Apparaît dans la collection : 2024 - PC2 - Random tensors and related topics

Entanglement properties of pure multipartite states are encoded in functions on tensor product Hilbert spaces that are invariant under local unitary maps. In the bipartite case there are simple complete sets of such functions, but multipartite states have exponentially many independent parameters. In this talk, I focus on a particular set of parameters defined by a strong set of axioms, which makes them relevant for the study of asymptotic entanglement transformations. I will give various characterizations of the known explicit examples and try to explain why there must exist other parameters of this kind.