Abstract
Quantum secure direct communication is an important communication mode of quantum communications. Its development and application are mainly limited by the channel capacity and channel loss. Here, in this paper, a high-dimensional measurement-device-independent quantum secure direct communication protocol is proposed. The quantum information is encoded on the spatial mode of the photons which enlarges the coding Hilbert space and results in the high efficiency, feasibility with existing technique, and tolerance of channel noise. Based on realistic experimental parameters, the efficiency of communications is analytically derived and numerically discussed.
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Bennett, C.H.B.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India, IEEE, New York, p. 175 (1984)
Bennett, C.H., Brassard, G., Mermin, N.D.: Quantum cryptography without Bell’s theorem. Phys. Rev. Lett. 68, 557 (1992)
Bruß, D.: Optimal eavesdropping in quantum cryptography with six states. Phys. Rev. Lett. 81, 3018 (1998)
Lo, H.-K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)
Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85, 441 (2000)
Mayers, D.: Unconditional security in quantum cryptography. JACM 48, 351–406 (2001)
Hwang, W.-Y.: Quantum key distribution with high loss: toward global secure communication. Phys. Rev. Lett. 91, 057901 (2003)
Acín, A., Brunner, N., Scarani, V.: Device-independent security of quantum cryptography against collective attacks. Phys. Rev. Lett. 98, 230501 (2007)
Lo, H.-K., Curty, M., Qi, B.: Measurement-device-independent quantum key distribution. Phys. Rev. Lett. 108, 130503 (2012)
Ferreira da Silva, T., Vitoreti, D., von der Weid, J.P.: Proof-of-principle demonstration of measurement-device-independent quantum key distribution using polarization qubits. Phys. Rev. A 88, 052303 (2013)
Lucamarini, M., Yuan, Z.L., Dynes, J.F., Shields, A.J.: Overcoming the rate-distance limit of quantum key distribution without quantum repeaters. Nature 557, 400 (2018)
Hillery, M., Buek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)
Li, L., Qiu, D., Mateus, P.: Quantum secret sharing with classical Bobs. J. Phys. A Math. Theor. 46, 045304 (2013)
Long, G.-L., Liu, X.-S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 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, 042317 (2003)
Zhang, W., Ding, D.-S., Sheng, Y.-B., Zhou, L., Shi, B.-S., Guo, G.-C.: Quantum secure direct communication with quantum memory. Phys. Rev. Lett. 118, 220501 (2017)
Zhou, Z.R., Sheng, Y.B., PengHao, N., Yin, L.G., Long, G.L., Hanzo, L.: Measurement-device-independent quantum secure direct communication. Sci. China Phys. Mech. Astron. 63, 230362 (2020)
Zhou, L., Sheng, Y.-B., Long, G.-L.: Device-independent quantum secure direct communication against collective attacks. Sci. Bull. 65, 12 (2020)
Pan, D., Lin, Z., Wu, J., Sun, Z., Ruan, D., Yin, L., Long, G.: Experimental free-space quantum secure direct communication and its security analysis. arXiv:2005.05102
Deng, F.-G., Long, G.L.: 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)
Hu, J.-Y., Bo, Yu., Jing, M.-Y., Xiao, L.-T., Jia, S.-T., Qin, G.-Q., Long, G.-L.: Experimental quantum secure direct communication with single photons. Light Sci. Appl. 5, e16144 (2016)
Zhu, F., Zhang, W., Sheng, Y., Huang, Y.: Experimental long-distance quantum secure direct communication. Sci. Bull. 62, 1519 (2017)
Qi, R., Sun, Z., Lin, Z., Niu, P., Hao, W., Song, L., Huang, Q., Gao, J., Yin, L., Long, G.-L.: Implementation and security analysis of practical quantum secure direct communication. Light Sci. Appl. 8, 1 (2019)
Fung, C.-H.F., Qi, B., Tamaki, K., Lo, H.-K.: Phase-remapping attack in practical quantum-key-distribution systems. Phys. Rev. A 75, 032314 (2007)
Zhao, Y., Fung, C.-H.F., Lo, H.-K.: Quantum hacking: experimental demonstration of time-shift attack against practical quantum-key-distribution systems. Phys. Rev. A 78, 042333 (2008)
Lydersen, L., Wiechers, C., Makarov, V.: Hacking commercial quantum cryptography systems by tailored bright illumination. Nat. Photonics 4, 686 (2010)
Feihu, X., Qi, B., Lo, H.-K.: Experimental demonstration of phase-remapping attack in a practical quantum key distribution system. New J. Phys. 12, 113026 (2010)
Biham, E., Mor, T.: Security of quantum cryptography against collective attacks. Phys. Rev. Lett. 78, 2256 (1997)
Wyner, A.D.: The wire-tap channel. Bell Syst. Tech. J. 54, 1355 (1975)
Bennett, C.H.B.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
Reck, M., Zeilinger, A., Bernstein, H.J., Bertani, P.: Experimental realization of any discrete unitary operator. Phys. Rev. Lett. 73, 58 (1994)
Renner, R., Nicolas, G., Kraus, B.: Information-theoretic security proof for quantum-key-distribution protocols. Phys. Rev. A 72, 012332 (2005)
Nielsen, M.A., Chuang, I.L.: Quantum information and quantum computation, vol. 2. Cambridge University Press, Cambridge (2000)
Dellantonio, L., Sørensen, A.S., Bacco, D.: High-dimensional measurement-device-independent quantum key distribution on two-dimensional subspaces. Phys. Rev. A 98, 062301 (2018)
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The authors gratefully acknowledge the Project funded by the Fundamental Research Funds for the Central Universities (BNU).
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Liu, L., Niu, JL., Fan, CR. et al. High-dimensional measurement-device-independent quantum secure direct communication. Quantum Inf Process 19, 404 (2020). https://doi.org/10.1007/s11128-020-02908-x
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DOI: https://doi.org/10.1007/s11128-020-02908-x