发表机构
The University of Hong Kong（香港大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明在二分Bell实验中，满足公共重叠无不确定性即无扰动条件的无信号行为凸包恰为有限维量子集合，并给出量子实现构造，将线性Bell表达式优化简化为二阶锥规划，建立不确定性-扰动约束与量子非局域性的联系。
AI 中文摘要
通过信息论约束来刻画量子非局域关联的集合是量子基础中的一个核心问题。我们证明，在二分Bell实验中，满足公共重叠无不确定性即无扰动条件的无信号行为的凸包，恰好是有限维量子集合，只要一方具有两个二元测量，另一方具有任意有限数量的设置，每个设置具有任意有限数量的结果。在最简单的二元输入输出Bell场景中，这刻画了完整的八维量子行为集合，包括局部边际。该证明直接从条件概率和无信号性构造量子实现。该刻画还将这些场景中任何线性Bell表达式的优化简化为在一参数族二阶锥程序上的最大化。结果建立了局部不确定性-扰动约束与量子非局域性之间的联系，通过无信号性和共享经典随机性作为中介。
英文摘要
Characterizing the set of quantum nonlocal correlations through information-theoretic constraints is a central problem in quantum foundations. We show that the convex hull of no-signalling behaviors in a bipartite Bell experiment satisfying a common-overlap no-disturbance-without-uncertainty condition is exactly the finite-dimensional quantum set whenever one party has two binary measurements and the other has an arbitrary finite number of settings, each with an arbitrary finite number of outcomes. In the simplest binary input-output Bell scenario, this characterizes the full eight-dimensional set of quantum behaviors, including the local marginals. The proof constructs a quantum realization directly from the conditional probabilities and no-signalling. The characterization also reduces optimization of any linear Bell expression in these scenarios to maximization over a one-parameter family of second-order cone programs. The results establish a connection between local uncertainty-disturbance constraints and quantum nonlocality, mediated by no-signalling and shared classical randomness.
Comments6+11 pages
