We present an experimental demonstration of a general entanglement-generation framework, where the form of the entangled state is independent of the physical process used to produce the particles. It is the indistinguishability of multiple generation processes and the geometry of the setup that give rise to the entanglement. Such a framework, termed entanglement by path identity, exhibits a high degree of customizability. We employ one class of such geometries to build a modular source of photon pairs that are high-dimensionally entangled in their orbital angular momentum. We demonstrate the creation of three-dimensionally entangled states and show how to incrementally increase the dimensionality of entanglement. The generated states retain their quality even in higher dimensions. In addition, the design of our source allows for its generalization to various degrees of freedom and even for the implementation in integrated compact devices. The concept of entanglement by path identity itself is a general scheme and allows for construction of sources producing also customized states of multiple photons. We therefore expect that future quantum technologies and fundamental tests of nature in higher dimensions will benefit from this approach.

我们提供了一般纠缠生成框架的实验演示，其中纠缠态的形式与用于生成粒子的物理过程无关。多重生成过程的不可区分性和设置的几何形状引起了纠缠。这种被路径标识缠结的框架表现出高度的可定制性。我们采用一类这样的几何形状来构建光子对的模块化源，这些光子对在其轨道角动量中高维纠缠。我们演示了三维纠缠态的创建，并演示了如何逐步增加纠缠的维数。生成的状态即使在更高的维度上也保持其质量。此外，我们的源代码的设计允许将其推广到各种自由度，甚至可以在集成的紧凑型设备中实现。通过路径标识进行纠缠的概念本身是一个通用方案，它允许构造也生成多个光子定制状态的源。因此，我们希望未来的量子技术和更高维度的自然基础测试将从该方法中受益。