Abstract
We presents a high-capacity three-party quantum secret sharing (QSS) protocol with a sequence of photon pairs in hyperentangled Bell states in both the polarization and the spatial-mode degrees of freedom. In our scheme, the boss Alice prepares a sequence of photon pairs in hyperentangled Bell states and divides them into two photon sequences which are sent the two agents, respectively. Alice exploits four subsets of decoy photons to assure the security of the photon transmission between her and her agents. The present QSS scheme has the advantage of having a high channel capacity as each photon pair can carry 4 bits of secret message in principle, two times of that by Deng et al. (Phys. Lett. A 372: 1957, 2008). We give out the setups for the preparation of the photon pairs in hyperentangled Bell states with a beta barium borate crystal and the manipulation of the photons with linear optical elements. It will be shown that our QSS protocol is feasible with current experimental technology.
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Bennett, C.H., Brassard, G.: In: Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India, p. 175. IEEE, New York (1984)
Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)
Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992)
Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)
Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Rev. Mod. Phys. 74, 145 (2002)
Li, X.H., et al.: Phys. Rev. A 78, 022321 (2008)
Bennett, C.H., et al.: Phys. Rev. Lett. 70, 1895 (1993)
Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)
Liu, X.S., Long, G.L., Tong, D.M., Feng, L.: Phys. Rev. A 65, 022304 (2002)
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)
Wang, C., et al.: Phys. Rev. A 71, 044305 (2005)
Li, X.H., et al.: Phys. Rev. A 74, 054302 (2006)
Yan, F.L., Zhang, X.: Eur. Phys. J. B 41, 75 (2004)
Gao, T., Yan, F.L., Wang, Z.X.: J. Phys. A 38, 5761 (2005)
Gao, T., et al.: Int. J. Mod. Phys. C 16, 1293 (2005)
Long, G.L., et al.: Front. Phys. China 2, 251 (2007)
Gu, B., et al.: Sci. China Ser. G 52, 1913 (2009)
Gu, B., et al.: Sci. China, Phys. Mech. Astron. 54, 942 (2011)
Liu, D., Chen, J.L., Jiang, W.: Int. J. Theor. Phys. 51, 2923 (2012)
Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)
Karlsson, A., Koashi, M., Imoto, N.: Phys. Rev. A 59, 162 (1999)
Xiao, L., et al.: Phys. Rev. A 69, 052307 (2004)
Zhang, Z.J., Li, Y., Man, Z.X.: Phys. Rev. A 71, 044301 (2005)
Zhang, Z.J., Man, Z.X.: Phys. Rev. A 72, 022303 (2005)
Yan, F.L., Gao, T.: Phys. Rev. A 72, 012304 (2005)
Deng, F.G., et al.: Phys. Rev. A 72, 044302 (2005)
Deng, F.G., et al.: Phys. Lett. A 372, 1957 (2008)
Gu, B., et al.: Chin. Phys. B 18, 4690 (2009)
Gu, B., et al.: Opt. Commun. 283, 3099 (2010)
Wang, C., Zhang, Y.: Chin. Phys. B 18, 3238 (2009)
Wang, C., Zhang, Y., Jin, G.S.: Sci. China, Phys. Mech. Astron. 11, 2064 (2010)
Zhang, Q.Y., Zhan, Y.B.: Int. J. Theor. Phys. (2012). doi:10.1007/s10773-012-1186-7
