A Protocol for the Quantum Private Comparison of Equality with χ-Type State

Springer Science and Business Media LLC - Tập 51 Số 1 - Trang 69-77 - 2012
Wen Liu1, Yongbin Wang1, Zhengtao Jiang1, Yi-Zhen Cao1
1Communication University of China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proc. IEEE Int. Conf. on Computers, Systems, and Signal Processing, pp. 175–179 (1984)

Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661–663 (1991)

Bennett, C.H., Brassard, G., Mermin, N.D.: Quantum cryptography without Bell’s theorem. Phys. Rev. Lett. 67, 557–559 (1992)

Deng, F.G., Long, G.L.: Controlled order rearrangement encryption for quantum key distribution. Phys. Rev. A 68, 042315 (2003)

Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Quantum key distribution without alternative measurements and rotations. Phys. Lett. A 349, 53–58 (2006)

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, 1013–1022 (2010)

Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Quantum key distribution by construction nonorthogonal states with Bell states. Int. J. Mod. Phys. B 24, 4611–4618 (2010)

Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 052307 (1999)

Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 162–168 (2004)

Deng, F.G., Zhou, H.Y., Long, G.L.: Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys. Lett. A 337, 329–334 (2005)

Sun, Y., Wen, Q.Y., Gao, F., Chen, X.B., Zhu, F.C.: Multiparty quantum secret sharing based on Bell measurement. Opt. Commun. 282, 3647–3651 (2009)

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)

Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69, 052319 (2004)

Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Quantum secure direct communication with high-dimension quantum superdense coding. Phys. Rev. A 71, 044305 (2005)

Wang, J., Zhang, Q., Tang, C.J.: Quantum secure communication scheme with w state. Commun. Theor. Phys. 48, 637–640 (2007)

Lin, S., Wen, Q.Y., Gao, F., Zhu, F.C.: Quantum secure direct communication with chi-type entangled states. Phys. Rev. A 78, 064304 (2008)

Qin, S.J., Gao, F., Wen, Q.Y., Zhu, F.C.: Robust quantum secure direct communication over collective rotating channel. Commun. Theor. Phys. 53, 645–647 (2010)

Bennett, C.H., et al.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)

Bouwmeester, D., Pan, J.W., et al.: Experimental quantum teleportation. Nature 390, 575–579 (1997)

Du, J.Z., Chen, X.B., Wen, Q.Y., Zhu, F.C.: Secure multi-party quantum summation. Acta Phys. Sin. 56, 6214 (2007)

Chen, X.B., Xu, G., Yang, Y.X., Wen, Q.Y.: An efficient protocol for the secure multi-party quantum summation. Int. J. Theor. Phys. 49, 2793–2804 (2010)

Vaccaro, J.A., Spring, J., Chefles, A.: Quantum protocols for anonymous voting and surveying. Phys. Rev. A 75, 012333 (2007)

Li, Y., Zeng, G.H.: Opt. Rev. 15, 219 (2008)

Jia, H.Y., Wen, Q.Y., Song, T.T., Gao, F.: Quantum protocol for millionaire problem. Opt. Commun. 284, 545–549 (2011)

Markus, J., Moti, Y.: Proving without knowing: on oblivious, agnostic and blindfolded provers. In: Proceedings of the 16th Annual International Cryptology Conference on Advances in Cryptology, pp. 186–200 (1996)

Yao, A.: Protocols for secure computations. In: Proc. 23rd IEEE Symposium on Foundations of Computer Science, pp. 160–164 (1982)

Yao, A.: How to generate and exchange secrets. In: Proceedings of the 27th Annual Symposium on Foundations of Computer Science, pp. 162–167 (1986)

Fagin, R., Naor, M., Winkler, P.: Comparing information without leaking it. Commun. ACM 39, 77–85 (1996)

Cachin, C.: Efficient private bidding and auctions with an oblivious third party. In: Proceedings of the 6th ACM Conference on Computer and Communications Security, pp. 120–127 (1999)

Fabrice, B., Berry, S., et al.: A fair and efficient solution to the socialist millionaires’ problem. Discrete Appl. Math. 111, 23–36 (2001)

Qin, J., Zhang, Z.F., Feng, D.G., Li, B.: A protocol of comparing information without leaking. J. Softw. 15, 421–427 (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)

Chen, X.B., Xu, G., Niu, X.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)

Liu, W., Wang, Y.B., Jiang, Z.T.: An efficient protocol for the quantum private comparison of equality with W state. Opt. Commun. (2011). doi: 10.1016/j.optcom.2011.02.017

Yeo, Y., Chua, W.K.: Teleportation and dense coding with genuine multipartite entanglement. Phys. Rev. Lett. 96, 060502 (2006)

Wu, C., Yeo, Y., Kwek, L., Oh, C.: Phys. Rev. A 75, 032332 (2007)

Gao, G., Wang, L.P.: A protocol for bidirectional quantum secure communication based on genuine four-particle entangled states. Commun. Theor. Phys. 75, 447–451 (2010)

Xiu, X.M., Dong, H.K., Dong, L., Gao, Y.J., Chi, F.: Deterministic secure quantum communication using four-particle genuine entangled state and entanglement swapping. Opt. Commun. 282, 2457–2459 (2009)

Gao, F., Qin, S.J., Wen, Q.Y., et al.: A simple participant attack on the Bradler–Dusek protocol. Quantum Inf. Comput. 7, 329 (2007)

Qin, S.J., Gao, F., Wen, Q.Y., et al.: Cryptanalysis of the Hillery–Buzek–Berthiaume quantum secret-sharing protocol. Phys. Rev. A 76, 062324 (2007)

Lin, S., Gao, F., Guo, F.Z., et al.: Comment on “Multiparty quantum secret sharing of classical messages based on entanglement swapping”. Phys. Rev. A 76, 036301 (2007)

Lin, S., Wen, Q.Y., Gao, F., et al.: Improving the security of multiparty quantum secret sharing based on the improved Bostrom–Felbinger protocol. Opt. Commun. 281, 4553 (2008)

Gao, F., Guo, F.Z., Wen, Q.Y., et al.: Comment on “Experimental demonstration of a quantum protocol for byzantine agreement and liar detection”. Phys. Rev. Lett. 101, 208901 (2008)

Song, T.T., Zhang, J., Gao, F., et al.: Participant attack on quantum secret sharing based on entanglement swapping. Chinese. Physics B 18, 1333 (2009)

Guo, F.Z., Qin, S.J., Gao, F., et al.: Participant attack on a kind of MQSS schemes based on entanglement swapping. Eur. Phys. J. A 56, 445 (2010)