Abstract
In this work we address the issue of sharing a quantum secret over untrusted channels between the dealer and players. Existing solutions require entanglement over a number of systems which scales with the security parameter, quickly becoming impractical. We present protocols (interactive and a non-interactive) where single copy encodings are sufficient. Our protocols work for all quantum secret sharing schemes and access structures, and are implementable with current experimental set ups. For a single authorised player, our protocols act as quantum authentication protocols.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Shamir, A.: Commun. ACM 22, 612 (1979)
Blakley, G.R.: Proceedings of the National Computer Conference 48, 313–317 (1979)
Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)
Cleve, R., Gottesman, D., Lo, H.K.: Phys. Rev. Lett. 83, 648 (1999)
Ben-Or, M., Crépeau, C., Gottesman, D., Hassidim, A., Smith, A.: 47th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2006, pp. 249–260 (2006)
Barnum, H., Crépeau, C., Gottesman, D., Smith, A., Tapp, A.: Proc. 43rd Annual IEEE Symposium on the Foundations of Computer Science (FOCS 2002), pp. 449–458. IEEE Press (2002)
Broadbent, A., Gutoski, G., Stebila, D.: Quantum One-Time Programs. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013, Part II. LNCS, vol. 8043, pp. 344–360. Springer, Heidelberg (2013)
Markham, D., Sanders, B.C.: Phys. Rev. A 78(4), 042309 (2008)
Keet, A., Fortescue, B., Markham, D., Sanders, B.C.: Phys. Rev. A 82, 062315 (2010)
Marin, A., Markham, D.: Phys. Rev. A 88, 042332 (2013)
Marin, A., Markham, D., Perdrix, S.: In: TQC 2013. LIPICS, vol. 22, pp. 308–324 (2013)
Bell, B.A., Markham, D., Herrera-Martí, D.A., Marin, A., Wadsworth, W.J., Rarity, J.G., Tame, M.S.: Nature Communications 5, 5480 (2014)
Shor, P.W., Preskill, J.: Phys. Rev. Lett. 85, 441 (2000)
Pappa, A., Chailloux, A., Wehner, S., Diamanti, E., Kerenidis, I.: Phys. Rev. Lett. 108(26), 260502 (2012)
Christandl, M., Winter, A.: IEEE Trans. Inf. Theory 51(9), 3159–3165 (2005)
Browne, D.E., Rudolph, T.: Physical Review Letters 95, 010501 (2005)
Rigas, I., Gabriel, C., Berg-Johansen, S., Aiello, A., van Loock, P., Andersen, U.L., Marquardt, C., Leuchs, G.: Quant-ph/1210.5188
Ukai, R., Iwata, N., Shimokawa, Y., Armstrong, S.C., Politi, A., Yoshikawa, J.-I., van Loock, P., Furusawa, A.: Phys. Rev. Lett. 106, 240504 (2011)
Walther, P., Resch, K.J., Rudolph, T., Schenck, E., Weinfurter, H., Vedral, V., Aspelmeyer, M., Zeilinger, A.: Nature 434, 169 (2005)
Barz, S., Kashefi, E., Broadbent, A., Fitzsimons, J.F., Zeilinger, A., Walther, P.: Science 335, 303 (2012)
Bell, B.A., Herrera-Mart, D.A., Tame, M.S., Markham, M.S., Wadsworth, W.J., Rarity, W.J.: Nature Communications 5, 3658 (2014)
Broadbent, A., Chouha, P.R., Tapp, A.: Proceedings of the Third International Conference on Quantum, Nano and Micro Technologies (ICQNM 2009), pp. 59–62 (2009)
Javelle, J., Mhalla, M., Perdrix, S.: (2011), Preprint at http://arxiv.org/abs/1109.1487
Wunderlich, H., Wunderlich, C., Singer, K., Schmidt-Kaler, F.: Physical Review A 79, 052324 (2009)
Lanyon, B.P., Jurcevic, P., Zwerger, M., Hempel, C., Martinez, E.A., Briegel, W.H.J., Blatt, R., Roos, C.F.: Measurement-based quantum computation with trapped ions. Physical Review Letters 111, 210501 (2013)
Sheridan, L., Scarani, V.: Phys. Rev. A 82, 030301(R) (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Markham, D., Marin, A. (2015). Practical Sharing of Quantum Secrets over Untrusted Channels. In: Lehmann, A., Wolf, S. (eds) Information Theoretic Security. ICITS 2015. Lecture Notes in Computer Science(), vol 9063. Springer, Cham. https://doi.org/10.1007/978-3-319-17470-9_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-17470-9_1
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17469-3
Online ISBN: 978-3-319-17470-9
eBook Packages: Computer ScienceComputer Science (R0)