Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-11-18
Phys.Rev.D83:045005,2011
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 2 figures, Latex
Scientific paper
10.1103/PhysRevD.83.045005
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.
Lévay Péter
Szalay Szilárd
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