{
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  "date_created": "2026-03-02T18:01:52.617000Z",
  "date_modified": "2026-03-02T18:01:52.617000Z",
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  "record": {
    "abstract": "In this paper we study a one-dimensional quantum random walk with the\nHadamard transformation which is often called the Hadamard walk. We construct\nthe Hadamard walk using a transition matrix on probability amplitude and give\nsome results on symmetry of probability distributions for the Hadamard walk.",
    "arxiv_id": "quant-ph/0205065",
    "authors": [
      "Norio Konno",
      "Takao Namiki",
      "Takahiro Soshi"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Interdisciplinary Information Sciences, Vol.10, No.1, pp.11-22\n  (2004)",
    "title": "Symmetry of distribution for the one-dimensional Hadamard walk",
    "url": "https://arxiv.org/abs/quant-ph/0205065"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd3b5ac1-cc56-432c-8867-088b3314b6af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}