Abstract
We propose a new protocol of hierarchical quantum information splitting (HQIS) via two four-qubit cluster state. In the protocol, a boss can asymmetrically distribute an arbitrary two-qubit state, which has not been investigated by the previous papers, to the distant agents in a network. The asymmetric distribution leads to that the agents’ authorities for getting the secret state are hierarchical. In other word, they have different authorities for the boss’s secret state. Moreover, the symmetry feature of cluster state reflects our protocol will have a better extendibility. Thus, we further propose a multiparty HQIS protocol. In our HQIS protocol, the agents only need the single-qubit measurement, which is an appealing advantage in practically implementation. Meanwhile, the present protocol can be modified to implement the threshold-controlled teleportation.




Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999)
Bennett, C.H., Brassard, G., Crepeau, 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, 1895–1899 (1993)
Chen, X.B., Zhang, N., Lin, S., Wen, Q.Y., Zhu, F.C.: Quantum circuits for controlled teleportation of two-particle entanglement via a W state. Opt. Commun. 281, 2331–2335 (2008)
Chen, X.B., Xu, G., Yang, Y.X., Wen, Q.Y.: Centrally controlled quantum teleportation. Opt. Commun. 283, 4802–4809 (2010)
Zhao, Z., Chen, Y.A., Zhang, A.N., Yang, T., Briegel, H.J., Pan, J.W.: Experimental demonstration of five-photon entanglement and open-destination teleportation. Nature 430, 54–58 (2004)
Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein–Podolsky–Rosen pairs. Phys. Rev. A 72, 044301 (2005)
Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Tyc, T., Ralph, T.C., Lam, P.K.: Continuous-variable quantum-state sharing via quantum disentanglement. Phys. Rev. A 71, 033814 (2005)
Wang, T.Y., Wen, Q.Y., Chen, X.B., Guo, F.Z., Zhu, F.C.: An efficient and secure multiparty quantum secret sharing scheme based on single photons. Opt. Commun. 281, 6130–6134 (2008)
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)
Chen, X.B., Yang, S., Xu, G., Su, Y., Yang, Y.X.: Cryptanalysis of the quantum state sharing protocol using four sets of W-class states. Int. J. Quantum Inf. 11, 1350010 (2013)
Cleve, R., Gottesman, D., Lo, H.K.: How to share a quantum secret. Phys. Rev. Lett. 83, 648–651 (1999)
Muralidharan, S., Panigrahi, P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)
Nascimento, A.C.A., Mueller-Quade, J., Imai, H.: Improving quantum secret-sharing schemes. Phys. Rev. A 64, 042311 (2001)
Markham, D., Sanders, B.C.: Graph states for quantum secret sharing. Phys. Rev. A 78, 042309 (2008)
Gottesman, D.: Theory of quantum secret sharing. Phys. Rev. A 61, 042311 (2000)
Singh, S.K., Srikanth, R.: Generalized quantum secret sharing. Phys. Rev. A 71, 012328 (2005)
Ogawa, T., Sasaki, A., Iwamoto, M., Yamamoto, H.: Quantum secret sharing schemes and reversibility of quantum operations. Phys. Rev. A 72, 032318 (2005)
Wang, X.W., Xia, L.X., Wang, Z.Y., Zhang, D.Y.: Hierarchical quantum-information splitting. Opt. Commun. 283, 1196–1199 (2010)
Wang, X.W., Zhang, D.Y., Tang, S.Q., Zhan, X.G., You, K.M.: Hierarchical quantum information splitting with six-photon cluster states. Int. J. Theor. Phys. 49 (2010)
Wang, X.W., Zhang, D.Y., Tang, S.Q., Xie, L.J.: Multiparty hierarchical quantum-information splitting. J. Phys. B At. Mol. Opt. Phys. 44, 035505 (2011)
Wootters, W.K., Zurek, W.H.: A single quantum cannot be cloned. Nature 299, 802–803 (1982)
Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394–4400 (1998)
Kiesel, N., Schmid, C., Weber, U., Toth, G., Guhne, O., Ursin, R., Weinfurter, H.: Experimental analysis of a four-qubit photon cluster state. Phys. Rev. Lett. 95, 210502 (2005)
Chen, K., Li, C.-M., Zhang, Q., Chen, Y.-A., Goebel, A., Chen, S., Mair, A., Pan, J.-W.: Experimental realization of one-way quantum computing with two-photon four-qubit cluster states. Phys. Rev. Lett. 99, 120503 (2007)
Tokunaga, Y., Kuwashiro, S., Yamamoto, T., Koashi, M., Imoto, N.: Generation of high-fidelity four-photon cluster state and quantum-domain demonstration of one-way quantum computing. Phys. Rev. Lett. 100, 210501 (2008)
Acknowledgments
Project supported by NSFC (Grant Nos. 61272514, 61003287, 61170272, 61121061, 61161140320), NCET (Grant No. NCET-13-0681), the Specialized Research Fund for the Doctoral Program of Higher Education (20100005120002), the Fok Ying Tong Education Foundation (No. 131067) and the Fundamental Research Funds for the Central Universities (No. BUPT2012RC0221).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xu, G., Wang, C. & Yang, YX. Hierarchical quantum information splitting of an arbitrary two-qubit state via the cluster state. Quantum Inf Process 13, 43–57 (2014). https://doi.org/10.1007/s11128-013-0670-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-013-0670-1