dorsal/arxiv
View SchemaUseful entanglement can be extracted from all nonseparable states
| Authors | Ll. Masanes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510188 |
| URL | https://arxiv.org/abs/quant-ph/0510188 |
| DOI | 10.1063/1.2837427 |
| Journal | J. Math. Phys. 49, 022102 (2008) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We consider entanglement distillation from a single-copy of a multipartite state, and instead of rates we analyze the "quality" of the distilled entanglement. This "quality" is quantified by the fidelity with the GHZ-state. We show that each not fully-separable state $\sigma$ can increase the "quality" of the entanglement distilled from other states, no matter how weakly entangled is $\sigma$. We also generalize this to the case where the goal is distilling states different than the GHZ. These results provide new insights on the geometry of the set of separable states and its dual (the set of entanglement witnesses).
{
"annotation_id": "d2d9c1df-dc0b-4387-afdc-ade0479bdfa2",
"date_created": "2026-03-02T18:02:20.024000Z",
"date_modified": "2026-03-02T18:02:20.024000Z",
"file_hash": "ff05bf7e1de63b71388fac83cb1fb7e93ee99c1e3844ab29588273367c475915",
"private": false,
"record": {
"abstract": "We consider entanglement distillation from a single-copy of a multipartite\nstate, and instead of rates we analyze the \"quality\" of the distilled\nentanglement. This \"quality\" is quantified by the fidelity with the GHZ-state.\nWe show that each not fully-separable state $\\sigma$ can increase the \"quality\"\nof the entanglement distilled from other states, no matter how weakly entangled\nis $\\sigma$. We also generalize this to the case where the goal is distilling\nstates different than the GHZ. These results provide new insights on the\ngeometry of the set of separable states and its dual (the set of entanglement\nwitnesses).",
"arxiv_id": "quant-ph/0510188",
"authors": [
"Ll. Masanes"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.2837427",
"journal_ref": "J. Math. Phys. 49, 022102 (2008)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Useful entanglement can be extracted from all nonseparable states",
"url": "https://arxiv.org/abs/quant-ph/0510188"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3b039240-a748-4dd1-9fd4-7a42ded96863",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}