{
  "annotation_id": "390ea5c3-6833-4dce-bec9-0a4ad29c60dd",
  "date_created": "2026-03-02T18:02:48.102000Z",
  "date_modified": "2026-03-02T18:02:48.102000Z",
  "file_hash": "844fa7698e2aeba856489505be47ddb11eb1ab5db89102dae7f48c768fc62287",
  "private": false,
  "record": {
    "abstract": "An exploratory approach to the possibility of analyzing nonorthogonality as a\nquantifiable property is presented. Three different measures for the\nnonorthogonality of pure states are introduced, and one of these measures is\nextended to single-particle density matrices using methods that are similar to\nrecently introduced techniques for quantifying entanglement. Several\ninteresting special cases are considered. It is pointed out that a measure of\nnonorthogonality can meaningfully be associated with a single mixed quantum\nstate. It is then shown how nonorthogonality can be unlocked with classical\ninformation; this analysis reveals interesting inequalities and points to a\nnumber of connections between nonorthogonality and entanglement.",
    "arxiv_id": "quant-ph/9907110",
    "authors": [
      "Oliver Cohen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.60.4349",
    "title": "Quantifying nonorthogonality",
    "url": "https://arxiv.org/abs/quant-ph/9907110"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "972284c7-cd5f-4869-bf65-7fc2f5fcccd0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}