{
  "annotation_id": "4a3fda5b-c3e8-42d1-9c69-15b7f8448d37",
  "date_created": "2026-03-02T18:02:37.760000Z",
  "date_modified": "2026-03-02T18:02:37.760000Z",
  "file_hash": "2d99fa300189a3ba141606c720a9180ab6e1d2cb16d084ce72c86fa01b3071ed",
  "private": false,
  "record": {
    "abstract": "A quantum system consisting of two subsystems is separable if its density\nmatrix can be written as $\\rho=\\sum_A w_A\\,\\rho_A\u0027\\otimes\\rho_A\u0027\u0027$, where\n$\\rho_A\u0027$ and $\\rho_A\u0027\u0027$ are density matrices for the two subsytems. In this\nLetter, it is shown that a necessary condition for separability is that a\nmatrix, obtained by partial transposition of $\\rho$, has only non-negative\neigenvalues. This criterion is stronger than Bell\u0027s inequality.",
    "arxiv_id": "quant-ph/9604005",
    "authors": [
      "Asher Peres"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.77.1413",
    "journal_ref": "Phys.Rev.Lett.77:1413-1415,1996",
    "title": "Separability Criterion for Density Matrices",
    "url": "https://arxiv.org/abs/quant-ph/9604005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6630e5ff-0813-453a-8fd6-1a320c222fc0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}