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Quantum Secret Sharing of Secure Direct Communication Using One-Time Pad

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Abstract

Instead of sharing some sifted keys, quantum secret sharing of secure direct communication (QSS-SDC) allows a dealer Alice to share her secret message directly with a group of agents, who can then cooperate together to restore her message in a later time. However, we notice that, in order to recover the secret message, most existing QSS-SDC schemes require a quantum memory to store a resulting quantum state. As the technique of quantum memory is still not available today, we present a multiparty QSS-SDC protocol using quantum one time pad, which allows the agents to store their shares with classical binary strings. Moreover, the proposed scheme uses only single photons, which makes it easier to implement with current technology even when the number of the participants becomes large.

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References

  1. Blakley, G.R.: In: Proceedings of National Computer Conference, vol. 48, p. 313. AFIPS, New York (1979)

    Google Scholar 

  2. Shamir, A.: Commun. ACM 22, 612 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  3. Schneier, B.: Applied Cryptography, p. 70. Wiley, New York (1996)

    Google Scholar 

  4. Gruska, J.: Foundations of Computing, p. 504. International Thomson Computer, Boston (1997)

    Google Scholar 

  5. Bennett, C.H., Brassard, G.: In: Proc. IEEE Int. Conf. on Computers, Systems, and Signal Processing, Bangalore, India (1984), p. 175

    Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Bennett, C.H.: Phys. Rev. Lett. 68, 3121 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. 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 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  15. Li, X.H., et al.: Chin. Phys. Lett. 24, 1151 (2007)

    Article  ADS  Google Scholar 

  16. Zhou, P., et al.: J. Phys. A, Math. Theor. 40, 13121 (2007)

    Article  ADS  MATH  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. Hillery, M., Buźek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. Guo, G.P., Guo, G.C.: Phys. Lett. A 310, 247 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Phys. Rev. A 65, 052307 (2004)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  27. Deng, F.G., Li, X.H., Zhou, H.Y.: Phys. Lett. A 372, 1957 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Google Scholar 

  33. Markhamand, D., Sanders, B.C.: Phys. Rev. A 78, 042309 (2008)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  35. Boström, K., Felbinger, T.: Phys. Rev. Lett. 89, 187902 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Wang, C., et al.: Phys. Rev. A 71, 044305 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  40. Li, X.H., Zhou, P., Liang, Y.J., Li, C.Y., Zhou, H.Y., Deng, F.G.: Chin. Phys. Lett. 23, 1080 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  43. 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 

  44. Shimizu, K., Imoto, N.: Phys. Rev. A 60, 157 (1999)

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

  46. 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 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  51. Greenberger, D., Horne, M., Zeilinger, A.: In: Kaftos, M. (ed.), Bell’s Theorem, Quantum Theory, and Conceptions of the Universe. Kluwer Academic, Dordrecht (1989)

    Google Scholar 

  52. Zhang, Z.J.: Phys. Lett. A 342, 60–66 (2005)

    Article  ADS  MATH  Google Scholar 

  53. Wang, X., Liu, Y.M., Han, L.F., Zhang, Z.J.: Int. J. Quantum Inf. 6, 1155 (2008)

    Article  MATH  Google Scholar 

  54. Li, B.K., Yang, Y.G., Wen, Q.Y.: Chin. Phys. Lett. 26, 010302 (2009)

    Article  ADS  Google Scholar 

  55. Yang, Y.G., Cao, W.F., Wen, Q.Y.: Chin. Phys. B 19, 050306 (2010)

    Article  ADS  Google Scholar 

  56. Wang, J., Zhang, Q., Tang, C.J.: Commun. Theor. Phys. 47, 454 (2007)

    Article  ADS  MATH  Google Scholar 

  57. Shi, R.H., Huang, L.S., Yang, W., Zhong, H.: Chin. Phys. Lett. 28, 050303 (2011)

    Article  ADS  Google Scholar 

  58. Han, L.F., Liu, Y.M., Liu, J., Zhang, Z.J.: Opt. Commun. 281, 2690 (2008)

    Article  ADS  Google Scholar 

  59. Phillips, D.F., et al.: Phys. Rev. Lett. 86, 783 (2001)

    Article  ADS  Google Scholar 

  60. Liu, C., et al.: Nature 409, 490 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  62. Cai, Q.Y.: Phys. Lett. A 351, 23 (2006)

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We are grateful to the anonymous referee for his/her several detailed suggestions on revision. This work was sponsored by the Key Project of NSFC-Guangdong Funds (No. U0935002).

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Authors and Affiliations

  1. Department of Computer Science, Sun Yat-sen University, Guangzhou, 510275, China

    Ruigang Du, Zhiwei Sun, Banghai Wang & Dongyang Long

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  1. Ruigang Du
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  2. Zhiwei Sun
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  3. Banghai Wang
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  4. Dongyang Long
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Correspondence to Ruigang Du.

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Du, R., Sun, Z., Wang, B. et al. Quantum Secret Sharing of Secure Direct Communication Using One-Time Pad. Int J Theor Phys 51, 2727–2736 (2012). https://doi.org/10.1007/s10773-012-1147-1

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  • DOI: https://doi.org/10.1007/s10773-012-1147-1

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