STU attractors from vanishing concurrence

Concurrence is an entanglement measure characterizing the 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 symmetr...

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Veröffentlicht in:Physical review. D, Particles and fields Particles and fields, 2011-02, Vol.83 (4), Article 045005
Hauptverfasser: Lévay, Péter, Szalay, Szilárd
Format: Artikel
Sprache:eng
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Zusammenfassung:Concurrence is an entanglement measure characterizing the 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 Bogomolny-Prasad-Sommerfield (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 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.
ISSN:1550-7998
0556-2821
1550-2368
1089-4918
DOI:10.1103/PhysRevD.83.045005