A histories perspective on characterising quantum non-locality

preprint2013arXivOpen access

Abstract

We introduce a framework for studying non-locality and contextuality inspired by the path integral formulation of quantum theory. We prove that the existence of a strongly positive joint quantum measure -- the quantum analogue of a joint probability measure -- on a set of experimental probabilities implies the Navascues-Pironio-Acin (NPA) condition Q1Q^1 and is implied by the stronger NPA condition Q1+ABQ^{1+AB}. A related condition is shown to be equivalent to Q1+ABQ^{1+AB}.

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