{
  "annotation_id": "de6f046f-6595-44c0-8276-2db1d795982d",
  "date_created": "2026-03-02T18:01:55.729000Z",
  "date_modified": "2026-03-02T18:01:55.729000Z",
  "file_hash": "c292c8d0d955a305a1ad239501049b4d51e9d335e5a33a687cab6540c8be70e0",
  "private": false,
  "record": {
    "abstract": "Quantum entanglement in multipartite systems cannot be shared freely. In\norder to illuminate basic rules of entanglement sharing between qubits we\nintroduce a concept of an entangled structure (graph) such that each qubit of a\nmultipartite system is associated with a point (vertex) while a bi-partite\nentanglement between two specific qubits is represented by a connection (edge)\nbetween these points. We prove that any such entangled structure can be\nassociated with a pure state of a multi-qubit system. Moreover, we show that a\npure state corresponding to a given entangled structure is a superposition of\nvectors from a subspace of the $2^N$-dimensional Hilbert space, whose dimension\ngrows linearly with the number of entangled pairs.",
    "arxiv_id": "quant-ph/0211020",
    "authors": [
      "Martin Plesch",
      "Vladimir Buzek"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.012322",
    "journal_ref": "Phys. Rev. A 67, 012322-1--6 (2003).",
    "title": "Entangled graphs: Bipartite entanglement in multi-qubit systems",
    "url": "https://arxiv.org/abs/quant-ph/0211020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8cba9794-9d42-4020-a540-b077520192a6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}