标题： 用排他图方法刻画混合因果结构 显示英文标题

标题： Characterizing Hybrid Causal Structures with the Exclusivity Graph Approach

摘要： 分析由一般因果结构约束的相关性集合的几何性质，在基础研究和量子技术研究中具有至关重要的意义。解决这一任务通常具有挑战性，促使针对不同场景开发出各种理论技术。近期，结合因果结构不同部分的不同因果假设的新颖混合场景开始出现。 在这项工作中，我们将一种图论技术扩展到混合场景中探索经典、量子和无信号分布，其中因果结构的不同节点采用经典的因果约束和较弱的无信号约束。通过将这些因果关系映射到一个无向图中，我们能够表征兼容分布的集合并分析它们之间的关系。特别是，我们展示了如何利用我们的方法构建能够同时区分经典、量子和无信号行为的最小贝尔型不等式，并有效地估计相应的界限。所展示的方法将代表研究量子网络以及在量子信息任务中的应用的强大工具。 显示英文摘要

摘要： Analyzing the geometry of correlation sets constrained by general causal structures is of paramount importance for foundational and quantum technology research. Addressing this task is generally challenging, prompting the development of diverse theoretical techniques for distinct scenarios. Recently, novel hybrid scenarios combining different causal assumptions within different parts of the causal structure have emerged. In this work, we extend a graph theoretical technique to explore classical, quantum, and no-signaling distributions in hybrid scenarios, where classical causal constraints and weaker no-signaling ones are used for different nodes of the causal structure. By mapping such causal relationships into an undirected graph we are able to characterize the associated sets of compatible distributions and analyze their relationships. In particular we show how with our method we can construct minimal Bell-like inequalities capable of simultaneously distinguishing classical, quantum, and no-signaling behaviors, and efficiently estimate the corresponding bounds. The demonstrated method will represent a powerful tool to study quantum networks and for applications in quantum information tasks.