Information geometry and its applications

Pescara - 1-5 July 2002


Abstract

July 4 - 15.20-16.10
H. Nagaoka - Quantum Information Geometry and Statistical Inference on Quantum States

tatistical inference problems such as parameter estimation and hypothesis testing on quantum states bring strong motivations to differential geometrical study of a quantum state space just as in the classical information geometry. I would like to talk about how such geometrical concepts as Riemannian metric, duality of affine connections, autoparallel submanifold (geodesic in particular), etc. are related to several basic problems concerning statistical inference on quantum states. The talk is partly based on a joint work with Akio Fujiwara. [an error occurred while processing this directive]