English

The Einstein-Podolsky-Rosen state maximally violates Bell's inequalities

Quantum Physics 2007-05-23 v1 Mathematical Physics math.MP

Abstract

In their well-known argument against the completeness of quantum theory, Einstein, Podolsky, and Rosen (EPR) made use of a state that strictly correlates the positions and momenta of two particles. We prove the existence and uniqueness of the EPR state as a normalized, positive linear functional of the Weyl algebra for two degrees of freedom. We then show that the EPR state maximally violates Bell's inequalities.

Keywords

Cite

@article{arxiv.quant-ph/0009007,
  title  = {The Einstein-Podolsky-Rosen state maximally violates Bell's inequalities},
  author = {Hans Halvorson},
  journal= {arXiv preprint arXiv:quant-ph/0009007},
  year   = {2007}
}

Comments

11 pages, LaTeX