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arxiv: 1311.6287 · v1 · pith:OKWMAYOBnew · submitted 2013-11-25 · 🪐 quant-ph · gr-qc

A histories perspective on characterising quantum non-locality

classification 🪐 quant-ph gr-qc
keywords quantumconditionjointmeasurenon-localityanaloguecharacterisingcontextuality
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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 $Q^1$ and is implied by the stronger NPA condition $Q^{1+AB}$. A related condition is shown to be equivalent to $Q^{1+AB}$.

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