Reprogrammable integrated optics provides a natural platform for tunable quantum photonic circuits, but faces challenges when high dimensions and high connectivity are involved. Here, we implement high-dimensional linear transformations on spatial modes of photons using wavefront shaping together with mode mixing in a multimode fiber, and measure photon correlations using a time-tagging single-photon avalanche diode (SPAD) array. Our demonstration of a generalization of a Hong-Ou-Mandel interference to 22 output ports shows the scalability potential of wavefront shaping in complex media in conjunction with SPAD arrays for implementing high-dimensional reconfigurable quantum circuits. Specifically, we achieved (80.5±6.8)%$(80.5 \pm 6.8)\%$ similarity for indistinguishable photon pairs and (84.9±7.0)%$(84.9 \pm 7.0)\%$ similarity for distinguishable photon pairs using 22 detectors and random circuits.

中文翻译：

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具有 SPAD 阵列和多模光纤的大型可重构量子电路

可重编程集成光学器件为可调谐量子光子电路提供了一个天然的平台，但在涉及高尺寸和高连接性时面临着挑战。在这里，我们使用波前整形和多模光纤中的模式混合来实现光子空间模式的高维线性变换，并使用时间标记单光子雪崩二极管（SPAD）阵列测量光子相关性。我们对 Hong-Ou-Mandel 干涉的推广到 22 个输出端口的演示表明了复杂介质中波前整形与 SPAD 阵列结合用于实现高维可重构量子电路的可扩展性潜力。具体来说，我们实现了( 80.5 ± 6.8 ) %$(80.5 \pm 6.8)\%$无法区分的光子对的相似度和( 84.9 ± 7.0 ) %$(84.9 \pm 7.0)\%$使用 22 个探测器和随机电路来计算可区分光子对的相似性。