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

Mary Beth Ruskai

math-pharXiv:math-ph/0603022

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.

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