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High-Capacity Three-Party Quantum Secret Sharing With Hyperentanglement

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Abstract

We presents a novel scheme for high-capacity three-party quantum secret sharing (QSS) with the hyperentanglement in both the polarization and the spatial-mode degrees of freedom of photon pairs. The boss Alice need only prepare a sequence of photon pairs and some decoy photons. Her two agents measure their photons received from the boss Alice with two bases by choosing two unsymmetrical probabilities. The present QSS scheme has a high capacity as each pair can carry 2 bits of information, several times as other QSS schemes. Moreover, our setups with linear optical elements show that our QSS scheme does not increase the difficulty of its implementation in experiment and it is feasible with current techniques.

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References

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

    Google Scholar 

  2. Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. Zhang, Y.S., Li, C.F., Guo, G.C.: Phys. Rev. A 64, 024302 (2001)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. Deng, F.G., Long, G.L.: Phys. Rev. A 70, 012311 (2004)

    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. Jiang, M., Huang, X., Zhou, L.L., Zhou, Y.M., Zeng, J.: Chin. Sci. Bulletin 57, 1089 (2012)

    Article  Google Scholar 

  11. Salemian, S., Mohammadnejad, S.: Chin. Sci. Bulletin 56, 618 (2011)

    Article  Google Scholar 

  12. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 4394 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  14. Yan, F.L., Wang, D.: Phys. Lett. A 316, 297 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Yang, C.P., Chu, S.I., Han, S.: Phys. Rev. A 70, 022329 (2004)

    Article  ADS  Google Scholar 

  16. Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Phys. Rev. A 72, 022338 (2005)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Liu, X.S., Long, G.L., Tong, D.M., Feng, L.: Phys. Rev. A 65, 022304 (2002)

    Article  ADS  Google Scholar 

  19. Grudka, A., Wójcik, A.: Phys. Rev. A 66, 014301 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  21. Deng, F.G., Long, G.L.: Phys. Rev. A 69, 062319 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. Gao, T., Yan, F.L., Wang, Z.X.: Chin. Phys. 14, 893 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  32. Gu, B., Pei, S.X., Song, B., Zhong, K.: Sci. China Ser. G 52, 1913 (2009)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Deng, F.G., Long, G.L., Zhou, H.Y.: Phys. Lett. A 340, 43 (2005)

    Article  ADS  MATH  Google Scholar 

  39. Deng, F.G., Zhou, H.Y., Long, G.L.: Phys. Lett. A 337, 329 (2005)

    Article  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  41. Zhang, Z.J., Li, Y., Man, Z.X.: Phys. Rev. A 71, 044301 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  42. Zhang, Z.J., Man, Z.X.: Phys. Rev. A 72, 022303 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  43. Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.J.: Phys. Rev. A 72, 044302 (2005)

    Article  ADS  Google Scholar 

  44. Yan, F.L., Gao, T.: Phys. Rev. A 72, 012304 (2005)

    Article  ADS  Google Scholar 

  45. Yan, F.L., Gao, T., Li, Y.C.: Chin. Phys. Lett. 25, 1187 (2008)

    Article  ADS  Google Scholar 

  46. Gu, B., Li, C.Q., Xu, F., Chen, Y.L.: Chin. Phys. B 18, 4690 (2009)

    Article  ADS  Google Scholar 

  47. Gu, B., Mu, L.L., Ding, L.G., Zhang, C.Y., Li, C.Q.: Opt. Commun. 283, 3099 (2010)

    Article  ADS  Google Scholar 

  48. Hao, L., Li, J.L., Long, G.L.: Sci. China.: Phys. Mech. Astron 53, 491 (2010)

    Article  ADS  Google Scholar 

  49. Hao, L., Wang, C., Long, G.L.: Opt. Commun. 284, 3639 (2011)

    Article  ADS  Google Scholar 

  50. Shi, R.H., Huang, L.S., Yang, W., Zhong, H.: Sci. Chin.: Phys. Mech. Astron 53, 2238 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  52. Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Phys. Rev. Lett. 92, 177903 (2004)

    Article  ADS  Google Scholar 

  53. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Rev. A 72, 044301 (2005)

    Article  ADS  Google Scholar 

  54. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Eur. Phys. J., D, At. Mol. Opt. Phys. 39, 459 (2006)

    ADS  Google Scholar 

  55. Li, X.H., Zhou, P., Li, C.Y., Zhou, H.Y., Deng, F.G.: J. Phys. B 39, 1975 (2006)

    Article  ADS  Google Scholar 

  56. Zhang, Y.Q., Jin, X.R., Zhang, S.: Chin. Phys. 15, 2252 (2006)

    Article  ADS  Google Scholar 

  57. Man, Z.X., Xia, Y.J., An, N.B.: Eur. Phys. J. D 42, 333 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  58. Wang, Z.Y., Yuan, H., Shi, S.H., Zhang, Z.J.: Eur. Phys. J. D 41, 371 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  59. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Eur. Phys. J. D 48, 279 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  62. Gu, B., Chen, Y.L., Zhang, C.Y., Huang, Y.G.: Chin. Phys. Lett. 27, 100304 (2010)

    Article  ADS  Google Scholar 

  63. Xiao, L., Wang, C., Zhang, W., Huang, Y.D., Peng, J.D., Long, G.L.: Phys. Rev. A 77, 042315 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  68. Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Nat. Phys. 4, 282 (2008)

    Article  Google Scholar 

  69. Wang, W.Y., Wang, C., Long, G.L.: Int. J. Quantum Inf. 7, 529 (2009)

    Article  MATH  Google Scholar 

  70. Sheng, Y.B., Deng, F.G., Long, G.L.: Phys. Rev. A 82, 032318 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  73. Gu, B., Huang, Y.G., Fang, X., Chen, Y.L.: Commun. Theor. Phys. 56, 659 (2011)

    Article  ADS  MATH  Google Scholar 

  74. Wang, T.J., Song, S.Y., Long, G.L.: Phys. Rev. A 85, 062311 (2012)

    Article  ADS  Google Scholar 

  75. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 042332 (2010)

    Article  ADS  Google Scholar 

  76. Li, X.H., Duan, X.J.: J. Phys. B 44, 065503 (2011)

    Article  ADS  Google Scholar 

  77. Niu, H.C., Ren, B.C., Wang, T.J., Hua, M., Deng, F.G.: Int. J. Theor. Phys. 51, 2346 (2012)

    Article  MATH  Google Scholar 

  78. Sheng, Y.B., Long, G.L., Deng, F.G.: Phys. Lett. A 376, 314 (2012)

    Article  ADS  Google Scholar 

  79. Deng, F.G.: Phys. Rev. A 84, 052312 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  82. Sheng, Y.B., Zhou, L., Zhao, S.M.: Phys. Rev. A 85, 042302 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  84. Li, C.Y., Li, X.H., Deng, F.G., Zhou, P., Liang, Y.J., Zhou, H.Y.: Chin. Phys. Lett. 23, 2896 (2006)

    Article  ADS  Google Scholar 

  85. 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 

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11105075) and the Natural Science Foundation of Jiangsu Provincial Universities (Grant No. 10KJB180004).

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Correspondence to Bin Gu.

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Gu, B., Xu, F., Ding, L. et al. High-Capacity Three-Party Quantum Secret Sharing With Hyperentanglement. Int J Theor Phys 51, 3559–3566 (2012). https://doi.org/10.1007/s10773-012-1242-3

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