$E_7$ and the tripartite entanglement of seven qubits

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 theo...

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Detalles Bibliográficos
Autores principales: Duff, M.J., Ferrara, S.
Lenguaje:eng
Publicado: 2006
Materias:
General Theoretical Physics
General Relativity and Cosmology
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.76.025018
http://cds.cern.ch/record/986863
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author Duff, M.J.
Ferrara, S.
author_facet Duff, M.J.
Ferrara, S.
author_sort Duff, M.J.
collection CERN
description 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 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
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spelling cern-9868632023-05-16T08:58:20Zdoi:10.1103/PhysRevD.76.025018http://cds.cern.ch/record/986863engDuff, M.J.Ferrara, S.$E_7$ and the tripartite entanglement of seven qubitsGeneral Theoretical PhysicsGeneral Relativity and CosmologyParticle Physics - TheoryIn 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 is described by the exceptional group E_7(C) and that the entanglement measure is given by Cartan's quartic E_7 invariant.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.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.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.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.quant-ph/0609227IMPERIAL-TP-2006-MJD-5CERN-PH-TH-2006-194oai:cds.cern.ch:9868632006-09-29
spellingShingle General Theoretical Physics
General Relativity and Cosmology
Particle Physics - Theory
Duff, M.J.
Ferrara, S.
$E_7$ and the tripartite entanglement of seven qubits
title $E_7$ and the tripartite entanglement of seven qubits
title_full $E_7$ and the tripartite entanglement of seven qubits
title_fullStr $E_7$ and the tripartite entanglement of seven qubits
title_full_unstemmed $E_7$ and the tripartite entanglement of seven qubits
title_short $E_7$ and the tripartite entanglement of seven qubits
title_sort $e_7$ and the tripartite entanglement of seven qubits
topic General Theoretical Physics
General Relativity and Cosmology
Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.76.025018
http://cds.cern.ch/record/986863
work_keys_str_mv AT duffmj e7andthetripartiteentanglementofsevenqubits
AT ferraras e7andthetripartiteentanglementofsevenqubits

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