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    Frequency-matching quantum key distribution

    Hao-Tao Zhu1,2,3,4, Yizhi Huang5, Abdullah Rasmita1,2,3,4, Chao Ding1,2,3,4, Xiangbin Cai1,2,3,4, Haoran Zhang1,2,3,4, Xiongfeng Ma5,*, and Weibo Gao1,2,3,4,†

    • *Contact author: xma@tsinghua.edu.cn
    • †Contact author: wbgao@ntu.edu.sg

    Phys. Rev. Applied 25, 034043 – Published 12 March, 2026

    DOI: https://doi.org/10.1103/rj9h-xnn5

    Abstract

    Quantum key distribution (QKD) enables information-theoretically secure communication against eavesdropping. However, phase instability remains a challenge across many QKD applications, particularly in schemes such as twin-field QKD and measurement-device-independent QKD. The most dominant source of phase fluctuation arises from the frequency offset between independent lasers. To overcome this limitation, we introduce a classical photodiode-based active compensation scheme for laser frequency mismatches and incorporate it into a mode-pairing QKD protocol. We have achieved an error rate approaching the theoretical limit and surpassing the linear key-rate bound over a fiber distance of 296.8 km. This approach provides a practical solution for frequency matching between independent lasers and can be extended to other fields requiring precise phase stabilization.

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