Seminar in Random Tensors

Date: June 18, 2020

Time: 2:00PM - 3:00PM

Location: zoom

Speaker: Guillaume Aubrun, Lyon 1

Title: Entangleability of cones

Abstract: Given two finite-dimensional cones, one can naturally define their minimal and maximal tensor products. We show that both coincide if and only if one of the cones is simplex-based, as was conjectured by Barker (1976). Our proof involves a mix of convex geometry, elementary algebraic topology, and computations inspired by quantum information theory (arXiv:1911.09663, joint with Ludovico Lami, Carlos Palazuelos and Martin Plavala).