Annales Henri Poincaré

, Volume 8, Issue 8, pp 1521–1538 | Cite as

Asymptotics of Random Density Matrices

  • Ion NechitaEmail author


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).


Density Matrix Pure State Random Matrice Random Matrix Theory Partial Trace 
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Copyright information

© Birkhaueser 2007

Authors and Affiliations

  1. 1.UMR 5208, Institut Camille JordanUniversité Lyon 1 CNRSVilleurbanne CedexFrance

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