{
  "annotation_id": "206944d3-bacf-44aa-b0ef-13bb01712a50",
  "date_created": "2026-03-02T18:02:16.736000Z",
  "date_modified": "2026-03-02T18:02:16.736000Z",
  "file_hash": "ea7d6a2d552cd174223aaf7427e2be2b37ebbcad0e4ffb47a27f357095a0b68b",
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  "record": {
    "abstract": "The group of local unitary transformations acts on the space of n-qubit pure\nstates, decomposing it into orbits. In a previous paper we proved that a\nproduct of singlet states (together with an unentangled qubit for a system with\nan odd number of qubits) achieves the smallest possible orbit dimension, equal\nto 3n/2 for n even and (3n + 1)/2 for n odd, where n is the number of qubits.\nIn this paper we show that any state with minimum orbit dimension must be of\nthis form, and furthermore, such states are classified up to local unitary\nequivalence by the sets of pairs of qubits entangled in singlets.",
    "arxiv_id": "quant-ph/0506241",
    "authors": [
      "David W. Lyons",
      "Scott N. Walck"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/10/013",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 2443-2456",
    "title": "Classification of n-qubit states with minimum orbit dimension",
    "url": "https://arxiv.org/abs/quant-ph/0506241"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1b78c9a2-9521-47fc-a7eb-27bb03d62b15",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}