2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56509We 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. WatanabeMathematical PhysicsProbability46Ltext