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.
Similar content being viewed by others
References
Yao, A.: In: Proceedings of 23rd IEEE Symposium on Foundations of Computer Science (FOCS’ 82), p. 160 (1982)
Goldreich, O.: Cambridge University Press (2004), Chap. 7
Lindell, Y., Pinkas, B.: J. Priv. Confid. 1, 59 (2009)
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)
Colbeck, R.: Phys. Rev. A 76, 062308 (2007)
Crépeau, C., Gottesman, D., Smith, A.: In: STOC02, p. 643 (2002)
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)
Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)
Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)
Karlsson, A., Koashi, M., Imoto, N.: Phys. Rev. A 59, 162 (1999)
Unruh, D.: Adv. Cryptol. C 6110, 486 (2010)
Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)
Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)
Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)
Lo, H.K.: Phys. Rev. A 56, 1154 (1997)
Yang, Y.-G., Wen, Q.-Y.: J. Phys. A, Math. Theor. 42, 055305 (2009)
Chen, X.-B., Xu, G., Niu, X.-X., Wen, Q.-Y., Yang, Y.-X.: Opt. Commun. 283, 1561 (2010)
Liu, W., Wang, Y.-B., Jiang, Z.-T.: Opt. Commun. 284, 3160 (2011)
Tseng, H.-Y., Lin, J., Hwang, T.: Quantum Inf. Process. 11, 373 (2012)
Liu, W., Wang, Y.-B., Jiang, Z.-T., Cao, Y.-Z.: Int. J. Theor. Phys. 51, 69 (2011)
Lin, S., Sun, Y., Liu, X.F., Yao, Z.Q.: Quantum Inf. Process. (2012). doi:10.1007/s11128-012-0395-6
Briegel, H.J., Raussendorf, R.: Phys. Rev. Lett. 86, 910 (2001)
Schlingemann, D., Werner, R.F.: Phys. Rev. A 65, 012308 (2001)
Wang, G.-Y., Fang, X.-M., Tan, X.-H.: Chin. Phys. Lett. 23, 2658 (2006)
Yuan, H., Song, J., Hu, X.-Y., Hou, K.: Int. J. Quantum Inf. 7, 689 (2009)
Cao, W.-F., Yan, Y.-G., Wen, Q.-Y.: Sci. China Ser. G, Phys. Mech. Astron. 53, 1271 (2010)
Sun, Z.-W., Du, R.-G., Long, D.-Y.: Int. J. Quantum Inf. 9, 1 (2011)
Sun, Z.-W., Du, R.-G., Long, D.-Y.: Int. J. Theor. Phys. 51, 1946 (2012)
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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-012-1321-5