Information Geometry and its Applications III

Abstract Frank Hansen

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Frank Hansen  (University of Copenhagen, Denmark)
Monday, August 02, 2010, room Hörsaal 1
Measures of quantum information

The Wigner-Yanase-Dyson information measures are prominent examples of the “metric adjusted skew information” constructed from monotone metrics. These measures of quantum information are related to special classes of operator monotone functions and their properties. Our growing knowledge of operator monotone functions has thus become a powerful tool in the study of measures of quantum information. For example, it has given a natural order relation rendering the set of quantum information measures into a lattice.

 

 

 

We give an overview of recent developments in this area with a special regard to the superadditivity conjecture of Wigner and Yanase which, although generally false, still holds true for important classes of states.

Date and Location

August 02 - 06, 2010
University of Leipzig
Augustusplatz
04103 Leipzig
Germany

Scientific Organizers

Nihat Ay
Max Planck Institute for Mathematics in the Sciences
Information Theory of Cognitive Systems Group
Germany
Contact by Email

Paolo Gibilisco
Università degli Studi di Roma "Tor Vergata"
Facoltà di Economia
Italy
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František Matúš
Academy of Sciences of the Czech Republic
Institute of Information Theory and Automation
Czech Republic
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Scientific Committee

Shun-ichi Amari
RIKEN
Brain Science Institute, Mathematical Neuroscience Laboratory
Japan
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Imre Csiszár
Hungarian Academy of Sciences
Alfréd Rényi Institute of Mathematics
Hungary
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Dénes Petz
Budapest University of Technology and Economics
Department for Mathematical Analysis
Hungary
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Giovanni Pistone
Collegio Carlo Alberto, Moncalieri
Italy
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Administrative Contact

Antje Vandenberg
Max Planck Institute for Mathematics in the Sciences
Contact by Email
Phone: (++49)-(0)341-9959-552
Fax: (++49)-(0)341-9959-555

05.04.2017, 12:42