{
  "annotation_id": "85b97ed5-126f-4ad9-a497-d53ca7d4d663",
  "date_created": "2026-03-02T18:01:56.342000Z",
  "date_modified": "2026-03-02T18:01:56.342000Z",
  "file_hash": "7c94b3739db0d5dc0eeb5739b3774dd7edb1b6d802aba6c70b208080c7cdaafc",
  "private": false,
  "record": {
    "abstract": "In this paper we provide an analytical procedure which leads to a system of\n  $(n-2)^2$ polynomial equations whose solutions give the parameterisation of\nthe complex $n\\times n$ Hadamard matrices. It is shown that in general the\nHadamard matrices depend on a number of arbitrary phases and a lower bound for\nthis number is given. The moduli equations define interesting geometrical\nobjects whose study will shed light on the parameterisation of Hadamard\nmatrices, as well as on some interesting geometrical varieties defined by them.",
    "arxiv_id": "quant-ph/0212036",
    "authors": [
      "Petre Dita"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math.AG"
    ],
    "title": "New results on the parametrisation of complex Hadamard matrices",
    "url": "https://arxiv.org/abs/quant-ph/0212036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5bdd0f37-ee7e-4a52-8c32-1e4fe9894919",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}