  A quantitative central limit theorem for the simple symmetric exclusion
process (SSEP) on a $d$-dimensional discrete torus is proven. The argument is
based on a comparison of the generators of the density fluctuation field of the
SSEP and the generalized Ornstein-Uhlenbeck process, as well as on an
infinite-dimensional Berry-Essen bound for the initial particle fluctuations.
The obtained rate of convergence is optimal.
