{
  "annotation_id": "24c28bae-3271-4774-b4f4-6861d9022d35",
  "date_created": "2026-03-02T18:01:59.798000Z",
  "date_modified": "2026-03-02T18:01:59.798000Z",
  "file_hash": "1e221ffd3c586c59ef0672c3b044d70ddd8e2a712c74a76415a9a9bc8d76afe7",
  "private": false,
  "record": {
    "abstract": "We construct entangled states with positive partial transposes using\nindecomposable positive linear maps between matrix algebras. We also exhibit\nconcrete examples of entangled states with positive partial transposes arising\nin this way, and show that they generate extreme rays in the cone of all\npositive semi-definite matrices with positive partial transposes. They also\nhave Schmidt numbers two.",
    "arxiv_id": "quant-ph/0305005",
    "authors": [
      "Kil-Chan Ha",
      "Seung-Hyeok Kye",
      "Young Sung Park"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(03)00733-3",
    "journal_ref": "Physics Letters A, vol.313, no.3, pp.163-174 (2003)",
    "title": "Entangled states with positive partial transpose arising from   indecomposable positive linear maps",
    "url": "https://arxiv.org/abs/quant-ph/0305005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "84646a53-9809-426e-a088-17865557a56c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}