  We consider mixed quasi-free states describing $N$ fermions in the mean-field
limit. In this regime, the time evolution is governed by the nonlinear Hartree
equation. In the large $N$ limit, we study the convergence towards the
classical Vlasov equation. Under integrability and regularity assumptions on
the initial state, we prove strong convergence in trace and Hilbert-Schmidt
norm and provide explicit bounds on the convergence rate for a class of
singular potentials of the form $V(x)=|x|^{-\alpha}$, for $\alpha\in(0,1/2)$.
