{
  "annotation_id": "3b281cb7-0eb3-41d0-ab4c-40a01593b636",
  "date_created": "2026-03-02T18:02:31.036000Z",
  "date_modified": "2026-03-02T18:02:31.036000Z",
  "file_hash": "db72e1220864a956f331d24c50801598da797b47f7fd3c667be1698a01d633fc",
  "private": false,
  "record": {
    "abstract": "In this note, we discuss dilation-theoretic matrix parametrizations of\ncontractions and positive matrices. These parametrizations are then applied to\nsome problems in quantum information theory. First we establish some properties\nof positive maps, or entanglement witnesses. Two further applications,\nconcerning concrete dilations of completely positive maps, in particular\nquantum operations, are given.",
    "arxiv_id": "quant-ph/0610259",
    "authors": [
      "M. C. Tseng"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Contractions, Matrix Paramatrizations, and Quantum Information",
    "url": "https://arxiv.org/abs/quant-ph/0610259"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec34ac13-3651-48d1-a188-9e9cd81f4c62",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}