{
  "annotation_id": "52899a4f-a50b-4925-aebc-1c13e483fd82",
  "date_created": "2026-03-02T18:01:39.265000Z",
  "date_modified": "2026-03-02T18:01:39.265000Z",
  "file_hash": "5ef7547d9ed648c95901c805cad9658e2625d128079ad023885f173e0b34fbd4",
  "private": false,
  "record": {
    "abstract": "We provide a group-theoretical classification of the entangled states of N\nidentical particles. The connection between quantum entanglement and the\nexchange symmetry of the states of N identical particles is made explicit using\nthe duality between the permutation group and the simple unitary group. Each\nparticle has n-levels and spans the n-dimensional Hilbert space. We shall call\nthe general state of the particle as a qunit. The direct product of the N qunit\nspace is given a decomposition in terms of states with definite permutation\nsymmetry. The nature of fundamental entanglement of a state can be related to\nthe classes of partitions of the integer N. The maximally entangled states are\ngenerated from linear combinations of the less entangled states of the direct\nproduct space. We also discuss the nature of maximal entanglement and its\nmeasures.",
    "arxiv_id": "quant-ph/0006107",
    "authors": [
      "Suranjana Rai",
      "Jagdish Rai"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Group-theoretical Structure of the Entangled States of N Identical   Particles",
    "url": "https://arxiv.org/abs/quant-ph/0006107"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7fbaac55-2720-4aa0-bd7c-3d981121f294",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}