dorsal/arxiv
View SchemaConcurrence Vectors for Entanglement of High-dimensional Systems
| Authors | You-Quan Li, Guo-Qiang Zhu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308139 |
| URL | https://arxiv.org/abs/quant-ph/0308139 |
| DOI | 10.1007/s11467-008-0022-2 |
| Journal | Front. Phys. China, 3(3), 250-257 (2008) |
Abstract
The concurrence vectors are proposed by employing the fundamental representation of $A_n$ Lie algebra, which provides a clear criterion to evaluate the entanglement of bipartite system of arbitrary dimension for both pure and mixed states. Accordingly, a state is separable if the norm of its concurrence vector vanishes. The state vectors related to SU(3) states and SO(3) states are discussed in detail. The sign situation of nonzero components of concurrence vectors of entangled bases presents a simple criterion to judge whether the whole Hilbert subspace spanned by those bases is entangled, or there exists entanglement edge. This is illustrated in terms of the concurrence surfaces of several concrete examples.
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"abstract": "The concurrence vectors are proposed by employing the fundamental\nrepresentation of $A_n$ Lie algebra, which provides a clear criterion to\nevaluate the entanglement of bipartite system of arbitrary dimension for both\npure and mixed states. Accordingly, a state is separable if the norm of its\nconcurrence vector vanishes. The state vectors related to SU(3) states and\nSO(3) states are discussed in detail. The sign situation of nonzero components\nof concurrence vectors of entangled bases presents a simple criterion to judge\nwhether the whole Hilbert subspace spanned by those bases is entangled, or\nthere exists entanglement edge. This is illustrated in terms of the concurrence\nsurfaces of several concrete examples.",
"arxiv_id": "quant-ph/0308139",
"authors": [
"You-Quan Li",
"Guo-Qiang Zhu"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s11467-008-0022-2",
"journal_ref": "Front. Phys. China, 3(3), 250-257 (2008)",
"title": "Concurrence Vectors for Entanglement of High-dimensional Systems",
"url": "https://arxiv.org/abs/quant-ph/0308139"
},
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