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arXiv · 2405.02822

A central limit theorem for partial transposes of multipartite Wishart matrices

Gyunam Park·Sang-Gyun Youn
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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.

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Gyunam Park, Sang-Gyun Youn. 2024-05-05. A central limit theorem for partial transposes of multipartite Wishart matrices. https://arxiv.org/abs/2405.02822

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