2007/02/28 by Ion Nechita · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Random Matrices and Applications #Stochastic processes and statistical mechanics #quant-ph
paper · pdf · doi:10.1007/s00023-007-0345-5
published as Pacific Journal of Mathematics 8, 8 (2007) 1521-1538
arxiv created 2007/06/19 · openalex publication_date 2007/11/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
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).