dorsal/arxiv
View SchemaNormal forms and entanglement measures for multipartite quantum states
| Authors | Frank Verstraete, Jeroen Dehaene, Bart De Moor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105090 |
| URL | https://arxiv.org/abs/quant-ph/0105090 |
| DOI | 10.1103/PhysRevA.68.012103 |
| Journal | Phys. Rev. A 68, 012103 (2003) |
Abstract
A general mathematical framework is presented to describe local equivalence classes of multipartite quantum states under the action of local unitary and local filtering operations. This yields multipartite generalizations of the singular value decomposition. The analysis naturally leads to the introduction of entanglement measures quantifying the multipartite entanglement (as generalizations of the concurrence and the 3-tangle), and the optimal local filtering operations maximizing these entanglement monotones are obtained. Moreover a natural extension of the definition of GHZ-states to e.g. $2\times 2\times N$ systems is obtained.
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"abstract": "A general mathematical framework is presented to describe local equivalence\nclasses of multipartite quantum states under the action of local unitary and\nlocal filtering operations. This yields multipartite generalizations of the\nsingular value decomposition. The analysis naturally leads to the introduction\nof entanglement measures quantifying the multipartite entanglement (as\ngeneralizations of the concurrence and the 3-tangle), and the optimal local\nfiltering operations maximizing these entanglement monotones are obtained.\nMoreover a natural extension of the definition of GHZ-states to e.g. $2\\times\n2\\times N$ systems is obtained.",
"arxiv_id": "quant-ph/0105090",
"authors": [
"Frank Verstraete",
"Jeroen Dehaene",
"Bart De Moor"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.012103",
"journal_ref": "Phys. Rev. A 68, 012103 (2003)",
"title": "Normal forms and entanglement measures for multipartite quantum states",
"url": "https://arxiv.org/abs/quant-ph/0105090"
},
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