Abstract
Based on the semi-quantum theory, we propose an easy-to-implement multi-party semi-quantum secret sharing scheme using Bell states, which reduces the construction cost of quantum secret sharing network and completes the multi-party secret sharing. The quantum Alice uses Bell states as the initial resource and has the abilities of performing Bell basis measurement and storing qubits, the participant Bobi has limited quantum capabilities. The secret sharing network based on semi-quantum theory completes the secret sharing between the secret distributor and multiple participants. Security analysis shows that the scheme can resist internal attacks and external entanglement attacks and is safe and feasible for current technologies.
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References
Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59(3), 1829–1834 (1999)
Chang, Y., Zhang, S.B., Yan, L.L., et al.: A quantum authorization management protocol based on epr-pairs. Comput. Mater. Continua 59(3), 1005–1014 (2019)
Yan, L.L., Chang, Y., Zhang, S.B., et al.: Measure-resend semi-quantum private comparison scheme using GHZ class states. Comput. Mater. Continua 61(2), 877–887 (2019)
Zhang, S.B., Chang, Y., Yan, L.L., et al.: Quantum communication networks and trust management: a survey. Comput. Mater. Continua 61(3), 1145–1174 (2019)
Bai, C.M., Li, Z.H., Xu, T.T., et al.: A generalized information theoretical model for quantum secret sharing. Int. J. Theor. Phys. 55(11), 4972–4986 (2016)
Dou, Z., Xu, G., Chen, X.B., et al.: Rational non-hierarchical quantum state sharing protocol. Comput. Mater. Continua 58(2), 335–347 (2019)
Yang, Y.-G., Gao, S., Li, D., Zhou, Y.-H., Shi, W.-M.: Three-party quantum secret sharing against collective noise. Quantum Inf. Process. 18(7), 1–11 (2019). https://doi.org/10.1007/s11128-019-2319-1
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59(1), 162–168 (1999)
Guo, G.P., Guo, G.C.: Quantum secret sharing without entanglement. Phys. Lett. A 310(4), 247–251 (2003)
Yan, F.L., Gao, T.: Quantum secret sharing between multiparty and multiparty without entanglement. Phys. Rev. A 72(1), 012304 (2005)
Han, L.F., Liu, Y.M., Shi, S.H., et al.: Improving the security of a quantum secret sharing protocol between multiparty and multiparty without entanglement. Phys. Lett. A 361(1), 24–28 (2007)
Boyer, M., Kenigsberg, D., Mor, T.: Quantum key distribution with classical bob. Phys. Rev. Lett. 99(14), 140501 (2007)
Boyer, M., Gelles, R., Kenigsberg, D., et al.: Semiquantum key distribution. Phys. Rev. A 79(3), 032341 (2009)
Shukla, C., Thapliyal, K., Pathak, A.: Semi-quantum communication: protocols for key agreement, controlled secure direct communication and dialogue. Quantum Inf. Process. 16(12), 1–19 (2017). https://doi.org/10.1007/s11128-017-1736-2
Yan, L.L., Sun, Y.H., Chang, Y., Zhang, S.B., Wan, G.G., Sheng, Z.W.: Semi-quantum protocol for deterministic secure quantum communication using Bell states. Quantum Inf. Process. 17(11), 1–12 (2018). https://doi.org/10.1007/s11128-018-2086-4
Sun, Y.H., Yan, L.L., Chang, Y., et al.: Two semi-quantum secure direct communication protocols based on Bell states. Mod. Phys. Lett. A 34(1), 1950004 (2019)
Long, D.Y., Chan, W.H., Li, Q.: Semi-quantum secret sharing using entangled states. Phys. Rev. A 82(82), 2422–2427 (2010)
Wang, J., Zhang, S., Zhang, Q., et al.: Semi-quantum secret sharing using two-particle entangled state. Int. J. Quantum Inf. 10(05), 1250050 (2012)
Li, L., Qiu, D., Mateus, P.: Quantum secret sharing with classical Bobs. J. Phys. A: Math. Theor. 46(4), 045304 (2013)
Xie, C., Li, L., Qiu, D.: A novel semi-quantum secret sharing scheme of specific bits. Int. J. Theor. Phys. 54(10), 3819–3824 (2015). https://doi.org/10.1007/s10773-015-2622-2
Ye, C.Q., Ye, T.Y.: Circular semi-quantum secret sharing using single particles. Commun. Theor. Phys. (12) (2018)
Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65(3), 032302 (2002)
Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phys. Rev. A 68(4), 042317 (2003)
Acknowledgments
This work is supported by the National Natural Science Foundation of China (No. 61572086, No.61402058), the Key Research and Development Project of Sichuan Province (No. 20ZDYF2324, No. 2019ZYD027, No. 2018TJPT0012), the Innovation Team of Quantum Security Communication of Sichuan Province (No. 17TD0009), the Academic and Technical Leaders Training Funding Support Projects of Sichuan Province (No. 2016120080102643), the Application Foundation Project of Sichuan Province (No. 2017JY0168), the Science and Technology Support Project of Sichuan Province (No. 2018GZ0204, No. 2016FZ0112).
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Li, XY., Chang, Y., Zhang, SB. (2020). Multi-party Semi-quantum Secret Sharing Scheme Based on Bell States. In: Sun, X., Wang, J., Bertino, E. (eds) Artificial Intelligence and Security. ICAIS 2020. Lecture Notes in Computer Science(), vol 12240. Springer, Cham. https://doi.org/10.1007/978-3-030-57881-7_25
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DOI: https://doi.org/10.1007/978-3-030-57881-7_25
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