Quantum Stein's lemma revisited, inequalities for quantum entropies, and a concavity theorem of Lieb
Bjelakovic, Igor ; Siegmund-Schultze, Rainer
arXiv, 0307170 / Harvested from arXiv
Text on arXiv
We derive the monotonicity of the quantum relative entropy by an elementary operational argument based on Stein's lemma in quantum hypothesis testing. For the latter we present an elementary and short proof that requires the law of large numbers only. Joint convexity of the quantum relative entropy is proven too, resulting in a self-contained elementary version of Tropp's approach to Lieb's concavity theorem, according to which the map tr(exp(h+log a)) is concave in a on positive operators for self-adjoint h.
Publié le : 2003-07-24
Classification:  Quantum Physics,  Computer Science - Information Theory,  Mathematical Physics 
@article{0307170,
     author = {Bjelakovic, Igor and Siegmund-Schultze, Rainer},
     title = {Quantum Stein's lemma revisited, inequalities for quantum entropies, and
  a concavity theorem of Lieb},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307170}
}

Bjelakovic, Igor; Siegmund-Schultze, Rainer. Quantum Stein's lemma revisited, inequalities for quantum entropies, and
  a concavity theorem of Lieb. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307170/