标题： 量子实验和图论第三部分：高维和多粒子纠缠 显示英文标题

标题： Quantum Experiments and Graphs III: High-Dimensional and Multi-Particle Entanglement

摘要： 量子纠缠在量子信息过程中起着重要作用，例如量子计算和量子通信。实验室中的实验无疑对于增进我们对量子系统的理解以及激发未来应用的新见解至关重要。然而，对于创建许多粒子在高维中纠缠的任意量子态，没有通用的方法。在这里，我们利用量子实验与图论之间的最新联系，并回答了关于多种纠缠态类别的问题。我们发现了Greenberger-Horne-Zeilinger态、W态、一般Dicke态以及不对称高维多体纠缠态的实验设置。这一结果揭示了使用概率对源的光子技术生成任意量子态的可行性，并使我们能够理解纠缠的潜在技术和基本性质。 显示英文摘要

摘要： Quantum entanglement plays an important role in quantum information processes, such as quantum computation and quantum communication. Experiments in laboratories are unquestionably crucial to increase our understanding of quantum systems and inspire new insights into future applications. However, there are no general recipes for the creation of arbitrary quantum states with many particles entangled in high dimensions. Here, we exploit a recent connection between quantum experiments and graph theory and answer this question for a plethora of classes of entangled states. We find experimental setups for Greenberger-Horne-Zeilinger states, W states, general Dicke states, and asymmetrically high-dimensional multipartite entangled states. This result sheds light on the producibility of arbitrary quantum states using photonic technology with probabilistic pair sources and allows us to understand the underlying technological and fundamental properties of entanglement.