dorsal/arxiv
View SchemaStrong monotonicity in mixed-state entanglement manipulation
| Authors | Satoshi Ishizaka |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603162 |
| URL | https://arxiv.org/abs/quant-ph/0603162 |
| DOI | 10.1103/PhysRevA.73.062308 |
| Journal | Phys. Rev. A 73, 062308 (2006) |
Abstract
A strong entanglement monotone, which never increases under local operations and classical communications (LOCC), restricts quantum entanglement manipulation more strongly than the usual monotone since the usual one does not increase on average under LOCC. We propose new strong monotones in mixed-state entanglement manipulation under LOCC. These are related to the decomposability and 1-positivity of an operator constructed from a quantum state, and reveal geometrical characteristics of entangled states. These are lower bounded by the negativity or generalized robustness of entanglement.
{
"annotation_id": "1209ea61-8a66-4b07-9af3-bbcaec8812cb",
"date_created": "2026-03-02T18:02:23.902000Z",
"date_modified": "2026-03-02T18:02:23.902000Z",
"file_hash": "677733bab64ba3313d339d7b70093f8d4867f28d49c67a3f0b219a2583215502",
"private": false,
"record": {
"abstract": "A strong entanglement monotone, which never increases under local operations\nand classical communications (LOCC), restricts quantum entanglement\nmanipulation more strongly than the usual monotone since the usual one does not\nincrease on average under LOCC. We propose new strong monotones in mixed-state\nentanglement manipulation under LOCC. These are related to the decomposability\nand 1-positivity of an operator constructed from a quantum state, and reveal\ngeometrical characteristics of entangled states. These are lower bounded by the\nnegativity or generalized robustness of entanglement.",
"arxiv_id": "quant-ph/0603162",
"authors": [
"Satoshi Ishizaka"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.062308",
"journal_ref": "Phys. Rev. A 73, 062308 (2006)",
"title": "Strong monotonicity in mixed-state entanglement manipulation",
"url": "https://arxiv.org/abs/quant-ph/0603162"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b71aca8f-0ca2-4051-8a9b-6606e32bdb17",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}