2006/09/30 by M. J. Duff, S. Ferrara · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Information and Cryptography #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.76.025018
published as Phys.Rev.D76:025018,2007 · Minor improvements. 15 page latex
openalex publication_date 2007/07/19 · arxiv created 2007/10/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
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 E7(C) and that the entanglement measure is given by Cartan's quartic E7 invariant.