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arxiv: 1203.3818 · v1 · pith:62Z4NQZPnew · submitted 2012-03-16 · 🧮 math.PR · quant-ph

Tensor Products of Random Unitary Matrices

classification 🧮 math.PR quant-ph
keywords matricesrandomtensorunitarybecomelargeproductsbecomes
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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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