Abstract
Quantum secret sharing (QSS) is a project to distribute a secret message to multi-parties, who cannot restore it individually only need to cooperate in order to decode it. Here we design a five-partite QSS scheme to perform continuous-variable threshold quantum secret sharing. To finish the secret reconstruction for five players, we use two different methods including feedfoward loop and Mach-Zehnder interferometers. It shows that this scheme can yield perfect secret reconstruction.
Similar content being viewed by others
References
Cleve, R., Gottesman, D., Lo, H.-K.: Phys. Rev. Lett. 83, 648 (1999)
Gottesman, D.: Phys. Rev. A 61, 042311 (2000)
Nascimento, A.C.A., Mueller-Quade, J., Imai, H.: Phys. Rev. A 64, 042311 (2001)
Singh, S.K., Srikanth, R.: Phys. Rev. A 71, 012328 (2005)
Markham, D., Sanders, B.C.: Phys. Rev. A 78, 042309 (2008)
Lance, A.M, Symul, T., Bowen, W.P., Tyc, T., Sanders, B.C., Lam, P.K.: J. Phys. 5, 4.1–4.13 (2003)
Keet, A., Fortescue, B., Markham, D., Sanders, B.C.: Phys. Rev. A 82, 062315 (2010)
Sarvepalli, P.: Phys. Rev. A 86, 042303 (2012)
Wu, Y.D., Cai, R.Z., He, G.Q., Zhang, J.: Quantum Inf. Process 13, 1085 (2014)
Blakley, G.R.: Proc. Natl. Comput. Conf. 48, 313 (1979)
Shamir, A.: Commun. ACM 22, 612 (1979)
Wang, J., Li, L., Peng, H., Yang, Y.: Phys. Rev. A 95, 022320 (2017)
Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)
Tyc, T., Sanders, B.C.: . Phys. Rev. A 65, 042310 (2002)
Ou, Z.Y., Pereira, S.F., Kimble, H.J., Peng, K.C.: Phys. Rev. Lett. 68, 3663 (1992)
Bowen, W.P., Schnabel, R., Lam, P.K., Ralph, T.C.: Phys. Rev. Lett. 90, 043601 (2003)
Zhang, J., Braunstein, S.L.: Phys. Rev. A 73, 032318 (2006)
Zhang, J.: Phys. Rev. A 78, 052307 (2008)
Menicucci, N.C., van Loock, P., Gu, M., Weedbrook, C., Ralph, T.C., Nielsen, M.A.: Phys. Rev. Lett. 97, 110501 (2006)
Gu, M., Weedbrook, C., Menicucci, N.C., Ralph, T.C., van Loock, P.: Phys. Rev. A 79, 062318 (2009)
Ren, L., He, G., Zeng, G.: Phys. Rev. A 78, 042302 (2008)
Gaertner, S., Kurtsiefer, C., Bourennane, M., Weinfurter, H.: Phys. Rev. Lett. 98, 020503 (2007)
Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Phys. Rev. Lett. 92, 177903 (2004)
Kogias, I., Xiang, Y., He, Q.Y., Adesso, G.: arXiv:1603.03224v1 [quant-ph]
Lam, P.K., Ralph, T.C., Huntington, E.H., Bachor, H.A.: Phys. Rev. Lett. 79, 1471 (1997)
Ralph, T.C.: Phys. Rev. A 56, 4187 (1997)
Huntington, E.H., Lam, P.K., Ralph, T.C., McClelland, D.E., Bachor, H.A.: Opt. Lett. 23, 540 (1998)
Furusawa, A. et al.: Science 282, 706 (1998)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Wu, E. Five-Partite Continuous-Variable Quantum State Sharing. Int J Theor Phys 59, 1598–1604 (2020). https://doi.org/10.1007/s10773-020-04427-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-020-04427-y