 (2013)ADSCrossRefGoogle Scholar
  85. 85.
    Sheng, Y.B., Zhou, L.: Laser Phys. Lett. 11, 085203 (2014)ADSCrossRefGoogle Scholar
  86. 86.
    Ren, B.C., Du, F.F., Deng, F.G.: Phys. Rev. A 90, 052309 (2014)ADSCrossRefGoogle Scholar
  87. 87.
    Wang, G.Y., Liu, Q., Deng, F.G.: Phys. Rev. A 94, 032319 (2016)ADSCrossRefGoogle Scholar
  88. 88.
    Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)ADSCrossRefGoogle Scholar
  89. 89.
    Zhao, Z., Pan, J.W., Zhan, M.S.: Phys. Rev. A 64, 014301 (2001)ADSCrossRefGoogle Scholar
  90. 90.
    Yamamoto, T., Koashi, M., Imoto, N.: Phys. Rev. A 64, 012304 (2001)ADSCrossRefGoogle Scholar
  91. 91.
    Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 062325 (2008)ADSCrossRefGoogle Scholar
  92. 92.
    Sheng, Y.B., Zhou, L., Zhao, S.M., Zheng, B.Y.: Phys. Rev. A 85, 012307 (2012)ADSCrossRefGoogle Scholar
  93. 93.
    Deng, F.G.: Phys. Rev. A 85, 022311 (2012)ADSCrossRefGoogle Scholar
  94. 94.
    Ren, B.C., Du, F.F., Deng, F.G.: Phys. Rev. A 88, 012302 (2013)ADSCrossRefGoogle Scholar
  95. 95.
    Ren, B.C., Long, G.L.: Opt. Express 22, 6547 (2014)ADSCrossRefGoogle Scholar
  96. 96.
    Ren, B.C., Long, G.L.: Sci. Rep. 5, 16444 (2015)ADSCrossRefGoogle Scholar
  97. 97.
    Ren, B.C., Wang, H., Alzahrani, F., Hobiny, A., Deng, F.G.: Anna. Phys. 385, 86 (2017)ADSCrossRefGoogle Scholar
  98. 98.
    Briegel, H.J., Dür, W., Cirac, J.I., Zoller, P.: Phys. Rev. Lett. 81, 5932 (1998)ADSCrossRefGoogle Scholar
  99. 99.
    Duan, L.M., Lukin, M.D., Cirac, J.I., Zoller, P.: Nature 414, 413 (2001)ADSCrossRefGoogle Scholar
  100. 100.
    Chen, S., Chen, Y.A., Zhao, B., Yuan, Z.S., Schmiedmayer, J., Pan, J.W.: Phys. Rev. Lett. 99, 180505 (2007)ADSCrossRefGoogle Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.West Anhui UniversityLuanChina

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