{
  "annotation_id": "5477f91d-24dc-4374-aa2b-120f2a0ce531",
  "date_created": "2026-03-02T18:02:16.598000Z",
  "date_modified": "2026-03-02T18:02:16.598000Z",
  "file_hash": "48a62d096846c6ffbfdf2a6262cf8d4de3857c60f56d0a9c2db650bd0e1601dc",
  "private": false,
  "record": {
    "abstract": "Given a finite group G with a bilocal representation, we investigate the\nbipartite entanglement in the state constructed from the group algebra of G\nacting on a separable reference state. We find an upper bound for the von\nNeumann entropy for a bipartition (A,B) of a quantum system and conditions to\nsaturate it. We show that these states can be interpreted as ground states of\ngeneric Hamiltonians or as the physical states in a quantum gauge theory and\nthat under specific conditions their geometric entropy satisfies the entropic\narea law. If G is a group of spin flips acting on a set of qubits, these states\nare locally equivalent to 2-colorable (i.e., bipartite) graph states and they\ninclude GHZ, cluster states etc. Examples include an application to qudits and\na calculation of the n-tangle for 2-colorable graph states.",
    "arxiv_id": "quant-ph/0504049",
    "authors": [
      "Alioscia Hamma",
      "Radu Ionicioiu",
      "Paolo Zanardi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.012324",
    "journal_ref": "Phys.Rev. A 72, 012324 (2005)",
    "title": "Quantum entanglement in states generated by bilocal group algebras",
    "url": "https://arxiv.org/abs/quant-ph/0504049"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "df07701b-a5e8-4d42-8d89-c62aabfc7201",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}