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Efficient Quantum Dialogue Using a Photon in Double Degrees of Freedom

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Abstract

In order to increase the capacity of quantum communication, several quantum dialogue (QD) protocols, including this work, are based on single photons in both polarization and spatial-mode degrees of freedom (PSDF). Some of them use seven or four composite unitary operations to implement a QD protocol, while this work adopts a mere two single unitary operations to do. Most importantly, their information-theoretical efficiencies are generally only 50%, yet that of this work is up to 66.67%. The analyses show that the proposed QD protocol is safe without information leakage. It does not adopt auxiliary photons either and simply needs single photons in PSDF, whose preparation and measurement can be easily implemented with current technology. So, it is not only of great feasibility in practice, but also simple and efficient.

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References

  1. 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. Bangalore: IEEE Press, 175–179 (1984)

  2. Bostrom, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (2002)

    Article  ADS  Google Scholar 

  3. 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 

  4. Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A. 69, 052319 (2004)

    Article  ADS  Google Scholar 

  5. 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 

  6. Li, X.H., Li, C.Y., Deng, F.G., Zhou, P., Liang, Y.J., Zhou, H.Y.: Quantum secure direct communication with quantum encryption based on pure entangled states. Chin. Phys. 16(8), 2149–2153 (2007)

    Article  Google Scholar 

  7. Wang, T.J., Li, T., Du, F.F., Deng, F.G.: High-capacity quantum secure direct communication based on quantum hyperdense coding with hyperentanglement. Chin. Phys. Lett. 28(4), 040305 (2011)

    Article  ADS  Google Scholar 

  8. 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)

    Article  ADS  Google Scholar 

  9. Sun, Z.W., Du, R.G., Long, D.Y.: Quantum secure direct communication with two-photon fourqubit cluster states. Int. J. Theor. Phys. 51, 1946–1952 (2012)

    Article  Google Scholar 

  10. 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)

    Article  Google Scholar 

  11. Jin, X.R., Ji, X., Zhang, Y.Q., Zhang, S., Hong, S.K., Yeon, K.H., Um, C.I.: Three-party quantum secure direct communication based on GHZ states. Phys. Lett. A. 354(1–2), 67–70 (2006)

    Article  ADS  Google Scholar 

  12. Man, Z.X., Xia, Y.J.: Controlled bidirectional quantum direct communication by using a GHZ state. Chin. Phys. Lett. 23(7), 1680–1682 (2006)

    Article  ADS  Google Scholar 

  13. Ji, X., Zhang, S.: Secure quantum dialogue based on single-photon. Chin. Phys. 15(7), 1418–1420 (2006)

    Article  Google Scholar 

  14. Man, Z.X., Xia, Y.J., Nguyen, B.A.: Quantum secure direct communication by using GHZ states and entanglement swapping. J. Phys. B-At. Mol. Opt. Phys. 39(18), 3855–3863 (2006)

    Article  ADS  Google Scholar 

  15. Yang, Y.G., Wen, Q.Y.: Quasi-secure quantum dialogue using single photons. Sci. China Ser. GPhys. Mech. Astron. 50(5), 558–562 (2007)

    Article  ADS  Google Scholar 

  16. Shan, C.J., Liu, J.B., Cheng, W.W., Liu, T.K., Huang, Y.X., Li, H.: Bidirectional quantum secure direct communication in driven cavity QED. Mod. Phys. Lett. B. 23(27), 3225–3234 (2009)

    Article  ADS  Google Scholar 

  17. Ye, T.Y., Jiang, L.Z.: Improvement of controlled bidirectional quantum secure direct communication by using a GHZ state. Chin. Phys. Lett. 30(4), 040305 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  18. Tan, Y.G., Cai, Q.Y.: Classical correlation in quantum dialogue. Int. J. Quant. Inform. 6(2), 325–329 (2008)

    Article  Google Scholar 

  19. Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: Comment on: “Three-party quantum secure direct communication based on GHZ states”. Phys. Lett. A. 372(18), 3333–3336 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  20. Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Revisiting the security of quantum dialogue and bidirectional quantum secure direct communication. Sci. China Ser. G Phys. Mech. Astron. 51(5), 559–566 (2008)

    Article  ADS  Google Scholar 

  21. Shi, G.F., Xi, X.Q., Tian, X.L., Yue, R.H.: Bidirectional quantum secure communication based on a shared private bell state. Opt. Commun. 282(12), 2460–2463 (2009)

