Abstract
Recently, Lin et al. proposed a novel quantum private comparison protocol without a third party (Quantum Inf. Process. 13:239–247, 2014). This paper points out two security loopholes in Lin et al.’s protocol, in which one dishonest party can disclose the other’s private information without being detected and the comparison result can be manipulated completely by either party. In addition, improvements are proposed to avoid these loopholes.
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Bennett, C.H., Brassard, G.: Quantum cryptography: public-key distribution and coin tossing. In: IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India, IEEE, New York, pp. 175–179 (1984)
Ekert, A.K.: Quantum cryptography based on Bell theorem. Phys. Rev. Lett. 67(6), 661–663 (1991)
Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68(21), 3121–3124 (1992)
Hillery, M., Buzěk, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999)
Beige, A., Englert, B., Kurtsiefer, C., Weinfurter, H.: Secure communication with a publicly known key. Acta Phys. Pol. A 101, 901 (2002)
Boström, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (2002)
Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein–Podolsky–Rosen pair block. Phys. Rev. A 68, 042317 (2003)
Dus̈ek, M., Haderka, O., Hendrych, M.: Quantum identification system. Phys. Rev. A 60, 149–156 (1999)
Curty, M., Santos, D.J.: Quantum authentication of classical messages. Phys. Rev. A 64, 062309 (2001)
Ljunggren, D., Bourennane, M., Karlsson, A.: Authority-based user authentication in quantum key distribution. Phys. Rev. A 62, 022305 (2000)
Yang, Y.G., Zhou, Z., Teng, Y.W., Wen, Q.Y.: Arbitrated quantum signature with an untrusted arbitrator. Eur. Phys. J. D 61(3), 773–778 (2011)
Yao, A.C.: Protocols for secure computations. In: Proceedings of the 23rd Annual Symposium on Foundations of Computer Science (1982)
Yao, A.C.: How to generate and exchange secrets. In: Proceedings of the 27th Annual Symposium on Foundations of Computer Science (1986)
Boudot, F., Schoenmakers, B., Traoré, J.: A fair and efficient solution to the socialist millionaires’ problem. Discret Appl. Math. 111(1–2), 23–36 (2001)
Lo, H.K.: Insecurity of quantum secure computations. Phys. Rev. A 56(2), 1154–1162 (1997)
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., Cao, W.F., Wen, Q.Y.: Secure quantum private comparison. Phys. Scr. 80(6), 065002 (2009)
Liu, W.J., Liu, C., Wang, H.B., Jia, T.T.: Quantum private comparison: a review. IETE Tech. Rev. 30(5), 439–445 (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(7), 1561–1565 (2010)
Tseng, H.Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11(2), 373–384 (2012)
Liu, B., Gao, F., Jia, H.Y., Huang, W., Zhang, W.W., Wen, Q.Y.: Efficient quantum private comparison employing single photons and collective detection. Quantum Inf. Process. 12(2), 887–897 (2013)
Liu, W., Wang, Y.B., Jiang, Z.T.: An efficient protocol for the quantum private comparison of equality with W state. Opt. Commun. 284(12), 3160–3163 (2011)
Li, Y.B., Wen, Q.Y., Gao, F., Jia, H.Y., Sun, Y.: Information leak in Liu et al’.s quantum private comparison and a new protocol. Eur. Phys. J. D 66(4), 110 (2012)
Jia, H.Y., Wen, Q.Y., Li, Y.B., Gao, 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 \(\chi \)-type state. Int. J. Theor. Phys. 51(6), 1953–1960 (2012)
Liu, W., Wang, Y.B., Jiang, Z.T., Cao, Y.Z.: A protocol for the quantum private comparison of equality with \(\chi \)-type state. Int. J. Theor. Phys. 51(1), 69–77 (2012)
Liu, W., Wang, Y.B., Cui, W.: Quantum private comparison protocol based on Bell entangled states. Commun. Theor. Phys. 57(4), 583–588 (2012)
Liu, W., Wang, Y.B.: Quantum private comparison based on GHZ entangled states. Int. J. Theor. Phys. 51(11), 3596–3604 (2012)
