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    Deep-learning-enabled adaptive optics for strong turbulence correction: Toward daytime free-space quantum key distribution

    Hao-Bin Fu1,2,3, Zu-Yang Wan4, Yu-Huai Li1,2,3, Yang Li1,2,3, Li-Ying Han1,2,3, Zhen Rong1,2,3, Gao-Qiang Wang1,2,3, Sheng-Kai Liao1,2,3, Juan Yin1,2,3 et al.

    Ji-Gang Ren1,2,3, Bo Li1,2,3,*, Wei-Yue Liu3,4,†, and Yuan Cao1,2,3,‡

    • *Contact author: libo1989@ustc.edu.cn
    • †Contact author: liuweiyue@nbu.edu.cn
    • ‡Contact author: yuancao@ustc.edu.cn

    Phys. Rev. Applied 26, 014096 – Published 30 July, 2026

    DOI: https://doi.org/10.1103/6y3b-7sj5

    Abstract

    Satellite-based quantum key distribution (QKD) offers a promising approach toward the realization of global-scale quantum communication networks. However, current systems are restricted to nighttime operation, as intense daytime background noise drastically degrades the signal-to-noise ratio. While single-mode fiber coupling effectively suppresses background noise, maintaining high coupling efficiency and stability amidst strong atmospheric turbulence remains a significant challenge. In this study, we propose a deep-learning-based adaptive-optics method for turbulence correction, which is experimentally validated over 1.4- and 7-km free-space channels and compared with wave-front-sensor-based systems. The proposed method achieves substantial improvements in the Strehl ratio under strong turbulence conditions. Furthermore, we numerically evaluate the performance of a free-space quantum key distribution system incorporating our deep-learning-based method, which achieved higher key rates and longer propagation distances. By directly estimating phase information from a defocused image, this approach provides an efficient and cost-effective solution for strong turbulence correction, paving the way for practical daytime QKD.

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