Black hole entropy and quantum information

Details Black hole entropy and quantum information Black hole entropy and quantum information

2006-12-05

arxiv.org/abs/hep-th/0612036v3

Lect.NotesPhys.755:93-114,2008

Physics

High Energy Physics

High Energy Physics - Theory

Minor Improvements. 22 pages latex

Scientific paper

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.

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