Holography is a cornerstone characterization and imaging technique that can be applied to the full electromagnetic spectrum, from X-rays to radio waves or even particles such as neutrons. The key property in all these holographic approaches is coherence, which is required to extract the phase information through interference with a reference beam. Without this, holography is not possible. Here we introduce a holographic imaging approach that operates on first-order incoherent and unpolarized beams, so that no phase information can be extracted from a classical interference measurement. Instead, the holographic information is encoded in the second-order coherence of entangled states of light. Using spatial-polarization hyper-entangled photon pairs, we remotely reconstruct phase images of complex objects. Information is encoded into the polarization degree of the entangled state, allowing us to image through dynamic phase disorder and even in the presence of strong classical noise, with enhanced spatial resolution compared with classical coherent holographic systems. Beyond imaging, quantum holography quantifies hyper-entanglement distributed over 10⁴ modes via a spatially resolved Clauser–Horne–Shimony–Holt inequality measurement, with applications in quantum state characterization.

全息术是一种基石表征和成像技术，可应用于整个电磁波谱，从 X 射线到无线电波，甚至是中子等粒子。所有这些全息方法的关键特性是相干性，这是通过与参考光束的干涉来提取相位信息所必需的。没有这个，全息是不可能的。在这里，我们介绍了一种对一阶非相干和非偏振光束进行操作的全息成像方法，因此无法从经典干涉测量中提取相位信息。相反，全息信息被编码在光纠缠态的二阶相干性中。使用空间极化超纠缠光子对，我们远程重建复杂物体的相位图像。信息被编码为纠缠态的偏振度，使我们能够通过动态相位无序甚至在存在强经典噪声的情况下成像，与经典相干全息系统相比具有更高的空间分辨率。除了成像之外，量子全息还可以量化分布在 10通过空间分辨的 Clauser-Horne-Shimony-Holt 不等式测量的^{4 种}模式，在量子态表征中的应用。