E_7 and the tripartite entanglement of seven qubits

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dc.creatorDuff, M. J.
dc.creatorFerrara, S.
dc.date2006-09-29
dc.date2007-10-09
dc.date.accessioned2026-07-07T11:28:30Z
dc.date.available2026-07-07T11:28:30Z
dc.descriptionIn 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.
dc.descriptionMinor improvements. 15 page latex
dc.identifierhttps://arxiv.org/abs/quant-ph/0609227
dc.identifierhttp://arxiv.org/abs/quant-ph/0609227
dc.identifierPhys.Rev.D76:025018,2007
dc.identifierdoi:10.1103/PhysRevD.76.025018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196459
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleE_7 and the tripartite entanglement of seven qubits
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