A histories perspective on characterising quantum non-locality

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 $Q^1$ and is implied by the stronger NPA condition $Q^{1+AB}$. A related condition is shown to be equivalent to $Q^{1+AB}$.

28 pages

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Cited by in corpus (13)

• Almost quantum correlations
• Higher-order interference in extensions of quantum theory
• Deriving Grover's lower bound from simple physical principles
• Bounding quantum contextuality with lack of third-order intereference
• Almost Quantum Correlations are Inconsistent with Specker's Principle
• Macroscopic non-contextuality as a principle for Almost Quantum Correlations
• Towards a realistic parsing of the Feynman path integral
• Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics
• A Survey of Physical Principles Attempting to Define Quantum Mechanics
• An Argument for Strong Positivity of the Decoherence Functional
• Contrary Inferences in Consistent Histories and a Set Selection Criterion
• Composing decoherence functionals
• Differential Geometry of Contextuality