dorsal/arxiv
View SchemaLower bounds on concurrence and separability conditions
| Authors | Julio I. de Vicente |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611229 |
| URL | https://arxiv.org/abs/quant-ph/0611229 |
| DOI | 10.1103/PhysRevA.75.052320 |
| Journal | Phys. Rev. A 75, 052320 (2007); 77, 039903(E) (2008) |
Abstract
We obtain analytical lower bounds on the concurrence of bipartite quantum systems in arbitrary dimensions related to the violation of separability conditions based on local uncertainty relations and on the Bloch representation of density matrices. We also illustrate how these results complement and improve those recently derived [K. Chen, S. Albeverio, and S.-M. Fei, Phys. Rev. Lett. 95, 040504 (2005)] by considering the Peres-Horodecki and the computable cross norm or realignment criteria.
{
"annotation_id": "cac232e7-7799-42f5-831f-c5ba8bc7e4ea",
"date_created": "2026-03-02T18:02:33.453000Z",
"date_modified": "2026-03-02T18:02:33.453000Z",
"file_hash": "7e4fe35815185784db850f31c25582bf268eb992f3b490b661db8372977075cd",
"private": false,
"record": {
"abstract": "We obtain analytical lower bounds on the concurrence of bipartite quantum\nsystems in arbitrary dimensions related to the violation of separability\nconditions based on local uncertainty relations and on the Bloch representation\nof density matrices. We also illustrate how these results complement and\nimprove those recently derived [K. Chen, S. Albeverio, and S.-M. Fei, Phys.\nRev. Lett. 95, 040504 (2005)] by considering the Peres-Horodecki and the\ncomputable cross norm or realignment criteria.",
"arxiv_id": "quant-ph/0611229",
"authors": [
"Julio I. de Vicente"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.052320",
"journal_ref": "Phys. Rev. A 75, 052320 (2007); 77, 039903(E) (2008)",
"title": "Lower bounds on concurrence and separability conditions",
"url": "https://arxiv.org/abs/quant-ph/0611229"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e885b922-0597-40e7-876c-fe69cd53ddeb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}