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    Postselected amplification and photon recycling applied to optical sensing of magnetic fields

    Yazhi Niu1, Jialin Li2,3, Lupei Qin1,*, and Xin-Qi Li2,3,†

    • *Contact author: qinlupei@tju.edu.cn
    • †Contact author: xinqi.li@imu.edu.cn

    Phys. Rev. A 114, 042449 – Published 23 October, 2026

    DOI: https://doi.org/10.1103/brjc-s4gt

    Abstract

    We apply the combined technique of postselected amplification and photon recycling to an optical setup of magnetic-field precision measurement. We propose two recycling schemes and obtain analytic expressions for the amplified signal and measurement sensitivity. The results show significant improvement of the performance over conventional measurement. The underlying reason is twofold. On one hand, the recycling technique eliminates data loss and maintains noise level comparable to conventional measurement. On the other hand, intentional postselection within this framework can amplify the signal. Thus, the measurement signal-to-noise ratio is enhanced.

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