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.
For a fixed n, Ω(n) is the convex hull of n pure states{ωi}n−1 i=0 with ωi := (rn cos(2πi/n), rn sin(2πi/n), 1)T∈ R3; where T denotes transpose and rn := √ sec(π/n)
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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.