Universidad de Sevilla, Spain, adan@us.es
We introduce a map that captures all the connections between Bell nonlocality and contextuality in quantum theory. Due to Neumark’s dilation theorem, every matrix of quantum nonlocal correlations can be mapped to an identical matrix of contextual correlations. A more difficult problem is identifying connections from contextuality into nonlocality. We show that there are “one-to-one” and partial connections for some contextuality scenarios, but not for all of them. However, we also present a method that transforms any matrix of contextual correlations into a matrix of Bell nonlocal correlations.