Quantum statistical manifolds: the linear growth case
Functional Analysis
2019-01-23 v2 Mathematical Physics
math.MP
Abstract
A class of vector states on a von Neumann algebra is constructed. These states belong to a deformed exponential family. One specific deformation is considered. It makes the exponential function asymptotically linear. Difficulties arising due to non-commutativity are highlighted.
Cite
@article{arxiv.1801.07642,
title = {Quantum statistical manifolds: the linear growth case},
author = {Jan Naudts},
journal= {arXiv preprint arXiv:1801.07642},
year = {2019}
}
Comments
24 pages, 12pt, A4; improved version, now making use of the commutant algebra