A Chaos-based Arbitrated Quantum Signature Scheme in Quantum Crypotosystem

Abstract

An arbitrated quantum signature (AQS) scheme is demonstrated on a basis of an improved quantum chaotic encryption algorithm using the quantum one-time pad with a chaotic operation string. In this scheme, the signatory signs the message while the receiver verifies the signature’s validity with the aid of the trusty arbitrator who plays a crucial role when a possible dispute arises. Analysis shows that the signature can neither be forged nor disavowed by any malicious attackers.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3

References

  1. 1.

    Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  2. 2.

    Zeng, G., Keitel, C.H.: Phys. Rev. A 65, 042312 (2002)

    ADS  Article  MathSciNet  Google Scholar 

  3. 3.

    Zeng, G.: Phys. Rev. A 78, 016301 (2008)

    ADS  Article  MathSciNet  Google Scholar 

  4. 4.

    Gao, F., Qin, S.J., Guo, F.Z., Wen, Q.Y.: Phys. Rev. A 84, 022344 (2011)

    ADS  Article  Google Scholar 

  5. 5.

    Guo, Y., Sun, X., Zhang, W.: Int. J. Quantum Inf. 11(3), 1350036 (2013)

    Article  Google Scholar 

  6. 6.

    Zeng, G.H., Lee, M., Guo, Y., He, G.Q.: Int. J. Quantum Inf. 5, 553 (2007)

    Article  MATH  Google Scholar 

  7. 7.

    Gottesman, D., Chuang, I.: arXiv:quant-ph/0105031v2

  8. 8.

    Boykin, P.O., Roychowdhury, V.: Phys. Rev. A 67, 042317 (2003)

    ADS  Article  Google Scholar 

  9. 9.

    Zou, G., Qiu, D.: Phys. Rev. A 82, 042325 (2010)

    ADS  Article  Google Scholar 

  10. 10.

    Li, Q., Chan, W.H., Long, D.Y.: Phys. Rev. A 79, 054307 (2009)

    ADS  Article  MathSciNet  Google Scholar 

  11. 11.

    Hwang, T., Luo, Y., Chong, S.: Phys. Rev. A 85, 056301 (2012)

    ADS  Article  Google Scholar 

  12. 12.

    Cai, Q.Y.: Phys. Rev. Lett. 91, 109801 (2003)

    ADS  Article  Google Scholar 

  13. 13.

    Choi, J.W., Chang, K.Y., Hong, D.: Phys. Rev. A 84, 062330 (2011)

    ADS  Article  Google Scholar 

  14. 14.

    Gao, F., Qin, S.-J., Guo, F.-Z., Wen, Q.-Y.: Phys. Rev. A 84, 022344 (2011)

    ADS  Article  Google Scholar 

  15. 15.

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

    ADS  Article  MATH  MathSciNet  Google Scholar 

  16. 16.

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

    ADS  Article  MATH  MathSciNet  Google Scholar 

  17. 17.

    Curty, M., Santos, D.J., Pérez, E., García-Fernández, P.: Phys. Rev. A 66, 022301 (2002)

    ADS  Article  MathSciNet  Google Scholar 

  18. 18.

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

    ADS  Article  Google Scholar 

  19. 19.

    Buhrman, H., Cleve, R., Watrous, J., Wolf, R.: Phys. Rev. Lett. 87, 167902 (2001)

    ADS  Article  Google Scholar 

  20. 20.

    Li, Q., Chan, W.H., Long, D.Y.: Phys. Rev. A 79, 054307 (2009)

    ADS  Article  MathSciNet  Google Scholar 

  21. 21.

    Pang, S., Wu, S.: Phys. Rev. A 84, 012336 (2011)

    ADS  Article  Google Scholar 

  22. 22.

    Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Phys. Rev. Lett. 101, 208901 (2008)

    ADS  Article  Google Scholar 

  23. 23.

    Zhang, Y.S., Li, C.F., Guo, G.C.: Phys. Rev. A 63, 036301 (2009)

    ADS  Article  Google Scholar 

  24. 24.

    Gao, F., Qin, S., Guo, F.Z., Wen, Q.Y.: IEEE J. Quantum Electron. 47, 630 (2011)

    ADS  Article  Google Scholar 

  25. 25.

    Wójcik, A.: Phys. Rev. A 71, 016301 (2005)

    ADS  Article  Google Scholar 

  26. 26.

    Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Phys. Rev. A 77, 014302 (2008)

    ADS  Article  Google Scholar 

  27. 27.

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

    ADS  Article  Google Scholar 

  28. 28.

    Baptista, M.S.: Phys. Lett. A 240, 50–54 (1998)

    ADS  Article  MATH  MathSciNet  Google Scholar 

  29. 29.

    Jakimoski, G., Kocarev, L.: IEEE Trans. Circuits Syst. 48(2), 163–169 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  30. 30.

    Chong, S.K., Luo, Y.P., Hwang, T.: Opt. Commun. 284, 893 (2011)

    ADS  Article  Google Scholar 

  31. 31.

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

    ADS  Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to Ying Guo.

Additional information

This work was supported by the National Natural Science Foundation of China (61379153, 61272495), the New Century Excellent Talents in University, China (NCET-11-0510).

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Wang, Y., Xu, K. & Guo, Y. A Chaos-based Arbitrated Quantum Signature Scheme in Quantum Crypotosystem. Int J Theor Phys 53, 28–38 (2014). https://doi.org/10.1007/s10773-013-1780-3

Download citation

Keywords

  • Entanglement
  • Bell state
  • Quantum signature
  • Quantum cryptosystem
  • Quantum information