STU attractors from vanishing concurrence

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.

15 pages, 2 figures, Latex

References in corpus (14)

• Four-qubit entanglement from string theory
• Black Holes, Qubits and Octonions
• Strings, Black Holes, and Quantum Information
• Exact Attractive Non-BPS STU Black Holes
• Stringy Black Holes and the Geometry of Entanglement
• E_7 and the tripartite entanglement of seven qubits
• Three-Qubit Operators, the Split Cayley Hexagon of Order Two and Black Holes
• Three fermions with six single particle states can be entangled in two inequivalent ways
• Strings, black holes, the tripartite entanglement of seven qubits and the Fano plane
• E_6 and the bipartite entanglement of three qutrits
• Attractors with Vanishing Central Charge
• Wrapped branes as qubits
• Black Hole Entropy and Finite Geometry
• A three-qubit interpretation of BPS and non-BPS STU black holes