Comment on "Stronger subadditivity of entropy" by Lieb and Seiringer math-ph/0412009
Mathematical Physics
2009-01-14 v3 math.MP
Quantum Physics
Abstract
We show how recent results of Lieb and Seiringer [math-ph/0412009; Phys. Rev. A 71, 062329 (2005)] can be obtained from repeated use of the monotonicity of relative entropy under partial traces, and explain how to use their approach to obtain tighter bounds in many situations.
Cite
@article{arxiv.math-ph/0603022,
title = {Comment on "Stronger subadditivity of entropy" by Lieb and Seiringer math-ph/0412009},
author = {Mary Beth Ruskai},
journal= {arXiv preprint arXiv:math-ph/0603022},
year = {2009}
}
Comments
math-ph/0412009 appeared in Phys. Rev. A 71, 062329 (2005). In v. 3 typos are corrected and a paragraph added which shows that the "sandwich" property (13) [which is (9) in LS] holds for any CPT map restricted to a subsystem