E{sub 6} and the bipartite entanglement of three qutrits
- Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ (United Kingdom)
- Physics Department, Theory Unit, CERN, CH1211, Geneva 23 (Switzerland)
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)]{sup 3} and (2) N=8 black holes and the tripartite entanglement of seven qubits where the common symmetry is E{sub 7} superset of [SL(2)]{sup 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 E{sub 6} superset of [SL(3)]{sup 3}. Both the black hole (or black string) entropy and the entanglement measure are provided by the Cartan cubic E{sub 6} invariant. Similar analogies exist for magic N=2 supergravity black holes in both four and five dimensions.
- OSTI ID:
- 21024048
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 76, Issue 12; Other Information: DOI: 10.1103/PhysRevD.76.124023; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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