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Bidirectional quantum identity authentication with zero-knowledge proof
Phys. Rev. Applied 26, 014032 – Published 10 July, 2026
DOI: https://doi.org/10.1103/ldm1-sqv2
Abstract
Identity authentication between communicating parties is a fundamental prerequisite for secure communication. Classical authentication systems face serious threats from the advent of quantum computing. In contrast, quantum identity authentication (QIA) can provide security based on the fundamental principle of quantum mechanics and has consequently attracted significant research interest. However, currently most QIA schemes either belong to one-way identity authentication or suffer from information leakage during the identity authentication process. Here, we for the first time propose a bidirectional QIA scheme with zero-knowledge proof. This scheme will not disclose any information other than the authenticity of the statement itself, and it possesses the merits of simple structure and easy execution. Theoretical analysis has been conducted on the completeness, robustness, and zero-knowledge nature of the proposed scheme. Furthermore, corresponding experimental demonstrations have been carried out by utilizing entanglement sources. This work has effectively improved the practical security and practicability of QIA, paving the way for the construction of a large-scale quantum internet in the future.
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References (37)
- Z. Cui, F. Xue, S. Zhang, X. Cai, Y. Cao, W. Zhang, and J. Chen, A hybrid BlockChain-based identity authentication scheme for multi-WSN, IEEE Trans. Serv. Comput. 13, 2 (2020).
- P. Gope and T. Hwang, A realistic lightweight anonymous authentication protocol for securing real-time application data access in wireless sensor networks, IEEE Trans. Ind. Electron. 63, 7124 (2016).
- F. Wu, X. Li, A. K. Sangaiah, L. Xu, S. Kumari, L. Wu, and J. Shen, A lightweight and robust two-factor authentication scheme for personalized healthcare systems using wireless medical sensor networks, Future Gener. Comput. Syst. 82, 727 (2018).
- K. Yang, Z. Zhang, T. Youliang, and J. Ma, A secure authentication framework to guarantee the traceability of Avatars in metaverse, IEEE Trans. Inf. Forensics Secur. 18, 3817 (2023).
- S. Goldwasser, S. Micali, and C. Rackoff, The knowledge complexity of interactive proof systems, in Proceedings of the Seventeenth Annual ACM Symposium on Theory of Computing, New York, USA (1985), pp. 291–304.
- G. Oded, M. Silvio, and W. Avi, Proofs that yield nothing but their validity or all languages in NP have zero-knowledge proof systems, J. ACM 3, 690 (1991).
- W. Major, W. J. Buchanan, and J. Ahmad, An authentication protocol based on chaos and zero knowledge proof, Nonlinear Dyn. 8, 227945 (2020).
- D. Gabay, K. Akkaya, and M. Cebe, Privacy-preserving authentication scheme for connected electric vehicles using blockchain and zero knowledge proofs, IEEE Trans. Veh. Technol. 69, 5760 (2020).
- C. L. Li et al., Device-independent quantum randomness–enhanced zero-knowledge proof, Proc. Natl. Acad. Sci. U.S.A. 120, 45 (2023).
- C. X. Weng, M. Y. Li, N. R. Xu, Y. L. Hu, I. George, J. W. Wu, S. J. Wu, H. L. Yin, and Z. B. Chen, Experimental relativistic zero-knowledge proofs with unconditional security, arXiv: 2501.18176v1.
- K. Shi, K. Chakraborty, W. Y. Kon, O. Amer, M. Pistoia, and C. Lim, On the relativistic zero knowledge quantum proofs of knowledge, arXiv: 2409.03635.
- R. L. Rivest, A. Shamir, and L. Adleman, A method for obtaining digital signatures and public-key cryptosystems, Commun. ACM 21, 120 (1978).
- A. J. Daley, I. Bloch, C. Kokail, S. Flannigan, N. Pearson, M. Troyer, and P. Zoller, Practical quantum advantage in quantum simulation, Nature (London) 607, 667 (2022).
- P. A. M. Dirac, The Principles of Quantum Mechanics (Clarendon, Oxford, 1930).
- C. Crépeau and L. Salvail, Quantum oblivious mutual identification, in Proceedings of the 14th Annual International Conference on Theory and Application of Cryptographic Techniques, Berlin, Heidelberg (1995). pp. 133–146.
