Code and data for publication: "Two-Photon Bandwidth of Hyper-Entangled Photons in Complex Media"

Code and data for publication: "Two-Photon Bandwidth of Hyper-Entangled Photons in Complex Media" Abstract: When light propagates through complex media, its output spatial distribution is highly sensitive to its wavelength. This fundamentally limits the bandwidth of applications ranging from imaging to communication. Here, we demonstrate analytically and numerically that the spatial correlations of hyper-entangled photon pairs, simultaneously entangled spatially and spectrally, remain stable across a broad bandwidth: The chromatic modal dispersion experienced by one photon is canceled to first order by its spectrally anti-correlated twin, defining a “two-photon bandwidth” that can far exceed its classical counterpart. We illustrate this modal dispersion cancellation in multimode fibers, thin diffusers and blazed gratings, and demonstrate its utility for broadband wavefront shaping of quantum states. These findings advance our fundamental understanding of quantum light in complex media with applications in quantum imaging, communication, and sensing. The repository is also available on Github (only code, no data): https://github.com/rubiaek/qdc用于发表论文《复杂介质中超纠缠光子的双光子带宽》的代码与数据集 摘要： 当光在复杂介质中传播时，其出射空间分布对波长具有极强的敏感性，这从根本上限制了从成像到通信等各类应用的带宽上限。本研究通过解析与数值模拟证明：同时在空间与光谱维度实现纠缠的超纠缠（hyper-entangled）光子对，其空间关联在宽频范围内仍可保持稳定——单光子所经历的色度模色散（chromatic modal dispersion），可被其光谱反关联的孪生光子以一阶精度抵消，由此定义的“双光子带宽”可远超经典场景下的带宽上限。我们分别在多模光纤、薄扩散片以及闪耀光栅中验证了该模色散抵消效应，并展示了其在量子态宽带波前调控中的应用价值。本研究深化了我们对复杂介质中量子光的基础认知，相关成果可应用于量子成像、量子通信与量子传感领域。 该代码仓库亦可在Github获取（仅包含代码，不包含数据集）：https://github.com/rubiaek/qdc