  The partial transposition from quantum information theory provides a new
source to distill the so-called asymptotic freeness without the assumption of
classical independence between random matrices. Indeed, a recent paper [MP19]
established asymptotic freeness between partial transposes in the bipartite
situation. In this paper, we prove almost sure asymptotic freeness in the
general multipartite situation and establish a central limit theorem for the
partial transposes.
