{
  "annotation_id": "96e64c30-95b0-47b4-b9cc-6eeda710a620",
  "date_created": "2026-03-02T18:02:40.453000Z",
  "date_modified": "2026-03-02T18:02:40.453000Z",
  "file_hash": "a19f280129ad92a667d3d4222b251a38ac3f3cc88aff41694dd3a76ab8e71401",
  "private": false,
  "record": {
    "abstract": "It is shown that any separable state on Hilbert space ${\\cal H}={\\cal\nH}_1\\otimes{\\cal H}_2$, can be written as a convex combination of N pure\nproduct states with $N\\leq (dim{\\cal H})^2$. Then a new separability criterion\nfor mixed states in terms of range of density matrix is obtained. It is used in\nconstruction of inseparable mixed states with positive partial transposition in\nthe case of $3\\times 3$ and $2\\times 4$ systems. The states represent an\nentanglement which is hidden in a more subtle way than it has been known so\nfar.",
    "arxiv_id": "quant-ph/9703004",
    "authors": [
      "Pawel Horodecki"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(97)00416-7",
    "journal_ref": "Phys.Lett. A232 (1997) 333",
    "title": "Separability criterion and inseparable mixed states with positive   partial transposition",
    "url": "https://arxiv.org/abs/quant-ph/9703004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f48063ab-0c72-4a50-86a6-e08b92259ef5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}