Hawking evaporation and the Landauer Principle

We show that Hawking black-hole evaporation saturates the Landauer Principle of information thermodynamics. Our result implies that information loss experienced by a black hole during Hawking evaporation takes place as efficiently as possible. We also extend the analysis to the case of Barrow entropy as a phenomenological realization of a fractal event horizon, where the Landauer Principle informs amongst different options for the black hole temperature. To our knowledge, this work is the first identification of the two results as expressions of the same process.