{
  "annotation_id": "f7402163-c5c7-4e2e-b912-4050adcda20c",
  "date_created": "2026-03-02T18:02:03.644000Z",
  "date_modified": "2026-03-02T18:02:03.644000Z",
  "file_hash": "abbe0220504c0fe00d755caa37baadcd86948c31119de14b9fc12955bb36652e",
  "private": false,
  "record": {
    "abstract": "This article reviews and extends recent results concerning entanglement and\nfrustration in multipartite systems which have some symmetry with respect to\nthe ordering of the particles. Starting point of the discussion are Bell\ninequalities: their relation to frustration in classical systems and their\nsatisfaction for quantum states which have a symmetric extension. It is then\ndiscussed how more general global symmetries of multipartite systems constrain\nthe entanglement between two neighboring particles. We prove that maximal\nentanglement (measured in terms of the entanglement of formation) is always\nattained for the ground state of a certain nearest neighbor interaction\nHamiltonian having the considered symmetry with the achievable amount of\nentanglement being a function of the ground state energy. Systems of Gaussian\nstates, i.e. quantum harmonic oscillators, are investigated in more detail and\nthe results are compared to what is known about ordered qubit systems.",
    "arxiv_id": "quant-ph/0311051",
    "authors": [
      "M. M. Wolf",
      "F. Verstraete",
      "J. I. Cirac"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Int. Journal of Quantum Information 1, 465 (2003)",
    "title": "Entanglement and Frustration in Ordered Systems",
    "url": "https://arxiv.org/abs/quant-ph/0311051"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0d153309-345e-46dd-9ba2-db408e23471f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}