The most efficient automated way to construct a large class of quantum photonic experiments is via abstract representation of graphs with certain properties. While new directions were explored using Artificial intelligence and SAT solvers to find such graphs, it becomes computationally infeasible to do so as the size of the graph increases. So, we take an analytical approach and introduce the technique of local sparsification on experiment graphs, using which we answer a crucial open question in experimental quantum optics, namely whether certain complex entangled quantum states can be constructed. This provides us with more insights into quantum resource theory, the limitation of specific quantum photonic systems and initiates the use of graph-theoretic techniques for designing quantum physics experiments.

翻译：最有效的大规模量子光学实验自动化构建方法，是通过具有特定性质的图抽象表征来实现的。尽管利用人工智能和SAT求解器探索此类图的新方向已取得进展，但随着图规模增大，其计算可行性随之丧失。为此，我们采用解析方法，引入实验图的局部稀疏化技术，并利用该技术解答了实验量子光学中一个关键开放问题——特定复杂纠缠量子态是否可构造。这为量子资源理论提供了新洞见，揭示了特定量子光学系统的局限性，并开创了图论技术用于量子物理实验设计的先河。