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Fault Tolerant Authenticated Quantum Dialogue Based on Logical Qubits and Controlled-Not Operations

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Abstract

In this paper, two fault tolerant authenticated quantum dialogue (AQD) protocols against the collective-dephasing noise and the collective-rotation noise are constructed, respectively, by using logical qubits and controlled-not (CNOT) operations. The proposed protocols can accomplish the mutual identity authentications between two communicants before decoding and overcome the information leakage problem. The quantum measurements throughout the proposed protocols can be simplified into the single-photon measurements. Moreover, they have the information-theoretical efficiency as high as 50%. Different from the recent fault tolerant QD protocols generating two adjacent logical qubits in the same state, the proposed protocols do not have this special requirement.

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References

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

    Article  ADS  Google Scholar 

  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. Nguyen, B.A.: Quantum dialogue. Phys. Lett. A. 328(1), 6–10 (2004)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Zhang, Z.J., Man, Z.X.: Secure direct bidirectional communication protocol using the Einstein-Podolsky-Rosen pair block. http://arxiv.org/pdf/quant-ph/0403215.pdf (2004)

  7. Zhang, Z.J., Man, Z.X.: Secure bidirectional communication protocol without quantum channel. http://arxiv.org/pdf/quant-ph/0403217.pdf (2004)

  8. Man, Z.X., Zhang, Z.J., Li, Y.: Chin. Phys. Lett. 22(1), 22–24 (2005)

    Article  ADS  Google Scholar 

  9. 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 

  10. 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. 39(18), 3855–3863 (2006)

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

  12. 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)

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

    Article  ADS  Google Scholar 

  14. 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 354 (2006) 67]. Phys. Lett. A. 372(18), 3333–3336 (2008)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  15. 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)

  16. Tan, Y.G., Cai, Q.Y.: Classical correlation in quantum dialogue. Int. J. Quantum Inf. 6(2), 325–329 (2008)

  17. 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 

  18. 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 

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

    Article  ADS  Google Scholar 

  20. 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)

  21. Shi, G.F., Tian, X.L.: Quantum secure dialogue based on single photons and controlled-not operations. J. Mod. Opt. 57(20), 2027–2030 (2010)

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

  23. 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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. Ye, T.Y., Jiang, L.Z.: Quantum dialogue without information leakage based on the entanglement swapping between any two Bell states and the shared secret Bell state. Phys. Scr. 89(1), 015103 (2014)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  26. Ye, T.Y.: Quantum dialogue without information leakage using a single quantum entangled state. Int. J. Theor. Phys. 53(11), 3719–3727 (2014)

  27. Zheng, C., Long, G.F.: Quantum secure direct dialogue using Einstein-Podolsky-Rosen pairs. Sci. China Phys. Mech. Astron. 57(7), 1238–1243 (2014)

  28. Zhou, N.R., Hua, T.X., Wu, G.T., He, C.S., Zhang, Y.: Single-photon secure quantum dialogue protocol without information leakage. Int. J. Theor. Phys. 53(11), 3829–3837 (2014)

  29. Luo, Y.P., Lin, C.Y., Hwang, T.: Efficient quantum dialogue using single photons. Quantum Inf. Process. 13(11), 2451–2461 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  30. 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  MATH  Google Scholar 

  31. Hwang, T., Luo, Y.P.: Probabilistic authenticated quantum dialogue. Quantum Inf. Process. 14(12), 4631–4650 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  32. Ye, T.Y.: Secure quantum dialogue via cavity QED. Int. J. Theor. Phys. 54(3), 772–779 (2015)

    Article  MATH  Google Scholar 

  33. Lin, C.Y., Yang, C.W., Hwang, T.: Authenticated quantum dialogue based on bell states. Int. J. Theor. Phys. 54(3), 780–786 (2015)

    Article  MATH  Google Scholar 

  34. Kao, S.H., Hwang, T.: Controlled quantum dialogue robust against conspiring users. Quantum Inf. Process. 15(10), 4313–4324 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  35. Yu, Z.B., Gong, L.H., Zhu, Q.B., Cheng, S., Zhou, N.R.: Efficient three-party quantum dialogue protocol based on the continuous variable GHZ states. Int. J. Theor. Phys. 55(7), 3147–3155 (2016)

