The smooth quantum information manifold

by R. F. Streater.

ABSTRACT

Conditions are introduced in quantum information theory so that the partition function is differentiable in the canonical coordinates in the Frechet sense. If the free-energy is three-times differentiable, then the Bogoliubov metric and the torsion tensor exist.

This preprint is not now available. The published version contains an improvement, to show that if the perturbation of $H_0$ is Kato small, then the free energy is an analytic function of the coupling. This version goes under the name The Analytic Quantum Information Manifold.