Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Advertisement

Deterministic Secure Quantum Communication with Four-qubit GHZ States

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  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. Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  3. Cabello, A.: Phys. Rev. Lett. 85, 5635 (2000)

    Article  ADS  Google Scholar 

  4. Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)

    Article  ADS  Google Scholar 

  5. Deng, F.G., Long, G.L.: Phys. Rev. A 68, 042315 (2003)

    Article  ADS  Google Scholar 

  6. Li, C.Y., Zhou, H.Y., Wang, Y., Deng, F.G.: Chin. Phys. Lett. 22, 1049 (2005)

    Article  ADS  Google Scholar 

  7. Kye, W.H., Kim, C.M., Kim, M.S., Park, Y.J.: Phys. Rev. Lett. 95, 040501 (2005)

    Article  ADS  Google Scholar 

  8. Deng, F.G., Li, X.H., et al.: Physc. Scripta 76, 25 (2007)

    Article  ADS  Google Scholar 

  9. Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 78, 022321 (2008)

    Article  ADS  Google Scholar 

  10. Bennett, C.H., Brassard, G., Crépeau, C., et al.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  11. Ai, Q.: Sci. Bull. 61, 110 (2016)

    Article  Google Scholar 

  12. Li, T.C., Yin, Z.Q.: Sci. Bull. 61, 163 (2016)

    Article  Google Scholar 

  13. Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  14. Karlsson, A., Koashi, M., Imoto, N.: Phys. Rev. A 59, 162 (1999)

    Article  ADS  Google Scholar 

  15. Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Phys. Rev. A 69, 052307 (2004)

    Article  ADS  Google Scholar 

  16. Deng, F.G., Zhou, H.Y., Long, G.L.: J. Phys. A: Math. Gen. 39, 14089 (2006)

    Article  ADS  Google Scholar 

  17. Cleve, R., Gottesman, D., Lo, H.K.: Phys. Rev. Lett. 83, 648 (1999)

    Article  ADS  Google Scholar 

  18. Lance, A.M., Symul, T., Bowen, W.P., et al.: Phys. Rev. Lett. 92, 177903 (2004)

    Article  ADS  Google Scholar 

  19. Qin, H.W., Dai, Y.W.: Quantum Inf. Process 14, 4237 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  20. Qin, H.W., Zhu, X.H., Dai, Y.W.: Quantum Inf. Process 15, 2997 (2015)

    Article  ADS  Google Scholar 

  21. Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002). arXiv:quant-ph/0012056v1

    Article  ADS  Google Scholar 

  22. Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)

    Article  ADS  Google Scholar 

  23. Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)

    Article  ADS  Google Scholar 

  24. Wang, C., Deng, F.G., Long, G.L.: Opt. Commun. 253, 15 (2005)

    Article  ADS  Google Scholar 

  25. Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Phys. Rev. A 71, 044305 (2005)

    Article  ADS  Google Scholar 

  26. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Lett. A 359, 359 (2006)

    Article  ADS  Google Scholar 

  27. Li, X.H., Li, C.Y., Deng, F.G., Zhou, P., Liang, Y.J., Zhou, H.Y.: Chin. Phys. 16, 2149 (2007)

    Article  ADS  Google Scholar 

  28. Long, G.L., Deng, F.G., Wang, C., Li, X.H., Wen, K., Wang, W.Y.: Front. Phys. China. 2, 251 (2007)

    Article  ADS  Google Scholar 

  29. Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: Opt. Commun. 283, 192 (2010)

