Classical versions of q-Gaussian processes: conditional moments and Bell's inequality
Quantum Algebra
2024-04-16 v3 Operator Algebras
Probability
Abstract
We show that classical processes corresponding to operators what satisfy a q-commutative relation have linear regressions and quadratic conditional variances. From this we deduce that Bell's inequality for their covariances can be extended from q=-1 to the entire range -1<q<1.
Keywords
Cite
@article{arxiv.math/0009023,
title = {Classical versions of q-Gaussian processes: conditional moments and Bell's inequality},
author = {Wlodzimierz Bryc},
journal= {arXiv preprint arXiv:math/0009023},
year = {2024}
}
Comments
LaTeX, 12 pages. Corrected typos, marked at the beginning of the file