论文标题
量子实验和超图：量子干扰，量子计算和量子纠缠的多光子源
Quantum Experiments and Hypergraphs: Multi-Photon Sources for Quantum Interference, Quantum Computation and Quantum Entanglement
论文作者
论文摘要
我们介绍了超图的概念，以描述具有概率多光子源的量子光学实验。每个HyperEdge代表相关的光子源，每个顶点代表光学输出路径。这样的一般图形描述提供了用于产生复杂的高维多光子量子纠缠状态的新见解，这些状态超出了对通过自发参数下转换所产生的限制。此外，可以通过实验研究超图的特性。例如，通过实验检测量子实验中的多光子事件，可以回答NP完整的问题的NP完整问题。通过在超图中引入复杂的重量，我们以绘画方式显示了一般的多粒子量子干扰和操纵纠缠。我们的工作为开发多光子高维状态生成的发展铺平了道路，并可能会使用HyperGraph映射激发量子计算的新应用。
We introduce the concept of hypergraphs to describe quantum optical experiments with probabilistic multi-photon sources. Every hyperedge represents a correlated photon source, and every vertex stands for an optical output path. Such general graph description provides new insights for producing complex high-dimensional multi-photon quantum entangled states, which go beyond limitations imposed by pair creation via spontaneous parametric down-conversion. Furthermore, properties of hypergraphs can be investigated experimentally. For example, the NP-Complete problem of deciding whether a hypergraph has a perfect matchin can be answered by experimentally detecting multi-photon events in quantum experiments. By introducing complex weights in hypergraphs, we show a general many-particle quantum interference and manipulating entanglement in a pictorial way. Our work paves the path for the development of multi-photon high-dimensional state generation and might inspire new applications of quantum computations using hypergraph mappings.
