{
  "annotation_id": "4033fe65-0de2-4b37-a010-91fde62fba55",
  "date_created": "2026-03-02T18:02:20.776000Z",
  "date_modified": "2026-03-02T18:02:20.776000Z",
  "file_hash": "de9b6f7929a77ca93c5bb049add7161daeb6ae8949f6528484bc2423ace33079",
  "private": false,
  "record": {
    "abstract": "We provide necessary and sufficient conditions for the partial transposition\nof bipartite harmonic quantum states to be nonnegative. The conditions are\nformulated as an infinite series of inequalities for the moments of the state\nunder study. The violation of any inequality of this series is a sufficient\ncondition for entanglement. Previously known entanglement conditions are shown\nto be special cases of our approach.",
    "arxiv_id": "quant-ph/0508132",
    "authors": [
      "E. Shchukin",
      "W. Vogel"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.95.230502",
    "journal_ref": "Phys. Rev. Lett. 95, 230502 (2005)",
    "title": "Inseparability criteria for bipartite quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0508132"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aba07283-6b38-4227-813c-f98cdde3dce2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}