Operator monotones, the reduction criterion and the relative entropy
Quantum Physics
2009-11-06 v2
Abstract
We introduce the theory of operator monotone functions and employ it to derive a new inequality relating the quantum relative entropy and the quantum conditional entropy. We present applications of this new inequality and in particular we prove a new lower bound on the relative entropy of entanglement and other properties of entanglement measures.
Cite
@article{arxiv.quant-ph/0002075,
title = {Operator monotones, the reduction criterion and the relative entropy},
author = {M. B. Plenio and S. Virmani and P. Papadopoulos},
journal= {arXiv preprint arXiv:quant-ph/0002075},
year = {2009}
}
Comments
Final version accepted for publication, added references in reference [1] and [13]