Luca Lionni: On local unitary invariance, multipartite entanglement, and random triangulations

mardi 17 oct. 2023, 10:30 → 11:30 Europe/Paris

Local unitary invariant polynomials of tensor variables play an 
important role in the study of multipartite entanglement.  They also 
characterize tensor distributions that possess this invariance, and are 
in bijection with certain triangulations in dimension three or more. 
After reviewing this, I will describe how due to these different facets, 
some recent results with Collins and Gurau concerning local spherical 
integrals that generalize the HCIZ integral have repercussions in 
entanglement detection, random tensors, and random geometry.