A note on the tensor product of two random unitary matrices
نویسنده
چکیده
In this note we consider the point process of eigenvalues of the tensor product of two independent random unitary matrices of size m × m and n × n. When n becomes large, the process behaves like the superposition of m independent sine processes. When m and n go to infinity, we obtain the Poisson point process in the limit.
منابع مشابه
Tensor Products of Random Unitary Matrices
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. 2010 Mathematics Subject Classification. 15B52.
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