{
  "annotation_id": "94a09cd3-ddcc-4641-85fe-6d73587331b1",
  "date_created": "2026-03-02T18:02:16.281000Z",
  "date_modified": "2026-03-02T18:02:16.281000Z",
  "file_hash": "4e5e4eca631afc37abb89b59a9edef87c0713e0bfadacaa81291da7e44780e0b",
  "private": false,
  "record": {
    "abstract": "We consider the maximum bipartite entanglement that can be distilled from a\nsingle copy of a multipartite mixed entangled state, where we focus mostly on\n$d\\times d\\times n$-dimensional tripartite mixed states. We show that this {\\em\nassisted entanglement}, when measured in terms of the generalized concurrence\n(named G-concurrence) is (tightly) bounded by an entanglement monotone, which\nwe call the G-concurrence of assistance. The G-concurrence is one of the\npossible generalizations of the concurrence to higher dimensions, and for pure\nbipartite states it measures the {\\em geometric mean} of the Schmidt numbers.\nFor a large (non-trivial) class of $d\\times d$-dimensional mixed states, we are\nable to generalize Wootters formula for the concurrence into lower and upper\nbounds on the G-concurrence. Moreover, we have found an explicit formula for\nthe G-concurrence of assistance that generalizes the expression for the\nconcurrence of assistance for a large class of $d\\times d\\times n$ dimensional\ntripartite pure states.",
    "arxiv_id": "quant-ph/0506229",
    "authors": [
      "Gilad Gour"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.042318",
    "journal_ref": "Phys. Rev. A 72, 042318 (2005)",
    "title": "Mixed State Entanglement of Assistance and the Generalized Concurrence",
    "url": "https://arxiv.org/abs/quant-ph/0506229"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "57eb8d17-9ab8-4957-ba97-77244a53d687",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}