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Multi-Party Quantum Private Comparison Protocol with an Almost-Dishonest Third Party using GHZ States

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Abstract

This article proposes an innovative quantum private comparison (QPC) protocol for n users using GHZ states, where an almost-dishonest third party (TP) is introduced to assist the participants for comparing their secrets. It is argued that as compared to the existing QPC protocols our proposed scheme has some considerable advantages. First, in the existing QPC protocols, the TP can only to determine whether all participants’ secrets are equal or not. Instead of that, in our proposed scheme a TP can even compare the secrets between any subsects of users. Second, since our proposed scheme is based on GHZ state; hence it can ensure higher efficiency as compared to other existing multi-party QPC protocols on d-dimension photons.

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References

  1. 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  MathSciNet  MATH  ADS  Google Scholar 

  2. 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  MathSciNet  MATH  ADS  Google Scholar 

  3. Chen, X.-B., Xu, G., Niu, X.-X., Wen, Q.-Y., Yang, Y.-X.: An efficient protocol for the private comparison of equal information based on the triplet entangled state and single-particle measurement. Opt. Commun. 283, 1561–1565 (2010)

    Article  ADS  Google Scholar 

  4. Tseng, H.-Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process 11, 373–384 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  5. 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 

  6. Liu, W., Wang, Y.-B., Jiang, Z.-T.: An efficient protocol for the quantum private comparison of equality with W state. Opt. Commun. 284, 3160–3163 (2011)

    Article  ADS  Google Scholar 

  7. Liu, W., Wang, Y.-B., Jiang, Z.-T., Cao, Y.-Z.: A protocol for the quantum private comparison of equality with χ-Type state. Int. J. Theor. Phys. 51, 69–77 (2011)

    Article  MathSciNet  Google Scholar 

  8. Liu, W., Wang, Y.B., Cui, W.: Quantum private comparison protocol based on bell entangled states. Commun. Theor. Phys. 57, 583–588 (2012)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  9. Liu, W., Wang, Y.-B., Jiang, Z.-T., Cao, Y.-Z., Cui, W.: New Quantum Private Comparison Protocol Using χ-Type State. Int. J. Theor. Phys. 51, 1953–1960 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  10. Gao, F., Guo, F.-Z., Wen, Q.-Y., Zhu, F.-C.: Comment on “Experimental Demonstration of a Quantum Protocol for Byzantine Agreement and Liar Detection”. Phys. Rev. Lett. 101, 208901 (2008)

    Article  ADS  Google Scholar 

  11. Gao, F., Lin, S., Wen, Q.-Y., Zhu, F.-C.: A Special eavesdropping on One-Sender versus N -Receiver QSDC Protocol. Chin. Phys. Lett. 25, 1561 (2008)

    Article  ADS  Google Scholar 

  12. Gao, F., Qin, S.-J., Wen, Q.-Y., Zhu, F.-C.: A simple participant attack on the Bradler-Dusek protocol. Quantum Info. Comput. 7, 329–334 (2007)

    MathSciNet  MATH  Google Scholar 

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

    Article  MATH  ADS  Google Scholar 

  14. 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 

  15. Wang, Q.L., Sun, H.X., Huang, W.: Multi-party quantum private comparison protocol with n-level entangled states. Quantum Inf. Process. 13, 2370–2389 (2014)

    MathSciNet  MATH  Google Scholar 

  16. 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  MathSciNet  MATH  ADS  Google Scholar 

  17. Yu, C.H., Guo, G.D., Lin, S.: Quantum private comparison with d-level single-particle states. Phys. Scr. 88, 065013 (2013)

    Article  ADS  Google Scholar 

  18. Huang, S., Hwang, T., Gope, P.: Multi-party Quantum Private Comparison with an Almost-dishonest Third Party. Quantum Inf. Process. (2015). doi:10.1007/s11128-015-1104-z

  19. Chang, C.-H., Hwang, T., Gope, P.: An Efficient Quantum Private Comparison of Equality over Collective-Noise Channels. Int. J. Theor. Phys. (2015). doi:10.1007/s10773-015-2851-4

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Correspondence to Tzonelih Hwang.

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Huang, SL., Hwang, T. & Gope, P. Multi-Party Quantum Private Comparison Protocol with an Almost-Dishonest Third Party using GHZ States. Int J Theor Phys 55, 2969–2976 (2016). https://doi.org/10.1007/s10773-016-2929-7

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  • DOI: https://doi.org/10.1007/s10773-016-2929-7

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