Inhalt
zur Navigation
Es gibt keine deutsche Übersetzung dieser Webseite.
Dr. rer. nat. Igor Bjelakovic
You can find me on:
Most of the papers listed below and some that are not submitted yet can be found at arXiv
Preprints
Zitatschlüssel | Bjequaste2015 |
---|---|
Autor | I. Bjelakovic and R. Siegmund-Schultze |
Jahr | 2015 |
Journal | Preprint available at arXiv:quant-ph/0307170 |
Zusammenfassung | 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. |