{
  "annotation_id": "1e8ddcae-3cd4-4101-b9ef-6537f7c40ff0",
  "date_created": "2026-03-02T18:02:30.280000Z",
  "date_modified": "2026-03-02T18:02:30.280000Z",
  "file_hash": "ad7a1e7610699500c9a7ebfbdf18dcdce7c43555be1961179c270ac96cf8c868",
  "private": false,
  "record": {
    "abstract": "Graph states are well-entangled quantum states that are defined based on a\ngraph. Of course, if two graphs are isomorphic their associated states are the\nsame. Also, we know local operations do not change the entanglement of quantum\nstates. Therefore, graph states that are either isomorphic or equivalent under\nthe local Clifford group have the same properties. In this paper, we first\nestablish a bound on the number of graph states which are neither isomorphic\nnor equivalent under the action of local Clifford group.\n  Also, we study graph states in non-binary case. We translate the action of\nlocal Clifford group, as well as measurement of Pauli operators, into\ntransformations on their associated graphs.\n  Finally, we present an efficient algorithm to verify whether two graph\nstates, in non-binary case, are locally equivalent or not.",
    "arxiv_id": "quant-ph/0610267",
    "authors": [
      "Mohsen Bahramgiri",
      "Salman Beigi"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Graph States Under the Action of Local Clifford Group in Non-Binary Case",
    "url": "https://arxiv.org/abs/quant-ph/0610267"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3bcd11e4-3759-486d-8734-5a508d2fcb87",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}