{
  "annotation_id": "d5cb101a-ab1d-4394-be75-64d39b1a0adb",
  "date_created": "2026-03-02T18:02:37.943000Z",
  "date_modified": "2026-03-02T18:02:37.943000Z",
  "file_hash": "c86f31fdc93bdd9849aee51381bb0468a3e88f6e779d04b48d50ef846b1e6be4",
  "private": false,
  "record": {
    "abstract": "We provide necessary and sufficient conditions for separability of mixed\nstates. As a result we obtain a simple criterion of separability for $2\\times2$\nand $2\\times3$ systems. Here, the positivity of the partial transposition of a\nstate is necessary and sufficient for its separability. However, it is not the\ncase in general. Some examples of mixtures which demonstrate the utility of the\ncriterion are considered.",
    "arxiv_id": "quant-ph/9605038",
    "authors": [
      "Michal Horodecki",
      "Pawel Horodecki",
      "Ryszard Horodecki"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(96)00706-2",
    "title": "Separability of Mixed States: Necessary and Sufficient Conditions",
    "url": "https://arxiv.org/abs/quant-ph/9605038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2bc027bc-38a5-4510-b484-3782c24c3202",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}