Fig. 2: Region of allowed correlations for symmetric distributions; projection in the plane E2 vs E1. | Nature Communications

Fig. 2: Region of allowed correlations for symmetric distributions; projection in the plane E2 vs E1.

From: Constraints on nonlocality in networks from no-signaling and independence

Fig. 2

The turquoise region is ruled out by NSI constraints, while the gray region is excluded from simple positivity constraints. The white region is accessible via trilocal models. Correlations in the yellow region satisfy NSI constraints (from the hexagon inflation), but we could not find a trilocal model for them. The constraint Eq. (34) of ref. 22 is shown in dotted black. The dashed turquoise curve corresponds to the NSI inequality Eq. (15), which turns out to be tight. Explicit trilocal models are also obtained for the correlations marked by blue dots (Supplementary Note 2).

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