Skip to main content
SpringerLink
Log in

Offline Arbitrated Semi-Quantum Signature Scheme with Four-Particle Cluster State

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

Abstract

The emergence of the semi-quantum concept makes it possible for people without quantum capabilities to communicate securely. An offline arbitrated semi-quantum signature scheme based on four-particle cluster states is put forward, in which two classical parties could complete the signature with the assistance of the quantum arbitrator. Different from the typical arbitrated quantum signature schemes, the arbitrator in our protocol acts as a relay station for delivering signature and no longer intervenes in the direct authentication of signature, leaving the signature receiver with full authentication rights. There is no additional direct communication between the signer and the receiver, which reduces the complexity of transmission. Besides, security analysis manifests that the proposed semi-quantum signature scheme is secure.

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

Similar content being viewed by others

References

  1. Zeng, G.H., Keitel, C.H.: Arbitrated quantum-signature scheme. Phys. Rev. A. 65(4), 042312 (2002)

    Article  ADS  Google Scholar 

  2. Li, Q., Chan, W.H., Long, D.Y.: Arbitrated quantum signature scheme using bell states. Phys. Rev. A. 79(5), 054307 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  3. Zou, X.F., Qiu, D.W.: Security analysis and improvements of arbitrated quantum signature schemes. Phys. Rev. A. 82(4), 042325 (2010)

    Article  ADS  Google Scholar 

  4. Wen, X.J., Niu, X.M., Ji, L.P., Tian, Y.: A weak blind signature scheme based on quantum cryptography. Opt. Commun. 282(4), 666–669 (2009)

    Article  ADS  Google Scholar 

  5. 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. Theor. Phys. 55(2), 809–816 (2016)

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  7. Wang, T.Y., Wei, Z.L.: One-time proxy signature based on quantum cryptography. Quantum Inf. Process. 11(2), 455–463 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  8. Wen, X.J., Tian, Y., Ji, L.P., Niu, X.M.: A group signature scheme based on quantum teleportation. Phys. Scr. 81(5), 055001 (2010)

    Article  ADS  Google Scholar 

  9. Xu, R., Huang, L.S., Yang, W., He, L.B.: Quantum group blind signature scheme without entanglement. Opt. Commun. 284(14), 3654–3658 (2011)

    Article  ADS  Google Scholar 

  10. Gao, F., Qin, S.J., Guo, F.Z., Wen, Q.Y.: Cryptanalysis of the arbitrated quantum signature protocols. Phys. Rev. A. 84(2), 022344 (2011)

    Article  ADS  Google Scholar 

  11. Choi, J.W., Chang, K.Y., Hong, D.: Security problem on arbitrated quantum signature schemes. Phys. Rev. A. 84(6), 062330 (2011)

    Article  ADS  Google Scholar 

  12. Li, Q., Li, C.Q., Long, D.Y.: Efficient arbitrated quantum signature and its proof of security. Quantum Inf. Process. 12(7), 2427–2439 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  13. Liu, F., Qin, S.J., Su, Q.: An arbitrated quantum signature scheme with fast signing and verifying. Quantum Inf. Process. 13(2), 491–502 (2014)

    Article  ADS  Google Scholar 

  14. Li, Q., Du, R.G., Long, D.Y., Wang, C.J., Chan, W.H.: Entanglement enhances the security of arbitrated quantum signature. Int. J. Quantum Inf. 7(5), 913–925 (2009)

    Article  Google Scholar 

  15. 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 (2012)

    Article  ADS  Google Scholar 

  16. Zhang, K.J., Zhang, W.W., Li, D.: Improving the security of arbitrated quantum signature against the forgery attack. Quantum Inf. Process. 12(8), 2655–2669 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  17. Li, Q., Li, C.Q., Wen, Z.H., Zhao, W.Z., Chan, W.H.: On the security of arbitrated quantum signature schemes. J. Phys. A-Math. Theor. 46(1), 015307 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  18. Xin, X., He, Q., Wang, Z., Yang, Q., Li, F.: Security analysis and improvement of an arbitrated quantum signature scheme. Optik. 189, 23–31 (2019)

