  We consider linear superpositions of single particle excitations in a scalar
field theory on $AdS_3$ and evaluate their contribution to the bulk
entanglement entropy across the Ryu-Takayanagi surface. We compare the
entanglement entropy of these excitations obtained using the
Faulkner-Lewkowycz-Maldacena formula to the entanglement entropy of linear
superposition of global descendants of a conformal primary in a large $c$ CFT
obtained using the replica trick. We show that the closed from expressions for
the entanglement entropy in the small interval expansion both in gravity and
the CFT precisely agree. The agreement serves as a non-trivial check of the FLM
formula for the quantum corrections to holographic entropy which also involves
a contribution from the back reacted minimal area. Our checks includes an
example in which the state is time dependent and spatially in-homogenous as
well another example involving a coherent state with a Ba\~{n}ados geometry as
its holographic dual.
