Asymptotic free independence and entry permutations for Gaussian random matrices

Popa, Mihai

doi:10.1090/proc/15783

Asymptotic free independence and entry permutations for Gaussian random matrices
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Proc. Amer. Math. Soc. 150 (2022), 3379-3394 Request permission

Abstract:

The paper presents conditions on entry permutations that induce asymptotic freeness when acting on Gaussian random matrices. The class of permutations described includes the matrix transpose, as well as entry permutations relevant in Quantum Information Theory and Quantum Physics.

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