Abstract
In this paper, we reexamined the security of fair quantum blind signature protocols and found there exists a secure leakage caused by the reuse of signing key. To illustrate it, a new attack strategy is proposed based on unambiguous set discrimination of quantum state. In this attack, the attacker can forge a valid signature for any message when he owns three signatures. Finally, a feasible improved method is proposed to solve this problem.
Similar content being viewed by others
References
Bennett, C.H., Brassard, G.: Quantum cryptography: public-key distribution and coin tossing. In: Proceedings IEEE International Conference on Computers. Systems, and Signal Processing, Bangalore, pp. 175–179. IEEE, New York (1984)
Chaum, D.: Blind signatures for untraceable payments. In: Advances in Cryptology: Proceedings of Crypto, vol. 82, pp. 199–203 (1983)
Stadler, M., Piveteau, J., Camenisch, J.: Fair blind signatures. In: Advances in Cryptology-Eurocrypt’95, pp. 209–219. Springer, Berlin (1995)
Wang, T.Y., Wen, Q.Y.: Fair quantum blind signatures. Chin. Phys. B 19, 060307 (2010)
He, L.B., Huang, L.S., Yang, W., Xu, R.: Cryptanalysis of fair quantum blind signatures. Chin. Phys. B 21, 030306 (2012)
Zou, X.F., Qiu, D.W.: Attack and improvements of fair quantum blind signature schemes. Quantum Inf. Process. 12, 2071–2085 (2013)
Chefles, A.: Unambiguous discrimination between linearly independent quantum states. Phys. Lett. A 239, 339 (1998)
Pang, S.S., Wu, S.J.: Optimum unambiguous discrimination of linearly independent pure states. Phys. Rev. A 80, 052320 (2009)
Zhang, S.Y., Ying, M.S.: Set discrimination of quantum states. Phys. Rev. A 65, 062322 (2002)
Sun, Y.Q., Bergou, J.A., Hillery, M.: Optimum unambiguous discrimination between subsets of nonorthogonal quantum states. Phys. Rev. A 66, 032315 (2002)
Lin, S., Wen, Q.Y., Gao, F., Zhu, F.C.: Eavesdropping on secure deterministic communication with qubits through photon-number-splitting attacks. Phys. Rev. A 79, 054303 (2009)
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 61202451, 61202452, 61370078), the Foundation of Fujian Education Bureau (Grant Nos. JA12062, JA11054), a Program for Innovative Research Team in Science and Technology in Fujian Province University, and a Fujian Normal University Innovative Research Team (Grant No. IRTL1207).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lin, S., Yu, CH. & Guo, GD. Reexamining the security of fair quantum blind signature schemes. Quantum Inf Process 13, 2407–2415 (2014). https://doi.org/10.1007/s11128-014-0840-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-014-0840-9