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E-7 and the tripartite entanglement of seven qubits

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Title: E-7 and the tripartite entanglement of seven qubits
Authors: Duff, MJ
Ferrara, S
Item Type: Journal Article
Abstract: 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.
Issue Date: 15-Jul-2007
Date of Acceptance: 1-Jul-2007
URI: http://hdl.handle.net/10044/1/68471
DOI: https://dx.doi.org/10.1103/PhysRevD.76.025018
ISSN: 2470-0010
Publisher: American Physical Society
Journal / Book Title: Physical Review D
Volume: 76
Issue: 2
Copyright Statement: © 2007 American Physical Society.
Keywords: Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Particles & Fields
Physics
BLACK-HOLES
BRANES
STATES
TRIALITY
DUALITY
quant-ph
gr-qc
hep-th
0201 Astronomical And Space Sciences
0202 Atomic, Molecular, Nuclear, Particle And Plasma Physics
0206 Quantum Physics
Nuclear & Particles Physics
Publication Status: Published
Article Number: 025018
Online Publication Date: 2007-07-19
Appears in Collections:Physics
Faculty of Natural Sciences



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