Skip to main content
SpringerLink
Log in

A Quantum Aggregate Signature Scheme Based on Quantum Teleportation Using Four-qubit Cluster State

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

With the development of quantum computing theory, classical digital signature scheme has encountered unprecedented challenges, which further facilitated the development of quantum digital signatures. In this paper, we propose a quantum aggregate signature scheme based on quantum teleportation using four-qubit cluster state. The security analysis shows that our scheme can neither be disavowed by the signers nor forged by any illegal attackers. In addition, the intercept-resend attack is invalid in our scheme.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Boneh, D., Gentry, C., Lynn, B., et al.: Aggregate and verifiably encrypted signatures from bilinear maps. In: International Conference on Theory and Applications of Cryptographic Techniques, pp 416–432. Warsaw, Poland (2003)

  2. Lu, S., Ostrovsky, R., Sahai, A., et al.: Sequential aggregate signatures and multisignatures without random oracles. In: 24Th Annual International Conference on Theory and Applications of Cryptographic Techniques, pp 465–485. St Petersburg, Russia (2006)

  3. Hohenberger, S., Sahai, A., Waters, B.: Full domain hash from (Leveled) multilinear maps and identity-based aggregate signatures. In: 33Rd Annual International Cryptology Conference, pp 494–512. Univ Calif Santa Barbara, Santa Barbara, CA (2013)

  4. Yuan, Y.M., Zhan, Q., Huang, H.: Efficient unrestricted identity-based aggregate signature scheme. Plos One 9(10), e110100 (2014)

    Article  ADS  Google Scholar 

  5. Jing, Z.J.: An efficient homomorphic aggregate signature scheme based on lattice. Mathematical Problems in Engineering 2014, 536527 (2014)

    MathSciNet  MATH  Google Scholar 

  6. Reddy, P.V., Gopal, P.V.S.S.N.: Identity-based key-insulated aggregate signature scheme. Journal of King Saud University – Computer and Information Sciences 29(3), 303–310 (2017)

    Article  Google Scholar 

  7. Shen, L.M., Ma, J.F., Liu, X.M., et al.: A provably secure aggregate signature scheme for healthcare wireless sensor networks. J. Med. Syst. 40(11), 244 (2016)

    Article  Google Scholar 

  8. Shen, L.M., Ma, J.F., Liu, X.M., et al.: A secure and efficient ID-based aggregate signature scheme for wireless sensor networks. IEEE Internet of Things Journal 4(2), 546–554 (2017)

    Article  Google Scholar 

  9. Wu, L.B., Xu, Z.Y., He, D.B., et al.: New certificateless aggregate signature scheme for healthcare multimedia social network on cloud environment. Security and Communication Networks 2018, 2595273 (2018)

    Google Scholar 

  10. Shen, L.M., Ma, J.F., Miao, Y.B., et al.: Provably secure certificateless aggregate signature scheme with designated verifier in an improved security model. IET Inf. Secur. 13(3), 167–173 (2019)

    Article  Google Scholar 

  11. Yang, X.D., Wang, J.L., Ma, T.C., et al.: A short certificateless aggregate signature against coalition attacks. Plos One 13(12), e0205453 (2018)

    Article  Google Scholar 

  12. Xie, Y., Li, X., Zhang, S.S., et al: iCLAS: An improved certificateless aggregate signature scheme for healthcare wireless sensor networks. IEEE Access 7, 15170–15182 (2019)

    Article  Google Scholar 

  13. Deng, L.Z., Yang, Y.X., Chen, Y.L.: Certificateless short aggregate signature scheme for mobile devices. IEEE Access 7, 87162–87168 (2019)

    Article  Google Scholar 

  14. Shu, H., Chen, F.L., Xie, D., et al.: An aggregate signature scheme based on a trapdoor hash function for the internet of things. Sensors 19, 4239 (2019)

