Nonlocality without entanglement occurs in polygon-based generalized probabilistic theories, and the pentagon model exhibits a strictly larger gap between local and global discrimination success than quantum theory does.
Convexity assures statistical mixture of different valid preparations as another valid preparation, i.e., for ω1, ω2∈ Ω any probabilistic mixture pω1 + (1− p)ω2∈ Ω, where p∈ [0, 1]
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Nonlocality Without Entanglement: Quantum Theory and Beyond
Nonlocality without entanglement occurs in polygon-based generalized probabilistic theories, and the pentagon model exhibits a strictly larger gap between local and global discrimination success than quantum theory does.