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Quantum Private Comparison Protocol Based on Cluster States

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Abstract

We present a quantum private comparison (QPC) protocol, enabling two players to compare the equality of their information without revealing any information about their respective private inputs, in which the four-particle cluster states as the information carriers are used. The presented protocol can ensure correctness, privacy, and fairness with the assistance of a semi-trusted third party (TP). Meanwhile, the participants including the TP are just required having the ability to perform single-particle measurements, which make the presented protocol more feasible in technique. Furthermore, the photon transmission is a one-way distribution; the Trojan horse attacks can be automatically avoided. The security of this protocol is also analyzed.

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References

  1. Yao, A.: In: Proceedings of 23rd IEEE Symposium on Foundations of Computer Science (FOCS’ 82), p. 160 (1982)

    Google Scholar 

  2. Goldreich, O.: Cambridge University Press (2004), Chap. 7

  3. Lindell, Y., Pinkas, B.: J. Priv. Confid. 1, 59 (2009)

    Google Scholar 

  4. Chor, B., Goldreich, O., Kushilevitz, E., Sudan, M.: In: Proceedings of the 36th Annual IEEE Conference on Foundations of Computer Science, p. 41. IEEE Press, New York (1995)

    Google Scholar 

  5. Colbeck, R.: Phys. Rev. A 76, 062308 (2007)

    Article  ADS  Google Scholar 

  6. Crépeau, C., Gottesman, D., Smith, A.: In: STOC02, p. 643 (2002)

    Google Scholar 

  7. Bennett, C.H., Brassard, G.: In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India, p. 175. IEEE Press, New York (1984)

    Google Scholar 

  8. Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  10. Karlsson, A., Koashi, M., Imoto, N.: Phys. Rev. A 59, 162 (1999)

    Article  ADS  Google Scholar 

  11. Unruh, D.: Adv. Cryptol. C 6110, 486 (2010)

    MathSciNet  Google Scholar 

  12. Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)

    Article  ADS  Google Scholar 

  13. Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)

    Article  ADS  Google Scholar 

  14. Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)

    Article  ADS  Google Scholar 

  15. Lo, H.K.: Phys. Rev. A 56, 1154 (1997)

    Article  ADS  Google Scholar 

  16. Yang, Y.-G., Wen, Q.-Y.: J. Phys. A, Math. Theor. 42, 055305 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  17. Chen, X.-B., Xu, G., Niu, X.-X., Wen, Q.-Y., Yang, Y.-X.: Opt. Commun. 283, 1561 (2010)

    Article  ADS  Google Scholar 

  18. Liu, W., Wang, Y.-B., Jiang, Z.-T.: Opt. Commun. 284, 3160 (2011)

    Article  ADS  Google Scholar 

  19. Tseng, H.-Y., Lin, J., Hwang, T.: Quantum Inf. Process. 11, 373 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  20. Liu, W., Wang, Y.-B., Jiang, Z.-T., Cao, Y.-Z.: Int. J. Theor. Phys. 51, 69 (2011)

    Article  MathSciNet  Google Scholar 

  21. Lin, S., Sun, Y., Liu, X.F., Yao, Z.Q.: Quantum Inf. Process. (2012). doi:10.1007/s11128-012-0395-6

    Google Scholar 

  22. Briegel, H.J., Raussendorf, R.: Phys. Rev. Lett. 86, 910 (2001)

    Article  ADS  Google Scholar 

  23. Schlingemann, D., Werner, R.F.: Phys. Rev. A 65, 012308 (2001)

    Article  ADS  Google Scholar 

  24. Wang, G.-Y., Fang, X.-M., Tan, X.-H.: Chin. Phys. Lett. 23, 2658 (2006)

    Article  ADS  Google Scholar 

  25. Yuan, H., Song, J., Hu, X.-Y., Hou, K.: Int. J. Quantum Inf. 7, 689 (2009)

    Article  MATH  Google Scholar 

  26. Cao, W.-F., Yan, Y.-G., Wen, Q.-Y.: Sci. China Ser. G, Phys. Mech. Astron. 53, 1271 (2010)

    Article  ADS  Google Scholar 

  27. Sun, Z.-W., Du, R.-G., Long, D.-Y.: Int. J. Quantum Inf. 9, 1 (2011)

    Article  Google Scholar 

  28. Sun, Z.-W., Du, R.-G., Long, D.-Y.: Int. J. Theor. Phys. 51, 1946 (2012)

    Article  MATH  Google Scholar 

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Acknowledgements

This work is in part supported by the Key Project of NSFC-Guangdong Funds (No. U0935002) and is supported by the National Natural Science Foundation of China under Grants No. 61272013.

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Authors and Affiliations

  1. School of Information Science and Technology, Sun Yat-sen University, Guangzhou, 510006, China

    Zhiwei Sun & Dongyang Long

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  1. Zhiwei Sun
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  2. Dongyang Long
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Correspondence to Zhiwei Sun.

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Sun, Z., Long, D. Quantum Private Comparison Protocol Based on Cluster States. Int J Theor Phys 52, 212–218 (2013). https://doi.org/10.1007/s10773-012-1321-5

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  • DOI: https://doi.org/10.1007/s10773-012-1321-5

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