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Negativity and Concurrence of mixed 2X2 states

Koenraad Audenaert·Frank Verstraete·Tijl De Bie·Bart De Moor
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Abstract

We consider two measures of entanglement of mixed bipartite states of dimension 2X2: concurrence and negativity. We first prove the conjecture of Eisert and Plenio that concurrence can never be smaller than negativity. We then characterise all states for which concurrence equals negativity and also those states for which the difference between concurrence and negativity is maximal (keeping either the concurrence fixed, or the participation ratio R=1/trace(rho^2)).

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Koenraad Audenaert, Frank Verstraete, Tijl De Bie, Bart De Moor. 2000-12-15. Negativity and Concurrence of mixed 2X2 states. https://arxiv.org/abs/quant-ph/0012074

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