Abstract
We proposed a quantum secret comparison protocol for two parties with the random rotation angle, which is under the help of a semi-honest third party. The random rotation angle made it possible for the protocol to be safer and the two parties cannot deduce each other’s information by means of their own possessions. The participants’ secrets are divided into groups and the third party announced the results by group, which made the protocol more safely and sometimes it can save lots of resources. Moreover, during our protocol process any information of the two parties will not be leaked, even the third party cannot get any participants’ secrets.
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References
Benaloh, J.: Verifiable secret-ballot elections. PhD thesis, Yale University (1987)
Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68(21), 3121–3124 (1992)
Bennett, C.H., Brassard, G.: In: IEEE International Conference on Computers, Systems and Signal Processing, pp. 175–179. IEEE Press, New York (1984)
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54, 3824 (1996)
Bonanome, M., Buzěk, V., Hillery, M., Ziman, M.: Toward protocols for quantum-ensured privacy and secure voting. Phys. Rev. A 84, 022331 (2011)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575–579 (1997)
Chen, X.B., Wen, Q.Y., Zhu, F.C.: Quantum circuits for probabilistic entanglement teleportation via a partially entangled pair. Int. J. Quantum Inf. 5, 717 (2007)
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)
Deng, F.G., Long, G.L., Zhou, H.Y.: Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys. Lett. A 337, 329 (2005)
Du, J.Z., Chen, X.B., Wen, Q.Y., Zhu, F.C.: Secure multiparty quantum summation. Acta Phys. Sin. 56, 6214 (2007)
Dür, W., Briegel, H.-J., Ciracl, J.I., Zoller, P.: Quantum repeaters based on entanglement purification. Phys. Rev. A 59, 169–181 (1999)
Ekert, A.K.: Quantum cryptography based on Bell theorem. Phys. Rev. Lett. 67(6), 661–663 (1991)
Guo, G.P., Guo, G.C.: Quantum secret sharing without entanglement. Phys. Lett. A 310, 247 (2003)
Guo, F.Z., Gao, F., Wen, Q.Y., Zhu, F.C.: A two-step channel-encrypting quantum key distribution protocol. Int. J. Quantum Inf. 8(6), 1013–1022 (2010)
Han, L.F., Liu, Y.M., Yuan, H., Zhang, Z.J.: Efficient multiparty-to-multiparty quantum secret sharing via continuous variable operations. Phys. Rev. Lett. 24, 3312 (2007)
Hillery, M., Buzěk, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999)
Jia, H.Y., Wen, Q.Y., Song, T., Gao, F.: Quantum protocol for millionaire problem. Opt. Commun. 284, 545–549 (2011)
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162 (1999)
Kye, W.H., Kim, C.M., Kim, M.S., Park, Y.J.: Quantum key distribution with blind polarization bases. Phys. Rev. Lett. 95, 040501 (2005)
Lin, S., Sun, Y., Liu, X.F., Yao, Z.Q.: Quantum private comparison protocol with d-dimensional Bell states. Quantum Inf. Process. (2012). doi:10.1007/s11128-012-0395-6
Liu, B., Gao, F., Wen, Q.Y.: Single-photon multiparty quantum cryptographic protocols with collective detection. IEEE J. Quantum Electron. 47, 1389–1390 (2011)
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. (2012). doi:10.1007/s11128-012-0439-y
Liu, W., Wang, Y.B., Cui, W.: Quantum private comparison protocol based on Bell entangled states. Commun. Theor. Phys. 57, 583–588 (2012)
Lo, H.K.: Insecurity of quantum secure computations. Phys. Rev. A 56(2), 1154–1162 (1997)
Pan, J.W., Simon, C., Brukner, Č., Zeilinger, A.: Entanglement purification for quantum communication. Nature 410, 1067–1070 (2001)
Qin, S.J., Gao, F., Wen, Q.Y., Zhu, F.C.: Cryptanalysis of the Hillery-Buzěk-Berthiaume quantum secret-sharing protocol. Phys. Rev. A 76, 062324 (2007)
Sun, Y., Wen, Q.Y., Gao, F., Zhu, F.C.: Robust variations of the Bennett-Brassard 1984 protocol against collective noise. Phys. Rev. A 80, 032321 (2009)
Tseng, H.Y., Lin, J., Hwang, T.: New quantum private comparison protocol using EPR pairs. Quantum Inf. Process. 11, 373–384 (2012)
Wang, X.B.: Quantum key distribution with two-qubit quantum codes. Phys. Rev. Lett. 92, 077902 (2004)
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)
Zhang, Z.J., Liu, Y.M., Man, Z.X.: Many-agent controlled teleportation of multi-qubit quantum information via quantum entanglement swapping. Commun. Theor. Phys. 44, 847 (2005)
Zhang, Q., Yin, J., Chen, T.Y., Lu, S., Zhang, J., Li, X.Q., Yang, T., Wang, X.B., Pan, J.W.: Experimental fault-tolerant quantum cryptography in a decoherence-free subspace. Phys. Rev. A 73, 020301 (2006)
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Zi, W., Guo, F., Luo, Y. et al. Quantum Private Comparison Protocol with the Random Rotation. Int J Theor Phys 52, 3212–3219 (2013). https://doi.org/10.1007/s10773-013-1616-1
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DOI: https://doi.org/10.1007/s10773-013-1616-1