dorsal/arxiv
View SchemaLocking entanglement measures with a single qubit
| Authors | Karol Horodecki, Michal Horodecki, Pawel Horodecki, Jonathan Oppenheim |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404096 |
| URL | https://arxiv.org/abs/quant-ph/0404096 |
| DOI | 10.1103/PhysRevLett.94.200501 |
| Journal | Phys. Rev. Lett. 94, 200501 (2005) |
Abstract
We study the loss of entanglement of bipartite state subjected to discarding or measurement of one qubit. Examining the behavior of different entanglement measures, we find that entanglement of formation, entanglement cost, and logarithmic negativity are lockable measures in that it can decrease arbitrarily after measuring one qubit. We prove that any convex and asymptotically non-continuous measure is lockable. As a consequence, all the convex roof measures can be locked. Relative entropy of entanglement is shown to be a non-lockable measure.
{
"annotation_id": "dcf71b3b-2f3e-4106-b3d2-1fa70e67478e",
"date_created": "2026-03-02T18:02:06.080000Z",
"date_modified": "2026-03-02T18:02:06.080000Z",
"file_hash": "981d91886d975f6fd70551bb78419fe7468ae4269d333aa4472986090c551a81",
"private": false,
"record": {
"abstract": "We study the loss of entanglement of bipartite state subjected to discarding\nor measurement of one qubit. Examining the behavior of different entanglement\nmeasures, we find that entanglement of formation, entanglement cost, and\nlogarithmic negativity are lockable measures in that it can decrease\narbitrarily after measuring one qubit. We prove that any convex and\nasymptotically non-continuous measure is lockable. As a consequence, all the\nconvex roof measures can be locked. Relative entropy of entanglement is shown\nto be a non-lockable measure.",
"arxiv_id": "quant-ph/0404096",
"authors": [
"Karol Horodecki",
"Michal Horodecki",
"Pawel Horodecki",
"Jonathan Oppenheim"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.94.200501",
"journal_ref": "Phys. Rev. Lett. 94, 200501 (2005)",
"title": "Locking entanglement measures with a single qubit",
"url": "https://arxiv.org/abs/quant-ph/0404096"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4989fecb-5e2b-42d1-8f63-dc4f824b4d66",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}