EPR states and Bell correlated states in algebraic quantum field theory
Yuichiro Kitajima
TL;DR
This paper rigorously analyzes EPR states within algebraic quantum field theory, demonstrating their Bell correlation properties and density between space-like separated regions, extending Werner's definition.
Contribution
It establishes that EPR states for incommensurable pairs are Bell correlated and densely populate the space between separated regions, advancing the mathematical understanding of quantum correlations.
Findings
EPR states for incommensurable pairs are Bell correlated.
The set of EPR states is norm dense between space-like separated regions.
The paper extends Werner's definition of EPR states to algebraic quantum field theory.
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.
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