dorsal/arxiv
View SchemaAsymptotic violation of Bell inequalities and distillability
| Authors | Ll. Masanes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512153 |
| URL | https://arxiv.org/abs/quant-ph/0512153 |
| DOI | 10.1103/PhysRevLett.97.050503 |
| Journal | Phys. Rev. Lett. 97, 050503 (2006) |
Abstract
A multipartite quantum state violates a Bell inequality asymptotically if, after jointly processing by general local operations an arbitrarily large number of copies of it, the result violates the inequality. In the bipartite case we show that asymptotic violation of the CHSH-inequality is equivalent to distillability. Hence, bound entangled states do not violate it. In the multipartite case we consider the complete set of full-correlation Bell inequalities with two dichotomic observables per site, also called WWZB-inequalities. We show that asymptotic violation of any of these inequalities by a multipartite state implies that pure-state entanglement can be distilled from it, although the corresponding distillation protocol may require that some of the parties join into several groups. We also obtain the extreme points of the set of distributions generated by measuring $N$ quantum systems with two dichotomic observables per site. It is shown that when considering the violation of any Bell inequality after preprocessing, either deterministic LOCC or stochastic local operations (without communication) is enough.
{
"annotation_id": "220011c6-d2bc-42e2-8aa3-626764154c43",
"date_created": "2026-03-02T18:02:23.949000Z",
"date_modified": "2026-03-02T18:02:23.949000Z",
"file_hash": "8bf5b3f3e437d6043c2180ceaa0c9221c63bf65c446ca3aed2b787afa6cd3dbc",
"private": false,
"record": {
"abstract": "A multipartite quantum state violates a Bell inequality asymptotically if,\nafter jointly processing by general local operations an arbitrarily large\nnumber of copies of it, the result violates the inequality. In the bipartite\ncase we show that asymptotic violation of the CHSH-inequality is equivalent to\ndistillability. Hence, bound entangled states do not violate it. In the\nmultipartite case we consider the complete set of full-correlation Bell\ninequalities with two dichotomic observables per site, also called\nWWZB-inequalities. We show that asymptotic violation of any of these\ninequalities by a multipartite state implies that pure-state entanglement can\nbe distilled from it, although the corresponding distillation protocol may\nrequire that some of the parties join into several groups. We also obtain the\nextreme points of the set of distributions generated by measuring $N$ quantum\nsystems with two dichotomic observables per site. It is shown that when\nconsidering the violation of any Bell inequality after preprocessing, either\ndeterministic LOCC or stochastic local operations (without communication) is\nenough.",
"arxiv_id": "quant-ph/0512153",
"authors": [
"Ll. Masanes"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.97.050503",
"journal_ref": "Phys. Rev. Lett. 97, 050503 (2006)",
"title": "Asymptotic violation of Bell inequalities and distillability",
"url": "https://arxiv.org/abs/quant-ph/0512153"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6e8a1d01-6565-43d9-9bd5-53f22b45a2a2",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}