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New Quantum Key Distribution Scheme Based on Random Hybrid Quantum Channel with EPR Pairs and GHZ States

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Abstract

A theoretical quantum key distribution scheme based on random hybrid quantum channel with EPR pairs and GHZ states is devised. In this scheme, EPR pairs and tripartite GHZ states are exploited to set up random hybrid quantum channel. Only one photon in each entangled state is necessary to run forth and back in the channel. The security of the quantum key distribution scheme is guaranteed by more than one round of eavesdropping check procedures. It is of high capacity since one particle could carry more than two bits of information via quantum dense coding.

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References

  1. Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Quantum cryptography. Rev. Mod. Phys. 74, 145 (2002)

    Article  ADS  MATH  Google Scholar 

  2. Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers, Systems and Signal Processing. Bangalore, India, pp 175–179 (1984)

  3. Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68, 3121 (1992)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302 (2002)

    Article  ADS  Google Scholar 

  6. 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)

    Article  ADS  Google Scholar 

  7. 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)

    Article  ADS  Google Scholar 

  8. Wang, C., Deng, F.G., Long, G.L.: Multi-step quantum secure direct communication using multi-particle Green–Horne–Zeilinger state. Opt. Commun. 253, 15–20 (2005)

    Article  ADS  Google Scholar 

  9. Zhang, W., Ding, D.S., Sheng, Y.B.: Quantum secure direct communication with quantum memory. Phys. Rev. Lett. 118, 220501 (2017)

    Article  ADS  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  11. Zhou, N.R., Li, J.F., Yu, Z.B.: New quantum dialogue protocol based on continuous-variable two-mode squeezed vacuum states. Quantum Inf. Process. 16, 4 (2017)

    Article  ADS  MATH  Google Scholar 

  12. Bennett, C.H., Wiesner, S.J.: Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881 (1992)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. Mattle, K., Weinfurter, H., Kwiat, P.G.: Dense coding in experimental quantum communication. Phys. Rev. Lett. 76, 4656 (1996)

    Article  ADS  Google Scholar 

  14. Hillery, M., Bužek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  15. Schmid, C., Trojek, P., Bourennane, M.: Experimental single qubit quantum secret sharing. Phys. Rev. Lett. 95, 230505 (2005)

    Article  ADS  Google Scholar 

  16. Li, C.Y., Zhou, H.Y., Wang, Y.: Secure quantum key distribution network with Bell states and local unitary operations. Chin. Phys. Lett. 22, 1049 (2005)

    Article  ADS  Google Scholar 

  17. Gong, L.H., Song, H.C., He, C.S.: A continuous variable quantum deterministic key distribution based on two-mode squeezed states. Phys. Scr. 89, 035101 (2014)

    Article  ADS  Google Scholar 

  18. Fang, J., Huang, P., Zeng, G.: Multichannel parallel continuous-variable quantum key distribution with Gaussian modulation. Phys. Rev. A 89, 022315 (2014)

    Article  ADS  Google Scholar 

  19. Ma, H.X., Huang, P., Bai, D.Y., Wang, S.Y., Bao, W.S., Zeng, G.H.: Continuous-variable measurement-device-independent quantum key distribution with photon subtraction. Phys. Rev. A 97, 042329 (2018)

    Article  ADS  Google Scholar 

  20. Leverrier, A., Grangier, P.: Unconditional security proof of long-distance continuous-variable quantum key distribution with discrete modulation. Phys. Rev. Lett 102, 180504 (2009)

    Article  ADS  Google Scholar 

  21. Scarani, V., Bechmann, P.H., Cerf, N.J.: The security of practical quantum key distribution. Rev. Mod. Phys. 81, 1301 (2009)

    Article  ADS  Google Scholar 

  22. Niu, M.Y., Xu, F., Shapiro, J.H.: Finite-key analysis for time-energy high-dimensional quantum key distribution. Phys. Rev. A 94, 052323 (2016)

