Review Reports

Round 1

Reviewer 1 Report

The authors of the submitted manuscript discuss entropic and 
thermodynamic lower bounds on energy dissipation associated 
with information erasure. They use the Reeb and Wolf erasure protocol
and take into account the influence of quantum coherence.
In general, the entropic bound appears to be tighter then thermodynamic
one for sufficiently mixed states.
Moreover, the paper is written clearly. 
Therefore, I recommend it for publication in its present form.

Author Response

We appreciate the first reviewer's recommendation to publish our manuscript in the submitted form.

Reviewer 2 Report

The paper is interesting, and deserves to be published. I wish to give two suggestions to the Authors, just to improve their work. The case of study in this paper considers an infinitely large bosonic reservoir, and such a kind of reservoir resembles more a classical environment rather than a quantum one, like for example a spin lattice, and that should be said, I think.
Also, maybe some explanation about the meaning of the term "time-convolutioness" should be given to non-experts (just saying that it is local in time, and relating this to the Markov property).
Having said that, I believe that the work can be published in Entropy, with these minor changes,

Author Response

We appreciate the second reviewer's fruitful comments.   Our responses to the comments are enclosed in the attached file.

Author Response File: Author Response.pdf