{
  "annotation_id": "7e8d48dd-bba4-45c0-b647-aa360409af61",
  "date_created": "2026-03-02T18:01:49.316000Z",
  "date_modified": "2026-03-02T18:01:49.316000Z",
  "file_hash": "3bba61e872e09bb711ecdac1f50a5e92fb912e1b7ac6dd572611269e96d29359",
  "private": false,
  "record": {
    "abstract": "We show how to design families of operational criteria that distinguish\nentangled from separable quantum states. The simplest of these tests\ncorresponds to the well-known Peres-Horodecki positive partial transpose (PPT)\ncriterion, and the more complicated tests are strictly stronger. The new\ncriteria are tractable due to powerful computational and theoretical methods\nfor the class of convex optimization problems known as semidefinite programs.\nWe successfully applied the results to many low-dimensional states from the\nliterature where the PPT test fails. As a byproduct of the criteria, we provide\nan explicit construction of the corresponding entanglement witnesses.",
    "arxiv_id": "quant-ph/0112007",
    "authors": [
      "Andrew C. Doherty",
      "Pablo A. Parrilo",
      "Federico M. Spedalieri"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.88.187904",
    "journal_ref": "Physical Review Letters, Vol. 88, No. 18, 187904, 2002.",
    "title": "Distinguishing separable and entangled states",
    "url": "https://arxiv.org/abs/quant-ph/0112007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b1272f04-3a55-429b-984c-5b8c29c26c25",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}