{
  "annotation_id": "a960a586-a35d-4c7d-9b94-d4a984bf111e",
  "date_created": "2026-03-02T18:02:06.401000Z",
  "date_modified": "2026-03-02T18:02:06.401000Z",
  "file_hash": "e59dd58cfbb674d75612e959860424a4e8521c184e840ae809ff05e4cedc2e59",
  "private": false,
  "record": {
    "abstract": "In [Phys. Rev. A 70, 062101 (2004)] Gibbons et al. defined a class of\ndiscrete Wigner functions W to represent quantum states in a finite Hilbert\nspace dimension d. I characterize a set C_d of states having non-negative W\nsimultaneously in all definitions of W in this class. For d\u003c6 I show C_d is the\nconvex hull of stabilizer states. This supports the conjecture that negativity\nof W is necessary for exponential speedup in pure-state quantum computation.",
    "arxiv_id": "quant-ph/0405070",
    "authors": [
      "Ernesto F. Galvao"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.71.042302",
    "journal_ref": "Phys. Rev. A 71, 042302 (2005)",
    "title": "Discrete Wigner functions and quantum computational speedup",
    "url": "https://arxiv.org/abs/quant-ph/0405070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "54bcc565-caed-4a6e-b385-1c2bf4ebc963",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}