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E-6 and the bipartite entanglement of three qutrits

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Title: E-6 and the bipartite entanglement of three qutrits
Authors: Duff, MJ
Ferrara, S
Item Type: Journal Article
Abstract: Recent investigations have established an analogy between the entropy of four-dimensional supersymmetric black holes in string theory and entanglement in quantum information theory. Examples include: (1) N=2 STU black holes and the tripartite entanglement of three qubits (2-state systems), where the common symmetry is [SL(2)]3 and (2) N=8 black holes and the tripartite entanglement of seven qubits where the common symmetry is E7⊃[SL(2)]7. Here we present another example: N=8 black holes (or black strings) in five dimensions and the bipartite entanglement of three qutrits (3-state systems), where the common symmetry is E6⊃[SL(3)]3. Both the black hole (or black string) entropy and the entanglement measure are provided by the Cartan cubic E6 invariant. Similar analogies exist for magic N=2 supergravity black holes in both four and five dimensions.
Issue Date: 15-Dec-2007
Date of Acceptance: 1-Dec-2007
URI: http://hdl.handle.net/10044/1/68469
DOI: https://dx.doi.org/10.1103/PhysRevD.76.124023
ISSN: 2470-0010
Publisher: American Physical Society
Journal / Book Title: Physical Review D
Volume: 76
Issue: 12
Copyright Statement: © 2007 American Physical Society.
Keywords: Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Particles & Fields
Physics
MAXWELL-EINSTEIN SUPERGRAVITY
JORDAN ALGEBRAS
U-DUALITY
TRIALITY
hep-th
quant-ph
0201 Astronomical And Space Sciences
0202 Atomic, Molecular, Nuclear, Particle And Plasma Physics
0206 Quantum Physics
Nuclear & Particles Physics
Publication Status: Published
Article Number: 124023
Online Publication Date: 2007-12-19
Appears in Collections:Physics
Faculty of Natural Sciences