Entropy distance: New quantum phenomena

Knauf A, Weis S (2012)

Publication Type: Journal article, Original article

Publication year: 2012


Publisher: American Institute of Physics (AIP)

Book Volume: 53

Pages Range: 102206, 25

Journal Issue: 10

DOI: 10.1063/1.4757652


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.

Authors with CRIS profile

Involved external institutions

How to cite


Knauf, A., & Weis, S. (2012). Entropy distance: New quantum phenomena. Journal of Mathematical Physics, 53(10), 102206, 25. https://doi.org/10.1063/1.4757652


Knauf, Andreas, and Stephan Weis. "Entropy distance: New quantum phenomena." Journal of Mathematical Physics 53.10 (2012): 102206, 25.

BibTeX: Download