{
  "annotation_id": "b3f4f3b0-6e63-4707-adf8-36ad264712d0",
  "date_created": "2026-03-02T18:02:48.538000Z",
  "date_modified": "2026-03-02T18:02:48.538000Z",
  "file_hash": "8853a8c001c8e9f63b09fd7144d3b8b78c8cc8d0f74bbca9ac3e098342a474c1",
  "private": false,
  "record": {
    "abstract": "For pairs, omega, rho, of density operators on a finite dimensional Hilbert\nspace of dimension d I call k-fidelity the d - k smallest eigenvalues of |\nomega^1/2 rho^1/2 |. k-fidelities are jointly concave in omega, rho. This\nfollows by representing them as infima over linear functions. For k = 0 known\nproperties of fidelity and transition probability are reproduced. Partial\nfidelities characterize equivalence classes which are partially ordered in a\nnatural way.",
    "arxiv_id": "quant-ph/9912114",
    "authors": [
      "Armin Uhlmann"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0034-4877(00)80007-5",
    "journal_ref": "Rep. Math. Phys. 45, 407-418 (2000)",
    "title": "\"Partial\" Fidelities",
    "url": "https://arxiv.org/abs/quant-ph/9912114"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eec912c5-0ceb-40ef-8e90-a1b77a3a40b2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}