Abstract
In this paper, we propose a multi-proxy blind signature scheme based on controlled teleportation. Genuine four-qubit entangled state functions as quantum channel. The scheme uses the physical characteristics of quantum mechanics to implement delegation, signature and verification. The security analysis shows the scheme satisfies the security features of multi-proxy signature, unforgeability, undeniability, blindness and unconditional security.
Similar content being viewed by others
References
William, S.: Cryptography and Network Security: Principles and Practice, 2nd edn. Prentice Hall, New York (2003)
Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring, pp. 124–134 (1994)
Zeng, G.H., Ma, W.P., Wang, X.M., et al.: Signature scheme based on quantum cryptography. Acta Electron. Sin. 29(8), 1098–1100 (2001)
Lee, H., Hong, C., Kim, H., et al.: Arbitrated quantum signature scheme with message recovey. Phys. Lett. A 321(5–6), 295–300 (2004)
Wen, X.J., Liu, Y., Zhang, P.Y.: Digital multi-signature protocol based on teleportation. Wuhan Univ. J. Nat. Sci. 12(1), 29–32 (2007)
Wen, X.J., Liu, Y., Zhou, N.R.: Secure quantum telephone. Opt. Commun. 275(1), 278–282 (2007)
Li, Q., Chan, W.H., Long, D.Y.: Arbitrated quantum signature scheme using Bell states. Phys. Rev. A 79(5), 054307 (2009)
Wang, T.Y., Wei, Z.L.: One-time proxy signature based on quantum cryptography. Quantum Inf. Process. 11(2), 455–463 (2012)
Zhang, K.J., Zhang, W.W., Li, D.: Improving the security of arbitrated quantum signature gainst the forgery attack. Quantum Inf. Process. 12(8), 2655–2699 (2013)
Zou, X.F., Qiu, D.W.: Attack and improvements of fair quantum blind signature schemes. Quantum Inf. Process. 12(6), 2071–2085 (2013)
Wang, T.Y., Cai, X.Q.: Security of a sessional blind signature based on quantum cryptograph. Quantum Inf. Process. 13(8), 1677–1685 (2014)
Wang, T.Y., Cai, X.Q., Ren, Y.L., et al.: Security of quantum digital signatures for classical messages. Sci. Rep. 5, 9231 (2015)
Mambo, M, Usuda, K, Okamoto, E.: Proxy signatures for delegating signing operation. In: Proceedings of the 3rd ACM Conference on Computer and Communications Security, pp. 48–57. New Delhi (1996)
Barnum, H., Crepeau, C., Gottesman, D., Smith, A., Tapp, A.: In: Proceedings of the 43th Annual IEEE Symposium on Foundations of Computer Science, pp. 449–458 (2002)
Harn, L.: New digital signature scheme based on logarithm. Electron. Lett. 30 (5), 396–398 (1994)
Wen, X.J., Liu, Y., Sun, Y.: Quantum multi-signature protocol based on teleporation. Z. Naturforschung 62a, 147–151 (2007)
Zuo, H.J., Zhang, K., Song, T.T.: Security analysis of quantum multi-signature protol based on teleportation. Quantum Inf. Process. 12(7), 2343–2353 (2013)
Tian, Y., Chen, H., Ji, S.F., et al.: A broadcasting multiple blind signature scheme based on quantum teleportation. Opt. Quantum Electron. 46(6), 769–777 (2014)
Cao, H.J., Wang, H.S., Li, P.F.: Quantum proxy multi-signature scheme using genuinely entangled six qubits state. Int. J. Theor. Phys. 52(4), 1188–1193 (2013)
Cao, H.J., Huang, J., Yu, Y.F., et al.: A quantum proxy signature scheme based on genuine five-qubit entangled state. Int. J. Theor. Phys. 53(9), 3095–3100 (2014)
Li, M.L., Liu, J.J., Hong, W.N.: Quantum information splitting of a single-qubit via genuine four-qubit entangled states. Acta Sin. Quantum Opt. 19(2), 141–145 (2013)
Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85(2), 441–444 (2000)
Mayers, D.: Unconditional security in quantum cryptography. J. Assoc.: Comput. Math. 48(1), 351–406 (2001)
Inamon, H., Lutkenhaus, N., Mayers, D.: Unconditional security of practical quantum key distribution. Eur. Phys. J. D 41(3), 599–627 (2007)
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant Nos.61402275, 61273311, 61202317), the Natural Science Foundation of Shaanxi Province (Grant No.2015JM6263), Scientific Research Plan Projects of Shaanxi Education Department(Grant No.2012JK1003), and the Fundamental Research Funds for the Central Universities(Grant No.GK201402004).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tian, JH., Zhang, JZ. & Li, YP. A Quantum Multi-proxy Blind Signature Scheme Based on Genuine Four-Qubit Entangled State. Int J Theor Phys 55, 809–816 (2016). https://doi.org/10.1007/s10773-015-2719-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-015-2719-7