Abstract
Based on four-qubit symmetric W state, the delayed measurement, decoy photos method, block transmission technique and the dense coding method, a multi-party quantum key agreement protocol is proposed. By utilizing the delayed measurement and decoy photos method, the fairness and security of the protocol are ensured. That is, the final generation key can be got fairly by m participants and the outside eavesdropper (includes Trojan-horse attacks, Measure-resend attack, Intercept-resend attack and Entangle-measure attack) and the dishonest participants attacks can be resisted in this protocol. By utilizing block transmission technique and the dense coding method, the efficiency of the protocol is improved. The efficiency analysis shows that the proposed protocol is more efficient than other multi-party QKA protocols.
Similar content being viewed by others
References
Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings of the 35th Annual Symposium on Foundations of Computer Science, pp. 124–134. IEEE Press, New York (1994)
Bennett, C.H., Brassard, G.: Public-key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers, Systems and Signal Processing. pp. 175–179, Ban-galore (1984)
Shor, P.W., Preskill, J.: Phys. Rev. Lett. 85, 441 (2000)
Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)
Goldenberg, L., Vaidman, L.: Phys. Rev. Lett. 75, 1239 (1995)
Diffie, W., Hellman, M.: IEEE Trans. Inf. Theory. 22, 644–654 (1976)
Zhou, N., Zeng, G., Xiong, J.: Electron. Lett. 40, 1149 (2004)
Tsai, C., Hwang, T.: Technical report, C-S-I-E, NCKU, Taiwan (2009)
Chong, S.K., Hwang, T.: Opt. Commun. 283, 1192–1195 (2010)
Chong, S.K., Tsai, C.W., Hwang, T.: Int. J. Theor. Phys. 50, 1793–1802 (2011)
Hsueh, C.C., Chen, C.Y.: Quantum key agreement protocol with maximally entangled states. In: Proceedings of the 14th Information Security Conference, pp. 236–242. National Taiwan University of Science and Technology, Taipei (2004)
Shen, D., Ma, W., Wang, L.: Quantum Inf. Process. 13, 2313–2324 (2014)
He, Y.F., Ma, W.P.: Mod. Phys. Lett. B 30, 26 (2016)
He, Y.F., Ma, W.P.: Quantum Inf. Process. 15, 5023–5035 (2016)
He, Y.F., Ma, W.P.: Int. J. Quantum Inf. 15, 3 (2017)
He, Y.F., Ma, W.P.: Mod. Phys. Lett. 31, 3 (2017)
Tsai, C.W., Chong, S.K., Hwang, T.: Comment on quantum key agreement protocol with maximally entangled states. In: Proceedings of the 20th Cryptology and Information Security Conference, pp. 210C213, National Chiao Tung University, Hsinchu (2010)
Shi, R.H., Zhong, H.: Quantum Inf. Process. 12, 921–932 (2013)
Liu, B., Gao, F., Huang, W., Wen, Q.Y.: Quantum Inf. Process. 12, 1797–1805 (2013)
Sun, Z., Wang, B., Li, Q., Long, D.: Quantum Inf. Process. 12, 3411 (2013)
Huang, W., Wen, Q.Y., Liu, B., Gao, F., Sun, Y.: Quantum Inf. Process. 13, 649–663 (2014)
Chitra, S., Nasir, A., Anirban, P.: Quantum Inf. Process. 13, 2391–2405 (2014)
Xu, G.B., Wen, Q.Y., Gao, F., Qin, S.J.: Quantum Inf. Process. 13, 2587–2594 (2014)
Zhu, Z.C., Hu, A.Q., Fu, A.M.: Quantum Inf. Process. 14, 4245–4254 (2015)
Liu, B., Xiao, D., Jia, H.Y., Liu, R.Z.: Quantum Inf. Process. 15, 2113–2124 (2016)
Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)
Sun, Z.W., Du, R.G., Long, D.Y.: Int. J. Quantum Inf. 10, 1250008 (2012)
Sun, Z.W., Du, R.G., Long, D.Y.: Int. J. Theor. Phys. 51, 1946–1952 (2012)
Hillery, M., Buzek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)
Du, R.G., Sun, Z.W., Wang, B.H., Long, D.Y.: Int. J. Theor. Phys. 51, 2727–2736 (2012)
Hwang, W.Y.: Phys. Rev. Lett. 91, 057901 (2003)
Lo, H.K., Ma, X.F., Chen, K.: Phys. Rev. Lett. 94, 230504 (2005)
Cerf, N.J., Bourennane, M., Karlsson, A., Gisin, N.: Phys. Rev. Lett. 88, 127902 (2002)
Lo, H.K., Curty, M., Qi, B.: Phys. Rev. Lett. 108, 130503 (2012)
Guo, W., Xie, S.C., Zhang, J.Z.: Int. J. Theor. Phys. 56, 1708–1718 (2017)
Shao, A.X., Zhang, J.Z., Xie, S.C.: Int. J. Theor. Phys. 55, 5216–5224 (2016)
Guo, W., Zhang, J.Z., Li, Y.P., An, W.: Int. J. Theor. Phys. 55, 3524–3536 (2016)
Tian, J.H., Zhang, J.Z., Li, Y.P.: Int. J. Theor. Phys. 55, 809–816 (2016)
Gu, J., Hwang, T.: Int. J. Theor. Phys. 56, 3108–3116 (2017)
Wang, P., Sun, Z.W., Sun, X.Q.: Quantum Inf. Process. 16, 170 (2017)
Cai, B.B., Guo, G.D., Lin, S.: Int. J. Theor. Phys. 56, 1039–1051 (2017)
Wang, L.L., Ma, W.P.: Quantum. Inf. Process. 16, 130 (2017)
Sun, Z.W., Yu, J.P., Wang, P.: Quantum. Inf. Process., 15, 373–384 (2016)
Sun, Z.W., Huang, J.W., Wang, P.: Quantum Inf. Process. 15, 2101–2111 (2016)
Shukla, V., Kothari, C., Banerjee, A., Pathak, A.: Phys. Lett. A 377, 518–527 (2013)
Cabello, A.: Phys. Rev. Lett. 85, 5633–5638 (2000)
Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.: Phys. Rev. A 72, 044302 (2005)
Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 74, 054302 (2006)
Cai, Q.Y.: Phys. Lett. A 351, 23–25 (2006)
Lin, J., Hwang, T.: Quantum Inf. Process. 12, 685 (2013)
Acknowledgements
This work is supported by the National Natural Science Foundation of China (61402265) and the Fund for Postdoctoral Application Research Project of Qingdao (01020120607).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, SS., Xu, GB., Liang, XQ. et al. Multiparty Quantum Key Agreement with Four-Qubit Symmetric W State. Int J Theor Phys 57, 3716–3726 (2018). https://doi.org/10.1007/s10773-018-3884-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-018-3884-2