Classical and quantum info-manifolds
arXiv:math-ph/0002050
Abstract
We survey recent work on the Cramer-Rao inequality by Hasagawa and Petz; the notion of information manifold in infinite-dimensional Hilbert spaces is introduced, and the extension by Grasselli and the author to quadratic form perturbations is summarised.
Lectures given at the Conference on `Quantum information, measurement and computing', Kyoto 25-27 Jan 2000. Proceedings edited by M. Ohya and N. Watanabe