{
  "annotation_id": "f5edcd10-aebc-43b2-b1bf-fb3cde7afaf7",
  "date_created": "2026-03-02T18:02:17.264000Z",
  "date_modified": "2026-03-02T18:02:17.264000Z",
  "file_hash": "1a0ee2f56b2b22c9289fd179d52e1509438791674310891c0c6b775b9626402e",
  "private": false,
  "record": {
    "abstract": "According to the Quantum de Finetti Theorem, locally normal infinite particle\nstates with Bose-Einstein symmetry can be represented as mixtures of infinite\ntensor powers of vector states. This note presents examples of\ninfinite-particle states with Bose-Einstein symmetry that arise as limits of\nGibbs ensembles on finite dimensional spaces, and displays their de Finetti\nrepresentations. We consider Gibbs ensembles for systems of bosons in a finite\ndimensional setting and discover limits as the number of particles tends to\ninfinity, provided the temperature is scaled in proportion to particle number.",
    "arxiv_id": "quant-ph/0506111",
    "authors": [
      "Alex D. Gottlieb"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10955-005-7005-2",
    "journal_ref": "Journal of Statistical Physics, 12: 497 - 509 (2005)",
    "title": "Examples of bosonic de Finetti states over finite dimensional Hilbert   spaces",
    "url": "https://arxiv.org/abs/quant-ph/0506111"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f9e36e97-f81e-4220-8a8a-df88f6305415",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}