Seminars & Colloquia Calendar
Quantum Marginals, Moment Polytopes and Algorithms
Cole Franks - Rutgers University
Location: Hill 525
Date & time: Wednesday, 02 May 2018 at 12:00PM - 1:00PM
Abstract: With many group actions one can associate a map known as a moment map, the image of which over the entire group is a convex polytope. For example, given a quantum state held between d parties, the map from the state to what the parties see (known as the marginals) is such a map for the action of GL(n)^d. There are techniques for describing and testing membership in the moment polytope, but none so far have been capable of producing the preimage of the point in question. After the necessary background on moment polytopes, I'll discuss an extremely simple algorithm to produce an approximate preimage of a point in the moment polytope for the quantum marginal problem.