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A Quantum Sealed Auction Protocol Based on Secret Sharing

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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.

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References

  1. Zeng, G., Keitel, C.H.: Arbitrated quantum-signature scheme. Phys. Rev. A. 65(4), 042312 (2002)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  3. Hillery, M., Bužek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A. 59(3), 1829–1834 (1999)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Zhang, Z., Li, Y., Man, Z.: Multiparty quantum secret sharing. Phys. Rev. A. 71(4), 044301 (2005)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. Theor. Comput. Sci. 560(P1), 7–11 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A. 65(3), 032302 (2002)

    Article  ADS  Google Scholar 

  7. Lo, H.K., Ma, X., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94(23), 230504 (2005)

    Article  ADS  Google Scholar 

  8. Vaccaro, J.A., Spring, J., Chefles, A.: Quantum protocols for anonymous voting and surveying. Phys. Rev. A. 75(1), 012333 (2007)

    Article  ADS  Google Scholar 

  9. Jiang, L., He, G., Nie, D., Xiong, J., Zeng, G.: Quantum anonymous voting for continuous variables. Phys. Rev. A. 85(4), 042309 (2012)

    Article  ADS  Google Scholar 

  10. Naseri, M.: Secure quantum sealed-bid auction. Opt. Commun. 282(9), 1939–1943 (2009)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  12. Yang, Y.G., Naseri, M., Wen, Q.Y.: Improved secure quantum sealed-bid auction. Opt. Commun. 282(20), 4167–4170 (2009)

    Article  ADS  Google Scholar 

  13. Zhao, Z., Naseri, M., Zheng, Y.: Secure quantum sealed-bid auction with post-confirmation. Opt. Commun. 283(16), 3194–3197 (2010)

    Article  ADS  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  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)

    Article  ADS  MATH  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  18. Zhang-Yin, W.: Quantum secure direct communication and quantum sealed-bid auction with EPR pairs. Commun. Theor. Phys. 54(6), 997 (2010)

    Article  ADS  MATH  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  22. Lucamarini, M., Mancini, S.: Secure deterministic communication without entanglement. Phys. Rev. Lett. 94(14), 140501 (2005)

    Article  ADS  Google Scholar 

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Acknowledgments

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

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Authors and Affiliations

  1. School of Computer Science and Technology, Anhui University, Hefei City, 230601, China

    Qing Wang, Run-hua Shi, Zhang-kai Chen & Sheng-lan Wang

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  1. Qing Wang
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  2. Run-hua Shi
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  3. Zhang-kai Chen
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  4. Sheng-lan Wang
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Correspondence to Run-hua Shi.

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Wang, Q., Shi, Rh., Chen, Zk. et al. A Quantum Sealed Auction Protocol Based on Secret Sharing. Int J Theor Phys 58, 1128–1137 (2019). https://doi.org/10.1007/s10773-019-04004-y

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