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A histories perspective on characterizing quantum non-locality

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Title: A histories perspective on characterizing quantum non-locality
Authors: Dowker, F
Henson, J
Wallden, P
Item Type: Journal Article
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 ${{Q}^{1+AB}}$.
Issue Date: 26-Mar-2014
Date of Acceptance: 21-Feb-2014
URI: http://hdl.handle.net/10044/1/60886
DOI: 10.1088/1367-2630/16/3/033033
ISSN: 1367-2630
Publisher: Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
Journal / Book Title: New Journal of Physics
Volume: 16
Sponsor/Funder: Science and Technology Facilities Council (STFC)
Funder's Grant Number: ST/J000353/1
Keywords: Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
non-locality
contextuality
NPA hierarchy
quantum measure
decoherence functional
path integrals
histories approach
CONSISTENT HISTORIES
MECHANICS
GRAVITY
INEQUALITY
CAUSALITY
PRINCIPLE
THEOREM
TIME
ROAD
quant-ph
gr-qc
02 Physical Sciences
Fluids & Plasmas
Publication Status: Published
Article Number: 033033
Online Publication Date: 2014-03-26
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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