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Tensor Products of Random Unitary Matrices

Probability 2013-02-19 v1 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.

Keywords

Cite

@article{arxiv.1203.3818,
  title  = {Tensor Products of Random Unitary Matrices},
  author = {Tomasz Tkocz and Marek Smaczynski and Marek Kus and Ofer Zeitouni and Karol Zyczkowski},
  journal= {arXiv preprint arXiv:1203.3818},
  year   = {2013}
}

Comments

23 pages, 2 figures

R2 v1 2026-06-21T20:35:27.901Z