Measures of quantum information

  • Frank Hansen (University of Copenhagen, Copenhagen, Denmark)
University n.n. Universität Leipzig (Leipzig)


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.


02.08.10 06.08.10

Information Geometry and its Applications III

Universität Leipzig (Leipzig) University n.n. University n.n.

Antje Vandenberg

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Nihat Ay

Max Planck Institute for Mathematics in the Sciences, Germany

Paolo Gibilisco

Università degli Studi di Roma "Tor Vergata", Italy

František Matúš

Academy of Sciences of the Czech Republic, Czech Republic