Abstract
A new communication mode, quantum simultaneous secret distribution (QSSD) is put forward, where one sender distributes different classical secret message to multiparty receivers simultaneously. Based on the properties of the one-dimensional four-qubit cluster states, a three-party QSSD protocol is proposed, and then it is extended to the case that there are many receivers. Owing to the idea of quantum dense coding, each receiver can receive two bits of classical message by the sender only using a cluster state. In order to check security of quantum channels, a strategy which can prevent common attacks efficiently is put forward. QSSD is distinct from quantum secret sharing (QSS) and quantum broadcast communication (QBC), but it can be easily converted into QSS and QBC. QSSD is also different from the multiple-QKD communication mode where the sender shares a private key with each receiver at first, while in QSSD the sender doesn’t; in addition, only one round of one-to-many communication is performed in QSSD, while in multiple-QKD communication mode many rounds of one-to-one communication are performed.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, pp. 175–179. Bangalore, India (1984)
Gisin, N., Ribordy, G.G., Tittel, W., Zbinden, H.: Quantum cryptography. Rev. Mod. Phys. 74(1), 145–195 (2002)
Blakley, G.R.: Safeguarding cryptographic keys. In: Proceedings of the National Computer Conference, pp. 313–317. New York (1979)
Shamir, A.: How to share a secret. Commun. ACM 22(11), 612–613 (1979)
Cleve, R., Gottesman, D., Lo, H.K.: How to share a quantum secret. Phys. Rev. Lett. 83(3), 648–651 (1999)
Hillery, M., Bužek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59(3), 1829–1834 (1999)
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59(1), 162–168 (1999)
Chi, D.P., Choi, J.W., Kim, J.S., Kim, T., Lee, S.: Quantum states for perfectly secure secret sharing. Phys. Rev. A 78(1), 012351 (2008)
Markham, D., Sanders, B.C.: Graph states for quantum secret sharing. Phys. Rev. A 78(4), 042309 (2008)
Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77(3), 032321 (2008)
Yu, I.C., Lin, F.L., Huang, C.Y.: Quantum secret sharing with multilevel mutually (un)biased bases. Phys. Rev. A 78(1), 012344 (2008)
Keet, A., Fortescue, B., Markham, D., Sanders, B.C.: Quantum secret sharing with qudit graph states. Phys. Rev. A 82(6), 062315 (2010)
Sarvepalli, P., Raussendorf, R.: Matroids and quantum-secret-sharing schemes. Phys. Rev. A 81(5), 052333 (2010)
Scherpelz, P., Resch, R., Berryrieser, D., Lynn, T.W.: Entanglement-secured single-qubit quantum secret sharing. Phys. Rev. A 84(3), 032303 (2011)
Jiang, M., Huang, X., Zhou, L.L., Zhou, Y.M., Zeng, J.: An efficient scheme for multi-party quantum state sharing via non-maximally entangled states. Chin. Sci. Bull. 57(10), 1089–1094 (2012)
Liu, Z.H., Chen, H.W., Xu, J., Liu, W.J., Li, Z.Q.: High-dimensional deterministic multiparty quantum secret sharing without unitary operations. Quantum Inf. Process. 11(6), 1785–1795 (2012)
Long, Y.X., Qiu, D.W., Long, D.Y.: Quantum secret sharing of multi-bits by an entangled six-qubit state. J. Phys. A: Math. Theor. 45(19), 195303 (2012)
Massoud, H.D., Elham, F.: A novel and efficient multiparty quantum secret sharing scheme using entangled states. Sci. China: Phys. Mech. Astron. 55(10), 1828–1831 (2012)
Nie, Y.Y., Li, Y.H., Liu, J.C., Sang, M.H.: Quantum information splitting of an arbitrary three-qubit state by using a genuinely entangled five-qubit state and a Bell-state. Quantum Inf. Process. 11(2), 563–569 (2012)
Shi, R.H., Zhong, H.: Multiparty quantum secret sharing with the pure entangled two-photon states. Quantum Inf. Process. 11(1), 161–169 (2012)
Tsai, C.W., Hwang, T.: Multi-party quantum secret sharing based on two special entangled states. Sci. China: Phys. Mech. Astron. 55(3), 460–464 (2012)
Xu, J., Chen, H.W., Liu, Z.H.: A simple and secure quantum secret sharing scheme based on product states. Int. J. Quantum Inf. 10(3), 1250031 (2012)
Chen, X.B., Niu, X.X., Zhou, X.J., Yang, Y.X.: Multi-party quantum secret sharing with the single-particle quantum state to encode the information. Quantum Inf. Process. 12(1), 365–380 (2013)
Dehkordi, M.H., Fattahi, E.: Threshold quantum secret sharing between multiparty and multiparty using Greenberger-Horne-Zeilinger state. Quantum Inf. Process. 12(2), 1299–1306 (2013)
Gao, G.: Secure multiparty quantum secret sharing with the collective eavesdropping-check character. Quantum Inf. Process. 12(1), 55–68 (2013)
Guo, Y., Zhao, Y.Q.: High-efficient quantum secret sharing based on the Chinese remainder theorem via the orbital angular momentum entanglement analysis. Quantum Inf. Process. 12(2), 1125–1139 (2013)
Hsu, J.L., Chong, S.K., Hwang, T., Tsai, C.W.: Dynamic quantum secret sharing. Quantum Inf. Process. 12(1), 331–344 (2013)
Li, L.Z., Qiu, D.W., Mateus, P.: Quantum secret sharing with classical Bobs. J. Phys. A: Math. Theor. 46(4), 045304 (2013)
Lin, J., Hwang, T.: New circular quantum secret sharing for remote agents. Quantum Inf. Process. 12(1), 685–697 (2013)
Li, X.H., Deng, F.G., Li, C.Y., Liang, Y.J., Zhou, P., Zhou, H.Y.: Deterministic secure quantum communication without maximally entangled states. J. Korean Phys. Soc. 49(4), 1354–1359 (2006)
Long, G.L., Deng, F.G., Wang, C., Li, X.H.: Quantum secure direct communication and deterministic secure quantum communication. Front. Phys. China 2(3), 251–272 (2007)
Wang, J., Zhang, Q., Tang, C.J.: Quantum broadcast communication. Chin. Phys. 16(7), 1868–1877 (2007)
Yang, Y.G., Wang, Y.H., Wen, Q.Y.: Quantum broadcast communication with authentication. Chin. Phys. B 19(7), 070304 (2010)
Briegel, H.J., Raussendorf, R.: Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86(5), 910–913 (2001)
Wang, X.W., Shan, Y.G., Xia, L.X., Lu, M.W.: Dense coding and teleportation with one-dimensional cluster states. Phys. Lett. A 364(1), 7–11 (2007)
Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69(20), 2881–2884 (1992)
Bennett, C.H., Bessette, F., Brassard, G., Salvail, L., Smolin, J.: Experimental quantum cryptography. J. Cryptol. 5, 3–28 (1992)
Bechmann-Pasquinucci, H., Tittel, W.: Quantum cryptography using larger alphabets. Phys. Rev. A 6106(6), 062308 (2000)
Acknowledgments
This work is supported by China National Nature Science Foundation (Grant Nos. 61170321 and 61103235), Research Fund for the Doctoral Program of Higher Education (Grant No. 20110092110024).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, Z., Chen, H., Liu, W. et al. Quantum simultaneous secret distribution with dense coding by using cluster states. Quantum Inf Process 12, 3745–3759 (2013). https://doi.org/10.1007/s11128-013-0633-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-013-0633-6