TL;DR
This paper explores the connection between quantum entanglement of qubits and black hole entropy via the Lie group E7, highlighting the role of the Fano plane in this mathematical framework.
Contribution
It demonstrates how three-qubit entanglement relates to the E7 symmetry group and elucidates the emergence of the Fano plane in this context.
Findings
Three-qubits lead to the E7 group structure.
The Fano plane naturally appears in the qubit-E7 relation.
Entanglement measures connect to black hole entropy via E7 invariants.
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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