Diff. Geom, Math. Phys., PDE Seminar: Martin Fraas

  • Date: 01/31/2017
  • Time: 15:30
Martin Fraas, Institute for Theoretical Physics, KU Leuven

University of British Columbia


On Products of Correlated Matrices Originating in the Statistical Structure of Quantum Mechanics


Statistics of measurement outcomes in quantum mechanics is described by a map that associates a matrix to each possible measurement outcome. The probability of this outcome is then given by a trace of this matrix. Probability of a sequence of measurement outcomes is computed in the same way from a product of associated matrices. In this talk I will describe two results related to this setting. A theorem giving optimal conditions for uniqueness of the associated invariant measure on the projective sphere, and a theorem describing large deviation theory in the case when the matrices commute. The latter problem received lots of recent attention following experiments of S.~Haroche.

Other Information: 

Location: ESB 2012