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 E7 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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Duff, M.J., Ferrara, S. (2008). Black Hole Entropy and Quantum Information. In: Supersymmetric Mechanics - Vol. 3. Lecture Notes in Physics, vol 755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79523-0_2
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