Abstract
Recently, the idea of semi-quantumness has been often used in designing quantum cryptographic schemes, which allows some of the participants of a quantum cryptographic scheme to remain classical. One of the reasons why this idea is popular is that it allows a quantum information processing task to be accomplished by using quantum resources as few as possible. In this paper, we extend the idea to quantum secure direct communication(QSDC) by proposing a semi-quantum secure direct communication scheme. In the scheme, the message sender, Alice, encodes each bit into a Bell state \(|\varphi ^{+}\rangle =\frac {1}{\sqrt 2}(|00\rangle +|11\rangle )\) or \(|{\Psi }^{+}\rangle =\frac {1}{\sqrt 2}(|01\rangle +|10\rangle )\), and the message receiver, Bob, who is classical in the sense that he can either let the qubit he received reflect undisturbed, or measure the qubit in the computational basis |0〉, |1〉 and then resend it in the state he found. Moreover, the security analysis of our scheme is also given.
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Bennett. C.H., Brassard, G.: Public key distribution and coin tossing. In: Proceedings of the IEEE international conference on computers, systems and signal processing, Bangalore, pp. 175–179. IEEE, New York (1984)
Hillery, M., Buoek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)
Bostrom, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (2002)
Cai, Q.: The Ping-Pong protocol can be attacked without eavesdropping. Phys. Rev. Lett. 91, 109801 (2003)
Wojcik, A.: Eavesdropping on the ping-pong quantum communication protocol. Phys. Rev. Lett. 90, 157901 (2003)
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)
Wang, C., Deng, F.G., Li, Y.S., et al.: Quantum secure direct communication with high-dimension quantum superdense coding. Phys. Rev. A 71, 044305 (2005)
Lee, H., Lim, J., Yang, H.J.: Quantum direct communication with authentication. Phys. Rev. A 73, 042305 (2006)
Zhang, Z., Liu, J., Wang, D., et al.: Comment on Quantum direct communication with authentication. Phys. Rev. A 75, 026301 (2007)
Deng, F.G., Li, X.H., Li, C.Y., et al.: Quantum secure direct communication network with Einstein-CPodolsky-CRosen pairs. Phys. Lett. A 359, 359–365 (2006)
Zhu, A.D., Xia, Y., Fan, Q.B., et al.: Secure direct communication based on secret transmitting order of particles. Phys. Rev. A 73, 022338 (2006)
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, 054302 (2006)
Lin, S., Wen, Q.Y., Gao, F., et al.: Quantum secure direct communication with χ-type entangled states. Phys. Rev. A 78, 064304.9 (2008)
Beige, A., Englert, B.G., Kurtsiefer, C., et al.: Secure communication with single-photon two-qubit states. J. Phys. A Math. Gen. 35, L407 (2002)
Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69, 052319 (2004)
Wang, J., Zhang, Q., Tang, C.: Quantum secure direct communication based on order rearrangement of single photons. Phys. Lett. A 358, 256–258 (2006)
Luo, Y.-P., Hwang, T.: Authenticated semi-quantum direct communication protocols using Bell states. Quantum Inf. Process. 15, 947–958 (2016)
Zou, X.F., Qiu, D.W.: Three-Step semiquantum secure direct communication protocol. Science China Physics, Mechanics Astronomy (2014)
Boyer, M., Kenigsberg, D., Mor, T.: Quantum key distribution with classical Bob. Phys. Rev. Lett. 99(14), 140501 (2007)
Li, Q., Chan, W.H., Long, D.Y.: Semiquantum secret sharing using entangled states. Phys. Rev. A. 82(2), 022303 (2010)
Li, L.Z., Qiu, D.W., Mateus, P.: Quantum secret sharing with classical Bobs. J. Phys. A: Math. Theor. 46, 045304 (2013)
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, 156–162 (2013)
Yang, C.W., Hwang, T.: Efficient key construction on semi-quantum secret sharing protocols. Int. J. Quant. Inform. 11(5), 1350052 (2013)
Xie, C., Li, L.Z., Qiu, D.W.: A novel Semi-Quantum secret sharing scheme of specific bits. Int. J. Theor. Phys. 54, 3819–3824 (2015). 57(9) 1696-1702
Krawec, W.O.: Mediated semiquantum key distribution. Phys. Rev. A. 91(3), 032323 (2015)
Li, Q., Chan, W.H., Zhang, S.Y.: Semiquantum key distribution with secure delegated quantum computation. Sci. Rep. 6, 19898 (2015)
He J., Li Q., Wu C., Chan W.H., Zhang S.: Measurement-device-independent semiquantum key distribution. Int. J. Quantum Inf. 16, 1850012 (2018)
Acknowledgments
We are very grateful to the reviewers and the editors for their invaluable comments and detailed suggestions that helped to improve the quality of the present paper. This work is supported by the National Natural Science Foundation of China (Grant Nos. 61502179, 61472452 and 61772565), the Natural Science Foundation of Guangdong Province of China (No. 2017A030313378), the Science and Technology Program of Guangzhou City of China (No. 201707010194), the Fundamental Research Funds for the Central Universities (No. 17lgzd29).
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Xie, C., Li, L., Situ, H. et al. Semi-quantum Secure Direct Communication Scheme Based on Bell States. Int J Theor Phys 57, 1881–1887 (2018). https://doi.org/10.1007/s10773-018-3713-7
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DOI: https://doi.org/10.1007/s10773-018-3713-7