  We present a detailed analysis of bi-partite entanglement in the non-Abelian
Moore-Read fractional quantum Hall state of bosons and fermions on the torus.
In particular, we show that the entanglement spectra can be decomposed into
intricate combinations of different sectors of the conformal field theory
describing the edge physics, and that the edge level counting and tower
structure can be microscopically understood by considering the vicinity of the
thin-torus limit. We also find that the boundary entropy density of the
Moore-Read state is markedly higher than in the Laughlin states investigated so
far. Despite the torus geometry being somewhat more involved than in the sphere
geometry, our analysis and insights may prove useful when adopting entanglement
probes to other systems that are more easily studied with periodic boundary
conditions, such as fractional Chern insulators and lattice problems in
general.
