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arxiv: 1011.4180 · v1 · pith:JUFR2K4Fnew · submitted 2010-11-18 · ✦ hep-th · math-ph· math.MP· quant-ph

STU attractors from vanishing concurrence

classification ✦ hep-th math-phmath.MPquant-ph
keywords statebipartitevanishingblackcharacterizingconcurrenceconcurrencesentanglement
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Concurrence is an entanglement measure characterizing the {\it mixed} state bipartite correlations inside of a pure state of an $n$-qubit system. We show that after organizing the charges and the moduli in the STU model of $N=2$, $d=4$ supergravity to a three-qubit state, for static extremal spherically symmetric BPS black hole solutions the vanishing condition for all of the bipartite concurrences on the horizon is equivalent to the attractor equations. As a result of this the macroscopic black hole entropy given by the three-tangle can be reinterpreted as a linear entropy characterizing the {\it pure} state entanglement for an arbitrary bipartite split. Both for the BPS and non-BPS cases explicit expressions for the concurrences are obtained, with their vanishing on the horizon is demonstrated.

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