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    Robust Measurement of the Concurrence of Vector Light Beams

    Zhongyi Hu1,2, Jiahui Shen1,2, Yimeng Zhu1,2, Yonglei Liu1,2, Lin Liu1,2, Ari T. Friberg3, Tero Setälä3,4, Yangjian Cai4,*, Fei Wang1,2,† et al.

    Yahong Chen1,2,‡

    • *Contact author: yangjian_cai@163.com
    • †Contact author: fwang@suda.edu.cn
    • ‡Contact author: yahongchen@suda.edu.cn

    Phys. Rev. Lett. 135, 253801 – Published 16 December, 2025

    DOI: https://doi.org/10.1103/pdgd-95tx

    Abstract

    Coherent vector light beams with spatially structured polarization exhibit intrinsic nonseparability between the spatial amplitude and polarization-state degrees of freedom, quantified by optical concurrence—a measure formally analogous to quantum concurrence characterizing entanglement in bipartite quantum systems. Here, we introduce a method to measure the optical concurrence of monochromatic vector beams by encoding the nonseparability into the coherence properties of a partially coherent light field. This enables the concurrence to be retrieved from either a single-shot speckle pattern or a single-pixel temporal intensity measurement. Our technique is efficient and alignment-free, eliminating the need for polarization-resolving components and opening new possibilities in optical communication, sensing, and classical analogs of quantum information protocols.

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