{
  "annotation_id": "9526e2c1-c4ef-4a42-900a-b10f12b39e88",
  "date_created": "2026-03-02T18:02:13.830000Z",
  "date_modified": "2026-03-02T18:02:13.830000Z",
  "file_hash": "77eb46c48043063bce7c5b3dc99365643ecaedf16f629889635cb12b19cedbdd",
  "private": false,
  "record": {
    "abstract": "We investigate how stabilizer theory can be used for constructing sufficient\nconditions for entanglement. First, we show how entanglement witnesses can be\nderived for a given state, provided some stabilizing operators of the state are\nknown. These witnesses require only a small effort for an experimental\nimplementation and are robust against noise. Second, we demonstrate that also\nnonlinear criteria based on uncertainty relations can be derived from\nstabilizing operators. These criteria can sometimes improve the witnesses by\nadding nonlinear correction terms. All our criteria detect states close to\nGreenberger-Horne-Zeilinger states, cluster and graph states. We show that\nsimilar ideas can be used to derive entanglement conditions for states which do\nnot fit the stabilizer formalism, such as the three-qubit W state. We also\ndiscuss connections between the witnesses and some Bell inequalities.",
    "arxiv_id": "quant-ph/0501020",
    "authors": [
      "Geza Toth",
      "Otfried Guehne"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.022340",
    "journal_ref": "Physical Review A 72, 022340 (2005)",
    "title": "Entanglement Detection in the Stabilizer Formalism",
    "url": "https://arxiv.org/abs/quant-ph/0501020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "05e39e3f-ad64-4a6d-9b8a-af624ca564c7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}