A Collection of Probabilistic Hidden-Variable Theorems and Counterexamples
Abstract
The purpose of this article is to formulate a number of probabilistic hidden-variable theorems, to provide proofs in some cases, and counterexamples to some conjectured relationships. The first theorem is the fundamental one. It asserts the general equivalence of the existence of a hidden variable and the existence of a joint probability distribution of the observed quatities, whether finite or continuous.
Cite
@article{arxiv.quant-ph/9610010,
title = {A Collection of Probabilistic Hidden-Variable Theorems and Counterexamples},
author = {Patrick Suppes and J. Acacio de Barros and Gary Oas},
journal= {arXiv preprint arXiv:quant-ph/9610010},
year = {2008}
}
Comments
20 pages latex. To appear in Nuovo Cimento. Presented Sept. 17, 1996 in Florence at a symposium in honor of Giuliano Toraldo di Francia. Significant additions and corrections have been made. Additional conditions on the existence of joint probability distributions as well as theorems on mapping from higher spin systems to two state variables