few major issues we believe are key for the reviewers ' evaluation of the main contribution of the paper: 3

We thank the reviewers and AC for their thoughtful comments and thorough review. We will include detailed comparisons in the camera-ready version of the paper. Reviewer #1 urges us to describe our calculation of Eqs. We agree with the reviewer's statement that the entropy of the average is not the same as the average of We will describe this calculation in detail in the appendix. We will make this conceptual point explicit in the camera-ready version.