AI 中文总结
本文针对有限速度隐藏影响问题，将相关约束转化为簇态关联的投影多面体分离问题，构造了四、五量子比特的见证，验证其面特性，证明线性簇图态是实验友好的测试资源。
AI 中文摘要
贝尔实验排除了量子关联的局域共同原因解释，但未排除以有限速度在优选参考系中传播的超光速隐藏影响。多体时空排列将此可能性转化为约束：当较早事件固定时，彼此隐藏影响锥外的两个较晚方必须保持贝尔定域性。本文将该约束表述为簇态关联的投影多面体分离问题，仅使用包含至多一个较晚方的边际数据。从线性簇态出发，构造了四量子比特见证（界值$S_4\le 6$，量子值$4+2\sqrt2$）和五量子比特见证（界值$S_5\le 10$，量子值$6+4\sqrt2$），并验证其暴露面为对应投影隐藏影响多面体的面。这些结果表明线性簇图态是可验证且实验友好的有限速度隐藏影响测试资源。
英文摘要
Bell experiments rule out local common-cause explanations of quantum correlations, yet they do not exclude hidden influences that travel faster than light while still having a finite speed in a preferred frame. Multipartite spacetime arrangements turn this possibility into a constraint: two late parties that are outside each other's hidden-influence cones must remain Bell-local once the earlier events are fixed. Here, we formulate this constraint as a projected-polytope separation problem for cluster-state correlations, using only marginal data containing at most one late party. From linear cluster states, we construct a four-qubit witness with the bound $S_4\le 6$ and quantum value $4+2\sqrt2$, and a five-qubit witness with $S_5\le 10$ and quantum value $6+4\sqrt2$. We certify that the exposed faces are facets of the corresponding projected hidden-influence polytopes. These results identify linear-cluster graph states as certifiable and experimentally friendly resources for finite-speed hidden-influence tests.
