{
  "annotation_id": "5e953000-80d5-466f-9283-7f4419eabac8",
  "date_created": "2026-03-02T18:02:03.430000Z",
  "date_modified": "2026-03-02T18:02:03.430000Z",
  "file_hash": "214dd7de6d49f9c26c1facce150cc104908fa2a83124f3fa8416a16ee565fb45",
  "private": false,
  "record": {
    "abstract": "We study the relationship between Bell states, finite groups and complete\nsets of bases. We show how to obtain a set of N+1 bases in which Bell states\nare invariant.\n  They generalize the X, Y and Z qubit bases and are associated to groups of\nunitary transformations that generalize the sigma operators of Pauli. When the\ndimension N is a prime power, we derive (in agreement with well-known results)\na set of mutually unbiased bases. We show how they can be expressed in terms of\nthe (operations of the) associated finite field of N elements.",
    "arxiv_id": "quant-ph/0401046",
    "authors": [
      "Thomas Durt"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "If 1=2+3, then 1=2.3: Bell states, finite groups, and mutually unbiased   bases, a unifying approach",
    "url": "https://arxiv.org/abs/quant-ph/0401046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "341fdbf5-596c-4e26-955d-e755ea781696",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}