Classical and quantum info-manifolds

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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

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