dorsal/arxiv
View SchemaInductive classification of multipartite entanglement under SLOCC
| Authors | L. Lamata, J. Leon, D. Salgado, E. Solano |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603243 |
| URL | https://arxiv.org/abs/quant-ph/0603243 |
| DOI | 10.1103/PhysRevA.74.052336 |
| Journal | Phys. Rev. A 74, 052336 (2006) |
Abstract
We propose an inductive procedure to classify N-partite entanglement under stochastic local operations and classical communication (SLOCC) provided such a classification is known for N-1 qubits. The method is based upon the analysis of the coefficient matrix of the state in an arbitrary product basis. We illustrate this approach in detail with the well-known bi- and tripartite systems, obtaining as a by-product a systematic criterion to establish the entanglement class of a given pure state without resourcing to any entanglement measure. The general case is proved by induction, allowing us to find an upper bound for the number of N-partite entanglement classes in terms of the number of entanglement classes for N-1 qubits.
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"abstract": "We propose an inductive procedure to classify N-partite entanglement under\nstochastic local operations and classical communication (SLOCC) provided such a\nclassification is known for N-1 qubits. The method is based upon the analysis\nof the coefficient matrix of the state in an arbitrary product basis. We\nillustrate this approach in detail with the well-known bi- and tripartite\nsystems, obtaining as a by-product a systematic criterion to establish the\nentanglement class of a given pure state without resourcing to any entanglement\nmeasure. The general case is proved by induction, allowing us to find an upper\nbound for the number of N-partite entanglement classes in terms of the number\nof entanglement classes for N-1 qubits.",
"arxiv_id": "quant-ph/0603243",
"authors": [
"L. Lamata",
"J. Leon",
"D. Salgado",
"E. Solano"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.052336",
"journal_ref": "Phys. Rev. A 74, 052336 (2006)",
"title": "Inductive classification of multipartite entanglement under SLOCC",
"url": "https://arxiv.org/abs/quant-ph/0603243"
},
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