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International Journal of Theoretical Physics

, Volume 58, Issue 4, pp 1128–1137 | Cite as

A Quantum Sealed Auction Protocol Based on Secret Sharing

  • Qing Wang
  • Run-hua ShiEmail author
  • Zhang-kai Chen
  • Sheng-lan Wang
Article

Abstract

In this paper, a novel multiparty quantum sealed-bid auction protocol based on secret sharing is proposed. We present a novel post-confirmation mechanism without quantum entanglement, in which only k(k ≤ n) bidders can verify the truth of the bid to guarantee the fairness and the security of the auction. In addition, compared with those protocols based on the entangled states, the proposed protocol is more flexible and feasible within present technologies, since it uses the single photons as the message carrier of the bids and no one needs to store the photons.

Keywords

Quantum sealed-bid auction Secret sharing Privacy-preserving Post-confirmation 

Notes

Acknowledgments

This work was supported by National Natural Science Foundation of China (No. 61772001).

References

  1. 1.
    Zeng, G., Keitel, C.H.: Arbitrated quantum-signature scheme. Phys. Rev. A. 65(4), 042312 (2002)ADSCrossRefGoogle Scholar
  2. 2.
    Gao, F., Qin, S.J., Guo, F.Z., Wen, Q.Y.: Cryptanalysis of the arbitrated quantum signature protocols. Phys. Rev. A. 84(2), 022344 (2011)ADSCrossRefGoogle Scholar
  3. 3.
    Hillery, M., Bužek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A. 59(3), 1829–1834 (1999)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Zhang, Z., Li, Y., Man, Z.: Multiparty quantum secret sharing. Phys. Rev. A. 71(4), 044301 (2005)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. Theor. Comput. Sci. 560(P1), 7–11 (2014)MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A. 65(3), 032302 (2002)ADSCrossRefGoogle Scholar
  7. 7.
    Lo, H.K., Ma, X., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94(23), 230504 (2005)ADSCrossRefGoogle Scholar
  8. 8.
    Vaccaro, J.A., Spring, J., Chefles, A.: Quantum protocols for anonymous voting and surveying. Phys. Rev. A. 75(1), 012333 (2007)ADSCrossRefGoogle Scholar
  9. 9.
    Jiang, L., He, G., Nie, D., Xiong, J., Zeng, G.: Quantum anonymous voting for continuous variables. Phys. Rev. A. 85(4), 042309 (2012)ADSCrossRefGoogle Scholar
  10. 10.
    Naseri, M.: Secure quantum sealed-bid auction. Opt. Commun. 282(9), 1939–1943 (2009)ADSCrossRefGoogle Scholar
  11. 11.
    Qin, S.J., Gao, F., Wen, Q.Y., Meng, L.M., Zhu, F.C.: Cryptanalysis and improvement of a secure quantum sealed-bid auction. Opt. Commun. 282(19), 4014–4016 (2009)ADSCrossRefGoogle Scholar
  12. 12.
    Yang, Y.G., Naseri, M., Wen, Q.Y.: Improved secure quantum sealed-bid auction. Opt. Commun. 282(20), 4167–4170 (2009)ADSCrossRefGoogle Scholar
  13. 13.
    Zhao, Z., Naseri, M., Zheng, Y.: Secure quantum sealed-bid auction with post-confirmation. Opt. Commun. 283(16), 3194–3197 (2010)ADSCrossRefGoogle Scholar
  14. 14.
    Xu, G.A., Zhao, Z.W., Chen, X.B., et al.: Cryptanalysis and improvement of the secure quantum sealed-bid auction with postconfirmation. International Journal of Quantum Information. 9(06), 1383–1392 (2011)CrossRefzbMATHGoogle Scholar
  15. 15.
    He, L.B., Huang, L.S., Yang, W., Xu, R., Han, D.Q.: Cryptanalysis and melioration of secure quantum sealed-bid auction with post-confirmation. Quantum Inf. Process. 11(6), 1359–1369 (2012)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  16. 16.
    Luo, Y., Zhao, Z., Zhao, Z., Long, H., Su, W., Yang, Y.: The loophole of the improved secure quantum sealed-bid auction with post-confirmation and solution. Quantum Inf. Process. 12(1), 295–302 (2013)ADSCrossRefzbMATHGoogle Scholar
  17. 17.
    Wang, Q.L., Zhang, W.W., Su, Q.: Revisiting “the loophole of the improved secure quantum sealed-bid auction with post-confirmation and solution”. Int. J. Theor. Phys. 53(9), 3147–3153 (2014)CrossRefzbMATHGoogle Scholar
  18. 18.
    Zhang-Yin, W.: Quantum secure direct communication and quantum sealed-bid auction with EPR pairs. Commun. Theor. Phys. 54(6), 997 (2010)ADSCrossRefzbMATHGoogle Scholar
  19. 19.
    Wen-Jie, L., Fang, W., Sai, J., et al.: Attacks and improvement of quantum sealed-bid auction with EPR pairs. Commun. Theor. Phys. 61(6), 686 (2014)ADSCrossRefGoogle Scholar
  20. 20.
    Wang, J.T., Chen, X.B., Xu, G., Meng, X.H., Yang, Y.X.: A new quantum sealed-bid auction protocol with secret order in post-confirmation. Quantum Inf. Process. 14(10), 3899–3911 (2015)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  21. 21.
    Liu, W.J., Wang, H.B., Yuan, G.L., Xu, Y., Chen, Z.Y., An, X.X., Ji, F.G., Gnitou, G.T.: Multiparty quantum sealed-bid auction using single photons as message carrier. Quantum Inf. Process. 15(2), 869–879 (2016)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  22. 22.
    Lucamarini, M., Mancini, S.: Secure deterministic communication without entanglement. Phys. Rev. Lett. 94(14), 140501 (2005)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Computer Science and TechnologyAnhui UniversityHefei CityChina

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