  Topologically ordered phases of matter can be characterized by the presence
of a universal, constant contribution to the entanglement entropy known as the
topological entanglement entropy (TEE). The TEE can been calculated for Abelian
phases via a "cut-and-glue" approach by treating the entanglement cut as a
physical cut, coupling the resulting gapless edges with explicit tunneling
terms, and computing the entanglement between the two edges. We provide a first
step towards extending this methodology to non-Abelian topological phases,
focusing on the generalized Moore-Read (MR) fractional quantum Hall states at
filling fractions $\nu=1/n$. We consider interfaces between different MR
states, write down explicit gapping interactions, which we motivate using an
anyon condensation picture, and compute the entanglement entropy for an
entanglement cut lying along the interface. Our work provides new insight
towards understanding the connections between anyon condensation, gapped
interfaces of non-Abelian phases, and TEE.
