Bell Nonlocality in Hybrid Networks
Li‐Yi Hsu · Advanced Physics Research · 2025
Abstract In a generic hybrid network, classical, quantum, and no‐signaling sources emit local hidden variables, stabilizer states, and no‐signaling systems, respectively. The maximal correlation strength is investigated as the non‐classical feature in this network. Given the associated fully‐quantum network of a hybrid network, the stabilizing operators of the distributed quantum state are exploited to construct segmented Bell operators and the Bell inequalities tailored to the state. The upper bounds of the maximal correlation strengths in the associated full‐classical, full‐quantum, and fully‐no‐signaling networks are derived as the benchmarks. The study shows that the achievable correlation strength depends on the number of type‐ measurements and that of nonlocal sources. The ‐nonlocality criteria are also introduced, indicating that the achievable maximal correlation strength cannot modeled by the network with at least observers with local hidden variables performing type‐ measurements.