We consider the properties of a specific distribution mixed quantum states arbitrary dimension that can be biased towards mean purity. In particular, we analyze mixtures Haar-random pure with Dirichlet-distributed coefficients. analytically derive concentration parameters required to match purity Bures and Hilbert--Schmidt distributions in any dimension. Numerical simulations suggest this value...

We compute the volume of the convex (N2−1)-dimensional set MN of density matrices of size N with respect to the Hilbert–Schmidt measure. The hyperarea of the boundary of this set is also found and its ratio to the volume provides information about the structure of MN . Similar investigations are also performed for the smaller set of all real density matrices. As an intermediate step, we analyse...