From qubits to E7
Quantum Physics
2015-05-18 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
There is a 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.
Cite
@article{arxiv.1003.4255,
title = {From qubits to E7},
author = {Bianca L. Cerchiai and Bert van Geemen},
journal= {arXiv preprint arXiv:1003.4255},
year = {2015}
}
Comments
29 pages