  A new kind of duality has been proposed by Carr related to the quantum
description of black holes, the so-called Compton/Schwarzschild duality
\cite{Carr:2015nqa}. In this context, a new form for a Generalized Uncertainty
Principle has arisen, which must bring us an interesting new route to a quantum
description of spacetime. In the present paper, we shall investigate the
consequences of the Compton/Schwarzschild duality to black hole entropy. The
results found out reinforce an interesting perspective on the relationship
between black holes and quantum information theory that has been recently
proposed in the literature: that black hole entropy can assume negative values
at the final stage of black hole evaporation. Consequently, in the context of
the quantum corrections to gravity proposed by the Compton/Schwarschild
duality, the final state of a black hole might correspond to a quantum
entangled state, in the place of a remnant.
