Compatibility for Probabilistic Theories
Quantum Physics
2022-09-01 v1 Mathematical Physics
math.MP
Abstract
We define an index of compatibility for a probabilistic theory (PT). Quantum mechanics with index 0 and classical probability theory with index 1 are at the two extremes. In this way, quantum mechanics is at least as incompatible as any PT. We consider a PT called a concrete quantum logic that may have compatibility index strictly between 0 and 1, but we have not been able to show this yet. Finally, we show that observables in a PT can be represented by positive, vector-valued measures.
Cite
@article{arxiv.1303.3647,
title = {Compatibility for Probabilistic Theories},
author = {Stan Gudder},
journal= {arXiv preprint arXiv:1303.3647},
year = {2022}
}
Comments
13 pages