  Topological entanglement entropy has been extensively used as an indicator of
topologically ordered phases. We study the conditions needed for
two-dimensional topologically trivial states to exhibit spurious contributions
that contaminates topological entanglement entropy. We show that if the state
at the boundary of a subregion is a stabilizer state, then it has a non-zero
spurious contribution to the region if and only if, the state is in a
non-trivial one-dimensional $G_1\times G_2$ symmetry-protected-topological
(SPT) phase. However, we provide a candidate of a boundary state that has a
non-zero spurious contribution but does not belong to any such SPT phase.
