Conditional entropies and their relation to entanglement criteria

Details Conditional entropies and their relation to entanglement criteria Conditional entropies and their relation to entanglement criteria

2002-02-11

arxiv.org/abs/quant-ph/0202058v1

Physics

Quantum Physics

5 pages, revtex4 (replaces quant-ph/0107014 taking into account the result of Nielsen and Kempe)

Scientific paper

10.1063/1.1498490

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.

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