English

Black hole entropy and quantum information

High Energy Physics - Theory 2008-12-18 v3 General Relativity and Quantum Cosmology Quantum Physics

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.

Keywords

Cite

@article{arxiv.hep-th/0612036,
  title  = {Black hole entropy and quantum information},
  author = {M. J. Duff and S. Ferrara},
  journal= {arXiv preprint arXiv:hep-th/0612036},
  year   = {2008}
}

Comments

Minor Improvements. 22 pages latex

R2 v1 2026-07-22T15:39:43.312Z