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Authenticated Semi-Quantum Secret Sharing Based on GHZ-Type States

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Abstract

As is known to all that entities authentication can provides secure communication for QSS protocol. In this paper, the authors propose a novel semi-quantum secret sharing (SQSS) scheme where identity authentication is adopted to verify the identification of partners in communication based on GHZ-type states. Any related quantum operations can be performed by the quantum Alice, however, classical partners can only perform classical operations on the transmitted qubits as well as unitary transformation. In addition, the paper also shows that the protocol is secure resist some eavesdropping attacks.

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References

  1. Shor, P.W., Preskill, J.: Simple Proof of Security of the BB84 Quantum Key Distribution Protocol. Phys. Rev. Lett. 85(2), 441–444 (2000)

  2. Margarida, P., Go, K., Akihiro, M., et al.: Quantum key distribution with correlated sources. Science advances. 37(6) (2020)

  3. Chang, H., Jino, H., Jin, G.J.: Quantum identity authentication with single photon. Quantum Inf. Process. 16(10), 236 (2017)

  4. Zhang, S., et al.: A novel quantum identity authentication based on Bell states. Int. J. Theor. Phys. 59(1), 236-249 (2020)

  5. Zhang, W., et al.: Quantum Secure Direct Communication with Quantum Memory. Phys. Rev. A.118(22), 220501 (2017)

  6. Cai, J., Pan, Z., Wang, T.J., et al.: High-capacity quantum secure direct communication using hyper-entanglement of photonic qubits. Int. J. Theor. Phys. 14(8) (2016)

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

  8. Qin, H.W., Dai, Y.: Efficient quantum secret sharing. Quantum Inf. Process. 15(5), 2091–2100 (2016)

  9. Deng, F.G., et al.: Efficient high-capacity quantum secret sharing with two-photon entanglement. Phys. Lett. A. 372(12), 1957-1962 (2008)

  10. Boyer, M., Kenigsberg, D., Mor, T.: Quantum key distribution with classical bob. Phys. Rev. Lett. 99(14), 140501 (2007)

  11. Boyer, M., Gelles, R., Kenigsberg, D., et al.: Semi-quantum key distribution. Phys. Rev. A. 79(3), 32341-32341 (2009)

  12. Zhu, K.N., Zhou, N.R., Wang, Y.Q., et al.: Semi-Quantum Key Distribution Protocols with GHZ States. Int. J. Theor. Phys. 57(6) (2018)

  13. Zhou, N.R., Zhu, K.N., Zou, X.F.: Multi-Party Semi-Quantum Key Distribution Protocol With Four-Particle Cluster States. Annalen Der Physik. 531(8) (2019)

  14. Zou, X.F., Qiu, D.W.: Three-Step semi-quantum secure direct communication protocol. Science China Phys. Mech Astron. 57(9), 1696-1702 (2014)

  15. Li, Q., Chan, W.H., Long, D.Y.: Semi-quantum secret sharing using entangled states. Phys. Rev. A. 82(2), 2422-2427 (2010)

  16. Lin, J., Yang, C.W., Tsai, C.W., Hwang, T.: Intercept-resend attacks on semi-quantum secret sharing and the improvements. Int. J. Theor. Phys. 52(1), 156-162 (2013)

  17. Gao, G., Wang, Y., Wang, D.: Multiparty semiquantum secret sharing based on rearranging orders of qubits. Mod. Phys. Lett. B. 30, 10 (2016)

  18. Nguyen, B.A.: Quantum dialogue. Phys. Rev. A. 328(1), 6-10 (2004)

  19. Shi, G.F., Xi, X.Q., Hu, M.L., et al.: Quantum secure dialogue by using single photons. Opt. Commu. 283(9), 1984-1986 (2010)

  20. Shen, D., Ma, W., Yin, X., et al.: Quantum Dialogue with Authentication Based on Bell States. Int. J. Theor. Phys. 52(6), 1825-1835 (2013)

  21. Yin, A.H., Lin, W.B., Fan., P.: Controlled quantum dialogue scheme based on different unspecific two-particle entangled state. Mod. Phys. Lett. A. 35(2),175-179 (2019)

  22. Lin, C.Y., Yang, C.W., Hwang, T.: Authenticated Quantum Dialogue Based on Bell States. Int. J. Theor. Phys. 54(3),780-786 (2015)

  23. Li, X.H., Deng, F.G., Zhou, H.Y.: Improving the security of secure direct communication based on the secret transmitting order of particles. Phys. Rev. A, 74(5) (2006)

  24. Zheng, T., Zhang, S., Gao, X., et al.: Practical quantum private query based on Bell state. Mod. Phys. Lett. A. 74(24), 592 (2019)

  25. Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85(26), 5635-8 (2000)

  26. Tsai, C.W., Yang, C.W., Lee, N.Y.: Semi-quantum secret sharing protocol using w-state. Mod. Phys. Lett. A. 34(27), 1950213 (2019)

  27. Hwang, T., Hwang, C.C., Li, C.M.: Multiparty quantum secret sharing based on GHZ states. Phys. Scr. 83, 045004 (2011)

  28. Gao, G.: Multiparty quantum secret sharing using two-photon three-dimensional Bell states. Commun. Theor. Phys. 52, 421-4 (2009)

  29. Liu, X.F., Pan, R.J.: Cryptanalysis of quantum secret sharing based on GHZ states. Phys. Scr. 84(4), 045015 (2011)

  30. Xie, C., Li, L.Z., Qiu, D.W.: A Novel Semi-Quantum Secret Sharing Scheme of Specific Bits. Int. J. Theor. Phys. 54(10), 3819-3824 (2015)

  31. Yin, A.H., Tong, Y.: A novel semi-quantum secret sharing scheme using entangled states. Mod. Phys. Lett. B. 32(22) (2018)

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 61762039.

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Correspondence to Tong Chen.

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Yin, A., Chen, T. Authenticated Semi-Quantum Secret Sharing Based on GHZ-Type States. Int J Theor Phys 60, 265–273 (2021). https://doi.org/10.1007/s10773-020-04688-7

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  • DOI: https://doi.org/10.1007/s10773-020-04688-7

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