Exponential arcs in manifolds of quantum states

The manifold under consideration consists of the faithful normal states on a sigma-finite von Neumann algebra in standard form. Tangent planes and approximate tangent planes are discussed. A relative entropy/divergence function is assumed to be given. It is used to generalize the notion of an expone...

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Bibliographic Details
Main Author: Jan Naudts
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-02-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2023.1042257/full