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STU attractors from vanishing concurrence
- Source :
- Phys.Rev.D83:045005,2011
- Publication Year :
- 2010
-
Abstract
- 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.<br />Comment: 15 pages, 2 figures, Latex
- Subjects :
- High Energy Physics - Theory
Mathematical Physics
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys.Rev.D83:045005,2011
- Publication Type :
- Report
- Accession number :
- edsarx.1011.4180
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.83.045005