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

Physics – Mathematical Physics

Scientific paper

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math-ph/0412009 appeared in Phys. Rev. A 71, 062329 (2005). In v. 3 typos are corrected and a paragraph added which shows that

Scientific paper

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.

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