AI 中文总结
该研究针对可视化和验证空间多模光子场非局域相关性的挑战，构建了空间非局域性成像方案，结合超表面与量子自适应神经网络，实现空间分辨CHSH测试，产生非局域性图像，为大规模贝尔认证提供高效途径，推动量子技术发展。
AI 中文摘要
贝尔非局域性既是纠缠的决定性特征，也是关键的量子信息资源。然而，由于空间分辨投影测试的测量成本迅速增加，可视化和验证空间多模光子场中的非局域相关性仍然具有挑战性。为了解决这个问题，我们构建了一种空间非局域性成像方案，通过将执行平行偏振投影的超表面与量子自适应神经网络相结合，直接揭示量子非局域性的空间分布。使用平均每个像素每个基仅1.7个检测到的符合对，在400像素的双光子场上实现了空间分辨的Clauser-Horne-Shimony-Holt（CHSH）测试。这种方法产生了一个非局域性图像，该图像映射了整个光场中贝尔不等式违背的二维空间分布，并揭示了与目标状态相关的贝尔不等式违背的空间演化。它为大规模贝尔认证提供了一条资源高效的途径，并为在量子成像、量子网络和可扩展光子量子技术中利用空间多模纠缠开辟了新的可能性。
英文摘要
Bell nonlocality is both a defining signature of entanglement and a key quantum information resource. However, visualizing and certifying nonlocal correlations across a spatially multimode photonic field remains challenging due to the rapidly growing measurement cost of spatially resolved projective tests. To address this issue, we build a spatial nonlocality imaging scheme that directly reveals the spatial distribution of quantum nonlocality by integrating a metasurface that performs parallel polarization projections with a quantum-adaptive neural network. Spatially resolved Clauser--Horne--Shimony--Holt (CHSH) tests are realized over a 400-pixel biphoton field using an average of only 1.7 detected coincidence pairs per pixel per basis. This approach yields a nonlocality image that maps the two-dimensional spatial distribution of Bell violations across the optical field and reveals the target-state-dependent spatial evolution of Bell violations. It provides a highly resource-efficient route to large-scale Bell certification and opens new possibilities for exploiting spatially multimode entanglement in quantum imaging, quantum networking, and scalable photonic quantum technologies.
Comments18 pages, 5 figures, with 21 pages of Supplementary Materials. Comments are welcome; please contact the corresponding authors for inquiries
