Information geometry of quantum relative entropy and some extension

  • Hiroshi Nagaoka (The University of Electro-Communications, Tokyo, Japan)
University n.n. Universität Leipzig (Leipzig)


The classical relative entropy plays a key role in information geometry as a bridge between the differential-geometrical structure of the space of probability distributions and the large deviation problems in probability theory. Unfortunately, this happy situation breaks down in the quantum setting except for some very restricted aspects. We discuss the problem to be addressed mainly in view of statistical inference of quantum states and show some new directions.

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