dorsal/arxiv
View SchemaDistilling multipartite pure states from a finite number of copies of multipartite mixed states
| Authors | Ping Xing Chen, Cheng Zu Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311095 |
| URL | https://arxiv.org/abs/quant-ph/0311095 |
| DOI | 10.1103/PhysRevA.69.012308 |
Abstract
This paper will address the question of the distillation of entanglement from a finite number of multi-partite mixed states. It is shown that if one can distill a pure entangled state from n copies of a mixed state $\sigma _{ABC...}$ there must be at least a subspace in whole Hilbert space of the all copies such that the projection of $\sigma_{ABC...}^{\otimes n}$ onto the subspace is a pure entangled state. We also show that the purification of entanglement or distillation of entanglement can be carried out by local joint projective measurements with the help of classical communication and local general positive operator valued measurements on a single particle, in principle. Finally we discuss experimental realizability of the entanglement purification.
{
"annotation_id": "7fcec27c-9a69-4a23-8133-7fb0ecfaf5d9",
"date_created": "2026-03-02T18:02:02.852000Z",
"date_modified": "2026-03-02T18:02:02.852000Z",
"file_hash": "e91efd5d179ca975a5401d323d6a291091d254643fdef7a377b3c38e98585875",
"private": false,
"record": {
"abstract": "This paper will address the question of the distillation of entanglement from\na finite number of multi-partite mixed states. It is shown that if one can\ndistill a pure entangled state from n copies of a mixed state $\\sigma\n_{ABC...}$ there must be at least a subspace in whole Hilbert space of the all\ncopies such that the projection of $\\sigma_{ABC...}^{\\otimes n}$ onto the\nsubspace is a pure entangled state. We also show that the purification of\nentanglement or distillation of entanglement can be carried out by local joint\nprojective measurements with the help of classical communication and local\ngeneral positive operator valued measurements on a single particle, in\nprinciple. Finally we discuss experimental realizability of the entanglement\npurification.",
"arxiv_id": "quant-ph/0311095",
"authors": [
"Ping Xing Chen",
"Cheng Zu Li"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.012308",
"title": "Distilling multipartite pure states from a finite number of copies of multipartite mixed states",
"url": "https://arxiv.org/abs/quant-ph/0311095"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e6f11e4d-b3c9-49ca-b951-7f014a4f8aad",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}