2007/04/30 by M. J. Duff, S. Ferrara · 1 citation
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Information and Cryptography #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.76.124023
published as Phys.Rev.D76:124023,2007 · 15 pages latex, 3 figures, minor corrections
arxiv created 2007/10/09 · openalex publication_date 2007/12/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Recent investigations have established an analogy between the entropy of four-dimensional supersymmetric black holes in string theory and entanglement in quantum information theory. Examples include: (1) N=2 STU black holes and the tripartite entanglement of three qubits (2-state systems), where the common symmetry is [SL(2)]3 and (2) N=8 black holes and the tripartite entanglement of seven qubits where the common symmetry is E7\ensuremath⊃[SL(2)]7. Here we present another example: N=8 black holes (or black strings) in five dimensions and the bipartite entanglement of three qutrits (3-state systems), where the common symmetry is E6\ensuremath⊃[SL(3)]3. Both the black hole (or black string) entropy and the entanglement measure are provided by the Cartan cubic E6 invariant. Similar analogies exist for magic N=2 supergravity black holes in both four and five dimensions.