Measurement dependence in tripartite non-locality

The assumption of measurement independence is essential for the derivation of Bell’s inequalities under local, realistic conditions. Violations of these inequalities indicate that the assumption of measurement independence must be relaxed to some extent in order to obtain locally realistic models. The extent to which this assumption needs to be relaxed to achieve violations of certain bipartite Bell inequalities has been studied in Hall (Phys Rev Lett 105:250404, 2010) and Friedman (Phys Rev A 99:012121, 2019). In this paper, we investigate the minimal degree of relaxation required to simulate violations of various known tripartite Bell inequalities. We also provide local deterministic models that achieve these violations.