  Measuring DVCS on a neutron target is a necessary step to deepen our
understanding of the structure of the nucleon in terms of Generalized Parton
Distributions (GPDs). The combination of neutron and proton targets allows to
perform a flavor decomposition of the GPDs. Moreover, neutron-DVCS plays a
complementary role to DVCS on a transversely polarized proton target in the
determination of the GPD $E$, the least known and constrained GPD that enters
Ji's angular momentum sum rule. A measurement of the beam-charge asymmetry
(BCA) in the $e^{\pm} d\to e^{\pm}n\gamma(p)$ reaction can significantly impact
the experimental determination of the real parts of the $E$ and, to a lesser
extent, $\widetilde{H}$ GPDs.
