{
  "annotation_id": "6ddf343f-a4c3-442e-ab0c-f2980f3ce064",
  "date_created": "2026-03-02T18:01:45.511000Z",
  "date_modified": "2026-03-02T18:01:45.511000Z",
  "file_hash": "a9944fc60c9e9633bc0095b27eeaeb26510a766f769d447d2d1346ad07474eb9",
  "private": false,
  "record": {
    "abstract": "An important measure of bipartite entanglement is the entanglement of\nformation, which is defined as the minimum average pure state entanglement of\nall decompositions realizing a given state. A decomposition which achieves this\nminimum is called an optimal decomposition. However, as for the entanglement of\nformation, there is not much known about the structure of such optimal\ndecompositions, except for some special cases, like states of two qubits or\nisotropic states. Here we present a necessary and sufficient condition for a\nset of pure states of a finite dimensional bipartite system to form an optimal\ndecomposition. This condition is well suited to treat the question, whether the\nentanglement of formation is additive or not.",
    "arxiv_id": "quant-ph/0106030",
    "authors": [
      "Tobias Prager"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A necessary and sufficient condition for optimal decompositions",
    "url": "https://arxiv.org/abs/quant-ph/0106030"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "df312a11-0f89-48a5-b154-061d2829b0ce",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}