{
  "annotation_id": "ad0cd9bb-3195-4173-aaa8-e1282167058e",
  "date_created": "2026-03-02T18:01:38.408000Z",
  "date_modified": "2026-03-02T18:01:38.408000Z",
  "file_hash": "fec97702933f345d3791e13317faaf6617691dbdd9782994c4d6e3e5c025c33f",
  "private": false,
  "record": {
    "abstract": "We derive a sufficient condition for a set of pure states, each entangled in\ntwo remote $N$-dimensional systems, to be transformable to\n$k$-dimensional-subspace equivalent entangled states ($k\\leq N$) by same local\noperations and classical communication. If $k=N$, the condition is also\nnecessary. This condition reveals the function of the relative marginal density\noperators of the entangled states in the entanglement manipulation without\nsufficient information of the initial states.",
    "arxiv_id": "quant-ph/0002068",
    "authors": [
      "Chuan-Wei Zhang",
      "Chuan-Feng Li",
      "Guang-Can Guo"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Conditions for manipulation of a set of entangled pure states",
    "url": "https://arxiv.org/abs/quant-ph/0002068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5a3c94b8-cb0c-4145-9f09-d2f44f1854c2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}