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arXiv · 1003.4255

From qubits to E7

Bianca L. Cerchiai·Bert van Geemen
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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.

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Bianca L. Cerchiai, Bert van Geemen. 2010-03-22. From qubits to E7. https://doi.org/10.1063/1.3519379

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