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

- Date: 01/31/2017
- Time: 15:30

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.

Location: ESB 2012