{
  "annotation_id": "44dfb320-142c-4947-8d93-43abb012658f",
  "date_created": "2026-03-02T18:02:27.233000Z",
  "date_modified": "2026-03-02T18:02:27.233000Z",
  "file_hash": "60ad6473f9742ed5b923a3aee2ac753a939c3060728ecbd645fbda1601a68dfa",
  "private": false,
  "record": {
    "abstract": "The tomographic description of a quantum state is formulated in an abstract\ninfinite dimensional Hilbert space framework, the space of the Hilbert-Schmidt\nlinear operators, with trace formula as scalar product. Resolutions of the\nunity, written in terms of over-complete sets of rank-one projectors and of\nassociated Gram-Schmidt operators taking into account their non-orthogonality,\nare then used to reconstruct a quantum state from its tomograms. Examples of\nwell known tomographic descriptions illustrate the exposed theory.",
    "arxiv_id": "quant-ph/0604039",
    "authors": [
      "V. I. Man\u0027ko",
      "G. Marmo",
      "A. Simoni",
      "F. Ventriglia"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Tomography in abstract Hilbert spaces",
    "url": "https://arxiv.org/abs/quant-ph/0604039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "216f9eeb-a0bb-4b4f-9f89-04628b0bda90",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}