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Abstract: In a recent paper it has been shown that for double extremal staticspherically symmetric BPS black hole solutions in the STU model the well-knownprocess of moduli stabilization at the horizon can be recast in a form of adistillation procedure of a three-qubit entangled state of GHZ-type. Bystudying the full flow in moduli space in this paper we investigate thisdistillation procedure in more detail. We introduce a three-qubit state withamplitudes depending on the conserved charges the warp factor, and the moduli.We show that for the recently discovered non-BPS solutions it is possible tosee how the distillation procedure unfolds itself as we approach the horizon.For the non-BPS seed solutions at the asymptotically Minkowski region we arestarting with a three-qubit state having seven nonequal nonvanishing amplitudesand finally at the horizon we get a GHZ state with merely four nonvanishingones with equal magnitudes. The magnitude of the surviving nonvanishingamplitudes is proportional to the macroscopic black hole entropy. A systematicstudy of such attractor states shows that their properties reflect thestructure of the fake superpotential. We also demonstrate that when startingwith the very special values for the moduli corresponding to flat directionsthe uniform structure at the horizon deteriorates due to errors generalizingthe usual bit flips acting on the qubits of the attractor states.

Autor: Péter Lévay, Szilárd Szalay


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