Skip to main content
Log in

Collusion Attack and Counterattack on the Quantum Key Agreement Via Non-maximally Entangled Cluster States

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Recently, Li et al. (Int J Theor Phys: DOI: https://doi.org/10.1007/s10773-020-04588-w, 2020) proposed a multiparty quantum key agreement protocol via non-maximally entangled cluster states. They claimed that the proposed protocol can help all the involved participants have equal influence on the final shared key. However, this study points out a loophole that makes Li et al.’s protocol suffer from a collusion attack, i.e. several dishonest participants can conspire to manipulate the final shared key without being detected by others. To avoid this loophole, an improvement is proposed here.

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
Fig. 2

Similar content being viewed by others

References

  1. Bennet, C.H., Brassard, G.: Quantum Cryptography: Public Key Distribution and Coin Tossing. In Proceedings of the IEEE International Conference on Computers, pp. 175–179. Systems and Signal Processing, Bangalore, India (1984)

  2. Boyer, M., Kenigsberg, D., Mor, T.: Quantum key distribution with classical Bob. In: Quantum, Nano, and Micro Technologies, 2007. ICQNM'07. First International Conference on, pp. 10–10: IEEE (2007)

  3. Boyer, M., Gelles, R., Kenigsberg, D., Mor, T.: Semiquantum key distribution. Phys. Rev. A. 79(3), 032341 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  4. Lo, H.-K., Ma, X., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94(23), 230504 (2005)

    Article  ADS  Google Scholar 

  5. Renner, R.: Security of quantum key distribution. Int. J. Quant. Inf. 6(01), 1–127 (2008)

    Article  Google Scholar 

  6. Zhou, N., Zeng, G., Xiong, J.: Quantum key agreement protocol. Electron. Lett. 40(18), 1149–1150 (2004)

    Article  ADS  Google Scholar 

  7. Li, T., Wang, X., Jiang, M.: Quantum key agreement via non-maximally entangled cluster states. Int. J. Theor. Phys. 1–16 (2020)

Download references

Acknowledgments

We would like to thank the Ministry of Science and Technology of the Republic of China, Taiwan for partially supporting this research in finance under the Contract No. MOST 109-2221-E-006-168-; No. MOST 108-2221-E-006-107-.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tzonelih Hwang.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gu, J., Hwang, T. Collusion Attack and Counterattack on the Quantum Key Agreement Via Non-maximally Entangled Cluster States. Int J Theor Phys 60, 331–337 (2021). https://doi.org/10.1007/s10773-020-04695-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-020-04695-8

Keywords

Navigation