Black hole entropy and quantum information

Authors: M. J. Duff, S. Ferrara

Lect.NotesPhys.755:93-114,2008
Minor Improvements. 22 pages latex

Abstract: We review some recently established connections between the mathematics of black hole entropy in string theory and that of multipartite entanglement in quantum information theory. In the case of N=2 black holes and the entanglement of three qubits, the quartic [SL(2)]^3 invariant, Cayley's hyperdeterminant, provides both the black hole entropy and the measure of tripartite entanglement. In the case of N=8 black holes and the entanglement of seven qubits, the quartic E_7 invariant of Cartan provides both the black hole entropy and the measure of a particular tripartite entanglement encoded in the Fano plane.

Submitted to arXiv on 05 Dec. 2006

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