Tseng, H.Y., et al.: Int. J. Theor. Phys. (2012). doi:10.1007/s10773-012-1191-x
Liu, L.L., Tsai, C.W., Hwang, T.: Int. J. Theor. Phys. 51, 2291 (2012)
Du, R., et al.: Int. J. Theor. Phys. 51, 2727 (2012)
Zhang, Q.Y., Zhan, Y.B.: Int. J. Theor. Phys. (2012). doi:10.1007/s10773-012-1186-7
Yang, C.W., Tsai, C.W., Hwang, T.: Quantum Inf. Process. 11, 113 (2012)
Shi, R.H., Zhong, H.: Quantum Inf. Process. 11, 161 (2012)
Hao, L., Wang, C., Long, G.L.: Opt. Commun. 284, 3639 (2011)
Hwang, T., Hwang, C.C., Li, C.M.: Phys. Scr. 83, 045004 (2011)
Cleve, R., Gottesman, D., Lo, H.K.: Phys. Rev. Lett. 83, 648 (1999)
Lance, A.M., et al.: Phys. Rev. Lett. 92, 177903 (2004)
Deng, F.G., et al.: Phys. Rev. A 72, 044301 (2005)
Deng, F.G., et al.: Phys. Rev. A 72, 022338 (2005)
Deng, F.G., et al.: Eur. Phys. J. D 39, 459 (2006)
Li, X.H., et al.: J. Phys. B 39, 1975 (2006)
Wang, Z.Y., Yuan, H., Shi, S.H., Zhang, Z.J.: Eur. Phys. J. D 41, 371 (2007)
Man, Z.X., Xia, Y.J., An, N.B.: Eur. Phys. J. D 42, 333 (2007)
Xia, Y., Song, J., Song, H.S.: Opt. Commun. 281, 4946 (2008)
Hou, K., Li, Y.B., Shi, S.H.: Opt. Commun. 283, 1961 (2010)
Nie, Y.Y., et al.: Quantum Inf. Process. 11, 563 (2012)
Shi, R.H., Zhong, H.: Quantum Inf. Process. 11, 161 (2012)
Nie, Y.Y., et al.: Quantum Inf. Process. 10, 603 (2011)
Hou, K., et al.: Quantum Inf. Process. 10, 463 (2011)
Shi, R.H., et al.: Quantum Inf. Process. 10, 231 (2011)
Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)
Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 032307 (2010)
Sheng, Y.B., Deng, F.G.: Phys. Rev. A 82, 044305 (2010)
Deng, F.G.: Phys. Rev. A 83, 062316 (2011)
Li, X.H.: Phys. Rev. A 82, 044304 (2010)
Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Nat. Phys. 4, 282 (2008)
Wang, W.Y., Wang, C., Long, G.L.: Int. J. Quantum Inf. 7, 529 (2009)
Sheng, Y.B., Deng, F.G., Long, G.L.: Phys. Rev. A 82, 032318 (2010)
Ren, B.C., Wei, H.R., Hua, M., Li, T., Deng, F.G.: Opt. Express 20, 24664 (2012)
Wang, T.J., Lu, Y., Long, G.L.: Phys. Rev. A 86, 032318 (2010)
Wang, T.J., Lu, Y., Long, G.L.: Phys. Rev. A 86, 042337 (2012)
Wang, T.J., et al.: Chin. Phys. Lett. 28, 040305 (2011)
Gu, B., et al.: Chin. Phys. B 20, 100309 (2011)
Gu, B., et al.: Commun. Theor. Phys. 56, 659 (2011)
Liu, D., Chen, J.L., Jiang, W.: Int. J. Theor. Phys. 51, 2923 (2012)
Gu, B., et al.: Int. J. Theor. Phys. (2012). doi:10.1007/s10773-012-1242-3
Li, C.Y., et al.: Chin. Phys. Lett. 22, 1049 (2005)
Shor, P.W., Preskill, J.: Phys. Rev. Lett. 85, 441 (2000)
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This work is supported by the Fundamental Research Funds for the Central Universities under Grant No. DC12010117 and DC120101174.
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Liu, D., Zong, ZC. & Ma, W. High-Capacity Quantum Secret Sharing with Hyperdense Coding Assisted by Hyperentangled Photon Pairs. Int J Theor Phys 52, 2245–2254 (2013). https://doi.org/10.1007/s10773-013-1500-z
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DOI: https://doi.org/10.1007/s10773-013-1500-z