{
  "annotation_id": "0eda2e7c-bf68-4ea9-b6ed-56dd80df5407",
  "date_created": "2026-03-02T18:01:46.089000Z",
  "date_modified": "2026-03-02T18:01:46.089000Z",
  "file_hash": "c8b775b1d90b967a9e134ecbe901aee977b651ba806fc6f011eed9228ec320f4",
  "private": false,
  "record": {
    "abstract": "We argue that a complete characterisation of quantum correlations in\nbipartite systems of many dimensions may require a quantity which, even for\npure states, does not reduce to a single number. Subsequently, we introduce\nmulti-dimensional generalizations of concurrence and find evidence that they\nmay provide useful tools for the analysis of quantum correlations in mixed\nbipartite states. We also introudce {\\it biconcurrence} that leads to a\nnecessary and sufficient condition for separability.",
    "arxiv_id": "quant-ph/0107147",
    "authors": [
      "Piotr Badziag",
      "Piotr Deuar",
      "Michal Horodecki",
      "Pawel Horodecki",
      "Ryszard Horodecki"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340210121589",
    "journal_ref": "J. Mod. Opt. 49, 1289 (2002)",
    "title": "Concurrence in arbitrary dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0107147"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4bc5437c-3b92-4488-ad5c-0d441fd1b497",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}