{
  "annotation_id": "6ac02f23-c2aa-4006-a943-63b80076d8c2",
  "date_created": "2026-03-02T18:02:23.948000Z",
  "date_modified": "2026-03-02T18:02:23.948000Z",
  "file_hash": "3f2fd094d60d92394c08566ca28b0ffc1391e905ccec88db11b81e24ea49cf87",
  "private": false,
  "record": {
    "abstract": "Complex Hadamard matrices, consisting of unimodular entries with arbitrary\nphases, play an important role in the theory of quantum information. We review\nbasic properties of complex Hadamard matrices and present a catalogue of\ninequivalent cases known for dimension N=2,...,16. In particular, we explicitly\nwrite down some families of complex Hadamard matrices for N=12,14 and 16, which\nwe could not find in the existing literature.",
    "arxiv_id": "quant-ph/0512154",
    "authors": [
      "Wojciech Tadej",
      "Karol Zyczkowski"
    ],
    "categories": [
      "quant-ph",
      "math.CO",
      "math.RA"
    ],
    "journal_ref": "Open Syst. Inf. Dyn. 13, 133-177 (2006)",
    "title": "A concise guide to complex Hadamard matrices",
    "url": "https://arxiv.org/abs/quant-ph/0512154"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f495a419-8a8e-4f61-af42-93c68a49f9b5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}