{
  "annotation_id": "e995bb26-d0b3-4fa9-9d9f-7d2b5c6c0de1",
  "date_created": "2026-03-02T18:01:52.297000Z",
  "date_modified": "2026-03-02T18:01:52.297000Z",
  "file_hash": "9a1d90c63066cee66f66c8bcecfdefb8ea3bf343e0e67a25839d27adfdd029b3",
  "private": false,
  "record": {
    "abstract": "A given density matrix may be represented in many ways as a mixture of pure\nstates. We show how any density matrix may be realized as a uniform ensemble.\nIt has been conjectured that one may realize all probability distributions that\nare majorized by the vector of eigenvalues of the density matrix. We show that\nif the states in the ensemble are assumed to be distinct then it is not true,\nbut a marginally weaker statement may still be true.",
    "arxiv_id": "quant-ph/0206169",
    "authors": [
      "Ingemar Bengtsson",
      "Asa Ericsson"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.012107",
    "journal_ref": "Phys. Rev. A 67, 012107 (2003)",
    "title": "How to mix a density matrix",
    "url": "https://arxiv.org/abs/quant-ph/0206169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c6c77426-6df5-4328-b5f0-d6a2dca943e0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}