English

EPR states and Bell correlated states in algebraic quantum field theory

Quantum Physics 2015-06-15 v2

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.

Keywords

Cite

@article{arxiv.1304.5261,
  title  = {EPR states and Bell correlated states in algebraic quantum field theory},
  author = {Yuichiro Kitajima},
  journal= {arXiv preprint arXiv:1304.5261},
  year   = {2015}
}

Comments

11 pages, to be published in Foundations of Physics