English

Classical and quantum info-manifolds

Mathematical Physics 2007-05-23 v1 math.MP Probability

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.

Cite

@article{arxiv.math-ph/0002050,
  title  = {Classical and quantum info-manifolds},
  author = {R. F. Streater},
  journal= {arXiv preprint arXiv:math-ph/0002050},
  year   = {2007}
}

Comments

Lectures given at the Conference on `Quantum information, measurement and computing', Kyoto 25-27 Jan 2000. Proceedings edited by M. Ohya and N. Watanabe