{
  "annotation_id": "b9b667b9-1ea1-48eb-8d41-d9dbb37c7563",
  "date_created": "2026-03-02T18:02:34.238000Z",
  "date_modified": "2026-03-02T18:02:34.238000Z",
  "file_hash": "b339f09db43b7f060833bd1e63daf2c76b646d9eaaf0f1d075a9f2ec1e49bdc5",
  "private": false,
  "record": {
    "abstract": "A t-design for quantum states is a finite set of quantum states with the\nproperty of simulating the Haar-measure on quantum states, w.r.t. any test that\nuses at most t copies of a state. We give efficient constructions for\napproximate quantum t-designs for arbitrary t. We then show that an approximate\n4-design provides a derandomization of the state-distinction problem considered\nby Sen (quant-ph/0512085), which is relevant to solving certain instances of\nthe hidden subgroup problem.",
    "arxiv_id": "quant-ph/0701126",
    "authors": [
      "Andris Ambainis",
      "Joseph Emerson"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum t-designs: t-wise independence in the quantum world",
    "url": "https://arxiv.org/abs/quant-ph/0701126"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "91e93426-3ae8-47f6-b711-c50af40289a0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}