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

  37. Kao, S.H., Hwang, T.: Controlled quantum dialogue using cluster states. Quantum Inf. Process. 16, 139 (2017)

    Article  ADS  MATH  Google Scholar 

  38. Li, W., Zha, X.W., Yu, Y.: Secure quantum dialogue protocol based on four-qubit cluster state. Int. J. Theor. Phys. 57(2), 371–380 (2018)

  39. Ye, T.Y.: Semi-quantum dialogue based on single photons. Int. J. Theor. Phys. 57(5), 1440–1454 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  40. Li, X.H., Deng, F.G., Zhou, H.Y.: Efficient quantum key distribution over a collective noise channel. Phys. Rev. A. 78, 022321 (2008)

    Article  ADS  Google Scholar 

  41. Li, X.H., Zhao, B.K., Sheng, Y.B., Deng, F.G., Hong, Y.Z.: Fault tolerant quantum key distribution based on quantum dense coding with collective noise. Int. J. Quantum Inf. 7(8), 1479–1489 (2009)

  42. Walton, Z.D., Abouraddy, A.F., Sergienko, A.V., Saleh, B.E.A., Teich, M.C.: Decoherence-free subspaces in quantum key distribution. Phys. Rev. Lett. 91, 087901 (2003)

    Article  ADS  Google Scholar 

  43. Boileau, J.C., Gottesman, D., Laflamme, R., Poulin, D., Spekkens, R.W.: Robust polarization-based quantum key distribution over a collective-noise channel. Phys. Rev. Lett. 92, 017901 (2004)

    Article  ADS  Google Scholar 

  44. Zhang, Z.J.: Robust multiparty quantum secret key sharing over two collective-noise channels. Physica A. 361, 233–238 (2006)

    Article  ADS  Google Scholar 

  45. Gu, B., Pei, S.X., Song, B., Zhong, K.: Deterministic secure quantum communication over a collective-noise channel. Sci. China Ser. G Phys. Mech. Astron. 52(12), 1913–1918 (2009)

    Article  ADS  Google Scholar 

  46. Gu, B., Mu, L.L., Ding, L.G., Zhang, C.Y., Li, C.Q.: Fault tolerant three-party quantum secret sharing against collective noise. Opt. Commun. 283, 3099–3103 (2010)

  47. Yang, C.W., Tsai, C.W., Hwang, T.: Fault tolerant two-step quantum secure direct communication protocol against collective noises. Sci. China Phys. Mech. Astron. 54(3), 496–501 (2011)

    Article  ADS  Google Scholar 

  48. Gu, B., Zhang, C.Y., Cheng, G.S., Huang, Y.G.: Robust quantum secure direct communication with a quantum one-time pad over a collective-noise channel. Sci. China Ser. G Phys. Mech. Astron. 54(5), 942–947 (2011)

  49. Lin, J., Hwang, T.: Bell state entanglement swappings over collective noises and their applications on quantum cryptography. Quantum Inf. Process. 12, 1089–1107 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  50. Yang, C.W., Hwang, T.: Quantum dialogue protocols immune to collective noise. Quantum Inf. Process. 12, 2131–2142 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  51. Ye, T.Y.: Information leakage resistant quantum dialogue against collective noise. Sci. China Phys. Mech. Astron. 57(12), 2266–2275 (2014)

  52. Ye, T.Y.: Robust quantum dialogue based on logical qubits and controlled-not operations. Sci. Sin. Phys. Mech. Astron. 45(3), 030301 (In chinese) (2015)

  53. Ye, T.Y.: Robust quantum dialogue based on a shared auxiliary logical Bell state against collective noise. Sci. Sin. Phys. Mech. Astron. 45(4), 040301 (In chinese) (2015)

  54. 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)

  55. 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)

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

    Article  MathSciNet  MATH  Google Scholar 

  57. 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  MATH  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  59. 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 

  60. Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85, 5635–5638 (2000)

    Article  ADS  Google Scholar 

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Acknowledgements

Funding by General Research Project of Zhejiang Provincial Department of Education (Grant No.Y201840249) and Research Project of Zhejiang Provincial Department of Water Resources (Grant No.RC1861) is gratefully acknowledged.

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  1. School of Electrical Engineering, Zhejiang University of Water Resources and Electric Power, Hangzhou, 310018, People’s Republic of China

    Yan-Feng Lang

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Lang, YF. Fault Tolerant Authenticated Quantum Dialogue Based on Logical Qubits and Controlled-Not Operations. Int J Theor Phys 58, 531–542 (2019). https://doi.org/10.1007/s10773-018-3952-7

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