    Article  ADS  Google Scholar 

  22. Shi, G.F., Xi, X.Q., Hu, M.L., Yue, R.H.: Quantum secure dialogue by using single photons. Opt. Commun. 283(9), 1984–1986 (2010)

    Article  ADS  Google Scholar 

  23. Shi, G.F.: Bidirectional quantum secure communication scheme based on bell states and auxiliary particles. Opt. Commun. 283(24), 5275–5278 (2010)

    Article  ADS  Google Scholar 

  24. Gao, G.: Two quantum dialogue protocols without information leakage. Opt. Commun. 283(10), 2288–2293 (2010)

    Article  ADS  Google Scholar 

  25. Ye, T.Y.: Large payload bidirectional quantum secure direct communication without information leakage. Int. J. Quant. Inform. 11(5), 1350051 (2013)

    Article  MathSciNet  Google Scholar 

  26. Ye, T.Y.: Quantum secure dialogue with quantum encryption. Commun. Theor. Phys. 62(3), 338–342 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  27. Huang, L.Y., Ye, T.Y.: A kind of quantum dialogue protocols without information leakage assisted by auxiliary quantum operation. Int. J. Theor. Phys. 54(8), 2494–2504 (2015)

    Article  MathSciNet  Google Scholar 

  28. Wang, L.L., Ma, W.P., Shen, D.S., Wang, M.L.: Efficient bidirectional quantum secure direct communication with single photons in both polarization and spatial-mode degrees of freedom. Int. J. Theor. Phys. 54, 3443–3453 (2015)

    Article  MathSciNet  Google Scholar 

  29. Zhang, C., Situ, H.Z.: Information leakage in efficient bidirectional quantum secure direct communication with single photons in both polarization and spatial-mode degrees of freedom. Int. J. Theor. Phys. 55, 4702–4708 (2016)

    Article  Google Scholar 

  30. Wang, L.L., Ma, W.P., Wang, M.L., Shen, D.S.: Three-party quantum secure direct communication with single photons in both polarization and spatial-mode degrees of freedom. Int. J. Theor. Phys. 55, 2490–2499 (2016)

    Article  Google Scholar 

  31. Ye, T.Y., Li, H.K., Hu, J.L.: Information leakage resistant quantum dialogue with single photons in both polarization and spatial-mode degrees of freedom. Quantum Inf. Process. 20(6), 209 (2021). https://doi.org/10.1007/s11128-021-03120-1

    Article  MathSciNet  ADS  Google Scholar 

  32. 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(5), 1049–1052 (2005)

    Article  ADS  Google Scholar 

  33. Li, C.Y., Li, X.H., Deng, F.G., Zhou, P., Liang, Y.J., Zhou, H.Y.: Efficient quantum cryptography network without entanglement and quantum memory. Chin. Phys. Lett. 23(11), 2896–2899 (2006)

    Article  ADS  Google Scholar 

  34. Shannon, C.E.: Communication theory of secrecy system. Bell. Syst. Tech. J. 28, 656–715 (1949)

    Article  MathSciNet  Google Scholar 

  35. Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85(2), 441–444 (2000)

    Article  ADS  Google Scholar 

  36. Cai, Q.Y.: Eavesdropping on the two-way quantum communication protocols with invisible photons. Phys. Lett. A. 351(1–2), 23–25 (2006)

    Article  ADS  Google Scholar 

  37. Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Quantum cryptography. Rev. Mod. Phys. 74(1), 145–195 (2002)

    Article  ADS  Google Scholar 

  38. Deng, F.G., Zhou, P., Li, X.H., Li, C.Y., Zhou, H.Y.: Robustness of two-way quantum communication protocols against Trojan horse attack. 2005, http://arxiv.org/pdf/quant-ph/0508168.pdf

  39. 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 

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

    Article  ADS  Google Scholar 

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Acknowledgments

The author Lang Yan-Feng thanks Daughter Lang Duo-Zi for her support on this work.

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Authors and Affiliations

  1. School of Electrical Engineering, Zhejiang University of Water Resources and Electric Power, Hangzhou, People’s Republic of China

    Yan-Feng Lang

  2. Key Laboratory for Technology in Rural Water Management of Zhejiang Province, Hangzhou, 310018, People’s Republic of China

    Yan-Feng Lang

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  1. Yan-Feng Lang
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Correspondence to Yan-Feng Lang.

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Lang, YF. Efficient Quantum Dialogue Using a Photon in Double Degrees of Freedom. Int J Theor Phys 61, 105 (2022). https://doi.org/10.1007/s10773-022-05098-7

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