Asymptotics of random density matrices

Details Asymptotics of random density matrices Asymptotics of random density matrices

2007-02-15

arxiv.org/abs/quant-ph/0702154v3

Pacific Journal of Mathematics 8, 8 (2007) 1521-1538

Physics

Quantum Physics

Scientific paper

10.1007/s00023-007-0345-5

We investigate random density matrices obtained by partial tracing larger random pure states. We show that there is a strong connection between these random density matrices and the Wishart ensemble of random matrix theory. We provide asymptotic results on the behavior of the eigenvalues of random density matrices, including convergence of the empirical spectral measure. We also study the largest eigenvalue (almost sure convergence and fluctuations).

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