  In this paper, we investigate the effects of non-perturbative quantum
gravitational corrections on a quantum sized AdS black hole. It will be
observed that these non-perturbative quantum gravitational corrections modify
the stability of this black hole. We will use the non-equilibrium quantum
thermodynamics to investigate the evaporation of this black hole between two
states. We will analyze the effects of non-perturbative quantum gravitational
corrections on this non-equilibrium quantum thermodynamics. We will explicitly
obtain the quantum work distribution for this black hole, as it evaporates
between two states. It will be observed that this quantum work distribution is
modified due to non-perturbative quantum gravitational corrections.
