Negativity and Concurrence of mixed 2X2 states

Details Negativity and Concurrence of mixed 2X2 states Negativity and Concurrence of mixed 2X2 states

2000-12-15

arxiv.org/abs/quant-ph/0012074v1

Physics

Quantum Physics

4 pages, 2 figures included. QIP2001 workshop, January 2001, Amsterdam; for an extended version see quant-ph/0108021

Scientific paper

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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