Comment on "Stronger subadditivity of entropy" by Lieb and Seiringer math-ph/0412009
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2006
- DOI:
- arXiv:
- arXiv:math-ph/0603022
- Bibcode:
- 2006math.ph...3022R
- Keywords:
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- Mathematical Physics;
- Mathematics - Mathematical Physics;
- Quantum Physics
- E-Print:
- 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