Exact minimum measurement dependence for faithful local deterministic models of multipartite GHZ-Mermin correlations

The paper solves for the exact minimum measurement dependence required for local deterministic models to faithfully reproduce multipartite GHZ-Mermin correlations. It establishes specific thresholds, known as floors F(n), that any measurement-dependent account of quantum correlations must meet. These floors represent a quantitative obligation and serve as a security threshold against counterfeiting in device-independent certification.

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