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 |
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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. |
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ISSN: | 1550-7998 0556-2821 1550-2368 1089-4918 |
DOI: | 10.1103/PhysRevD.83.045005 |