Asymptotics of Random Density Matrices |
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Authors: | Ion Nechita |
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Institution: | (1) UMR 5208, Institut Camille Jordan, Université Lyon 1 CNRS, Batiment du Doyen Jean Braconnier 43, bd du 11 novembre 1918, F-69622 Villeurbanne Cedex, France |
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Abstract: | 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).
Submitted: February 9, 2007. Accepted: March 3, 2007. |
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Keywords: | |
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