# Black hole entropy and quantum information

**Authors:** M. J. Duff, S. Ferrara  
**arXiv:** [hep-th/0612036](https://arxiv.org/abs/hep-th/0612036)  
**Date:** 2006-12-05  
**Summary page:** https://www.summarizepaper.com/fr/paper/hep-th--0612036v3/

## 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.