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Quantum Mutual Implicit Authentication Key Agreement Protocol without Entanglement with Key Recycling

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Abstract

Implicit authentication is an efficient tool focusing on achieving identity authentication during the transmitting ciphertext or signed message without extra authentication information. As quantum cryptography is emerging as a means to provide true randomness between quantum smart devices, it is imperative and crucial to solve the problem that computational cryptography could be cracked in the future. In this article, a novel quantum mutual implicit authentication key protocol (QMIAK) is proposed, which is based on single photon and key recycling for improving efficiency without entanglement. QMIAK guarantees the fairness of the trusted parties by mutually determining the base for encoding and decoding the authentication key. Besides, the fusion coding used in this scheme can effectively prevent Eve from intercepting and analyzing the authentication key, which greatly enhances the security of the proposed protocol. For increasing the utilization of the quantum bits, we adopt key recycling mechanism. In addition, the content of security proof and efficiency analysis also demonstrate our protocol is suitable for efficiently protecting authentication keys and feasible to implement.

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The raw/processed data required to reproduce these findings cannot be shared at this time as the data also forms part of an ongoing study.

References

  1. Yuan, H., Liu, Y.-M., Pan, G.-Z., Zhang, G., Zhou, J., Zhang, Z.-J.: Quantum identity authentication based on ping-pong technique without entanglements. Quantum Inf. Process. 13(11), 2535–2549 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Zawadzki, P.: Quantum identity authentication without entanglement. Quantum Inf. Process. 18(1), 7 (2019)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. Ma, H., Huang, P., Bao, W., Zeng, G.: Continuous-variable quantum Identity authentication based on quantum teleportation. Quantum Inf. Process. 15(6), 2605–2620 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. McEliece, R.J.: A public-key cryptosystem based on algebraic coding theory. DSN progress report 42(44), 114–116 (1978)

    ADS  Google Scholar 

  5. Bernstein, D. J.: Introduction to post-quantum cryptography. In: Post-quantum cryptography, pp. 1–14. Springer Berlin Heidelberg, Berlin, Heidelberg (2009)

  6. Regev, O.: On lattices, learning with errors, random linear codes, and cryptography. J. ACM 56(6), 1–40 (2009)

  7. Bernstein, D. J., Hopwood, D., H¨ulsing, A., Lange, T., Niederhagen, R., Papachristodoulou, L., Schwabe, P., Wilcox-O’Hearn, Z.: SPHINCS: practical state-less hash-based signatures. Tech Report, October (2014) https://doi.org/10.1007/978-3-662-46800-5_15

  8. Eisenbarth, T., Maurich, I. V., Ye, X.: Faster hash-based signatures with bounded leakage. In Selected Areas in Cryptography – SAC 2013, Springer LNCS, pages 223–243. (2014)

  9. Hong, C.H., Heo, J., Jang, J.G., Kwon, D.: Quantum identity authentication with single photon. Quantum Inf. Process. 16, 1–20 (2017)

  10. Bennet, C. H., Brassard, G.: Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing, IEEE, New York, p. 175 (1984)

  11. Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of International Conference on Computers, Systems and Signal Processing, New York, pp. 175–179 (1984)

  12. Cleve, R., Gottesman, D., Lo, H.K.: How to Share a Quantum Secret. Phys. Rev. Lett. 83, 648 (1999)

    Article  ADS  Google Scholar 

  13. Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65, 032302–032304 (2002)

    Article  ADS  Google Scholar 

  14. Créau, C., Salvail, L.: Advances in Cryptology In: Proceedings of Eurocrypt’ 95, p. 133. Springer, Berlin (1995)

  15. Dušek, M., Haderka, O., Hendrych, M., & Myška, R.: Quantum identification system. Phys. Rev. A 60(1), 149 (1999). https://doi.org/10.1103/PhysRevA.60.149

  16. Zeng, G., Zhang, W.: Identity verification in quantum key distribution. Phys. Rev. A 61, 022303 (2000)

    Article  ADS  Google Scholar 

  17. Ljunggren, D., Bourennane, M., Karlsson, A.: Authority-based user authentication in quantum key distribution. Phys. Rev. A 62, 022305 (2000)

    Article  ADS  Google Scholar 

  18. Mihara, T.: Quantum identification schemes with entanglements. Phys. Rev. A 65(5), 052326 (2002). https://doi.org/10.1103/PhysRevA.65.052326

  19. Zhou, N., Zeng, G.H., Zeng, W.J., Zhu, F.C.: Cross-center quantum identification scheme based on teleportation and entanglement swapping. Opt. Commun. 254, 380 (2005)

    Article  ADS  Google Scholar 

  20. Wang, J., Zhang Q., Tang, C. J.: Authenticated Multiuser Quantum Direct Communication using Entanglement Swapping. e-prints: quant-ph/0605006, (2006)

