{
  "annotation_id": "566c3e70-8cec-4fd8-809d-e29657b1603f",
  "date_created": "2026-03-02T18:02:27.232000Z",
  "date_modified": "2026-03-02T18:02:27.232000Z",
  "file_hash": "f8a59f904db2a5fc9eba07f62a68c2306ea4670f4458583f9482c27f1a2a334e",
  "private": false,
  "record": {
    "abstract": "We investigate which entanglement resources allow universal measurement-based\nquantum computation via single-qubit operations. We find that any entanglement\nfeature exhibited by the 2D cluster state must also be present in any other\nuniversal resource. We obtain a powerful criterion to assess universality of\ngraph states, by introducing an entanglement measure which necessarily grows\nunboundedly with the system size for all universal resource states.\nFurthermore, we prove that graph states associated with 2D lattices such as the\nhexagonal and triangular lattice are universal, and obtain the first example of\na universal non-graph state.",
    "arxiv_id": "quant-ph/0604010",
    "authors": [
      "Maarten Van den Nest",
      "Akimasa Miyake",
      "Wolfgang D\u00fcr",
      "Hans J. Briegel"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.97.150504",
    "journal_ref": "Phys. Rev. Lett. 97, 150504 (2006)",
    "title": "Universal resources for measurement-based quantum computation",
    "url": "https://arxiv.org/abs/quant-ph/0604010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1f1cf25c-25fe-43a7-9480-ba404bd06988",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}