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Black hole entropy and quantum information

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arxiv hep-th/0612036 v3 pith:BFHAXJPV submitted 2006-12-05 hep-th gr-qcquant-ph

classification hep-thgr-qcquant-ph
keywords blackentanglemententropyholecaseholesinformationinvariant
verification ladder T0 review T1 audit T2 compute T3 formal
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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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