{
  "annotation_id": "3071c242-9002-4863-93e5-2f7b452d07f6",
  "date_created": "2026-03-02T18:02:27.560000Z",
  "date_modified": "2026-03-02T18:02:27.560000Z",
  "file_hash": "61867eb579a9e6f28e814ed22181c5e6e334bed4244a5eb641e3a330716f591e",
  "private": false,
  "record": {
    "abstract": "We introduce a class of informationally complete positive-operator-valued\nmeasures which are, in analogy with a tight frame, \"as close as possible\" to\northonormal bases for the space of quantum states. These measures are\ndistinguished by an exceptionally simple state-reconstruction formula which\nallows \"painless\" quantum state tomography. Complete sets of mutually unbiased\nbases and symmetric informationally complete positive-operator-valued measures\nare both members of this class, the latter being the unique minimal rank-one\nmembers. Recast as ensembles of pure quantum states, the rank-one members are\nin fact equivalent to weighted 2-designs in complex projective space. These\nmeasures are shown to be optimal for quantum cloning and linear quantum state\ntomography.",
    "arxiv_id": "quant-ph/0604049",
    "authors": [
      "A. J. Scott"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/43/009",
    "journal_ref": "J. Phys. A 39, 13507 (2006)",
    "title": "Tight informationally complete quantum measurements",
    "url": "https://arxiv.org/abs/quant-ph/0604049"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b7ce35d3-3a07-49c8-b136-ad803769213e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}