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Black hole entropy and quantum information

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 hype...

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Detalles Bibliográficos
Autores principales: Duff, M.J., Ferrara, S.
Lenguaje:eng
Publicado: 2006
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-79523-0_2
http://cds.cern.ch/record/1003127
Descripción
Sumario: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.