Abstract
In a recent paper, Xie et al. (Int. Theor. Phys. 54, 3819–3824, 2015) proposed a semi-quantum secret sharing scheme based on specific bits. In this paper, a simple attack strategy (intercept-resend attack) is shown to prove that the Xie et al.’s scheme is not secure for a dishonest participant, and an improved protocol based on GHZ state is proposed. The improved protocol is secure and improves the efficiency of the previous one.
Similar content being viewed by others
References
Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)
Li, Y.M., Zhang, K.S.: Multiparty secret sharing of quantum information based on entanglement swapping. Phys. Lett. A 324, 420 (2004)
Deng, F.G., Zhou, H.Y., Long, G.L.: Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys. Lett. A 337, 329 (2005)
Zhang, Z.J., Gao, G., et al.: Multiparty quantum secret sharing based on the improved Bostrom-Felbinger protocol. Opt. Commun. 269, 418 (2007)
Lin, S., Wen, Q.Y., et al.: Improving the security of multiparty quantum secret sharing based on the improved Bostrom-Felbinger protocol. Opt. Commun. 281, 4553 (2008)
Li, Q., Long, D.Y., Chan, W.H., Qiu, D.W.: Sharing a quantum secret without a trusted party. Quantum Inf. Process 10, 97 (2011)
Liu, L.L., Tsai, C.W., Huang, T.: Quantum secret sharing using symmetric W state. Int. J. Theor. Phys. 51, 2291 (2012)
Liao, C.H., Yang, C.W., Hwang, T.: Dynamic quantum secret sharing protocol based on GHZ. Quantum Inf. Process 13, 1907 (2014)
Xu, J., Yuan, J.B.: Improvement and extension of quantum secret sharing using orthogonal product states. Int. J. Quantum Inf. 1, 12 (2014)
Wu, Y.D., Cai, R.Z., He, G.Q., Zhang, J.: Quantum secret sharing with continuous variable graph state. Quantum Inf. Process 13, 1085 (2014)
Qin, S.J., Liu, F.: Information leakage in quantum secret sharing of multi-bits by an entangled six-qubit State. Int. J. Theor. Phys. 53, 3116 (2014)
Mishra, S., Shukla, C., et al.: An integrated hierarchical dynamic quantum secret sharing protocol. Int. J. Theor. Phys. 54, 3143 (2015)
Qin, H.W., Zhu, X.H., Dai, Y.W.: (t,n) Threshold quantum secret sharing using the phase shift operation. Quantum Inf. Process 14, 2997 (2015)
Gao, G.: Cryptanalysis and improvement of multiparty quantum secret sharing schemes. Opt. Commun. 283, 2997 (2010)
Lin, S., Wen, Q.Y., Qin, S.J., Zhu, F.C.: Multiparty quantum secret sharing with collective eavesdropping-check. Opt. Commun. 282, 4455 (2009)
Liu, B., Gao, F., Wen, Q.Y.: Eavesdropping and improvement to multiparty quantum secret sharing with collective eavesdropping-check. Int. J. Theor. Phys. 51, 1211 (2012)
Zhang, K.J., Qin, S.J.: The cryptanalysis of Yuan others.’s multiparty quantum secret sharing protocol. Int. J. Theor. Phys. 52, 3953 (2013)
Yuan, H., Zhou, J., Zhang, G., Yang, H., Xing, L.L.: Efficient multiparty quantum secret sharing of secure direct communication based on bell states and continuous variable operations. Int. J. Theor. Phys. 51, 3443 (2012)
Liu, F., Su, Q., Wen, Q.Y.: Eavesdropping on multiparty quantum secret sharing scheme based on the phase shift operations. Int. J. Theor. Phys. 53, 1730 (2014)
Du, Y.T., Bao, W.S.: Multiparty quantum secret sharing scheme based on the phase shift operations. Opt. Commun. 308, 159 (2013)
Xie, C., Li, L.Z., Qiu, D.W.: A novel semi-quantum secret sharing scheme of specific bits. Int. J. Theor. Phys. 54, 3819 (2015)
Acknowledgments
We are grateful to the anonymous reviewer for helpful comments and detailed suggestions. This work is supported by the National Natural Science Foundation of China under Grant Nos. 61262079.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yin, A., Fu, F. Eavesdropping on Semi-Quantum Secret Sharing Scheme of Specific Bits. Int J Theor Phys 55, 4027–4035 (2016). https://doi.org/10.1007/s10773-016-3031-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-016-3031-x