A construction of a nonparametric quantum information manifold

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.

arXiv comment17 pages

References in corpus (2)

• The quantum information manifold for epsilon-bounded forms
• The analytic quantum information manifold

Cited by in corpus (2)

• Local quantum information dynamics
• A Quantum Information Geometric Approach to Renormalization