dorsal/arxiv
View SchemaPurifying noisy entanglement requires collective measurements
| Authors | N. Linden, S. Massar, S. Popescu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805001 |
| URL | https://arxiv.org/abs/quant-ph/9805001 |
| DOI | 10.1103/PhysRevLett.81.3279 |
| Journal | Phys.Rev.Lett. 81 (1998) 3279-3282 |
Abstract
Known entanglement purification protocols for mixed states use collective measurements on several copies of the state in order to increase the entanglement of some of them. We address the question of whether it is possible to purify the entanglement of a state by processing each copy separately. While this is possible for pure states, we show that this is impossible, in general, for mixed states. The importance of this result both conceptually and for experimental realization of purification is discussed. We also give explicit invariants of an entangled state of two qubits under local actions and classical communication.
{
"annotation_id": "9fa16aa8-d682-4d8a-9ae0-812235cdf235",
"date_created": "2026-03-02T18:02:41.649000Z",
"date_modified": "2026-03-02T18:02:41.649000Z",
"file_hash": "9ae4a79681b928d8336166f2bc79813aecaa692d4b11ea068e51497e1a907d41",
"private": false,
"record": {
"abstract": "Known entanglement purification protocols for mixed states use collective\nmeasurements on several copies of the state in order to increase the\nentanglement of some of them. We address the question of whether it is possible\nto purify the entanglement of a state by processing each copy separately. While\nthis is possible for pure states, we show that this is impossible, in general,\nfor mixed states. The importance of this result both conceptually and for\nexperimental realization of purification is discussed. We also give explicit\ninvariants of an entangled state of two qubits under local actions and\nclassical communication.",
"arxiv_id": "quant-ph/9805001",
"authors": [
"N. Linden",
"S. Massar",
"S. Popescu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.81.3279",
"journal_ref": "Phys.Rev.Lett. 81 (1998) 3279-3282",
"title": "Purifying noisy entanglement requires collective measurements",
"url": "https://arxiv.org/abs/quant-ph/9805001"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "58726b9f-1b72-47e4-b89b-63f7ec4d8ead",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}