Abstract
In this paper, a quantum authencryption protocol is proposed by using the two-photon entangled states as the quantum resource. Two communicants Alice and Bob share two private keys in advance, which determine the generation of two-photon entangled states. The sender Alice sends the two-photon entangled state sequence encoded with her classical bits to the receiver Bob in the manner of one-step quantum transmission. Upon receiving the encoded quantum state sequence, Bob decodes out Alice’s classical bits with the two-photon joint measurements and authenticates the integrity of Alice’s secret with the help of one-way hash function. The proposed protocol only uses the one-step quantum transmission and needs neither a public discussion nor a trusted third party. As a result, the proposed protocol can be adapted to the case where the receiver is off-line, such as the quantum E-mail systems. Moreover, the proposed protocol provides the message authentication to one bit level with the help of one-way hash function and has an information-theoretical efficiency equal to 100 %.
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References
Bennett, C.H., Brassard, G.: Quantum cryptography: public-key distribution and coin tossing. In: Proceedings of the IEEE international conference on computers, systems and signal processing, pp 175–179. IEEE Press, Bangalore (1984)
Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67(6), 661–663 (1991)
Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68, 3121–3124 (1992)
Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85, 5635 (2000)
Deng, F.G., Long, G.L.: Controlled order rearrangement encryption for quantum key distribution. Phys. Rev. A 68, 042315 (2003)
Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999)
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162–168 (1999)
Xiao, L., Long, G.L., Deng, F.G., Pan, JW.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307 (2004)
Hao, L., Li, J.L., Long, G.L.: Eavesdropping in a quantum secret sharing protocol based on Grover algorithm and its solution. Sci. China Ser. G-Phys. Mech. Astron. 53(3), 491–495 (2010)
Hao, L., Wang, C., Long, G.L.: Quantum secret sharing protocol with four state Grover algorithm and its proof-of-principle experimental demonstration. Opt. Commun. 284, 3639–3642 (2011)
Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A, 65, 032302 (2002)
Bostrom, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (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, 042317 (2003)
Deng, F.G., Long, GL.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69, 052319 (2004)
Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Quantum secure direct communication with high-dimension quantum superdense coding. Phys. Rev. A 71, 044305 (2005)
Wang, C., Deng, F.G., Long, GL.: Multi-step quantum secure direct communication using multi-particle Green-Horne-Zeilinger state. Opt. Commun. 253 (1–3), 15–20 (2005)
Wang, C., Deng, F.G., Long, G.L.: Erratum to “Multi-step quantum secure direct communication using multi-particle Green-Horne-Zeilinger state”. Opt. Commun. 262(1), 134 (2006)
Chen, X.B., Wen, Q.Y., Guo, F.Z., Sun, Y., Xu, G., Zhu, F.C.: Controlled quantum secure direct communication with W state. Int. J. Quant. Inform. 6(4), 899–906 (2008)
Gu, B., Huang, Y.G., Fang, X., Zhang, C.Y.: A two-step quantum secure direct communication protocol with hyperentanglement. Chin. Phys. B 20(10), 100309 (2011)
Liu, D., Chen, J.L., Jiang, W.: High-capacity quantum secure direct communication with single photons in both polarization and spatial-mode degrees of freedom. Int. J. Theor. Phys. 51, 2923–2929 (2012)
Lee, H., Lim, J., Yang, H.: Quantum direct communication with authentication. Phys. Rev. A 73, 042305 (2006)
Zhang, Z.J., Liu, J., Wang, D., Shi, SH.: Comment on “Quantum direct communication with authentication”. Phys. Rev. A 75, 026301 (2007)
Yen, C.A., Horng, S.J., Goan, H.S., Kao, T.W., Chou, YH.: Quantum direct communication with mutual authentication. Quantum Inf. Comput. 9, 376–394 (2009)
Liu, W.J., Chen, H.W., Li, Z.Q., Liu, ZH.: Efficient quantum secure direct communication with authentication. Chin. Phys. Lett. 25, 2354–2357 (2008)
Wang, M.J., Pan, W.: Quantum secure direct communication based on authentication. Chin. Phys. Lett. 25, 3860–3863 (2008)
Yang, J., Wang, C.A., Zhang, R.: Quantum secure direct communication with authentication expansion using single photons. Commun. Theor. Phys. 54, 829–834 (2010)
Yang, Y.G., Jia, X., Xia, J., Shi, L., Zhang, H.: Comment on “Quantum secure direct communication with authentication expansion using single photons”. Int. J. Theor. Phys. 51, 3681–3687 (2012)
Liu, D., Pei, C.X., Quan, D.X., Zhao, N.: A new quantum secure direct communication scheme with authentication. Chin. Phys. Lett. 27, 050306 (2010)
Gao, F., Qin, S.J., Guo, F.Z., Wen, Q.Y.: Cryptanalysis of quantum secure direct communication and authentication scheme via Bell states. Chin Phys Lett 28, 020303 (2011)
Tsai, C.W., Wei, T.S., Hwang, T.: One-way quantum authenticated secure communication using rotation operation. Commun. Theor. Phys. 56, 1023–1026 (2011)
Hwang, T., Luo, Y.P., Yang, C.W., Lin, T.H.: Quantum authencryption: one-step authenticated quantum secure direct communications for off-line communicants. Quantum Inf. Process 13, 925–933 (2014)
Yin, X.R., Ma, W.P., Liu, W.Y., Shen, D.S.: Efficient bidirectional quantum secure communication with two-photon entanglement. Quantum Inf. Process 12, 3093–3102 (2013)
Lo, H.K., Chau, HF.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 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)
Shannon, C.E.: Communication theory of secrecy system. Bell System Tech. J. 28, 656–715 (1949)
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Funding by the National Natural Science Foundation of China (Grant Nos.61402407, 11375152) is gratefully acknowledged.
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Introduction: Ye Tian-Yu, is male and born in 1982. He received the Ph.D. degree from Beijing University of Posts and Telecommunications in 2010, and now is a vice professor and a master advisor in Zhejiang Gongshang University. His research interest concentrates on quantum cryptography.
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Ye, TY. Quantum Authencryption with Two-Photon Entangled States for Off-Line Communicants. Int J Theor Phys 55, 867–874 (2016). https://doi.org/10.1007/s10773-015-2729-5
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DOI: https://doi.org/10.1007/s10773-015-2729-5