{
  "annotation_id": "bfc3e89f-bb48-4df0-9bce-cbe3f9e22cf3",
  "date_created": "2026-03-02T18:02:13.267000Z",
  "date_modified": "2026-03-02T18:02:13.267000Z",
  "file_hash": "dde91a6a3d10e2bb27c6cd899cae27282ad7c5d09e3a0dd97b1690dc3a20fa54",
  "private": false,
  "record": {
    "abstract": "Given stabilizer operations and the ability to repeatedly prepare a\nsingle-qubit mixed state rho, can we do universal quantum computation? As\nmotivation for this question, \"magic state\" distillation procedures can reduce\nthe general fault-tolerance problem to that of performing fault-tolerant\nstabilizer circuits.\n  We improve the procedures of Bravyi and Kitaev in the Hadamard \"magic\"\ndirection of the Bloch sphere to achieve a sharp threshold between those rho\nallowing universal quantum computation, and those for which any calculation can\nbe efficiently classically simulated. As a corollary, the ability to repeatedly\nprepare any pure state which is not a stabilizer state (e.g., any single-qubit\npure state which is not a Pauli eigenstate), together with stabilizer\noperations, gives quantum universality. It remains open whether there is also a\ntight separation in the so-called T direction.",
    "arxiv_id": "quant-ph/0411036",
    "authors": [
      "Ben W. Reichardt"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s11128-005-7654-8",
    "journal_ref": "Quant. Inf. Proc. 4:251-264 (2005)",
    "title": "Improved magic states distillation for quantum universality",
    "url": "https://arxiv.org/abs/quant-ph/0411036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "17cd9af6-2499-46ec-a52c-c83090bc14de",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}