dorsal/arxiv
View SchemaE_7 and the tripartite entanglement of seven qubits
| Authors | M. J. Duff, S. Ferrara |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609227 |
| URL | https://arxiv.org/abs/quant-ph/0609227 |
| DOI | 10.1103/PhysRevD.76.025018 |
| Journal | Phys.Rev.D76:025018,2007 |
Abstract
In quantum information theory, it is well known that the tripartite entanglement of three qubits is described by the group [SL(2,C)]^3 and that the entanglement measure is given by Cayley's hyperdeterminant. This has provided an analogy with certain N=2 supersymmetric black holes in string theory, whose entropy is also given by the hyperdeterminant. In this paper, we extend the analogy to N=8. We propose that a particular tripartite entanglement of seven qubits, encoded in the Fano plane, is described by the exceptional group E_7(C) and that the entanglement measure is given by Cartan's quartic E_7 invariant.
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"abstract": "In quantum information theory, it is well known that the tripartite\nentanglement of three qubits is described by the group [SL(2,C)]^3 and that the\nentanglement measure is given by Cayley\u0027s hyperdeterminant. This has provided\nan analogy with certain N=2 supersymmetric black holes in string theory, whose\nentropy is also given by the hyperdeterminant. In this paper, we extend the\nanalogy to N=8. We propose that a particular tripartite entanglement of seven\nqubits, encoded in the Fano plane, is described by the exceptional group E_7(C)\nand that the entanglement measure is given by Cartan\u0027s quartic E_7 invariant.",
"arxiv_id": "quant-ph/0609227",
"authors": [
"M. J. Duff",
"S. Ferrara"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th"
],
"doi": "10.1103/PhysRevD.76.025018",
"journal_ref": "Phys.Rev.D76:025018,2007",
"title": "E_7 and the tripartite entanglement of seven qubits",
"url": "https://arxiv.org/abs/quant-ph/0609227"
},
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