Abstract
Using quantum homomorphic signature in quantum network, we propose a quantum broadcasting multiple blind signature scheme. Different from classical signature and current quantum signature schemes, the multi-signature proposed in our scheme is not generated by simply putting the individual signatures together, but by aggregating the individual signatures based on homomorphic property. Therefore, the size of the multi-signature is constant. Furthermore, based on a wide range of investigation for the security of existing quantum signature protocols, our protocol is designed to resist possible forgery attacks against signature and message from the various attack sources and disavowal attacks from participants.
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Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput. 41(5), 1487–1509 (1997)
Li, F.G., Shi, J.H.: An arbitrated quantum signature protocol based on the chained CNOT operation. Quantum Inf. Process. 14(6), 2171–2181 (2015)
Gottesman, D., Chuang, I.L.: Quantum digital signatures. arXiv:quant-ph/0105032 (2001)
Zeng, G., Keitel, C.H.: Arbitrated quantum-signature scheme. Phys. Rev. A 65(4), 042312 (2001)
Wang, T.Y., Wei, Z.L.: One-time proxy signature based on quantum cryptography. Quantum Inf. Process. 11(2), 455–463 (2012)
Wen, X., Tian, Y., Ji, L., et al.: A group signature scheme based on quantum teleportation. Phys. Scripta 81(5), 561–578 (2010)
Qi, S., Zheng, H., Wen, Q., et al.: Quantum blind signature based on two-state vector Formalism. Opt. Commun. 283(21), 4408–4410 (2010)
Wen, X.J., Liu, Y., Sun, Y.: Quantum multi-signature protocol based on teleportation. Zeitschrift fur Naturforschung A 62(62), 147–151 (2014)
Wen, X., Niu, X., Ji, L.: A weak blind signature scheme based on quantum cryptography. Opt. Commun. 282(4), 666–669 (2009)
Qi, S., Zheng, H., Wen, Q., et al.: Quantum blind signature based on two-state vector formalism. Opt. Commun. 283(21), 4408–4410 (2010)
Yang, C.W., Hwang, T., Luo, Y.P.: Enhancement on quantum blind signature based on two-state vector formalism. Quantum Inf. Process. 12(1), 109–117 (2013)
Wang, T.Y., Wen, Q.Y.: Fair quantum blind signatures. Chin. Phys. B 19(6), 66–70 (2010)
Lin, S., Yu, C.H., Guo, G.D.: Reexamining the security of fair quantum blind signature schemes. Quantum Inf. Process. 13(11), 2407–2415 (2014)
Xu, R., Huang, L., Yang, W., et al.: Quantum group blind signature scheme without entanglement. Opt. Commun. 284(14), 3654–3658 (2011)
Shi, J.J., Shi, R.H., Guo, Y., et al.: Batch proxy quantum blind signature scheme. Sci. China Inf. Sci. 56(5), 1–9 (2013)
Cai, X.Q., Zheng, Y.H., Zhang, R.L.: Cryptanalysis of a batch proxy quantum blind signature scheme. Int. J. Theor. Phys. 53(9), 3109–3115 (2014)
Tian, Y., Chen, H., Ji, S., et al.: A broadcasting multiple blind signature scheme based on quantum teleportation. Opt. Quantum Electron. 46(6), 769–777 (2013)
Zhang, W., Qiu, D.W., Zou, X.F.: Improvement of a quantum broadcasting multiple blind signature scheme based on quantum teleportation. Quantum Inf. Process. 15(6), 1–21 (2016)
Zuo, H., Zhang, K., Song, T.: Security analysis of quantum multi-signature protocol based on teleportation. Quantum Inf. Process. 12(7), 2343–2353 (2013)
Wen, X., Niu, X., Ji, L., et al.: A weak blind signature scheme based on quantum cryptography. Opt. Commun. 282(4), 666–669 (2009)
Yang, Y., Wang, Y., Teng, Y., et al.: Scalable arbitrated quantum signature of classical messages with multi-signers. Commun. Theor. Phys. 54(7), 84–88 (2010)
Wang, C., Liu, J.W., Shang, T.: Enhanced arbitrated quantum signature scheme using Bell states. Chin. Phys. B 23(06), 66–73 (2014)
Shi, W.M., Zhou, Y.H., Yang, Y.G.: Comment on the enhanced quantum blind signature protocol. Quantum Inf. Process. 13(6), 1305–1312 (2014)
Shi, W.M., Zhang, J.B., Zhou, Y.H., et al.: A new quantum blind signature with unlinkability. Quantum Inf. Process. 14(8), 1–12 (2015)
Yang, C.W., Hwang, T., Luo, Y.P.: Enhancement on quantum blind signature based on two-state vector formalism. Quantum Inf. Process. 12(1), 109–117 (2013)
Su, Q., Li, W.M.: Cryptanalysis of enhancement on quantum blind signature based on two-state vector formalism. Quantum Inf. Process. 13(5), 1245–1254 (2013)
Hwang, T., Luo, Y.P., Chong, S.K.: Comment on security analysis and improvements of arbitrated quantum signature schemes. Phys. Rev. A 85(5), 056301 (2011)
Luo, Y.P., Huang, T.: Arbitrated quantum signature of classical messages without using authenticated classical channels. Quantum Inf. Process. 13(1), 113–120 (2013)
Yang, Y.G., Zhou, Z., Teng, Y.W., et al.: Arbitrated quantum signature with an untrusted arbitrator. Eur. Phys. J. D 61(3), 773–778 (2011)
Shang, T., Zhao, X.J., Wang, C., et al.: Quantum homomorphic signature. Quantum Inf. Process. 14(1), 393–410 (2014)
Kim, T., Choi, J.W., Jho, N.S., et al.: Quantum messages with signatures forgeable in arbitrated quantum signature schemes. Phys. Scripta 90(2), 025101 (2014)
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Xiao, M., Li, Z. Quantum broadcasting multiple blind signature with constant size. Quantum Inf Process 15, 3841–3854 (2016). https://doi.org/10.1007/s11128-016-1360-6
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DOI: https://doi.org/10.1007/s11128-016-1360-6