    Article  ADS  Google Scholar 

  30. Wang, T.J., Li, T., Du, F.F., Deng, F.G.: Chin. Phys. Lett. 28, 040305 (2011)

    Article  ADS  Google Scholar 

  31. Gu, B., Zhang, C.Y., Cheng, G.S., Huang, Y.G.: Sci. China: Phys. Mech. Astron. 54, 942 (2011)

    ADS  Google Scholar 

  32. Gu, B., Huang, Y.G., Fang, X., Zhang, C.Y.: Chin. Phys. B 20, 100309 (2011)

    Article  ADS  Google Scholar 

  33. Long, G.L., Wang, C., Li, Y.S., Deng, F.G.: Sci. Sin. Phys. Mech. Astron. 41, 332 (2011)

    Article  Google Scholar 

  34. Shi, J., Gong, Y.X., Xu, P., Zhu, S.N., Zhan, Y.B.: Commun. Theor. Phys. 56, 831 (2011)

    Article  ADS  Google Scholar 

  35. Wu, Y.H., Zhai, W.D., Cao, W.Z., Li, C.: Int. J. Theor. Phys. 50, 325 (2011)

    Article  Google Scholar 

  36. Liu, D., Chen, J.L., Jiang, W.: Int. J. Theor. Phys. 51, 2923 (2012)

    Article  Google Scholar 

  37. Zhang, Q.N., Li, C.C., Li, Y.H., Nie, Y.Y.: Int. J. Theor. Phys. 52, 22 (2013)

    Article  Google Scholar 

  38. Ren, B.C., Wei, H.R., Hua, M., Li, T., Deng, F.G.: Eur. Phys. J. D 67, 30 (2013)

    Article  ADS  Google Scholar 

  39. Gu, B., Huang, Y.G., Fang, X., Chen, Y.L.: Int. J. Theor. Phys. 52, 4461 (2013)

    Article  Google Scholar 

  40. Chang, Y., Xu, C., Zhang, S., Yan, L.: Chin. Sci. Bull. 59, 2541 (2014)

    Article  Google Scholar 

  41. Yadav, P., Srikanth, R., Pathak, A.: Quantum Inf. Process. 13, 2731 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  42. Wang, L.L., Ma, W.P., Wang, M.L., Shen, D.S.: Int. J. Theor. Phys. 54, 1 (2015)

    Article  Google Scholar 

  43. Li, Y.B., Song, T.T., Huang, W., Zhan, W.W.: Int. J. Theor. Phys. 54, 589 (2015)

    Article  Google Scholar 

  44. Li, X.H.: Acta Phys. Sin. 64, 160307 (2015)

    Google Scholar 

  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

    Article  Google Scholar 

  46. Patwardhan, S., Moulick, S.R., Panigrahi, P.: Int. J. Theor. Phys. 55, 3280 (2016)

    Article  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  48. Zhang, W., Ding, D.S., Sheng, Y.B., Zhou, L., Shi, B.S., Guo, G.C.: Phys. Rev. Lett. 118, 220501 (2017)

    Article  ADS  Google Scholar 

  49. Zhu, F., Zhang, W., Sheng, Y.B., Huang, Y.D.: Sci. Bull. 62, 1519 (2017)

    Article  Google Scholar 

  50. Liu, Z.H., Chen, H.W.: Int. J. Theor. Phys. 57, 311 (2018)

    Article  Google Scholar 

  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. Yan, F.L., Zhang, X.Q.: Eur. Phys. J. B 41, 75 (2004)

    Article  ADS  Google Scholar 

  53. Zhang, Z.J., Man, Z.X., Li, Y.: Int. J. Quant. Infom. 2, 521 (2004)

    Article  Google Scholar 

  54. Gao, T., Yan, F.L., Wang, Z.X.: J. Phys. A 38, 5761 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  55. Man, Z.X., Zhang, Z.J., Li, Y.: Chin. Phys. Lett. 22, 18 (2005)

    Article  ADS  Google Scholar 

  56. Wang, G.Y., Fang, X.M., Tan, X.H.: Chin. Phys. Lett. 23, 2658 (2006)

    Article  ADS  Google Scholar 

  57. Zhu, A.D., Xia, Y., Fan, Q.B., Zhang, S.: Phys. Rev. A 73, 022338 (2006)

    Article  ADS  Google Scholar 

  58. Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 74, 054302 (2006)

