  Haagerup and Thorbj{\o}rnsen proved that iid GUEs converge strongly to free
semicircular elements as the dimension grows to infinity. Motivated by
considerations from quantum physics -- in particular, understanding nearest
neighbor interactions in quantum spin systems -- we consider iid GUE acting on
multipartite state spaces, with a mixing component on some sites and identity
on the remaining sites. We show that under proper assumptions on the dimension
of the sites, strong asymptotic freeness still holds. Our proof relies on an
interpolation technology recently introduced by Bandeira, Boedihardjo and van
Handel.
