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The generation of (Bell-)nonlocal correlations, i.e., correlations leading tothe violation of a Bell-like inequality, requires the usage of a nonlocalresource, such as an entangled state. When given a correlation (a collection ofconditional probability distributions) from an experiment or from a theory, itis desirable to determine the extent to which the participating parties wouldneed to collaborate nonlocally for its (re)production. Here, we propose toachieve this via the minimal group size (MGS) of the resource, i.e., thesmallest number of parties that need to share a given type of nonlocal resourcefor the above-mentioned purpose. In addition, we provide a general recipe ---based on the lifting of Bell-like inequalities --- to construct MGS witnessesfor non-signaling resources starting from any given ones. En route toillustrating the applicability of this recipe, we also show that whenrestricted to the space of full-correlation functions, non-signaling resourcesare as powerful as unconstrained signaling resources. Explicit examples ofcorrelations where their MGS can be determined using this recipe and othernumerical techniques are provided.

Quantifying multipartite nonlocality via the size of the resource