2024/05/05 by Gyunam Park, Park, Gyunam, Sang-Gyun Youn +1
Mathematics · #Random Matrices and Applications #Point processes and geometric inequalities #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2405.02822
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.