Entropy distance: New quantum phenomena

Language
en
Document Type
Article
Issue Date
2012-11-08
Issue Year
2012
Authors
Weis, Stephan
Knauf, Andreas
Editor
Abstract

We study a curve of Gibbsian families of complex 3 × 3-matrices and point out new features, absent in commutative finite-dimensional algebras: a discontinuous maximum-entropy inference, a discontinuous entropy distance, and non-exposed faces of the mean value set. We analyze these problems from various aspects including convex geometry, topology, and information geometry. This research is motivated by a theory of infomax principles, where we contribute by computing first order optimality conditions of the entropy distance.

Journal Title
Journal of Mathematical Physics 53.10 (2012): 07.11.2012 <http://jmp.aip.org/resource/1/jmapaq/v53/i10/p102206_s1>
Citation
Journal of Mathematical Physics 53.10 (2012): 07.11.2012 <http://jmp.aip.org/resource/1/jmapaq/v53/i10/p102206_s1>
DOI
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