{
  "annotation_id": "712972aa-873f-43bc-aa8b-0a5930ffc147",
  "date_created": "2026-03-02T18:02:30.814000Z",
  "date_modified": "2026-03-02T18:02:30.814000Z",
  "file_hash": "a8c2aeaa99b0e430e5802336fdfc8ffa935761403d047a515bdf77b83e9c614c",
  "private": false,
  "record": {
    "abstract": "We investigate the properties of different levels of entanglement in graph\nstates which correspond to connected graphs. Combining the operational\ndefinition of graph states and the postulates of entanglement measures, we\nprove that in connected graph states of N\u003e3 qubits there is no genuine\nthree-qubit entanglement. For certain classes of graph states, all genuine\nk-qubit entanglement, 2\\leq k\\leq N-1, among every k qubits vanishes. These\nresults about connected graph states naturally lead to the definition of fully\nmulti-qubit entangled states. We also find that the connected graph states of\nfour qubits is one but not the only one class of fully four-qubit entangled\nstates.",
    "arxiv_id": "quant-ph/0609186",
    "authors": [
      "Jian-Ming Cai",
      "Zheng-Wei Zhou",
      "Guang-Can Guo"
    ],
    "categories": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Fully multi-qubit entangled states",
    "url": "https://arxiv.org/abs/quant-ph/0609186"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f4649dc2-e168-46c8-9232-b9b0ee356a0b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}