Skip to main content
SpringerLink
Log in

Statistics attack on ‘quantum private comparison with a malicious third party’ and its improvement

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

Recently, Sun et al. (Quantum Inf Process:14:2125-2133, 2015) proposed a quantum private comparison protocol allowing two participants to compare the equality of their secrets via a malicious third party (TP). They designed an interesting trap comparison method to prevent the TP from knowing the final comparison result. However, this study shows that the malicious TP can use the statistics attack to reveal the comparison result. A simple modification is hence proposed to solve this problem.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

  2. Chang, Y.-J., Tsai, C.-W., Hwang, T.: Multi-user private comparison protocol using GHZ class states. Quantum Inf. Process. 12, 1077–1088 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. Guo, F.Z., Gao, F., Qin, S.J., Zhang, J., Wen, Q.Y.: Quantum private comparison protocol based on entanglement swapping of d-level Bell states. Quantum Inf. Process. 12, 2793–2802 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Huang, S.-L., Hwang, T., Gope, P.: Multi-party quantum private comparison with an almost-dishonest third party. Quantum Inf. Process. 14, 4225–4235 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Liu, W.-J., Liu, C., Chen, H.-W., Liu, Z.-H., Yuan, M.-X., Lu, J.-S.: Improvement on an efficient protocol for the quantum private comparison of equality with W state. Int. J. Quantum Inf. 12, 1450001 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. Liu, W.-J., Liu, C., Liu, Z.-H., Liu, J.-F., Geng, H.-T.: Same initial states attack in Yang et al’.s quantum private comparison protocol and the improvement. Int. J. Theor. Phys. 53, 271–276 (2014)

    Article  MATH  Google Scholar 

  7. Liu, W.-J., Liu, C., Wang, H-b, Liu, J.-F., Wang, F., Yuan, X.-M.: Secure quantum private comparison of equality based on asymmetric W state. Int. J. Theor. Phys. 53, 1804–1813 (2014)

    Article  MATH  Google Scholar 

  8. Liu, W., Wang, Y.-B.: Quantum private comparison based on GHZ entangled states. Int. J. Theor. Phys. 51, 3596–3604 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  9. Liu, W., Wang, Y.-B., Wang, X.-M.: Multi-party quantum private comparison protocol using d-dimensional basis states without entanglement swapping. Int. J. Theor. Phys. 53, 1085–1091 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  10. Liu, X.-T., Zhao, J.-J., Wang, J., Tang, C.-J.: Cryptanalysis of the secure quantum private comparison protocol. Phys. Scripta 87, 065004 (2013)

    Article  ADS  Google Scholar 

  11. Luo, Q-b, Yang, G-w, She, K., Niu, W.-N., Wang, Y.-Q.: Multi-party quantum private comparison protocol based on d-dimensional entangled states. Quantum Inf. Process. 13, 2343–2352 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. Sun, Z., Jianping, Y., Wang, P., Xu, L., Wu, C.: Quantum private comparison with a malicious third party. Quantum Inf. Process. 14, 2125–2133 (2015)

    Article  ADS  MATH  Google Scholar 

  13. Tseng, H.-Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11, 373–384 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  14. Xu, G.A., Chen, X.-B., Wei, Z.-H., Li, M.-J., Yang, Y.-X.: An efficient protocol for the quantum private comparison of equality with a four-qubit cluster state. Int. J. Quantum Inf. 10, 1250045 (2012)

    Article  MathSciNet  Google Scholar 

  15. Yang, Y.-G., Wen, Q.-Y.: An efficient two-party quantum private comparison protocol with decoy photons and two-photon entanglement. J. Phys. A Math. Theor. 42, 055305 (2009)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  16. Zhang, W.-W., Li, D., Song, T.-T., Li, Y.-B.: Quantum private comparison based on quantum search algorithm. Int. J. Theor. Phys. 52, 1466–1473 (2013)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

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 105-2221-E-006-162 -MY2.

Author information

Authors and Affiliations

  1. Department of Computer Science and Information Engineering, National Cheng Kung University, No. 1, University Rd., Tainan City, 70101, Taiwan, ROC

    Jun Gu, Chih-Yung Ho & Tzonelih Hwang

Authors
  1. Jun Gu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chih-Yung Ho
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Tzonelih Hwang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tzonelih Hwang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gu, J., Ho, CY. & Hwang, T. Statistics attack on ‘quantum private comparison with a malicious third party’ and its improvement. Quantum Inf Process 17, 23 (2018). https://doi.org/10.1007/s11128-017-1788-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11128-017-1788-3

Keywords

Search

Navigation