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arXiv · 1203.3818

Tensor Products of Random Unitary Matrices

Tomasz Tkocz·Marek Smaczynski·Marek Kus·Ofer Zeitouni·Karol Zyczkowski
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Abstract

Tensor products of M random unitary matrices of size N from the circular unitary ensemble are investigated. We show that the spectral statistics of the tensor product of random matrices becomes Poissonian if M=2, N become large or M become large and N=2.

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Tomasz Tkocz, Marek Smaczynski, Marek Kus, Ofer Zeitouni, Karol Zyczkowski. 2012-03-16. Tensor Products of Random Unitary Matrices. https://arxiv.org/abs/1203.3818

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