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.
Explicit constructions are given for hexagonal and heptagonal models
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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.