  We consider the symmetric exclusion process on the $d$-dimensional lattice
with translational invariant and ergodic initial data. It is then known that as
$t$ diverges the distribution of the process at time $t$ converges to a
Bernoulli product measure. Assuming a summable decay of correlations of the
initial data, we prove a quantitative version of this convergence by obtaining
an explicit bound on the Ornstein $\bar d$-distance. The proof is based on the
analysis of a two species exclusion process with annihilation.
