{
  "annotation_id": "787105d9-cbe6-4955-886f-db55927902e2",
  "date_created": "2026-03-02T18:02:20.707000Z",
  "date_modified": "2026-03-02T18:02:20.707000Z",
  "file_hash": "f1f5af14c252600dfa8285e258160bc6db5151832e6aeb1b17eb7c1de5ad4b11",
  "private": false,
  "record": {
    "abstract": "The mechanism of describing quantum states by standard probability\n(tomographic one) instead of wave function or density matrix is elucidated.\nQuantum tomography is formulated in an abstract Hilbert space framework, by\nmeans of the identity decompositions in the Hilbert space of hermitian linear\noperators, with trace formula as scalar product of operators. Decompositions of\nidentity are considered with respect to over-complete families of projectors\nlabeled by extra parameters and containing a measure, depending on these\nparameters. It plays the role of a Gram-Schmidt orthonormalization kernel. When\nthe measure is equal to one, the decomposition of identity coincides with a\npositive operator valued measure (POVM) decomposition. Examples of spin\ntomography, photon number tomography and symplectic tomography are reconsidered\nin this new framework.",
    "arxiv_id": "quant-ph/0510156",
    "authors": [
      "V. I. Man\u0027ko",
      "G. Marmo",
      "A. Simoni",
      "A. Stern",
      "E. C. G. Sudarshan",
      "F. Ventriglia"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2005.10.063",
    "journal_ref": "Phys.Lett.A351:1-12,2006",
    "title": "On the meaning and interpretation of Tomography in abstract Hilbert   spaces",
    "url": "https://arxiv.org/abs/quant-ph/0510156"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "019b9f4f-aa52-4876-98c4-5e490cb44a09",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}