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.
From qubits to E7 / B. L. Cerchiai, B. van Geemen. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 51:12(2010), pp. 122203.122-122203.203. [10.1063/1.3519379]
From qubits to E7
B.L. CerchiaiPrimo
;B. van GeemenUltimo
2010
Abstract
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.
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