dorsal/arxiv
View SchemaEntanglement criterion for pure $M\otimes N$ bipartite quantum states
| Authors | Hoshang Heydari, Gunnar Björk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401128 |
| URL | https://arxiv.org/abs/quant-ph/0401128 |
| DOI | 10.1134/1.2055931 |
| Journal | Opt. Spectrosc. 99(3) (2005) 370-376 |
Abstract
We propose a entanglement measure for pure $M \otimes N$ bipartite quantum states. We obtain the measure by generalizing the equivalent measure for a $2 \otimes 2$ system, via a $2 \otimes 3$ system, to the general bipartite case. The measure emphasizes the role Bell states have, both for forming the measure, and for experimentally measuring the entanglement. The form of the measure is similar to generalized concurrence. In the case of $2 \otimes 3$ systems, we prove that our measure, that is directly measurable, equals the concurrence. It is also shown that in order to measure the entanglement, it is sufficient to measure the projections of the state onto a maximum of $M(M-1)N(N-1)/2$ Bell states.
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"abstract": "We propose a entanglement measure for pure $M \\otimes N$ bipartite quantum\nstates. We obtain the measure by generalizing the equivalent measure for a $2\n\\otimes 2$ system, via a $2 \\otimes 3$ system, to the general bipartite case.\nThe measure emphasizes the role Bell states have, both for forming the measure,\nand for experimentally measuring the entanglement. The form of the measure is\nsimilar to generalized concurrence. In the case of $2 \\otimes 3$ systems, we\nprove that our measure, that is directly measurable, equals the concurrence. It\nis also shown that in order to measure the entanglement, it is sufficient to\nmeasure the projections of the state onto a maximum of $M(M-1)N(N-1)/2$ Bell\nstates.",
"arxiv_id": "quant-ph/0401128",
"authors": [
"Hoshang Heydari",
"Gunnar Bj\u00f6rk"
],
"categories": [
"quant-ph"
],
"doi": "10.1134/1.2055931",
"journal_ref": "Opt. Spectrosc. 99(3) (2005) 370-376",
"title": "Entanglement criterion for pure $M\\otimes N$ bipartite quantum states",
"url": "https://arxiv.org/abs/quant-ph/0401128"
},
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