Skip to main content
Log in

Quantum dialogue protocols immune to collective noise

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

This work proposes two quantum dialogue protocols, each of which is robust against one of the following two kinds of collective noise: collective-dephasing noise and collective-rotation noise. Both quantum dialogue protocols are constructed from four-qubit DF states that consist of two Bell states. The receiver simply performs two Bell state measurements to obtain the secret message. Moreover, the proposed protocols are free from information leakage because some shared private quantum states are established in the new protocols to allow the legitimate users to exchange their secret messages securely.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Man, Z.X., Zhang, Z.J., Li, Y.: Quantum dialogue revisited. Chinese Phys. Lett. 22(1), 22–24 (2005)

    Article  ADS  Google Scholar 

  3. Man, Z.X., Xia, Y.J., Zhang, Z.J.: Secure deterministic bidirectional communication without entanglement. Int. J. Quantum Inf. 4(4), 739–746 (2006)

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  6. 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 

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

    Article  ADS  Google Scholar 

  8. Li, X.H., Deng, F.G., Zhou, H.Y.: Efficient quantum key distribution over a collective noise channel. Phys. Rev. A 78(2), 022321 (2008)

    Article  ADS  Google Scholar 

  9. Yang, C.-W., Tsai, C.-W., Hwang, T.: Thwarting intercept-and-resend attack on Zhang’s quantum secret sharing using collective rotation noises. Quantum Inf. Process. 11(1), 113–122 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  10. Zanardi, P., Rasetti, M.: Noiseless quantum codes. Phys. Rev. Lett. 79(17), 3306 (1997)

    Article  ADS  Google Scholar 

  11. Knill, E., Laflamme, R., Viola, L.: Theory of quantum error correction for general noise. Phys. Rev. Lett. 84(11), 2525 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Kwiat, P.G., Berglund, A.J., Altepeter, J.B., White, A.G.: Experimental verification of decoherence-free subspaces. Science 290(5491), 498–501 (2000)

    Article  ADS  Google Scholar 

  13. Kempe, J., Bacon, D., Lidar, D., Whaley, K.: Theory of decoherence-free fault-tolerant universal quantum computation. Phys. Rev. A 63(4), 042307 (2001)

    Article  ADS  Google Scholar 

  14. 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(1), 017901 (2004)

    Article  ADS  Google Scholar 

  15. Zhang, Z.J.: Robust multiparty quantum secret key sharing over two collective-noise channels. Phys. A 361(1), 233–238 (2006)

    Article  ADS  Google Scholar 

  16. Cabello, A.: Six-qubit permutation-based decoherence-free orthogonal basis. Phys. Rev. A 75(2), 020301 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  17. Sun, Y., Wen, Q.Y., Gao, F., Zhu, F.C.: Robust variations of the Bennett-Brassard 1984 protocol against collective noise. Phys. Rev. A 80(3), 032321 (2009)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  20. Xiu, X.M., Dong, L., Gao, Y.J., Chi, F.: Quantum key distribution protocols with six-photon states against collective noise. Opt. Commun. 282(20), 4171–4174 (2009)

    Article  ADS  Google Scholar 

  21. Sun, Y., Wen, Q.Y., Zhu, F.C.: Improving the multiparty quantum secret sharing over two collective-noise channels against insider attack. Opt. Commun. 283(1), 181–183 (2010)

    Article  ADS  Google Scholar 

  22. 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(15), 3099–3103 (2010)

    Article  ADS  Google Scholar 

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

    Google Scholar 

  24. Yang, C.-W., Hwang, T.: Improved QSDC protocol over a collective-dephasing noise channel. Int. J. Theor. Phys. 51(12), 3941–3950 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  25. Zhao, Z., Chen, Y.-A., Zhang, A.-N., Yang, T., Briegel, H.J., Pan, J.-W.: Experimental demonstration of five-photon entanglement and open-destination teleportation. Nature 430(6995), 54–58 (2004)

    Article  ADS  Google Scholar 

  26. Hwang, T., Hwang, C.-C., Yang, C.-W., Li, C.-M.: Revisiting Deng et al’.s Multiparty Quantum Secret Sharing Protocol. Int. J. Theor. Phys. 50(9), 2790–2798 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  27. Yang, C.-W., Hwang, T., Luo, Y.-P.: Enhancement on “Quantum blind signature based on two-state vector formalism”. Quantum Inf. Process. doi:10.1007/s11128-012-0362-2 (2012)

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

    MathSciNet  MATH  Google Scholar 

  29. Bennett, C. H., Brassard, G.: Quantum cryptography: Public key distribution and coin tossing. In: Presented at the Proceedings of IEEE International Conference on Computers Systems and Signal Processing, Bangalore, India (1984)

  30. Gao, F., Wen, Q.-Y., Zhu, F.-C.: Comment on: “Quantum exam” [Phys. Lett. A 350 (2006) 174]. Phys. Lett. A 360(6), 748–750 (2007)

    Article  ADS  Google Scholar 

  31. Gao, F., Guo, F.-Z., Wen, Q.-Y., Zhu, F.-C.: Comment on “Quantum key distribution for d-level systems with generalized Bell states”. Phys. Rev. A 72(6), 066301 (2005)

    Article  ADS  Google Scholar 

  32. Gao, F., Guo, F.-Z., Wen, Q.-Y., Zhu, F.-C.: Comment on “Quantum secret sharing based on reusable Greenberger-Horne-Zeilinger states as secure carriers”. Phys. Rev. A 72(3), 036302 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  33. Qin, S.-J., Gao, F., Guo, F.-Z., Wen, Q.-Y.: Comment on “Two-way protocols for quantum cryptography with a nonmaximally entangled qubit pair”. Phys. Rev. A 82(3), 036301 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  34. Gao, F., Lin, S., Wen, Q.-Y., Zhu, F.-C.: A special eavesdropping on one-sender versus N-receiver QSDC protocol. Chinese Phys. Lett. 25(5), 1561 (2008)

    Article  ADS  Google Scholar 

  35. Gao, F., Qin, S.-J., Wen, Q.-Y., Zhu, F.-C.: Cryptanalysis of multiparty controlled quantum secure direct communication using Greenberger-Horne-Zeilinger state. Opt. Commun. 283(1), 192–195 (2010)

    Article  ADS  Google Scholar 

  36. Qin, S.-J., Gao, F., Wen, Q.-Y., Meng, L.-M., Zhu, F.-C.: Cryptanalysis and improvement of a secure quantum sealed-bid auction. Opt. Commun. 282(19), 4014–4016 (2009)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

We would like to thank the anonymous reviewers for their very valuable comments, which greatly enhanced the clarity of this paper. We would also like to thank the National Science Council of Republic of China, for the financial support of this research under Contract No. NSC 100-2221-E-006-152-MY3.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tzonelih Hwang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, CW., Hwang, T. Quantum dialogue protocols immune to collective noise. Quantum Inf Process 12, 2131–2142 (2013). https://doi.org/10.1007/s11128-012-0514-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11128-012-0514-4

Keywords

Navigation