EPR States and Bell Correlated States in Algebraic Quantum Field Theory

Foundations of Physics 43 (10):1182-1192 (2013)
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Abstract

A mathematical rigorous definition of EPR states has been introduced by Arens and Varadarajan for finite dimensional systems, and extended by Werner to general systems. In the present paper we follow a definition of EPR states due to Werner. Then we show that an EPR state for incommensurable pairs is Bell correlated, and that the set of EPR states for incommensurable pairs is norm dense between two strictly space-like separated regions in algebraic quantum field theory

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Citations of this work

Contextuality in Algebraic Quantum Theory代数的量子論における文脈依存性.Yuichiro Kitajima - 2018 - Journal of the Japan Association for Philosophy of Science 45 (1-2):23-34.

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References found in this work

Maximal beable subalgebras of quantum-mechanical observables.Hans Halvorson & Rob Clifton - 1999 - International Journal of Theoretical Physics 38:2441-2484.
Bell inequality and common causal explanation in algebraic quantum field theory.Gábor Hofer-Szabó & Péter Vecsernyés - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):404-416.
Bell’s Correlations and Spin Systems.Martin Bohata & Jan Hamhalter - 2010 - Foundations of Physics 40 (8):1065-1075.

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