    Article  ADS  Google Scholar 

  59. Wang, J., Zhang, Q., Tang, C.J.: Phys. Lett. A 358, 256 (2006)

    Article  ADS  Google Scholar 

  60. Lee, H., Lim, J., Yang, H.: Phys. Rev. A 73, 042305 (2006)

    Article  ADS  Google Scholar 

  61. Cao, H.J., Song, H.S.: Chin. Phys. Lett. 23, 290 (2006)

    Article  ADS  Google Scholar 

  62. Liu, J., Liu, Y.M., Cao, H.J., Shi, S.H., Zhang, Z.J.: Chin. Phys. Lett. 23, 2652 (2006)

    Article  ADS  Google Scholar 

  63. Zhang, Z.J., Liu, J., Wang, D., Shi, S.H.: Phys. Rev. A 75, 026301 (2007)

    Article  ADS  Google Scholar 

  64. Dong, L., Xiu, X.M., Gao, Y.J., Chi, F.: Commun. Theor. Phys. 49, 1495 (2008)

    Article  ADS  Google Scholar 

  65. Dong, L., Xiu, X.M., Gao, Y., Chi, F.: Commun. Theor. Phys. 50, 359 (2008)

    Article  ADS  Google Scholar 

  66. Yuan, H., He, Q., et al.: Commun. Theor. Phys. (Beijing, China) 50, 1105 (2008)

    Article  ADS  Google Scholar 

  67. Dong, L., Xiu, X.M., Gao, Y.J., Chi, F.: Opt. Commun. 282, 1688 (2009)

    Article  ADS  Google Scholar 

  68. Yuan, H., Zhou, J., et al.: Commun. Theor. Phys. 55, 984 (2011)

    Article  ADS  Google Scholar 

  69. Banerjee, A., Pathak, A.: Phys. Lett. A 376, 2944 (2012)

    Article  ADS  Google Scholar 

  70. Hwang, T., Hwang, C.C., Tsai, C.W.: Eur. Phys. J. D 61, 785 (2011)

    Article  ADS  Google Scholar 

  71. Zhang, Q.N., Li, C.C., Li, Y.H., Nie, Y.Y.: Int. J. Theor. Phys. 52, 22 (2013)

    Article  Google Scholar 

  72. Tsai, C.W., Hwang, T.: Sci. China Phys. Mech. Astron. 56, 1903 (2013)

    Article  ADS  Google Scholar 

  73. Chang, Y., Zhang, S.B., Yan, L.L., Li, J.: Chin. Sci. Bull. 59, 2835 (2014)

    Article  Google Scholar 

  74. Li, N., Li, J, Li, L.L., et al.: Int. J. Theor. Phys. 55, 3579 (2016)

    Article  Google Scholar 

  75. Joy, D., Surendran, S.P., Sabir, M.: Quantum Inf. Process. 16, 157 (2017)

    Article  ADS  Google Scholar 

  76. Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Phys. Rev. Lett. 76, 722 (1996)

    Article  ADS  Google Scholar 

  77. Pan, J.W., Simon, C., Zellinger, A.: Nature 410, 1067 (2001)

    Article  ADS  Google Scholar 

  78. Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002)

    Article  ADS  Google Scholar 

  79. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)

    Article  ADS  Google Scholar 

  80. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 032307 (2010)

    Article  ADS  Google Scholar 

  81. Li, X.H.: Phys. Rev. A 82, 044304 (2010)

    Article  ADS  Google Scholar 

  82. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 82, 044305 (2010)

    Article  ADS  Google Scholar 

  83. Deng, F.G.: Phys. Rev. A 83, 062316 (2011)

    Article  ADS  Google Scholar 

  84. Ren, B.C., Deng, F.G.: Laser Phys. Lett. 10, 115201 (2013)

    Article  ADS  Google Scholar 

  85. Sheng, Y.B., Zhou, L.: Laser Phys. Lett. 11, 085203 (2014)

    Article  ADS  Google Scholar 

  86. Ren, B.C., Du, F.F., Deng, F.G.: Phys. Rev. A 90, 052309 (2014)

    Article  ADS  Google Scholar 

  87. Wang, G.Y., Liu, Q., Deng, F.G.: Phys. Rev. A 94, 032319 (2016)

    Article  ADS  Google Scholar 

  88. Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  89. Zhao, Z., Pan, J.W., Zhan, M.S.: Phys. Rev. A 64, 014301 (2001)

    Article  ADS  Google Scholar 

  90. Yamamoto, T., Koashi, M., Imoto, N.: Phys. Rev. A 64, 012304 (2001)

    Article  ADS  Google Scholar 

  91. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 062325 (2008)

    Article  ADS  Google Scholar 

  92. Sheng, Y.B., Zhou, L., Zhao, S.M., Zheng, B.Y.: Phys. Rev. A 85, 012307 (2012)

    Article  ADS  Google Scholar 

  93. Deng, F.G.: Phys. Rev. A 85, 022311 (2012)

    Article  ADS  Google Scholar 

  94. Ren, B.C., Du, F.F., Deng, F.G.: Phys. Rev. A 88, 012302 (2013)

    Article  ADS  Google Scholar 

  95. Ren, B.C., Long, G.L.: Opt. Express 22, 6547 (2014)

    Article  ADS  Google Scholar 

  96. Ren, B.C., Long, G.L.: Sci. Rep. 5, 16444 (2015)

    Article  ADS  Google Scholar 

  97. Ren, B.C., Wang, H., Alzahrani, F., Hobiny, A., Deng, F.G.: Anna. Phys. 385, 86 (2017)

    Article  ADS  Google Scholar 

  98. Briegel, H.J., Dür, W., Cirac, J.I., Zoller, P.: Phys. Rev. Lett. 81, 5932 (1998)

    Article  ADS  Google Scholar 

  99. Duan, L.M., Lukin, M.D., Cirac, J.I., Zoller, P.: Nature 414, 413 (2001)

    Article  ADS  Google Scholar 

  100. Chen, S., Chen, Y.A., Zhao, B., Yuan, Z.S., Schmiedmayer, J., Pan, J.W.: Phys. Rev. Lett. 99, 180505 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yong-Gang Hu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hu, YG. Deterministic Secure Quantum Communication with Four-qubit GHZ States. Int J Theor Phys 57, 2831–2842 (2018). https://doi.org/10.1007/s10773-018-3803-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-018-3803-6

Keywords