{
  "annotation_id": "8cae83a5-80ea-438b-b5ba-b2a33cf423c6",
  "date_created": "2026-03-02T18:02:45.077000Z",
  "date_modified": "2026-03-02T18:02:45.077000Z",
  "file_hash": "7c4f4aad8fa11fca1f4de108bab9e70c5a44fd5ef93096e8ce130f64360c3610",
  "private": false,
  "record": {
    "abstract": "Suppose Alice and Bob jointly possess a pure state, $|\\psi\\ra$. Using local\noperations on their respective systems and classical communication it may be\npossible for Alice and Bob to transform $|\\psi\\ra$ into another joint state\n$|\\phi\\ra$. This Letter gives necessary and sufficient conditions for this\nprocess of entanglement transformation to be possible. These conditions reveal\na partial ordering on the entangled states, and connect quantum entanglement to\nthe algebraic theory of majorization. As a consequence, we find that there\nexist essentially different types of entanglement for bipartite quantum\nsystems.",
    "arxiv_id": "quant-ph/9811053",
    "authors": [
      "M. A. Nielsen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.83.436",
    "journal_ref": "Physical Review Letters, Vol 83 (2), pp 436--439 (1999)",
    "title": "Conditions for a class of entanglement transformations",
    "url": "https://arxiv.org/abs/quant-ph/9811053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2d0cc7d1-84f0-4dc9-9706-8b55a9d9c530",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}