{
  "annotation_id": "482b8745-053a-4c39-a19d-6d4ea1b2f24b",
  "date_created": "2026-03-02T18:02:03.521000Z",
  "date_modified": "2026-03-02T18:02:03.521000Z",
  "file_hash": "254338f9f3782973b06e29695962653618f48ce652c64637462b8dd511ebfa6c",
  "private": false,
  "record": {
    "abstract": "We present a necessary and sufficient condition for three qutrit density\nmatrices to be the one-particle reduced density matrices of a pure three-qutrit\nquantum state. The condition consists of seven classes of inequalities\nsatisfied by the eigenvalues of these matrices. One of them is a generalization\nof a known inequality for the qubit case. Some of these inequalities are proved\nalgebraically whereas the proof of the others uses the fact that a continuous\nfunction of the state must have a minimum. Construction of states satisfying\nthese inequalities relies on a representation of the convex set of the allowed\nset of eigenvalues in terms of corner points. We also present a result for a\nmore general quantum system concerning the nature of the boundary surface of\nthe set of the allowed set of eigenvalues.",
    "arxiv_id": "quant-ph/0309186",
    "authors": [
      "Atsushi Higuchi"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On the one-particle reduced density matrices of a pure three-qutrit   quantum state",
    "url": "https://arxiv.org/abs/quant-ph/0309186"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "148591c3-880c-42f0-9681-8d236b9f9478",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}