  21. Zhang, Z., Zeng, G., Zhou, N., Xiong, J.: Quantum identity authentication based on ping-pong technique for photons. Phys. Lett. A 356, 199 (2006)

    Article  ADS  MATH  Google Scholar 

  22. Lo, H.-K.: Quantum key distribution with vacua or dim pulses as decoy states. In: Proceedings of IEEE ISIT. IEEE, p. 137 (2004)

  23. Lo, H.-K., Ma, X., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94, 230504 (2005)

    Article  ADS  Google Scholar 

  24. Wang, X.-B.: Beating the pns attack in practical quantum cryptography. Phys. Rev. Lett. 94, 230503 (2005)

    Article  ADS  Google Scholar 

  25. Wang, X.-B.: A decoy-state protocol for quantum cryptography with 4 intensities of coherent states. Phys. Rev. A 72, 012322 (2005)

    Article  ADS  Google Scholar 

  26. Hwang, W.-Y.: Quantum key distribution with high loss: toward global secure communication. Phys. Rev. Lett. 91, 057901 (2003)

    Article  ADS  Google Scholar 

  27. Lo, H.K., Chau, H.F., Ardehali, M.: Efficient quantum key distribution scheme and a proof of its unconditional security. J. Cryptol. 18, 133–165 (2005). https://doi.org/10.1007/s00145-004-0142-y

  28. Damgard, I. B., Pedersen, T. B., Salvail, L.: A quantum cipher with near optimal key-recycling. In: Shoup, Advances in Cryptology. Lecture Notes in Computer Science, 3621. Springer, Berlin, Heidelberg. (2005)

  29. Gao, F., Qin, S.J., Wen, Q.Y.: A simple participant attack on the Bradler-Dusek protocol. Quantum Inf. Comput. 7, 329–334 (2007)

    MathSciNet  MATH  Google Scholar 

  30. Rao, B.D., Jayaraman, R.: A novel quantum identity authentication protocol without entanglement and preserving pre-shared key information. Quantum Inf. Processing (2023). https://doi.org/10.1007/s11128-023-03832-6

    Article  MathSciNet  MATH  Google Scholar 

  31. Abulkasim, H., Hamad, S., El Bahnasy, K., Rida, S.Z.: Authenticated quantum secret sharing with quantum dialogue based on Bell states. Phys. Scr. 91(8), 085101 (2016)

    Article  ADS  Google Scholar 

  32. Shi, W.-M., Zhang, J.-B., Zhou, Y.-H., Yang, Y.-G.: A novel quantum deniable authentication protocol without entanglement. Quantum Inf. Process. 14(6), 2183–2193 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  33. Morchon, O. G., Rietman, R., Sharma, S., Tolhuizen, L., Torre-Arce, J. L.: Dtls-himmo: Achieving dtls certificate security with symmetric key overhead. In ESORICS (2015)

  34. Zheng, Xiaoyi, Chang, Kuang, Liang, Wen-Zhen.: Controlled Quantum Dialogue with Authentication Protocol on A Basis of GHZ-like State. Quantum Inf. Processing 19(8), 251 (2020). https://doi.org/10.1007/s11128-020-02745-y

    Article  ADS  MathSciNet  MATH  Google Scholar 

  35. Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85(26), 5635 (2000). https://doi.org/10.1103/PhysRevLett.85.5635

  36. Lizama-Perez, L.A.: Reverse reconciliation for optimal error correction in quantum key distribution. Symmetry 15(3), 710 (2023). https://doi.org/10.3390/sym15030710

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Acknowledgements

This work was supported by the National Natural Science Foundation of China: Research on Precision PCR Instrument Model and Its Application in Genetic Engineering (Grant No. 62172330).

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Authors and Affiliations

  1. Department of Computer Science and Technology, Xi’an University of Science and Technology, No. 58 Yanta Road, Xi’an, 710054, People’s Republic of China

    Yuguang Xu

  2. Software College, Shenyang Normal University, No.253, HuangHe Bei Street, HuangGu District, Shenyang, 110034, People’s Republic of China

    Lu Zhang & Hongfeng Zhu

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  1. Yuguang Xu
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  2. Lu Zhang
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Contributions

Yuguang Xu: Creativity and Verification, and prepared Fig. 1. Lu Zhang: Writing the main manuscript text Hongfeng Zhu: Design the protocol All authors reviewed the manuscript and discussed some main problems.

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Correspondence to Hongfeng Zhu.

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Xu, Y., Zhang, L. & Zhu, H. Quantum Mutual Implicit Authentication Key Agreement Protocol without Entanglement with Key Recycling. Int J Theor Phys 62, 244 (2023). https://doi.org/10.1007/s10773-023-05501-x

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