Probabilistic Inequalities and Upper Probabilities in Quantum Mechanical Entanglement
Quantum Physics
2010-10-18 v1
Abstract
In this paper we analyze the existence of joint probabilities for the Bell-type and GHZ entangled states. We then propose the usage of nonmonotonic upper probabilities as a tool to derive consistent joint upper probabilities for the contextual hidden variables. Finally, we show that for the extreme example of no error, the GHZ state allows for the definition of a joint upper probability that is consistent with the strong correlations.
Cite
@article{arxiv.1010.3064,
title = {Probabilistic Inequalities and Upper Probabilities in Quantum Mechanical Entanglement},
author = {Jose Acacio de Barros and Patrick Suppes},
journal= {arXiv preprint arXiv:1010.3064},
year = {2010}
}