Entangleability of cones

par Guillaume Aubrun

mardi 12 nov. 2019, 11:30 → 13:30 Europe/Paris

Salle de réunion du M7 (3ème étage Monod) (ENS Lyon)

Given two convex finite-dimensional cones, one can naturally define their minimal and their maximal tensor product. We show that both coincide exactly when one of the cones is isomorphic to the positive orthant, as was conjectured by Barker (1976). An interpretation is as follows: the phenomenon of entanglement is universal among probabilistic theories which are not classical (quantum mechanics being a particular case).