- M. Hein, J. Eisert, and H. J. Briegel, Multiparty entanglement in graph states, Phys. Rev. A 69, 062311 (2004).
- H. Lee, J. Lim, and H. J. Yang, Quantum direct communication with authentication, Phys. Rev. A 73, 042305 (2006).
- X.-J. Wen, X.-Q. Zhao, L.-H. Gong, and N.-R. Zhou, A semi-quantum authentication protocol for message and identity, Laser Phys. Lett. 16, 075206 (2019).
- Z. Qu, X. Liu, and S. Wu, Quantum identity authentication protocol based on three-photon quantum error avoidance code in edge computing, Trans. Emerg. Telecommun. Technol. 33, 3945 (2022).
- H. S. Jacinto, A. M. Smith, and N. I. Rafla, Utilizing a fully optical and reconfigurable PUF as a quantum authentication mechanism, OSA Contin. 4, 739 (2021).
- M. I. García-Cid, D. Bodanapu, A. Gatto, P. Martelli, V. Martín, and L. Ortiz, Experimental implementation of a quantum zero-knowledge proof for user authentication, Opt. Express 32, 15955 (2024).
- C. H. Bennett and G. Brassard, Quantum cryptography: Public key distribution and coin tossing, in Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India (1984), pp. 175–179.
- C. H. Bennett, G. Brassard, and N. D. Mermin, Quantum cryptography without Bell’s theorem, Phys. Rev. Lett. 68, 557 (1992).
- H. Krawczyk and P. Eronen, HMAC-based extract-and-expand key derivation function (HKDF), RFC 5869, 2010.
- R. J. Serfling, Probability inequalities for the sum in sampling without replacement, Ann. Stat. 2, 39 (1974).
- H. K. Lo, H. F. Chau, and M. Ardehali, Efficient quantum key distribution scheme and a proof of its unconditional security, J. Cryptol. 18, 133 (2005).
- W. S. Wang and M. Hayashi, Verifier-initiated quantum message-authentication via quantum zero-knowledge proofs, arXiv: 2512.05420v1.
- C. Zhang, Y.-F. Huang, Z. Wang, B.-H. Liu, C.-F. Li, and G.-C. Guo, Experimental Greenberger-Horne-Zeilinger-type six-photon quantum nonlocality, Phys. Rev. Lett. 115, 260402 (2015).
- A. K. Ekert, Quantum cryptography based on Bell’s theorem, Phys. Rev. Lett. 67, 661 (1991).
- H.-K. Lo, M. Curty, and B. Qi, Measurement-device independent quantum key distribution, Phys. Rev. Lett. 108, 130503 (2012).
- M. Lucamarini, Z. L. Yuan, J. F. Dynes, and A. J. Shields, Overcoming the rate-distance limit of quantum key distribution without quantum repeaters, Nature (London) 557, 400 (2018).
- D. Gottesman and I. Chuang, Quantum digital signatures, arXiv:quant-ph/0105032.
- C.-H. Zhang, X. Zhou, C.-M. Zhang, J. Li, and Q. Wang, Twin-field quantum digital signatures, Opt. Lett. 46, 3757 (2021).
- H.-L. Yin, Y. Fu, C.-L. Li, C.-X. Weng, B.-H. Li, J. Gu, Y.-S. Lu, S. Huang, and Z.-B. Chen, Experimental quantum secure network with digital signatures and encryption, Natl. Sci. Rev. 10, 228 (2022).
- A. Shen, X.-Y. Cao, Y. Wang, Y. Fu, J. Gu, W.-B. Liu, C.-X. Weng, H.-L. Yin, and Z.-B. Chen, Experimental quantum secret sharing based on phase encoding of coherent states, Sci. China-Phys. Mech. Astron. 66, 260311 (2023).
- K. X. Yang, Y. L. Mao, H. Chen, X. D. Dong, J. K. Zhu, J. Z. Wu, and Z. D. Li, Experimental measurement-device-independent quantum conference key agreement, Phys. Rev. Lett. 133, 210803 (2024).
- E. Fitzke, L. Bialowons, T. Dolejsky, M. Tippmann, O. Nikiforov, T. Walther, F. Wissel, and M. Gunkel, Scalable network for simultaneous pairwise quantum key distribution via entanglement-based time-bin coding, PRX Quantum 3, 020341 (2022).