Seminar in Algebra, Lie Theory, and Geometry

Ana Kontrec

(Jacobs University)

"Geometry of Quantum Entanglement (Continued)"


Date: Fri, March 15, 2013
Time: 15:45
Place: East Hall 8

Abstract: In this talk we present a basic setting for a geometrical description of quantum entanglement, using methods and results from symplectic geometry. Entanglement properties remain invariant under the action of the “local” unitary group K, so the study of orbits of that action leads to a classification of degrees of entanglement. In the last section we discuss a criterion under which properties of the K-orbits in the space of states are determined by the corresponding coadjoint orbits, i.e., when the moment map maps the set of K-orbits bijectively on their image.