{
  "annotation_id": "0684e423-7a3f-46e7-93f4-a66dbb23e2be",
  "date_created": "2026-03-02T18:02:17.285000Z",
  "date_modified": "2026-03-02T18:02:17.285000Z",
  "file_hash": "ea77815e4f0c037ae3a810f89ffb7207f929a5e5c8cd0ff7c7bedceca6addb11",
  "private": false,
  "record": {
    "abstract": "In this paper, we propose concurrence classes for an arbitrary multi-qubit\nstate based on orthogonal complement of a positive operator valued measure, or\nPOVM in short, on quantum phase. In particular, we construct concurrence for an\narbitrary two-qubit state and concurrence classes for the three- and four-qubit\nstates. And finally, we construct $W^{m}$ and $GHZ^{m}$ class concurrences for\nmulti-qubit states. The unique structure of our POVM enables us to distinguish\ndifferent concurrence classes for multi-qubit states.",
    "arxiv_id": "quant-ph/0504222",
    "authors": [
      "Hoshang Heydari"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/50/009",
    "journal_ref": "J. Phys. A: Math. Gen. 38 (2005) 11007-11017",
    "title": "Concurrence classes for an arbitrary multi-qubit state based on positive   operator valued measure",
    "url": "https://arxiv.org/abs/quant-ph/0504222"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b4b32c29-c33d-4144-8a67-06d06370bbe9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}