{
  "annotation_id": "6d47fcc3-3140-40d3-b7f2-2e7b136fa1f0",
  "date_created": "2026-03-02T18:01:59.329000Z",
  "date_modified": "2026-03-02T18:01:59.329000Z",
  "file_hash": "1986fc2a34883cd4c3cdf9a53fbc4f086c5ab2f4c7ddd2c47abdc17729956dc6",
  "private": false,
  "record": {
    "abstract": "We prove a rigorous inequality estimating the purity of a reduced density\nmatrix of a composite quantum system in terms of cross-correlation of the same\nstate and an arbitrary product state. Various immediate applications of our\nresult are proposed, in particular concerning Gaussian wave-packet propagation\nunder classically regular dynamics.",
    "arxiv_id": "quant-ph/0304103",
    "authors": [
      "Tomaz Prosen",
      "Thomas H. Seligman",
      "Marko Znidaric"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.062108",
    "journal_ref": "Phys.Rev. A 67 062108 (2003)",
    "title": "Estimating purity in terms of correlation functions",
    "url": "https://arxiv.org/abs/quant-ph/0304103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "005ee6f7-2c10-4807-b34b-5a70a32acaa0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}