{
  "annotation_id": "053e2cee-0210-46fd-8cc4-1aab37d3b125",
  "date_created": "2026-03-02T18:01:52.483000Z",
  "date_modified": "2026-03-02T18:01:52.483000Z",
  "file_hash": "bb9df23d2ac44352a2aa69f29ad7d4a15ca234ec630010bac499fa7fb9254e49",
  "private": false,
  "record": {
    "abstract": "Recently, a new and powerful separability criterion was introduced in [O.\nRudolph, quant-ph/0202121] and [Chen {\\it et al.}, quant-ph/0205017]. Composing\nthe main idea behind the above criterion and the necessary and sufficient\ncondition in terms of positive maps, we provide a characterization of separable\nstates by means of linear contractions. The latter need not be positive maps.\nWe extend the idea to multipartite systems, and find that, somewhat\nsuprisingly, partial realigment (unlike partial transposition) can detect\ngenuinely triparite entanglement. We also show that for multipartite system any\npermutation of indices of density matrix leads to separability criterion.",
    "arxiv_id": "quant-ph/0206008",
    "authors": [
      "Michal Horodecki",
      "Pawel Horodecki",
      "Ryszard Horodecki"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Open Syst. Inf. Dyn. 13, 103 (2006)",
    "title": "Separability of mixed quantum states: linear contractions approach",
    "url": "https://arxiv.org/abs/quant-ph/0206008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e2861b28-52ab-499d-b746-f100636b9545",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}