  We construct the de Sitter QED in Coulomb gauge assuming that the quantum
modes are prepared by a global apparatus which is able to determine a stable
and invariant vacuum state, independent on the local coordinates. Then we
proceed in traditional manner postulating the appropriate equal-time
commutators and anti-commutators of the interacting fields and deriving the
perturbation expansion of the scattering operator. In this approach the $in
-out$ transitions amplitudes, measured by the same global apparatus, can be
calculated exactly by using the reduction formalism and the perturbation
procedure as in the flat case but with significant differences due to the de
Sitter geometry. A specific feature is that the gravity eliminates the
constraints due to the simultaneous momentum-energy conservation giving rise to
QED transitions with non-vanishing amplitudes even in the first order of
perturbations. Of a special interest could be the first order amplitudes of the
electromagnetic particle creation allowed by the expansion of the de Sitter
universe. We show that this effect is significant only in the very strong
gravity of the early universe.
