{
  "annotation_id": "48d277c3-013e-4afa-8232-299b8083ff86",
  "date_created": "2026-03-02T18:02:09.887000Z",
  "date_modified": "2026-03-02T18:02:09.887000Z",
  "file_hash": "5c58b4c99aaf2dfef70c59d37c13eb2a45272798b79dcb49c03eb7e9b6941c6e",
  "private": false,
  "record": {
    "abstract": "Incomparability of pure bipartite entangled states under deterministic LOCC\nis a very strange phenomena. We find two possible ways of getting our desired\npure entangled state which is incomparable with the given input state, by\ncollective LOCC with certainty. The first one is by providing some pure\nentanglement through the lower dimensional maximally-entangled states or using\nfurther less amount of entanglement and the next one is by collective operation\non two pairs which are individually incomparable. It is quite surprising that\nwe are able to achieve maximally entangled states of any Schmidt rank from a\nfinite number of $2\\times 2$ pure entangled states only by deterministic LOCC.\nWe provide general theory for the case of $3\\times3$ system of incomparable\nstates by the above processes where incomparability seems to be the most\nhardest one.",
    "arxiv_id": "quant-ph/0409174",
    "authors": [
      "Indrani Chattopadhyay",
      "Debasis Sarkar"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quantum Information and Computation, Vol. 5, No. 3 (2005), 247-257",
    "title": "Deterministic Local Conversion of Incomparable States by Collective LOCC",
    "url": "https://arxiv.org/abs/quant-ph/0409174"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b229c815-04d9-40eb-8a46-1c6500319b92",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}