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Tensor Products of Random Unitary Matrices · arXivDesk

1203.3818Mar 16, 201223 pages, 2 figures

Tensor Products of Random Unitary Matrices

Tomasz Tkocz, Marek Smaczynski, Marek Kus, Ofer Zeitouni, Karol Zyczkowski

Probability Quantum Physics

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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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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The paper addresses: Tensor Products of Random Unitary Matrices.
Tensor products of M random unitary matrices of size N from the circular unitary ensemble are investigated.

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Author comment: 23 pages, 2 figures

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