  In this paper, we propose and analyze an explicit time-stepping scheme for a
spatial discretization of stochastic Cahn--Hilliard equation with additive
noise. The fully discrete approximation combines a spectral Galerkin method in
space with a tamed exponential Euler method in time. In contrast to implicit
schemes in the literature, the explicit scheme here is easily implementable and
produces significant improvement in the computational efficiency. It is shown
that the fully discrete approximation converges strongly to the exact solution,
with strong convergence rates identified. Different from the tamed
time-stepping schemes for stochastic Allen--Cahn equations, essential
difficulties arise in the analysis due to the presence of the unbounded linear
operator in front of the nonlinearity. To overcome them, new and non-trivial
arguments are developed in the present work. To the best of our knowledge, it
is the first result concerning an explicit scheme for the stochastic
Cahn--Hilliard equation. Numerical experiments are finally performed to confirm
the theoretical results.
