Abstract
We demonstrate an anonymous quantum communication (AQC) via the non-maximally entanglement state analysis (NESA) based on the dining cryptographer problem (DCP). The security of the present AQC is ensured due to the quantum-mechanical impossibility of local unitary transformations between non-maximally entanglement states, which provides random numbers for the secure AQC. The analysis shows that the DCP-based AQC can be performed without intractability through the NESA in the multi-photon entangled quantum system.
Similar content being viewed by others
References
Sun, Y., Wen, Q.Y., Yuan, Z.: Opt. Commun. 284, 527 (2011)
Jia, H.Y., Wen, Q.Y., Song, T.T., et al.: Opt. Commun. 284, 545 (2011)
David, C.: Commun. ACM 24, 84 (1981)
David, C.: J. Cryptol. 1, 65 (1988)
Stajano, F., Anderson, R.J.: Information hiding. In: Third International Workshop. Springer, Berlin (2000)
Luis, V.A., Andrew, B., Nicholas, J.H.: CCS’03 Proceedings of the 10th ACM Conference on Computer and Communications Security. ACM, New York (2003)
Boykin, P.: Ph.D. thesis, University of California, Los Angeles (2002)
Christandl, M., Wehner, S.: In: Asiacrypt 2005, pp. 217–235. Springer, Berlin (2005)
Bouda, J., Sprojcar, J.: In: The First International Conference on Quantum, Nano, and Micro Technologies, pp. 12–17. IEEE Press, New York (2007)
Brassard, G., Broadbent, A., Fitzsimons, J., et al.: In: Asiacrypt 2007, pp. 460–473. Springer, Berlin (2007)
Broadbent, A., Tapp, A.: In: Asiacrypt 2007, pp. 410–426. Springer, Berlin (2007)
Wang, T.Y., Wen, Q.Y., Zhu, F.C.: Sci. China, Phys. Mech. Astron. 53(12), 2227 (2010)
Kaoru, S., Kiyoshi, T., Hiroyuki, F.: Phys. Rev. A 80, 022323 (2009)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Shi, R.H., Su, Q., Guo, Y.: Commun. Theor. Phys. 55(4), 573 (2011)
Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Phys. Rev. Lett. 101, 208901 (2008)
Zhang, Y.S., Li, C.F., Guo, G.C.: Phys. Rev. A 63, 036301 (2001)
Gao, F., Wen, Q., Zhu, F.: Chin. Phys. B 17, 3189 (2008)
Qin, S., Gao, F., Wen, Q., Zhu, F.: Phys. Lett. A 357, 101 (2006)
Wóojcik, A.: Phys. Rev. Lett. 90, 157901 (2003)
Cai, Q.Y.: Phys. Rev. Lett. 91, 109801 (2003)
Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: Phys. Rev. A 77, 014302 (2008)
Gao, F., Qin, S., Wen, Q., Zhu, F.: Opt. Commun. 283, 192 (2010)
Gisin, N., Fasel, S., Kraus, B., Zbinden, H., Ribordy, G.: Phys. Rev. A 73, 022320 (2006)
Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.J.: Phys. Rev. A 72, 044302 (2005)
Curty, M., Santos, D.J., Pérez, E., García-Fernández, P.: Phys. Rev. A 66, 022301 (2002)
Zeng, G., Keitel, C.H.: Phys. Rev. A 65, 042312 (2002)
Zeng, G.: Phys. Rev. A 78, 016301 (2008)
Li, Q., Chan, W.H., Long, D.Y.: Phys. Rev. A 79, 054307 (2009)
Zou, X., Qiu, D.: Phys. Rev. A 82, 042325 (2010)
Gao, F., Qin, S.-J., Guo, F.-Z., Wen, Q.-Y.: Phys. Rev. A 84, 022344 (2011)
Author information
Authors and Affiliations
Corresponding author
Additional information
This work was supported by the National Natural Science Foundation of China (60902044, 61272495), the New Century Excellent Talents in University (NCET-11-0510), China, the 2011 Korea-China international Cooperative Research Project (Dooo66, 100026), and partly by the 2012 year Research Plan Projects of Science-Technology Department of Hunan Province, and the construct program of the key discipline in Hunan province and the Education Science “Twelfth Five” Plan Project of Hunan Province in China (Grant No. XJK011BGD050).
Rights and permissions
About this article
Cite this article
Shi, R., Su, Q., Guo, Y. et al. The Dining Cryptographer Problem-Based Anonymous Quantum Communication via Non-maximally Entanglement State Analysis. Int J Theor Phys 52, 376–384 (2013). https://doi.org/10.1007/s10773-012-1342-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-012-1342-0