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    Efficient measurement-device-independent quantum key distribution with heralded single-photon sources

    Jia-Xin Xu1,2,3, Luo-Jia Ma1,2,3, Jun-Jie Zhang1,2,3, Xing-Yu Zhou1,2,3, Jian Li1,2,3, Chun-Hui Zhang1,2,3,*, and Qin Wang1,2,3,†

    • *Contact author: chz@njupt.edu.cn
    • †Contact author: qinw@njupt.edu.cn

    Phys. Rev. Applied 25, 064024 – Published 5 June, 2026

    DOI: https://doi.org/10.1103/7bm7-6fp2

    Abstract

    Measurement-device-independent quantum key distribution (MDI-QKD) can be immune to all detector-side loopholes. Compared with weak-coherent-state sources, heralded single-photon sources (HSPSs) can effectively suppress vacuum components, and thus substantially improve the transmission distance and secure key rate of MDI-QKD. Here, we experimentally demonstrate an efficient MDI-QKD protocol based on HSPSs without vacuum sources [Phys. Rev. A 98, 032303 (2018)]. It achieves a secure key rate that is more than 60 times higher than the previous reported work at 10-dB transmission loss and extends the maximum transmission loss to more than 30 dB. These improvements are attributed to the efficient protocol used and the high-quality HSPSs prepared in the experiment, which enable a Hong-Ou-Mandel interference visibility of 95.1% at 10 mW. Furthermore, with improvements to experimental technology, the maximum transmission distance is expected to exceed 400 km. Therefore, the current work is expected to play a crucial role in the future development of large-scale quantum communication networks.

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