arXiv:quant-ph/0202058AbstractReferencesReviewsResources
Conditional entropies and their relation to entanglement criteria
Karl Gerd H. Vollbrecht, Michael M. Wolf
Published 2002-02-11Version 1
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.
Comments: 5 pages, revtex4 (replaces quant-ph/0107014 taking into account the result of Nielsen and Kempe)
DOI: 10.1063/1.1498490
Categories: quant-ph
Keywords: entanglement criteria, bipartite quantum systems, werner states, spectral criterion, conditional renyi
Tags: journal article
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