dorsal/arxiv
View SchemaCharacterization of multiqubit pure-state entanglement
| Authors | Zeqian Chen, Quanhua Xu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505166 |
| URL | https://arxiv.org/abs/quant-ph/0505166 |
| DOI | 10.1103/PhysRevA.73.034306 |
| Journal | PHYSICAL REVIEW A 73, 034306(2006) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
A necessary and sufficient entanglement criterion based on variances of Mermin-Klyshko's Bell operators is proved for multiqubit pure states. Contrary to Bell's inequalities, entangled pure states strictly satisfy a quadratic inequality but product ones can attain the equality under some local unitary transformations, which can be obtained by solving a quadratic maximum problem. This presents a characterization of multiqubit pure-state entanglement.
{
"annotation_id": "a4d3897e-ca50-469f-b9f6-f8dfd557df9a",
"date_created": "2026-03-02T18:02:16.974000Z",
"date_modified": "2026-03-02T18:02:16.974000Z",
"file_hash": "bcb6351ef0d588e511b9471d23bfc5e69694af56b71c16063b4dd6ece5757481",
"private": false,
"record": {
"abstract": "A necessary and sufficient entanglement criterion based on variances of\nMermin-Klyshko\u0027s Bell operators is proved for multiqubit pure states. Contrary\nto Bell\u0027s inequalities, entangled pure states strictly satisfy a quadratic\ninequality but product ones can attain the equality under some local unitary\ntransformations, which can be obtained by solving a quadratic maximum problem.\nThis presents a characterization of multiqubit pure-state entanglement.",
"arxiv_id": "quant-ph/0505166",
"authors": [
"Zeqian Chen",
"Quanhua Xu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.034306",
"journal_ref": "PHYSICAL REVIEW A 73, 034306(2006)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Characterization of multiqubit pure-state entanglement",
"url": "https://arxiv.org/abs/quant-ph/0505166"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "89f1f5bc-ad80-453f-bd3f-589b5fb60132",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}