  The topological entanglement entropy (TEE) is a robust measurement of the
quantum many-body state with topological order. In fractional quantum Hall
(FQH) state, it has a connection to the quantum dimension of the state itself
and its quasihole excitations from the conformal field theory (CFT)
description. We study the entanglement entropy (EE) in the Moore-Read (MR) and
Read-Rezayi (RR) FQH states. The non-Abelian quasi- hole excitation induces an
extra correction of the TEE which is related to its quantum dimension. With
considering the effects of the disorder, the ground state TEE is stable before
the spectral gap closing and the level statistics seems to have significant
change with a stronger disorder, which indicates a many-body localization (MBL)
transition.

Strongly Correlated Electrons