Journal
PHYSICAL REVIEW D
Volume 76, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.76.025018
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In quantum information theory, it is well known that the tripartite entanglement of three qubits is described by the group [SL(2,C)](3) and that the entanglement measure is given by Cayley's hyperdeterminant. This has provided an analogy with certain N=2 supersymmetric black holes in string theory, whose entropy is also given by the hyperdeterminant. In this paper, we extend the analogy to N=8. We propose that a particular tripartite entanglement of seven qubits, encoded in the Fano plane, is described by the exceptional group E-7(C) and that the entanglement measure is given by Cartan's quartic E-7 invariant.
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