Correlations, Contextuality and Quantum Logic

Journal of Philosophical Logic 42 (3):483-499 (2013)

Authors
Allen Stairs
University of Maryland, College Park
Jeffrey Bub
University of Maryland, College Park
Abstract
Quantum theory is a probabilistic theory that embodies notoriously striking correlations, stronger than any that classical theories allow but not as strong as those of hypothetical ‘super-quantum’ theories. This raises the question ‘Why the quantum?’—whether there is a handful of principles that account for the character of quantum probability. We ask what quantum-logical notions correspond to this investigation. This project isn’t meant to compete with the many beautiful results that information-theoretic approaches have yielded but rather aims to complement that work
Keywords PR-Box  Polytope  Convex set  Logic  Quantum logic
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DOI 10.1007/s10992-013-9272-8
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References found in this work BETA

The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
Quantum Nonlocality as an Axiom.Sandu Popescu & Daniel Rohrlich - 1994 - Foundations of Physics 24 (3):379-385.
Quanten‐mechanik und wirklichkeit.A. Einstein - 1948 - Dialectica 2 (3‐4):320-324.
Quantum Mechanics, Logic and Reality.Allen Edison Stairs - 1978 - Dissertation, The University of Western Ontario (Canada)

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Citations of this work BETA

Quantum Logic and Quantum Reconstruction.Allen Stairs - 2015 - Foundations of Physics 45 (10):1351-1361.

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