Lo, H., Ko, T.: Some attacks on quantum-based cryptographic protocols. Quantum Inf. Comput. 5, 41 (2005)
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)
Zhang, Y.S., Li, C.F., Guo, G.C.: Comment on “Quantum key distribution without alternative measurements”. Phys. Rev. A 63, 036301 (2001)
Gao, F., Qin, S., Wen, Q.Y., Zhu, F.C.: A simple participant attack on the Bradler-Dusek protocol. Quantum Inf. Comput. 7, 329–334 (2007)
Gao, F., Wen, Q.Y., Zhu, F.C.: Teleportation attack on the QSDC protocol with a random basis and order. Chin. Phys. B 17, 3189–3193 (2008)
Gao, F., Qin, S., Guo, F.Z., Wen, Q.Y.: Dense-coding attack on three-party quantum key distribution protocols. IEEE J. Quantum Electron. 47, 630–635 (2011)
Hao, L., Li, J.L., Long, G.L.: Eavesdropping in a quantum secret sharing protocol based on Grover algorithm and its solution. Sci. China Phys. Mech. Astron. 53, 491–495 (2010)
Qin, S., Gao, F., Wen, Q.Y., Zhu, F.C.: Improving the security of multiparty quantum secret sharing against an attack with a fake signal. Phys. Lett. A 357, 101–103 (2006)
Wójcik, A.: Eavesdropping on the “Ping-Pong” quantum communication protocol. Phys. Rev. Lett. 90, 157901 (2003)
Wójcik, A.: Comment on “Quantum dense key distribution”. Phys. Rev. A 71, 016301 (2005)
Cai, Q.Y.: The “Ping-Pong” protocol can be attacked without eavesdropping. Phys. Rev. Lett. 91, 109801 (2003)
Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Consistency of shared reference frames should be reexamined. Phys. Rev. A 77, 014302 (2008)
Gao, F., Wen, Q.Y., Zhu, F.C.: Comment on: “Quantum exam”. Phys. Lett. A 360, 748–750 (2007)
Gao, F., Lin, S., Wen, Q.Y., Zhu, F.C.: A special eavesdropping on one-ender versus N-receiver QSDC protocol. Chin. Phys. Lett. 25, 1561–1563 (2008)
Gao, F., Qin, S., Wen, Q., Zhu, F.C.: Cryptanalysis of multiparty controlled quantum secure direct communication using Greenberger–Horne–Zeilinger state. Opt. Commun. 283, 192–195 (2010)
Yang, Y.G., Naseri, M., Wen, Q.Y.: Improved secure quantum sealed-bid auction. Opt. Commun. 282(20), 4167–4170 (2009)
Yang, Y.G., Teng, Y.W., Chai, H.P., Wen, Q.Y.: Revisiting the security of secure direct communication based on ping-pong protocol. Quantum Inf. Process. 10(3), 317–323 (2011)
Gisin, N., Fasel, S., Kraus, B., Zbinden, H., Ribordy, G.: Trojan-horse attacks on quantum-key-distribution systems. Phys. Rev. A 73, 022320 (2006)
Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.J.: Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys. Rev. A 72, 044302 (2005)
Lin, J., Yang, C.W., Hwang, T.: Quantum private comparison of equality protocol without a third party. Quantum Inf. Process. 13, 239–247 (2014)
Damgard, I.B.: A design principle for hash functions. Adv. Cryptol. 89(435), 416–427 (1990)
Zhang, C., Sun, Z.W., Huang, X., Long, D.Y.: Three-party quantum summation without a trusted third party. Int. J. Quantum Inf. 13, 1550011 (2015)
Zhang, W.W., Li, D., Zhang, K.J., Zuo, H.J.: A quantum protocol for millionaire problem with Bell states. Quantum Inf. Process. 12, 2241–2249 (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, Y.T., Hwang, T.: Comment on the “Quantum private comparison protocol based on Bell entangled states”. Int. J. Theor. Phys. 53, 837–840 (2014)
Liu, W.J., Liu, C., Chen, H.W., Li, Z.Q., Liu, Z.H.: Cryptanalysis and improvement of quantum private comparison protocol based on Bell entangled states. Commun. Theor. Phys. 62, 210–214 (2014)
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Zhang, B., Liu, X., Wang, J. et al. Cryptanalysis and improvement of quantum private comparison of equality protocol without a third party. Quantum Inf Process 14, 4593–4600 (2015). https://doi.org/10.1007/s11128-015-1145-3
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DOI: https://doi.org/10.1007/s11128-015-1145-3