{
  "annotation_id": "b89afd22-27ae-43a5-995b-2a43fd38844e",
  "date_created": "2026-03-02T18:02:34.124000Z",
  "date_modified": "2026-03-02T18:02:34.124000Z",
  "file_hash": "deb66f154cbc36a976015f66cd667084095181776d880c2be90ddda2895fd2cd",
  "private": false,
  "record": {
    "abstract": "There has been much interest in so-called SIC-POVMs: rank 1 symmetric\ninformationally complete positive operator valued measures. In this paper we\ndiscuss the larger class of POVMs which are symmetric and informationally\ncomplete but not necessarily rank 1. This class of POVMs is of some independent\ninterest. In particular it includes a POVM which is closely related to the\ndiscrete Wigner function. However, it is interesting mainly because of the\nlight it casts on the problem of constructing rank 1 symmetric informationally\ncomplete POVMs. In this connection we derive an extremal condition alternative\nto the one derived by Renes et al.",
    "arxiv_id": "quant-ph/0611260",
    "authors": [
      "D. M. Appleby"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1134/S0030400X07090111",
    "title": "Symmetric Informationally Complete Measurements of Arbitrary Rank",
    "url": "https://arxiv.org/abs/quant-ph/0611260"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6db3781-34e3-4988-ae93-ce6e4085a697",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}