Extension of information geometry to nonstatistical systems some examples  Ben Anthonis, Jan Naudts, Michel Broniatowski

Author(s): Ben Anthonis, Jan Naudts, Michel Broniatowski
DOI URL: http://dx.doi.org/10.1007/9783319250403_46
Video: http://www.youtube.com/watch?v=wnhAE9sVYZE
Slides: Naudts_Extension of information geometry.pdf
Presentation: https://www.see.asso.fr/node/14345
Creative Commons AttributionShareAlike 4.0 InternationalAbstract:
Our goal is to extend information geometry to situations where statistical modeling is not obvious. The setting is that of modeling experimental data. Quite often the data are not of a statistical nature. Sometimes also the model is not a statistical manifold. An example of the former is the description of the Bose gas in the grand canonical ensemble. An example of the latter is the modeling of quantum systems with density matrices. Conditional expectations in the quantum context are reviewed. The border problem is discussed: through conditioning the model point shifts to the border of the differentiable manifold.