  We prove a quantitative propagation of chaos, uniformly in time, for the
spatially homogeneous Landau equation in the case of Maxwellian molecules. We
improve the results of Fontbona, Gu\'erin and M\'el\'eard \cite{FonGueMe} and
Fournier \cite{Fournier} where the propagation of chaos is proved for finite
time. Moreover, we prove a quantitative estimate on the rate of convergence to
equilibrium uniformly in the number of particles.
