  We show that on a suitable time scale, logarithmic in $\hbar$, the coherent
states on the two-torus, evolved under a quantized perturbed hyperbolic toral
automorphism, equidistribute on the torus. We then use this result to obtain
control on the possible strong scarring of eigenstates of the perturbed
automorphisms by periodic orbits. Our main tool is an adapted Egorov theorem,
valid for logarithmically long times.
