Conditional entropies and their relation to entanglement criteria
Quantum Physics
2009-11-07 v1
Abstract
We discuss conditional Renyi and Tsallis entropies for bipartite quantum systems of finite dimension. We investigate the relation between the positivity of conditional entropies and entanglement properties. It is in particular shown that any state having a negative conditional entropy with respect to any value of the entropic parameter is distillable since it violates the reduction criterion. Moreover we show that the entanglement of Werner states in odd dimensions can neither be detected by entropic criteria nor by any other spectral criterion.
Cite
@article{arxiv.quant-ph/0202058,
title = {Conditional entropies and their relation to entanglement criteria},
author = {Karl Gerd H. Vollbrecht and Michael M. Wolf},
journal= {arXiv preprint arXiv:quant-ph/0202058},
year = {2009}
}
Comments
5 pages, revtex4 (replaces quant-ph/0107014 taking into account the result of Nielsen and Kempe)