Extra QLunch: Michael Freedman

Speaker: Michael Freedman, University of California

Title: Entanglement of Sections

Abstract: I’ll discuss very recent arXiv positing with Matt Hastings where we begin to examine the “push-out” of bundle theory and entanglement. That is vector spaces are commonly considered in parameter families; this is bundle theory. They are also commonly considered with fixed tensor decompositions; this is quantum information theory.  Matt and I, through a series of examples, explore quite curious constraints on the entanglement of sections of tensor products of two or more bundles.  One motivation is bundles over the Brillion zone; another is to discuss obstructions to uniform behavior of a system as experimental parameters vary.