Abstract
We propose a scheme for hierarchical quantum information splitting with the recently realized six-photon cluster state (Lu et al. in Nat. Phys. 3:91, 2007), where a Boss distributes a quantum secret (quantum state) to five distant agents who are divided into two grades. Two agents are in the upper grade and three agents are in the lower grade. An agent of the upper grade only needs the collaboration of two of the other four agents for getting the secret, while an agent of the lower grade needs the collaboration of all the other four agents. In other words, the agents of two grades have different authorities to recover Boss’s secret.
Similar content being viewed by others
References
Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)
Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 4394 (1998)
Cheung, C.Y., Zhang, Z.J.: Phys. Rev. A 80, 022327 (2009)
Wang, X.W., Shan, Y.G., Xia, L.X., Lu, M.W.: Phys. Lett. A 364, 7 (2007)
Muralidharan, S., Panigrahi, P.K.: Phys. Rev. A 77, 032321 (2008)
Greenberger, D.M., Horne, M.A., Shimony, A., Zeilinger, A.: Am. J. Phys. 58, 1131 (1990)
Hillery, M., Buzek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)
Karlsson, A., Koashi, M., Imoto, N.: Phys. Rev. A 59, 162 (1999)
Zhao, Z., Chen, Y.A., Zhang, A.N., Yang, T., Briegel, H.J., Pan, J.W.: Nature 430, 54 (2004)
Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Tyc, T., Ralph, T.C., Lam, P.K.: Phys. Rev. A 71, 033814 (2005)
Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Rev. A 72, 044301 (2005)
Wiesner, S.: SIGACT News 15, 78 (1983)
Ben-Or, M., Crépeau, C., Gottesman, D., Hassidim, A., Smith, A.: Proc. 47th Annual IEEE Symposium on the Foundations of Computer Science (FOCS’06), pp. 249–260. IEEE Press, New York (2006)
Cleve, R., Gottesman, D., Lo, H.K.: Phys. Rev. Lett. 83, 648 (1999)
Nascimento, A.C.A., Mueller-Quade, J., Imai, H.: Phys. Rev. A 64, 042311 (2001)
Zheng, S.B.: Phys. Rev. A 74, 054303 (2006)
Markham, D., Sanders, B.C.: Phys. Rev. A 78, 042309 (2008)
Muralidharan, S., Panigrahi, P.K.: Phys. Rev. A 78, 062333 (2008)
Zhang, Z.J., Cheung, C.Y.: J. Phys. B 41, 015503 (2008)
Wang, X.W., Yang, G.J., Su, Y.H., Xie, M.: Quantum Inf. Process. 8, 431 (2009)
Shi, R.H., Huang, L.S., Yang, W., Zhong, H.: Opt. Commun. 283, 2762 (2010)
Hou, K., Li, Y.B., Shi, S.H.: Opt. Commun. 283, 1961 (2010)
Wang, Z.Y., Liu, Y.M., Wang, D., Zhang, Z.J.: Opt. Commun. 276, 322 (2007)
Wu, J.: Int. J. Theor. Phys. 49, 324 (2010)
Liu, J., Liu, Y.M., Zhang, Z.J.: Int. J. Theor. Phys. 47, 2353 (2008)
Man, Z.X., Xia, Y.J., An, N.B.: Eur. Phys. J. D 42, 333 (2007)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Eur. Phys. J. D 48, 279 (2008)
Xiu, X.M., Dong, L., Gao, Y.J., Chi, F.: Commun. Theor. Phys. 49, 1203 (2008)
Wang, X.W., Xia, L.X., Wang, Z.Y., Zhang, D.Y.: Opt. Commun. 283, 1196 (2010)
Briegel, H.J., Raussendorf, R.: Phys. Rev. Lett. 86, 910 (2001)
Lu, C.Y., Zhou, X.Q., Gühne, O., Gao, W.B., Zhang, J., Yuan, Z.S., Goebel, A., Yang, T., Pan, J.W.: Nature Phys. 3, 91 (2007)
Kim, Y.H., Kulik, S.P., Shih, Y.: Phys. Rev. Lett. 86, 1370 (2001)
Walther, P., Zeilinger, A.: Phys. Rev. A 72, 010302(R) (2005)
Jin, X.M., Ren, J.G., Yang, B., Yi, Z.H., Zhou, F., Xu, X.F., Wang, S.K., Yang, D., Hu, Y.F., Jiang, S., Yang, T., Yin, H., Chen, K., Peng, C.Z., Pan, J.W.: Nat. Photon. 4, 376 (2010)
Wootters, W.K., Zurek, W.H.: Nature 239, 802 (1982)
Wang, X.W., Li, D.C., Yang, G.J.: arXiv:0908.0084 [quant-ph]
SaiToh, A., Rahimi, R., Nakahara, M.: Phys. Rev. A 79, 062313 (2009)
Wang, X.W., Su, Y.H., Yang, G.J.: Quantum Inf. Process. 8, 319 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, XW., Zhang, DY., Tang, SQ. et al. Hierarchical Quantum Information Splitting with Six-Photon Cluster States. Int J Theor Phys 49, 2691–2697 (2010). https://doi.org/10.1007/s10773-010-0461-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-010-0461-8