A construction of a nonparametric quantum information manifold
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We present a construction of a Banach manifold on the set of faithful normal states of a von Neumann algebra, where the underlying Banach space is a quantum analogue of an Orlicz space. On the manifold, we introduce the exponential and mixture connections as dual pair of affine connections.
Cite
@article{arxiv.math-ph/0511065,
title = {A construction of a nonparametric quantum information manifold},
author = {Anna Jencova},
journal= {arXiv preprint arXiv:math-ph/0511065},
year = {2007}
}
Comments
17 pages