  We analyze the relationship between entanglement (or geometric) entropy with
statistical mechanical entropy of horizon degrees of freedom when described in
the framework of isolated horizons in loop quantum gravity. We show that, once
the relevant degrees of freedom are identified, the two notions coincide. The
key ingredient linking the two notions is the structure of quantum geometry at
Planck scale implied by loop quantum gravity, where correlations between the
inside and outside of the black hole are mediated by eigenstates of the horizon
area operator.
