The distribution of density matrices at fixed purity for arbitrary dimensions

Paul M. Alsing, Christopher C. Tison, James Schneeloch +2

We present marginal cumulative distribution functions (CDF) for density matrices $\rho$ of fixed purity $\frac{1}{N}\le {\mu }_N(\rho )=\text{Tr}[{\rho }^2]\le 1$ for arbitrary dimension $N$. We g…