Entropy distance: New quantum phenomena

Knauf A, Weis S (2012)

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Journal of Mathematical Physics American Institute of Physics (AIP)

Publisher: American Institute of Physics (AIP)

Book Volume: 53

Pages Range: 102206, 25

Journal Issue: 10

DOI: 10.1063/1.4757652

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.

Authors with CRIS profile

Andreas Knauf Lehrstuhl für Mathematik (Mathematische Physik)

Involved external institutions

Universidade Estadual de Campinas (UNICAMP) / University of Campinas BR Brazil (BR)

How to cite

APA:

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

MLA:

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

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