    Article  ADS  Google Scholar 

  19. Boyer, M., Kenigsberg, D., Mor, T.: Quantum key distribution with classical bob. Phys. Rev. Lett. 99(14), 140501 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  20. Boyer, M., Gelles, R., Kenigsberg, D., Mor, T.: Semiquantum key distribution. Phys. Rev. A. 79, 032341 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  21. Zou, X.F., Qiu, D.W., Li, L.Z., Wu, L.H., Li, L.J.: Semiquantum-key distribution using less than four quantum states. Phys. Rev. A. 79(5), 052312 (2009)

    Article  ADS  Google Scholar 

  22. Zhou, N.R., Zhu, K.N., Zou, X.F.: Multi-party semi-quantum key distribution protocol with four-particle cluster states. Ann. Phy. 531(8), (2019)

  23. Iqbal, H., Krawec, W.O.: Semi-quantum cryptography. Quantum Inf. Process. 19, 97 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  24. Shukla, C., Thapliyal, K., Pathak, A.: Semi-quantum communication: protocols for key agreement, controlled secure direct communication and dialogue. Quantum Inf. Process. 16(12), 295 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  25. Li, H.H., Gong, L.H., Zhou, N.R.: New semi-quantum key agreement protocol based on high-dimensional single-particle states. Chin. Phys. B. (2020). https://doi.org/10.1088/1674-1056/abaedd

  26. Zhou, N.R., Zhu, K.N., Bi, W., Gong, L.H.: Semi-quantum identification. Quantum Inf. Process. 18(6), 197 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  27. Luo, Y.P., Hwang, T.: Authenticated semi-quantum direct communication protocols using bell states. Quantum Inf. Process. 15(2), 947–958 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  28. Beaudry, N.J., Lucamarini, M., Mancini, S., Renner, R.: Security of two-way quantum key distribution. Phys. Rev. A. 88(6), 062302 (2013)

    Article  ADS  Google Scholar 

  29. Krawec, W.O.: Security of a semi-quantum protocol where reflections contribute to the secret key. Quantum Inf. Process. 15(5), 2067–2090 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  30. Boyer, M., Liss, R., Mor, T.: Attacks against a simplified experimentally feasible semiquantum key distribution protocol. Entropy. 20(7), 536 (2018)

    Article  ADS  Google Scholar 

  31. Raussendorf, R., Harrington, J.: Fault-tolerant quantum computation with high threshold in two dimensions. Phys. Rev. Lett. 98(19), 190504 (2007)

    Article  ADS  Google Scholar 

  32. Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. A. 85(26), 5635 (2000)

    ADS  Google Scholar 

  33. Yang, Y.G., Lei, H., Liu, Z.C., Zhou, Y.H., Shi, W.M.: Arbitrated quantum signature scheme based on cluster states. Quantum Inf. Process. 15(6), 2487–2497 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  34. Fatahi, N., Naseri, M., Gong, L.H., Liao, Q.H.: High-efficient arbitrated quantum signature scheme based on cluster states. Int. J. Theor. Phys. 56, 609–616 (2017)

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61871205 and 61561033) and the Major Academic Discipline and Technical Leader of Jiangxi Province (Grant No. 20162BCB22011).

Author information

Authors and Affiliations

  1. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Liao-Yuan Chen, Qiang Liao & Li-Hua Gong

  2. State Grid Jiangxi Information & Telecommunication Company, Nanchang, 330096, China

    Ru-Chao Tan

  3. Department of Physics, Nanchang University, Nanchang, 330031, China

    Hua-Ying Chen

Authors
  1. Liao-Yuan Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Qiang Liao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ru-Chao Tan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Li-Hua Gong
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Hua-Ying Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hua-Ying Chen.

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

Chen, LY., Liao, Q., Tan, RC. et al. Offline Arbitrated Semi-Quantum Signature Scheme with Four-Particle Cluster State. Int J Theor Phys 59, 3685–3695 (2020). https://doi.org/10.1007/s10773-020-04605-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-020-04605-y

Keywords

Search

Navigation