{ "id": "hep-th/0612036", "version": "v3", "published": "2006-12-05T12:23:47.000Z", "updated": "2007-10-09T18:29:16.000Z", "title": "Black hole entropy and quantum information", "authors": [ "M. J. Duff", "S. Ferrara" ], "comment": "Minor Improvements. 22 pages latex", "journal": "Lect.NotesPhys.755:93-114,2008", "categories": [ "hep-th", "gr-qc", "quant-ph" ], "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.", "revisions": [ { "version": "v3", "updated": "2007-10-09T18:29:16.000Z" } ], "analyses": { "keywords": [ "black hole entropy", "tripartite entanglement", "quantum information theory", "fano plane", "multipartite entanglement" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "inspire": 733513, "adsabs": "2006hep.th...12036D" } } }