    Article  ADS  Google Scholar 

  15. Xu, Z.Y., He, D.B., Kumar, N., et al.: Efficient certificateless aggregate signature scheme for performing secure routing in VANETs. Security and Communication Networks 2020, 5276813 (2020)

    Google Scholar 

  16. Shu, H., Qi, P., Huang, Y.Q., et al.: An efficient certificateless aggregate signature scheme for Blockchain-Based medical cyber physical systems. Sensors 20, 1521 (2020)

    Article  ADS  Google Scholar 

  17. Lee, D.H., Yim, K., Lee, I.Y.: A certificateless aggregate arbitrated signature scheme for IoT environments. Sensors 20, 3983 (2020)

    Article  ADS  Google Scholar 

  18. Chen, J.N., Huang, Z.J., Zhou, Y.P., et al.: Efficient certificate-based aggregate signature scheme for vehicular ad hoc networks. IET Netw. 9 (6), 290–297 (2020)

    Article  Google Scholar 

  19. Ye, X., Xu, G.C., Cheng, X.L., et al.: Certificateless-Based Anonymous authentication and aggregate signature scheme for vehicular ad hoc networks. Wireless Communications and Mobile Computing 2021, 6677137 (2021)

    Google Scholar 

  20. Hwang, Y.W., Lee, I.Y.: A lightweight Certificate-Based aggregate signature scheme providing key insulation. C. M. C. 69(2), 1747–1764 (2021)

    Google Scholar 

  21. Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput. 26(5), 1484–1509 (1997)

    Article  MathSciNet  Google Scholar 

  22. Cao, H.J., Wang, H.S., Li, P.F.: Quantum proxy Multi-Signature scheme using genuinely entangled six qubits state. Int. J. Thero. Phys. 52(4), 1188–1193 (2013)

    Article  MathSciNet  Google Scholar 

  23. Xiao, M., Li, Z.L.: Quantum broadcasting multiple blind signature with constant size. Quantum Inf. Process. 15(9), 3841–3854 (2016)

    Article  MathSciNet  ADS  Google Scholar 

  24. Zuo, H.J., Zhang, K.J., Song, T.T.: Security analysis of quantum multi-signature protocol based on teleportation. Quantum Inf. Process. 12(7), 2343–2353 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  25. Cao, H.J., Zhang, J.F., Liu, J., et al.: A new quantum proxy multi-signature scheme using maximally entangled seven-qubit states. Int. J. Thero. Phys. 55(2), 774–780 (2016)

    Article  MathSciNet  Google Scholar 

  26. Bennett, C.H., Brassard, G.: Quantum cryptography: Public key distribution and coin tossing. Theoretical Computer Science 560(1), 7–11 (2014)

    Article  MathSciNet  Google Scholar 

  27. Tian, J.H., Zhang, J.Z., Li, Y.P.: A Quantum Multi-proxy Blind Signature Scheme Based on Genuine Four-Qubit Entangled State. Int. J. Thero. Phys. 55(2), 809–816 (2016)

    Article  MathSciNet  Google Scholar 

  28. Zeng, C., Zhang, J.Z., Xie, S.C.: A quantum proxy blind signature scheme based on genuine Five-Qubit entangled state. Int. J. Thero. Phys. 56(6), 1762–1770 (2017)

    Article  MathSciNet  Google Scholar 

  29. Liu, G., Ma, W.P., Cao, H., et al.: A novel quantum group proxy blind signature scheme based on Five-Qubit entangled state. Int. J. Thero. Phys. 58(6), 1999–2008 (2019)

    Article  MathSciNet  Google Scholar 

  30. Zhang, J.L., Zhang, J.Z., Xie, S.C.: Improvement of a quantum proxy blind signature scheme. Int. J. Thero. Phys. 57(6), 1612–1621 (2018)

    Article  MathSciNet  Google Scholar 

  31. Yang, Y.Y., Xie, S., Zhang, J.Z.: An improved quantum proxy blind signature scheme based on genuine Seven-Qubit entangled state. Int. J. Thero. Phys. 56(7), 2293–2302 (2017)

