{
  "annotation_id": "a38c347b-4d84-4df1-9663-80bd9a767500",
  "date_created": "2026-03-02T18:01:59.969000Z",
  "date_modified": "2026-03-02T18:01:59.969000Z",
  "file_hash": "f3ae4c2f3d1f2e358947f66895095be01d2f2ce58cab06f49c38549ebbae7cad",
  "private": false,
  "record": {
    "abstract": "We derive a family of necessary separability criteria for finite-dimensional\nsystems based on inequalities for variances of observables. We show that every\npure bipartite entangled state violates some of these inequalities.\nFurthermore, a family of bound entangled states and true multipartite entangled\nstates can be detected. The inequalities also allow to distinguish between\ndifferent classes of true tripartite entanglement for qubits. We formulate an\nequivalent criterion in terms of covariance matrices. This allows us to apply\ncriteria known from the regime of continuous variables to finite-dimensional\nsystems.",
    "arxiv_id": "quant-ph/0306194",
    "authors": [
      "Otfried Guehne"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.92.117903",
    "journal_ref": "Phys. Rev. Lett. 92, 117903 (2004)",
    "title": "Characterizing Entanglement via Uncertainty Relations",
    "url": "https://arxiv.org/abs/quant-ph/0306194"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "28ad6a85-809b-486d-b2a5-2950ec23ecdb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}