dorsal/arxiv
View SchemaConcurrence in arbitrary dimensions
| Authors | Piotr Badziag, Piotr Deuar, Michal Horodecki, Pawel Horodecki, Ryszard Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107147 |
| URL | https://arxiv.org/abs/quant-ph/0107147 |
| DOI | 10.1080/09500340210121589 |
| Journal | J. Mod. Opt. 49, 1289 (2002) |
Abstract
We argue that a complete characterisation of quantum correlations in bipartite systems of many dimensions may require a quantity which, even for pure states, does not reduce to a single number. Subsequently, we introduce multi-dimensional generalizations of concurrence and find evidence that they may provide useful tools for the analysis of quantum correlations in mixed bipartite states. We also introudce {\it biconcurrence} that leads to a necessary and sufficient condition for separability.
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"abstract": "We argue that a complete characterisation of quantum correlations in\nbipartite systems of many dimensions may require a quantity which, even for\npure states, does not reduce to a single number. Subsequently, we introduce\nmulti-dimensional generalizations of concurrence and find evidence that they\nmay provide useful tools for the analysis of quantum correlations in mixed\nbipartite states. We also introudce {\\it biconcurrence} that leads to a\nnecessary and sufficient condition for separability.",
"arxiv_id": "quant-ph/0107147",
"authors": [
"Piotr Badziag",
"Piotr Deuar",
"Michal Horodecki",
"Pawel Horodecki",
"Ryszard Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500340210121589",
"journal_ref": "J. Mod. Opt. 49, 1289 (2002)",
"title": "Concurrence in arbitrary dimensions",
"url": "https://arxiv.org/abs/quant-ph/0107147"
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