dorsal/arxiv
View SchemaCovariance matrices and the separability problem
| Authors | O. Gühne, P. Hyllus, O. Gittsovich, J. Eisert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611282 |
| URL | https://arxiv.org/abs/quant-ph/0611282 |
| DOI | 10.1103/PhysRevLett.99.130504 |
| Journal | Phys. Rev. Lett. 99, 130504 (2007) |
Abstract
We propose a unifying approach to the separability problem using covariance matrices of locally measurable observables. From a practical point of view, our approach leads to strong entanglement criteria that allow to detect the entanglement of many bound entangled states in higher dimensions and which are at the same time necessary and sufficient for two qubits. From a fundamental perspective, our approach leads to insights into the relations between several known entanglement criteria -- such as the computable cross norm and local uncertainty criteria -- as well as their limitations.
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"abstract": "We propose a unifying approach to the separability problem using covariance\nmatrices of locally measurable observables. From a practical point of view, our\napproach leads to strong entanglement criteria that allow to detect the\nentanglement of many bound entangled states in higher dimensions and which are\nat the same time necessary and sufficient for two qubits. From a fundamental\nperspective, our approach leads to insights into the relations between several\nknown entanglement criteria -- such as the computable cross norm and local\nuncertainty criteria -- as well as their limitations.",
"arxiv_id": "quant-ph/0611282",
"authors": [
"O. G\u00fchne",
"P. Hyllus",
"O. Gittsovich",
"J. Eisert"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.99.130504",
"journal_ref": "Phys. Rev. Lett. 99, 130504 (2007)",
"title": "Covariance matrices and the separability problem",
"url": "https://arxiv.org/abs/quant-ph/0611282"
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