Black hole entropy and quantum information
File(s)0612036v3.pdf (173.54 KB)
Accepted version
Author(s)
Duff, MJ
Ferrara, S
Type
Chapter
Abstract
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.
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.
Editor(s)
Bellucci, Stefano
Date Issued
2008-07-24
Citation
Supersymmetric Mechanics - Vol. 3 Attractors and Black Holes in Supersymmetric Gravity, 2008, 755, pp.93-114
ISBN
978-3-540-79523-0
Publisher
Springer
Start Page
93
End Page
114
Journal / Book Title
Supersymmetric Mechanics - Vol. 3 Attractors and Black Holes in Supersymmetric Gravity
Lecture Notes in Physics
Volume
755
Copyright Statement
© Springer-Verlag Berlin Heidelberg 2008. The final publication is available at Springer via https://doi.org/10.1007/978-3-540-79523-0_2
Identifier
http://arxiv.org/abs/hep-th/0612036v3
Subjects
hep-th
hep-th
gr-qc
quant-ph
Notes
Minor Improvements. 22 pages latex
OA Location
https://link.springer.com/chapter/10.1007/978-3-540-79523-0_2
Date Publish Online
2008-07-24