Conditioning of Quantum Open Systems
Quantum Physics
2019-07-30 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
The underlying probabilistic theory for quantum mechanics is non-Kolmogorovian. The order in which physical observables will be important if they are incompatible (non-commuting). In particular, the notion of conditioning needs to be handled with care and may not even exist in some cases. Here we layout the quantum probabilistic formulation in terms of von Neumann algebras, and outline conditions (non-demolition properties) under which filtering may occur.
Cite
@article{arxiv.1907.11948,
title = {Conditioning of Quantum Open Systems},
author = {John E. Gough},
journal= {arXiv preprint arXiv:1907.11948},
year = {2019}
}
Comments
10 pages, no figures. Article submitted to second edition of "Encyclopedia of Systems and Control"