Bures geometry and related concepts

  • Armin Uhlmann (Universität Leipzig, Leipzig, Germany)
University n.n. Universität Leipzig (Leipzig)


The closely related concepts Bures metric, Bures distance, and fidelity (transition probability) can be defined equally well as a ``functor'' within the hierarchy of quantum systems or intrinsically within any quantum system. Some of these possibilities will be discussed in connection with inequalities, the use of ``amplitudes'', and symmetries. We further point to a parallel transport and its natural gauge theory which is related to the Bures geometry.

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