Black hole entropy and quantum information

We review some recently established connections between the mathematics of black hole entropy in string theory and that of multipartite entanglement in quantum information theory. In the case of N=2 black holes and the entanglement of three qubits, the quartic [SL(2)]^3 invariant, Cayley's hype...

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Detalles Bibliográficos
Autores principales: Duff, M.J., Ferrara, S.
Lenguaje:eng
Publicado: 2006
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-79523-0_2
http://cds.cern.ch/record/1003127
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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 We review some recently established connections between the mathematics of black hole entropy in string theory and that of multipartite entanglement in quantum information theory. In the case of N=2 black holes and the entanglement of three qubits, the quartic [SL(2)]^3 invariant, Cayley's hyperdeterminant, provides both the black hole entropy and the measure of tripartite entanglement. In the case of N=8 black holes and the entanglement of seven qubits, the quartic E_7 invariant of Cartan provides both the black hole entropy and the measure of a particular tripartite entanglement encoded in the Fano plane.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
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spelling cern-10031272023-03-21T04:40:11Zdoi:10.1007/978-3-540-79523-0_2http://cds.cern.ch/record/1003127engDuff, M.J.Ferrara, S.Black hole entropy and quantum informationParticle Physics - TheoryWe review some recently established connections between the mathematics of black hole entropy in string theory and that of multipartite entanglement in quantum information theory. In the case of N=2 black holes and the entanglement of three qubits, the quartic [SL(2)]^3 invariant, Cayley's hyperdeterminant, provides both the black hole entropy and the measure of tripartite entanglement. In the case of N=8 black holes and the entanglement of seven qubits, the quartic E_7 invariant of Cartan provides both the black hole entropy and the measure of a particular tripartite entanglement encoded in the Fano plane.We review some recently established connections between the mathematics of black hole entropy in string theory and that of multipartite entanglement in quantum information theory. In the case of N=2 black holes and the entanglement of three qubits, the quartic [SL(2)]^3 invariant, Cayley's hyperdeterminant, provides both the black hole entropy and the measure of tripartite entanglement. In the case of N=8 black holes and the entanglement of seven qubits, the quartic E_7 invariant of Cartan provides both the black hole entropy and the measure of a particular tripartite entanglement encoded in the Fano plane.hep-th/0612036IMPERIAL-TP-2006-MJD-6CERN-PH-TH-2006-250CERN-PH-TH-2006-250IMPERIAL-TP-2006-MJD-6oai:cds.cern.ch:10031272006-12-05
spellingShingle Particle Physics - Theory
Duff, M.J.
Ferrara, S.
Black hole entropy and quantum information
title Black hole entropy and quantum information
title_full Black hole entropy and quantum information
title_fullStr Black hole entropy and quantum information
title_full_unstemmed Black hole entropy and quantum information
title_short Black hole entropy and quantum information
title_sort black hole entropy and quantum information
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/978-3-540-79523-0_2
http://cds.cern.ch/record/1003127
work_keys_str_mv AT duffmj blackholeentropyandquantuminformation
AT ferraras blackholeentropyandquantuminformation

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