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Scheme for Deterministic Secure Quantum Communication with Three-qubit GHZ State

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Abstract

We present a novel scheme for deterministic secure quantum communication by using three-qubit Greenberger-Horne-Zeilinger (GHZ) state as quantum channel. It will be shown that secret messages can be encoded by employing four two-unitary collective operations, and decoded by Bell-basis measurements and some additional classical information. Security of the communication can be ensured by the order rearrangement of photon pairs techniques and the decoy photon checking technique. It has a high capacity as each GHZ state can carry two bits of information, and has a high intrinsic efficiency because almost all the instances except for the decoy checking photons (its number is negligible) are useful. Furthermore, this protocol is feasible with the present-day technique.

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References

  1. Bennett, C.H., Brassard, G.: Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, p 175. IEEE, New York (1984)

  2. Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)

    Article  ADS  MATH  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) (its first version announced on 13 December 2000 in arXiv:quant-ph/0012056 and it claims clearly that this protocol can also be used to transmit secret message directly. Therefore, this protocl is not only a QKD protocol but also the first QSDC protocol).

    Article  ADS  Google Scholar 

  5. Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Rev. Mod. Phys. 74, 145 (2002)

    Article  ADS  Google Scholar 

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

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

    Article  ADS  Google Scholar 

  9. Boström, K., Felbinger, T.: Phys. Rev. Lett. 89(02), 1879 (2002)

    Google Scholar 

  10. Wójcik, A.: Phys. Rev. Lett. 90, 157901 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. Cai, Q.Y., Li, B.W.: Chin. Phys. Lett. 21, 601 (2004)

    Article  ADS  Google Scholar 

  13. Cai, Q.Y., Li, B.W.: Phys. Rev. A 69, 054301 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  15. Wang, C., Li, Y.S., Long, G.L.: Commun. Theor. Phys. 46, 440 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. Wang, X.W., Shan, Y.G., Xia, L.X., Lu, M.W.: Phys. Lett. A 364, 7 (2007)

    Article  ADS  MATH  Google Scholar 

  18. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Scripta 76, 25 (2007)

    Article  ADS  Google Scholar 

  19. Yi, X.J., Nie, Y.Y., Zhou, N.N., Huang, Y.B., Hong, Z.H.: Int. J. Theor. Phys. 47, 3401 (2008)

    Article  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

  23. 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 

  24. 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 

  25. Beige, A., Englert, B.G., Kurtsiefer, C., Weinfurter, H.: Acta Phys. Pol. A 101, 357 (2002)

    ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  28. Nguyen, B.A.: Phys. Lett. A 328, 6 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  36. Wang, J., Zhang, Q., Tang, C.J.: Phys. Lett. A 368, 504 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  39. Wang, J., Zhang, Q., Tang, C.J.: Commun. Theor. Phys. 48, 637 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  40. Xiu, X.M., Dong, L., Gao, Y.J., Chi, F.: Opt. Commun. 282, 333 (2009)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  42. Zhou, N.R., Wang, L.J., Ding, J., Gong, L.H., Zuo, X.W.: Int. J. Theor. Phys. 49, 2035 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  43. Chen, X.B., Xu, G., Yang, Y.X., Wen, Q.Y.: Int. J. Theor. Phys. 49, 2793 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  44. Yuan, H., Zhou, J., Zhang, G., Wei, X.F.: Commun. Theor. Phys. 55, 984 (2011)

    Article  ADS  MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  46. Li, C.Y., et al.: Chin. Phys. Lett. 22, 1049 (2005)

    Article  ADS  Google Scholar 

  47. Li, C.Y., et al.: Chin. Phys. Lett. 23, 2896 (2006)

    Article  ADS  Google Scholar 

  48. Lo, H.K., Chau, H.F.: Science 283, 2050 (1999)

    Article  ADS  Google Scholar 

  49. Mayers, D.: Eur. Phys. J. D 18, 161 (2002)

    ADS  Google Scholar 

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Correspondence to Hao Yuan.

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This work is supported by the Talent Project of the West AnHui University for Outstanding Youth under Grant No. 0044113017, the National Undergraduate Innovation and Entrepreneurship Training Program Project under Grant No. 201210376008, the research project of Lu’an city under Grant No. 2013LWB004, the Key Project of Natural Science Fund in Anhui Provincen under Grant No. KJ2013A261, the National Natural Science Foundation of China under Grant No. 61375121.

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Yuan, H., Zhang, Q., Hong, L. et al. Scheme for Deterministic Secure Quantum Communication with Three-qubit GHZ State. Int J Theor Phys 53, 2558–2564 (2014). https://doi.org/10.1007/s10773-014-2053-5

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  • DOI: https://doi.org/10.1007/s10773-014-2053-5

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