A central limit theorem for partial transposes of multipartite Wishart matrices
Operator Algebras
2024-05-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2405.02822,
title = {A central limit theorem for partial transposes of multipartite Wishart matrices},
author = {Gyunam Park and Sang-Gyun Youn},
journal= {arXiv preprint arXiv:2405.02822},
year = {2024}
}