Expansible quantum secret sharing network
Tóm tắt
In the practical applications, member expansion is a usual demand during the development of a secret sharing network. However, there are few consideration and discussion on network expansibility in the existing quantum secret sharing schemes. We propose an expansible quantum secret sharing scheme with relatively simple and economical quantum resources and show how to split and reconstruct the quantum secret among an expansible user group in our scheme. Its trait, no requirement of any agent’s assistant during the process of member expansion, can help to prevent potential menaces of insider cheating. We also give a discussion on the security of this scheme from three aspects.
Tài liệu tham khảo
Blakley, G.R.: Safeguarding cryptographic keys. In: Proceedings of National Computer Conference, pp. 313–317. AFIPS, New York (1979)
Shamir, A.: How to share a secret. Commun. ACM 22, 612 (1979)
Hillery, M., Bužek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)
Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162 (1999)
Cleve, R., Gottesman, D., Lo, H.K.: How to share a quantum secret. Phys. Rev. Lett. 83, 648 (1999)
Gottesman, D.: Theory of quantum secret sharing. Phys. Rev. A 61, 042311 (2000)
Bandyopadhyay, S.: Teleportation and secret sharing with pure entangled states. Phys. Rev. A 62, 012308 (2000)
Tittel, W., Zbinden, H., Gisin, N.: Experimental demonstration of quantum secret sharing. Phys. Rev. A 63, 042301 (2001)
Guo, G.-P., Guo, G.-C.: Quantum secret sharing without entanglement. Phys. Lett. A 310, 247–251 (2003)
Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)
Zhang, Z.J., Li, Y., Man, Z.X.: Multiparty quantum secret sharing. Phys. Rev. A 71, 044301 (2005)
Zhang, Z.J., Yang, J., Man, Z.X., Li, Y.: Multiparty secret sharing of quantum information using and identifying Bell states. Eur. Phys. J. D 33, 133–136 (2005)
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)
Deng, F.-G., Li, X.-H., Li, C.-Y., Zhou, P., Zhou, H.-Y.: Quantum state sharing of an arbitrary two-qubit state with two-photon entanglements and Bell-state measurements. Eur. Phys. J. D 39, 459–464 (2006)
Gordon, G., Rigolin, G.: Generalized quantum-state sharing. Phys. Rev. A 73, 062316 (2006)
Zheng, S.B.: Splitting quantum information via W states. Phys. Rev. A 74, 054303 (2006)
Bogdanski, J., Rafiei, N., Bourennane, M.: Experimental quantum secret sharing using telecommunication fiber. Phys. Rev. A 78, 062307 (2008)
Yu, I.-C., Lin, F.-L., Huang, C.-Y.: Quantum secret sharing with multilevel mutually (un)biased bases. Phys. Rev. A 78, 012344 (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)
Choudhury, S., Muralidharan, S., Panigrahi, P.K.: Quantum teleportation and state sharing using a genuinely entangled six-qubit state. J. Phys. A Math. Theor. 42, 115303 (2009)
Sarvepalli, P., Raussendorf, R.: Matroids and quantum-secret-sharing schemes. Phys. Rev. A 81, 052333 (2010)
Li, Q., Chan, W.H., Long, D.Y.: Semiquantum secret sharing using entangled states. Phys. Rev. A 82, 022303 (2010)
Wang, T.-Y., Wen, Q.-Y.: Security of a kind of quantum secret sharing with single photons. Quantum Inf. Comput. 11, 434–443 (2011)
Yang, Y.G., Wang, Y., Chai, H.P., et al.: Member expansion in quantum (\(t, n\)) threshold secret sharing schemes. Opt. Commun. 284, 3479–3482 (2011)
Jia, H.Y., Wen, Q.Y., Gao, F., et al.: Dynamic quantum secret sharing. Phys. Lett. A 376, 1035–1041 (2012)
Hsu, J.-L., Chong, S.-K., Hwang, T., Tsai, C.-W.: Dynamic quantum secret sharing. Quantum Inf. Process. Publish online: (04 March 2012)
Pan, G.X., Liu, Y.M., Zhang, Z.J.: Classical communication and entanglement cost in preparing a class of multi-qubit states. Commun. Theor. Phys. 49, 631–634 (2008)
Liu, Y.M., Wang, Z.Y., Liu, X.S., Zhang, Z.J.: Symmetric and probabilistic multiparty remote state preparation via the positive-operator-valued measure. Int. J. Quantum Inf. 7, 991 (2009)
Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.J.: Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys. Rev. A 72, 044302 (2005)
Gao, F., Qin, S.J., Wen, Q.Y., Zhu, F.C.: A simple participant attack on the brádler-dušek protocol. Quantum Inf. Comput. 7, 329–334 (2007)
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)
Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85, 441–444 (2000)
Calderbank, A.R., Shor, P.W.: Good quantum error-correcting codes exist. Phys. Rev. A 54, 1098–1105 (1996)
Stinespring, W.F., Am, P.: Positive functions on C\(^{*}\)-algebras. Math. Soc. 6, 211–216 (1955)
Ioffe, L., Mézard, M.: Asymmetric quantum error correcting codes. Phys. Rev. A 75, 86–90 (2007)