2010/03/22 by Bianca Letizia Cerchiai, Bianca L. Cerchiai, Bert van Geemen · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Fano plane #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Quantum #Quantum entanglement #Quantum information #Quartic function #Qubit #Spin representation #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1063/1.3519379
published as J. Mat. Phys. 51 (2010) 122203 · 29 pages
arxiv created 2010/03/22 · openalex publication_date 2010/12/01 · arxiv updated 2015/05/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
There is an intriguing relation between quantum information theory and super gravity, discovered by M. J. Duff and S. Ferrara. It relates entanglement measures for qubits to black hole entropy, which in a certain case involves the quartic invariant on the 56-dimensional representation of the Lie group E7. In this paper we recall the relatively straightforward manner in which three-qubits lead to E7, or at least to the Weyl group of E7. We also show how the Fano plane emerges in this context.