A note on the asymptotics of random density matrices

2017/10/11 by Miklos Kornyik, Kornyik, Miklos
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1710.04010

arxiv created 2018/04/04 · arxiv updated 2018/04/05

Abstract

We show in this note that the asymptotic spectral distribution, location and distribution of the largest eigenvalue of a large class of random density matrices coincide with that of Wishart-type random matrices using proper scaling. As an application, we show that the asymptotic entropy production rate is logarithmic. These results are generalizations of those of Nechita, and Sommers and \. Zyczkowski.

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