Abstract
In this paper, we present a novel quantum authentication protocol based on entanglement swapping of Bell states, in which it can ensure two users to simultaneously authenticate each other. With the help of a semi-honest third party, our protocol can realize mutual identity authentication by utilizing Bell states and applying Pauli operators. In addition, this protocol can prevent the third party from knowing the secret key shared in prior between the two users. Finally, the analysis results show that this protocol is secure and efficient.
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Bennett, C.H., Brassard, G.: An update on quantum cryptography. Springer-Verlag. pp. 475-480 (1984)
Ekert, A.K.: Quantum cryptography based on Bell's theorem. Phys. Rev. Lett. 67, 661–663 (1991)
Bennett, C.H., Brassard, G., Mermin, N.D.: Quantum cryptography without Bell's theorem. Phys. Rev. Lett. 68(5), 557 (1992)
Hillery, M., Bužek, V., Berthiaume, A.: Quantum Secret Sharing. Phys. Rev. A59, 1829 (1999)
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A. 59, 162 (1999)
Yang, Y.G., Wen, Q.Y.: Threshold quantum secret sharing between multi-party and multi-party. Sci. China, Ser. G. 51(9), 1308–1315 (2008)
Yan, F.L., Zhang, X.Q.: A scheme for secure direct communication using EPR pairs and teleportation. The European Physical Journal B - Condensed Matter and Complex Systems. 41(1), 75–78 (2004)
Man, Z.X., Zhang, Z.J., Li, Y.: Deterministic secure direct communication by using swapping quantum entanglement and local unitary operators. Chin. Phys. Lett. 22(1), 18–21 (2005)
Xia, Y., Song, J., Song, H.S.: Quantum dialogue using non-maximally entangled states based on entanglement swapping. Phys. Scr. 76(4), 363 (2007)
Xia, Y., Song, J., Song, H.S., Guo, J.L.: Multiparty remote state preparation with linear optical elements. International Journal of Quantum Information. 06(05), 1127–1134 (2008)
Chen, Z.N., Qin, Z., Wang, X.H.: A quasi quantum secure direct communication protocol with authentication. IEEE International Conference on Computer Science & Information Technology. IEEE. pp. 48-52 (2010)
Song, J., Zhu, A.D., Zhang, S.: Quantum secure direct communication protocol with blind polarization bases and particles' transmitting order. Chin. Phys. 16(3), 621–623 (2007)
Créau, C., Salvail, L.: Quantum oblivious mutual identification. Advances in cryptology. In: Proceedings of Eurocrypt ’ 95, p. 133. Springer, Berlin (1995)
Dušek, M., Haderka, O., Hendrych, M., Myška, R.: Quantum identification system. Physical Review A - Atomic, Molecular, and Optical Physics. 60, 149–156 (1999)
Lee, H., Lim, J., Yang, H.J.: Quantum direct communication with authentication. Phys. Rev. A. 73, 042305 (2006)
Zhang, Z., Zeng, G., Zhou, N.: Quantum identity authentication based on ping-pong technique for photons. Phys. Lett. A. 356(3), 199–205 (2006)
Yang, Y.G., Wen, Q.Y.: Economical multiparty simultaneous quantum identity authentication based on Greenberger–Horne–Zeilinger states. Acta Phys. Sin. 18(8), 3233–3237 (2009)
Yang, Y.G., Tian, J., Xia, J.: Quantum authenticated direct communication using Bell states. Int. J. Theor. Phys. 52(2), 336–344 (2013)
Yuan, H., Liu, Y.M., Pan, G.Z.: Quantum identity authentication based on ping-pong technique without entanglements. Quantum Inf. Process. 13(11), 2535–2549 (2014)
Hong, C.H., Heo, J., Jang, J.G.: Quantum identity authentication with single photon. Quantum Inf. Process. 16(10), 236 (2017)
Kang, M.S., Heo, J., Hong, C.H.: Controlled mutual quantum entity authentication with an untrusted third party. Quantum Inf. Process. 17(10), 159 (2018)
Hwang, W.-Y.: Quantum key distribution with high loss: toward global secure communication. Phys.Rev. Lett. 91, 057901 (2003)
Bennett, C.H., Brassard, G., Crépeau, C., Skubiszewska, M.H.: Practical quantum oblivious transfer. Lect. Notes Comput. Sci. 576(12), 351–366 (1991)
Li, X.Y., Chen, L.J.: Quantum authentication protocol using Bell state. International Symposium on Data. IEEE. pp. 128-132 (2007)
Kim, Y.H., Kulik, S.P., Shih, Y.H.: Quantum teleportation of a polarization state with a complete Bell state measurement. Physical Review Letters. Vol. 86, 1370–1373 (2001)
Cinelli, C., Barbieri, M., Martini, F.D., Mataloni, P.: Realization of hyperentangled two-photon states. International Journal of Laser Physics. 15(1), 124–128 (2005)
Zhou, N.R., Zhu, K.N., Zou, X.F.: Multi-party semi-quantum key distribution protocol with four-particle cluster states. Ann. Phys. 531, 1800520 (2019)
Lo, H.: Unconditional security of quantum key distribution over arbitrarily long distances. Science. 283(5410), 2050–2056 (1999)
Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85, 441–444 (2000)
Hong, C.H., Heo, J., Jang, J.G.: Quantum identity authentication with single photon. Quantum Inf. Process. 16(10), 236 (2017)
Shi, R.H., Huang, L.S., Yang, W.: Quantum secret sharing between multiparty and multiparty with Bell states and Bell measurements. Sci. China, Ser. G. 53(12), 2238–2244 (2010)
Abulkasim, H., Hamad, S., Khalifa, A.: Quantum secret sharing with identity authentication based on Bell states. International Journal of Quantum Information. 15(04), 5 (2017)
Kang, M.S., Hong, C.H., Heo, J.: Controlled mutual quantum entity authentication using entanglement swapping. Acta Phys. Sin. 24(9), 90306–090306 (2015)
Zawadzki, P.: Quantum identity authentication without entanglement. Quantum Inf. Process. 18, 1 (2019)
Gong, L.H., Li, J.F., Zhou, N.R.: Continuous variable quantum network dialogue protocol based on single-mode squeezed states. Laser Phys. Lett. 15(10), 105204 (2018)
Zhou, N.R., Zhu, K.N., Bi, W., Gong, L.H.: Semi-quantum identification. Quantum Inf. Process. 18(6), 197 (2019)
Acknowledgments
This work was supported by National Natural Science Foundation of China (No.61772001) and Natural Science Foundation for the Higher Education Institutions of Anhui Province of China (KJ2018A0017).
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Zhang, S., Chen, ZK., Shi, RH. et al. A novel quantum identity authentication based on Bell states. Int J Theor Phys 59, 236–249 (2020). https://doi.org/10.1007/s10773-019-04319-w
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DOI: https://doi.org/10.1007/s10773-019-04319-w