Comment on "Stronger subadditivity of entropy" by Lieb and Seiringer math-ph/0412009
Abstract
Description
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.
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
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