Skip to main content
SpringerLink
Log in

Continuous Variable Quantum Secret Sharing via Quantum Teleportation

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

Abstract

A continuous variable quantum secret sharing (CVQSS) scheme is proposed by using quantum teleportation. In the scheme, the participants Bob and Charlie can recover the classical secret keys only when they cooperate. Meanwhile, the security of the CVQSS scheme is analyzed in detail by calculating the bit error rates (BERs) under different situations. It is shown that our proposed CVQSS scheme not only can resist the external attacks, but also can against the participant’s malicious attacks when the channel transmission efficiency η is above 50 %.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Zeng, G.H., Wang, X.M.: China Inf. Secur. 78, 1 (1999)

    Google Scholar 

  2. Hillery, M., Buzek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. Gottesman, D.: Phys. Rev. A 61, 042311 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  5. Imai, H., Nascimento, A.C.A., Mueller-Quade, J.: Phys. Rev. A 64, 042311 (2001)

    Article  ADS  Google Scholar 

  6. Li, L.Z., Qiu, D.W., Mateus, P.: J. Phys. A, Math. Theor. 46, 045304 (2013)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. Li, Y.M., Zhang, K.S., Peng, K.C.: Phys. Lett. A 324, 420 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. Takesue, H., Inoue, K.: Phys. Rev. A 74, 012315 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. Huang, D.Z., Chen, Z.G., Guo, Y.: Commun. Theor. Phys. 51, 221 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. Sarvepalli, P.: Phys. Rev. A 83, 042324 (2011)

    Article  ADS  Google Scholar 

  14. Jia, H.Y., Wen, Q.Y., Gao, F., Qin, S.J., Guo, F.Z.: Phys. Lett. A 376, 1035 (2012)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Du, R.G., Sun, Z.W., Wang, B.H., Long, D.Y.: Int. J. Theor. Phys. 51, 2727 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  16. Tsai, C.W., Yang, C.W., Hwang, T.: Quantum Inf. Process. 11, 113 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  17. Tittel, W., Zbinden, H., Gisin, N.: Phys. Rev. A 63, 042301 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. Tyc, T., Sanders, B.C.: Phys. Rev. A 65, 042310 (2002)

    Article  ADS  Google Scholar 

  20. Lance, A.M., Symul, T., Bowen, W.P., Tyc, T., Sanders, B.C., Lam, P.K.: New J. Phys. 5, 304 (2003)

    Article  MathSciNet  Google Scholar 

  21. Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Tyc, T., Ralph, T.C., Lam, P.K.: Phys. Rev. A 71, 033814 (2005)

    Article  ADS  Google Scholar 

  22. Zhang, J.X., Jing, J.T., Xie, C.D., Chin, P.K.C.: Phys. Lett. 22, 2751 (2005)

    Google Scholar 

  23. Furusawa, A., Takei, N.: Phys. Rev. 443, 97 (2007)

    MathSciNet  Google Scholar 

  24. Takei, N., Yonezawa, H., Aoki, T., Furusawa, A.: Phys. Rev. Lett. 94, 220502 (2005)

    Article  ADS  Google Scholar 

  25. Qin, S.J., Gao, F., Wen, Q.Y., Zhu, F.C.: Phys. Lett. A 357, 101 (2006)

    Article  ADS  MATH  Google Scholar 

  26. Cerf, N.J., Levy, M., Assche, G.V.: Phys. Rev. A 63, 052311 (2001)

    Article  ADS  Google Scholar 

  27. Grosshans, F., Grangier, P.: Phys. Rev. Lett. 88, 057902 (2002)

    Article  ADS  Google Scholar 

  28. Li, Y.M., Zhang, K.S., Xie, C.D.: Acta Sinica Quantum Optica 8, 71 (2002)

    Google Scholar 

Download references

Acknowledgements

This work is supported by the National Natural Science Foundation of China (grant no. 10647133), the Natural Science Foundation of Jiangxi Province, China (grant no. 20122BAB201031), the Foundation for Young Scientists of Jiangxi Province (Jinggang Star) (grant no. 20122BCB23002) and the Research Foundation of the Education Department of Jiangxi Province (grant no. GJJ13057).

Author information

Authors and Affiliations

  1. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Nan-run Zhou, Han-chong Song & Li-hua Gong

  2. Information Security Center, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Nan-run Zhou & Li-hua Gong

Authors
  1. Nan-run Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Han-chong Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Li-hua Gong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nan-run Zhou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhou, Nr., Song, Hc. & Gong, Lh. Continuous Variable Quantum Secret Sharing via Quantum Teleportation. Int J Theor Phys 52, 4174–4184 (2013). https://doi.org/10.1007/s10773-013-1730-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-013-1730-0

Keywords

Search

Navigation