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Entanglement Theory Quantum Correlations
Open Quantum Systems Decoherence
Quantum Simulation
STU attractors from vanishing concurrence
arXiv
Authors: Péter Lévay, Szilárd Szalay
Year
2010
Paper ID
10359
Status
Preprint
Abstract Read
~2 min
Abstract Words
125
Citations
N/A
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.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- Concurrence is an entanglement measure characterizing the it mixed state bipartite correlations inside of a pure state of an n-qubit system.
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