{
  "annotation_id": "88c161b3-a493-4cc5-97d7-fa57a1b96f22",
  "date_created": "2026-03-02T18:02:16.024000Z",
  "date_modified": "2026-03-02T18:02:16.024000Z",
  "file_hash": "3f8ccc7de05dba61486407ac3d5698a14229473565d8488dd25a74add39d568e",
  "private": false,
  "record": {
    "abstract": "We obtain the most general ensemble of qubits, for which it is possible to\ndesign a universal Hadamard gate. These states when geometrically represented\non the Bloch sphere, give a new trajectory. We further consider some Hadamard\n`type\u0027 of operations and find ensembles of states for which such\ntransformations hold. Unequal superposition of a qubit and its orthogonal\ncomplement is also investigated.",
    "arxiv_id": "quant-ph/0505068",
    "authors": [
      "Arpita Maitra",
      "Preeti Parashar"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Hadamard type operations for qubits",
    "url": "https://arxiv.org/abs/quant-ph/0505068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5d170d71-c8ff-47e9-93d8-ae5e8ec2d088",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}