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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.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • 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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