Abstract
Quantum private comparison (QPC) aims to determine whether two parties’ private inputs are equal or not without leaking out their genuine contents. At present, there is seldom QPC protocol which uses single photons as quantum resource. In this paper, we are devoted to converting Zhang et al.’s three-party quantum summation (QS) protocol based on single photons (Int. J. Quantum Inf. 15(2), 1750010, 2017) into the corresponding two-party QPC protocol with single photons. The correctness and the security of the proposed QPC protocol with single photons can be guaranteed. The proposed QPC protocol is naturally free from Trojan horse attacks because of its single directional particle transmission mode.
Similar content being viewed by others
References
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)
Yang, Y.G., Gao, W. F., Wen, Q.Y.: Secure quantum private comparison. Phys. Scr. 80, 065002 (2009)
Yang, Y.G., Xia, J., Jia, X., Shi, L., Zhang, H.: New quantum private comparison protocol without entanglement. Int. J. Quantum Inf. 10, 1250065 (2012)
Ye, T.Y.: Quantum private comparison via cavity QED. Commun. Theor. Phys. 67(2), 147–156 (2017)
Liu, W., Wang, Y.B., Cui, W.: Quantum private comparison protocol based on Bell entangled states. Commun. Theor. Phys. 57, 583–588 (2012)
Tseng, H.Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11, 373–384 (2012)
Wang, C., Xu, G., Yang, Y.X.: Cryptanalysis and improvements for the quantum private comparison protocol using EPR pairs. Int. J. Quantum Inf. 11, 1350039 (2013)
Yang, Y.G., Xia, J., Jia, X., Zhang, H.: Comment on quantum private comparison protocols with a semi-honest third party. Quantum Inf. Process. 12, 877–885 (2013)
Zhang, W.W., Zhang, K.J.: Cryptanalysis and improvement of the quantum private comparison protocol with semi-honest third party. Quantum Inf. Process. 12, 1981–1990 (2013)
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 (2010)
Lin, J., Tseng, H.Y., Hwang, T.: Intercept-resend attacks on Chen et al.’s quantum private comparison protocol and the improvements. Opt. Commun. 284, 2412–2414 (2011)
Liu, W., Wang, Y.B.: Quantum private comparison based on GHZ entangled states. Int. J. Theor. Phys. 51, 3596–3604 (2012)
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)
Zhang, W.W., Li, D., Li, Y.B.: Quantum private comparison protocol with W States. Int. J. Theor. Phys. 53(5), 1723–1729 (2014)
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)
Sun, Z.W., Long, D.Y.: Quantum private comparison protocol based on cluster states. Int. J. Theor. Phys. 52, 212–218 (2013)
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 (2012)
Jia, H Y, Wen, Q Y, Li, Y B, Cao, F.: Quantum private comparison using genuine four-particle entangled states. Int. J. Theor. Phys. 51(4), 1187–1194 (2012)
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)
Ye, T Y, Ji, Z X: Two-party quantum private comparison with five-qubit entangled states. Int. J. Theor. Phys. 56(5), 1517–1529 (2017)
Ji, Z X, Ye, T Y: Quantum private comparison of equal information based on highly entangled six-qubit genuine state. Commun. Theor. Phys. 65(6), 711–715 (2016)
Chang, Y.J., Tsai, C.W., Hwang, T.: Multi-user private comparison protocol using GHZ class states. Quantum Inf. Process. 12, 1077–1088 (2013)
Wang, Q.L., Sun, H.X., Huang, W.: Multi-party quantum private comparison protocol with n-level entangled states. Quantum Inf. Process. 13, 2375–2389 (2014)
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)
Liu, W., Wang, Y.B., Wang, X.M.: Quantum multi-party private comparison protocol using d -dimensional Bell states. Int. J. Theor. Phys. 54, 1830–1839 (2015)
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)
Huang, S.L., 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)
Ye, T.Y.: Multi-party quantum private comparison protocol based on entanglement swapping of Bell entangled states. Commun. Theor. Phys. 66(3), 280–290 (2016)
Ye, T.Y., Ji, Z X: Multi-user quantum private comparison with scattered preparation and one-way convergent transmission of quantum states. Sci. China Phys. Mech. Astron. 60(9), 090312 (2017)
Ji, Z X, Ye, T.Y.: Multi-party quantum private comparison based on the entanglement swapping of d-level Cat states and d-level Bell states. Quantum Inf. Process. 16(7), 177 (2017)
Zhang, C., Situ, H.Z., Huang, Q., Yang, P.: Multi-party quantum summation without a trusted third party based on single particles. Int. J. Quantum Inf. 15(2), 1750010 (2017)
Lo, H.K.: Insecurity of quantum secure computations. Phys. Rev. A 56(2), 1154–1162 (1997)
Chen, J.H., Lee, K.C., Hwang, T.: The enhancement of Zhou et al.’s quantum secret sharing protocol. Int. J. Mod. Phys. C 20(10), 1531–1535 (1999)
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The author declares that he has no conflict of interest.
Rights and permissions
About this article
Cite this article
Pan, HM. Two-Party Quantum Private Comparison Using Single Photons. Int J Theor Phys 57, 3389–3395 (2018). https://doi.org/10.1007/s10773-018-3852-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-018-3852-x