Foundations of non-commutative probability theory (Extended abstract)
Quantum Physics
2023-06-05 v1 Probability
Abstract
Kolmogorov's setting for probability theory is given an original generalization to account for probabilities arising from Quantum Mechanics. The sample space has a central role in this presentation and random variables, i.e., observables, are defined in a natural way.The mystery presented by the algebraic equations satisfied by (non-commuting) observables that cannot be observed in the same states is elucidated.
Cite
@article{arxiv.2306.01131,
title = {Foundations of non-commutative probability theory (Extended abstract)},
author = {Daniel Lehmann},
journal= {arXiv preprint arXiv:2306.01131},
year = {2023}
}
Comments
13 pages, Presented at TARK '09, Stanford, July 2009