    Article  ADS  Google Scholar 

  23. Stucki, D., Gisin, N., Guinnard, O.: Quantum key distribution over 67 km with a plug & play system. New J. Phys. 4, 41.1–41.8 (2002)

    Article  Google Scholar 

  24. Wang, S., Yin, Z.Q., Chen, W.: Experimental demonstration of a quantum key distribution without signal disturbance monitoring. Nat. Photon. 9, 832–836 (2015)

    Article  ADS  Google Scholar 

  25. Liao, S.K., Yong, H.L., Liu, C.: Long-distance free-space quantum key distribution in daylight towards inter-satellite communication. Nat. Photon. 11, 116 (2017)

    Article  Google Scholar 

  26. Bennett, C.H., Wiesner, S.J.: Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881 (1992)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  27. Li, C.Y., Zhou, H.Y., Wang, Y., Deng, F.G.: Secure quantum key distribution network with Bell states and local unitary operations. Chin. Phys. Lett. 22, 1049 (2005)

    Article  ADS  Google Scholar 

  28. Lee, H., Lim, J., Yang, H.J.: Quantum direct communication with authentication. Phys. Rev. A 73, 042305 (2006)

    Article  ADS  Google Scholar 

  29. El, A.A., El, B.M., Hassouni, Y.: Quantum key distribution via tripartite coherent states. Quantum Inf. Process. 10, 589–602 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  30. Epping, M., Kampermann, H., Bruß, D.: Multi-partite entanglement can speed up quantum key distribution in networks. New J. Phys. 19, 093012 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  31. Lee, H., Ahn, D., Hwang, S.W.: Dense coding in entangled states. Phys. Rev. A 66, 024304 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  32. Lo, H.K., Chau, H.F., Ardehali, M.: Efficient quantum key distribution scheme and a proof of its unconditional security. J. Crypt. 18, 133–165 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  33. Bennett, C.H., DiVincenzo, D.P., Smolin, J.A.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824 (1996)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  34. Deutsch, D., Ekert, A., Jozsa, R.: Quantum privacy amplification and the security of quantum cryptography over noisy channels. Phys. Rev. Lett. 77, 2818 (1996)

    Article  ADS  Google Scholar 

  35. He, Y.F., Ma, W.P.: Quantum key agreement protocols with four-qubit cluster states. Quantum Inf. Process. 14, 3483–3498 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  36. 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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Pan, J.W., Simon, C., Brukner, Č.: Entanglement purification for quantum communication. Nature 410, 1067–1070 (2001)

    Article  ADS  Google Scholar 

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61561033 and 61462061), the China Scholarship Council (Grant No. 201606825042), the Department of Human Resources and Social security of Jiangxi Province, the Major Academic Discipline and Technical Leader of Jiangxi Province (Grant No. 20162BCB22011), and the Natural Science Foundation of Jiangxi Province (Grant No. 20171BAB202002).

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Authors and Affiliations

  1. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Xing-Yu Yan, Li-Hua Gong & Nan-Run Zhou

  2. Department of Electrical and Computer Engineering, University of Pittsburgh, Pittsburgh, PA, 15261, USA

    Li-Hua Gong & Nan-Run Zhou

  3. Department of Physics, Nanchang University, Nanchang, 330031, China

    Hua-Ying Chen

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  1. Xing-Yu Yan
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  2. Li-Hua Gong
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  3. Hua-Ying Chen
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  4. Nan-Run Zhou
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Correspondence to Nan-Run Zhou.

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Yan, XY., Gong, LH., Chen, HY. et al. New Quantum Key Distribution Scheme Based on Random Hybrid Quantum Channel with EPR Pairs and GHZ States. Int J Theor Phys 57, 2648–2656 (2018). https://doi.org/10.1007/s10773-018-3786-3

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  • DOI: https://doi.org/10.1007/s10773-018-3786-3

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