    Article  MathSciNet  Google Scholar 

  32. Zhao, X.Q., Chen, H.Y., Wang, Y.Q., et al.: Semi-Quantum Bi-Signature Scheme based on w states. Int. J. Thero. Phys. 58(10), 3239–3251 (2019)

    Article  MathSciNet  Google Scholar 

  33. Zheng, T., Chang, Y., Zhang, S.B.: Arbitrated quantum signature scheme with quantum teleportation by using two three-qubit GHZ states. Quantum Inf. Process. 19, 163 (2020)

    Article  MathSciNet  ADS  Google Scholar 

  34. Yang, Y.G., Lei, H., Liu, Z.C., et al.: Arbitrated quantum signature scheme based on cluster states. Quantum Inf. Process. 15(6), 2487–2497 (2016)

    Article  MathSciNet  ADS  Google Scholar 

  35. Zhang, X., Zhang, J.Z., Xie, S.C.: A secure quantum voting scheme based on quantum group blind signature. Int. J. Thero. Phys. 59(3), 719–729 (2020)

    Article  MathSciNet  ADS  Google Scholar 

  36. Cao, H.J., Zhu, Y.Y., Li, P.F.: A quantum proxy weak blind signature scheme. Int. J. Thero. Phys. 53(2), 419–425 (2014)

    Article  Google Scholar 

  37. Niu, X.F., Zhang, J.Z., Xie, S.C.: A quantum Multi-Proxy blind signature scheme based on entangled Four-Qubit cluster state. Commun. Theor. Phys. 70 (1), 43–48 (2018)

    Article  MathSciNet  ADS  Google Scholar 

  38. He, Q.Q., Xin, X.J., Yang, Q.L.: Security analysis and improvement of a quantum multi-signature protocol. Quantum Inf. Process. 20, 26 (2021)

    Article  MathSciNet  ADS  Google Scholar 

  39. Briegel, H.J., Raussendorf, R.: Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86(5), 910–913 (2001)

    Article  ADS  Google Scholar 

  40. Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283(3), 2050–2056 (1999)

    Article  ADS  Google Scholar 

  41. Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85(2), 441–444 (2000)

    Article  ADS  Google Scholar 

  42. Zou, X.F., Qiu, D.W.: Security analysis and improvements of arbitrated quantum signature schemes. Phys. Rev. A. 82, 042325 (2010)

    Article  ADS  Google Scholar 

  43. Li, F.G., Shi, J.H.: An arbitrated quantum signature protocol based on the chained CNOT operations encryption. Quantum Inf. Process. 14(6), 2171–2181 (2015)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Acknowledgments

We would like to thank the anonymous reviewers for their valuable comments. This work was financially supported by the Applied Basic Research Project of Qinghai Province (2019-ZJ-7099).

Funding

This work was supported by [Applied Basic Research Project of Qinghai Province] (Grant numbers [2019-ZJ-7099]).

Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Qinghai Normal University, Xining, 810016, Qinghai, China

    Min-Guo You, Dian-Jun Lu, Ting-Ting Fan & Si-Jie Qian

  2. School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, 710119, Shaanxi, China

    Dian-Jun Lu

Authors
  1. Min-Guo You
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dian-Jun Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ting-Ting Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Si-Jie Qian
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by [Min-guo You], [Dian-jun Lu], [Ting-ting Fan] and [Si-jie Qian]. The first draft of the manuscript was written by [Min-guo You] and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Dian-Jun Lu.

Ethics declarations

Conflict of Interests

The authors have no relevant financial or non-financial interests to disclose.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

You, MG., Lu, DJ., Fan, TT. et al. A Quantum Aggregate Signature Scheme Based on Quantum Teleportation Using Four-qubit Cluster State. Int J Theor Phys 61, 155 (2022). https://doi.org/10.1007/s10773-022-05142-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10773-022-05142-6

Keywords

Search

Navigation