{
  "annotation_id": "cbad3c30-ff4d-4fb4-ad29-76def8c251e5",
  "date_created": "2026-03-02T18:02:38.191000Z",
  "date_modified": "2026-03-02T18:02:38.191000Z",
  "file_hash": "c912ea358b44d677bbb499209a3cff5451bfd008f5e27c9ec15783df6c9cc963",
  "private": false,
  "record": {
    "abstract": "We introduce a graphical representation of stabilizer states and translate\nthe action of Clifford operators on stabilizer states into graph operations on\nthe corresponding stabilizer-state graphs. Our stabilizer graphs are\nconstructed of solid and hollow nodes, with (undirected) edges between nodes\nand with loops and signs attached to individual nodes. We find that local\nClifford transformations are completely described in terms of local\ncomplementation on nodes and along edges, loop complementation, and change of\nnode type or sign. Additionally, we show that a small set of equivalence rules\ngenerates all graphs corresponding to a given stabilizer state; we do this by\nconstructing an efficient procedure for testing the equality of any two\nstabilizer graphs.",
    "arxiv_id": "quant-ph/0703278",
    "authors": [
      "Matthew B. Elliott",
      "Bryan Eastin",
      "Carlton M. Caves"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.77.042307",
    "journal_ref": "Phys. Rev. A 77, 042307 (2008)",
    "title": "Graphical description of the action of Clifford operators on stabilizer   states",
    "url": "https://arxiv.org/abs/quant-ph/0703278"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0d9a67cf-72ef-4400-84cf-bd61b72365d0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}