{
  "annotation_id": "862b7a35-e427-49fd-a12b-3065ec5f6dea",
  "date_created": "2026-03-02T18:02:10.296000Z",
  "date_modified": "2026-03-02T18:02:10.296000Z",
  "file_hash": "b67166bd8a233631a4967a0c6f7064b588ac15cd9f8bfe51c67eced50d50395a",
  "private": false,
  "record": {
    "abstract": "I construct a POVM which has 2d rank-one elements and which is\ninformationally complete for generic pure states in d dimensions, thus\nconfirming a conjecture made by Flammia, Silberfarb, and Caves\n(quant-ph/0404137). I show that if a rank-one POVM is required to be\ninformationally complete for all pure states in d dimensions, it must have at\nleast 3d-2 elements. I also show that, in a POVM which is informationally\ncomplete for all pure states in d dimensions, for any vector there must be at\nleast 2d-1 POVM elements which do not annihilate that vector.",
    "arxiv_id": "quant-ph/0407078",
    "authors": [
      "J. Finkelstein"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.052107",
    "journal_ref": "Phys. Rev. A 70, 052107 (2004).",
    "title": "On PSI-complete and PSIR-complete measurements",
    "url": "https://arxiv.org/abs/quant-ph/0407078"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "94e778c9-cc6b-43fa-b611-ecdae432964a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}