{
  "annotation_id": "e8410cfc-cf2d-4913-82fb-8a04b240be43",
  "date_created": "2026-03-02T18:02:15.968000Z",
  "date_modified": "2026-03-02T18:02:15.968000Z",
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  "record": {
    "abstract": "It is shown that a finite number of conditions are {\\em not} sufficient to\ndetermine the locality of transformations between two probability distributions\nof pure states as well as the locality of transformations between two $d\\times\nd$ mixed states with $d\\geq 4$. As an example, an infinite, but minimal, set of\nnecessary and sufficient conditions for the existence of a local procedure that\nconverts one probability distribution of two pure pair of qubits into another\none is found.",
    "arxiv_id": "quant-ph/0504095",
    "authors": [
      "Gilad Gour"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.022323",
    "journal_ref": "Physical Review A 72, 022323 (2005)",
    "title": "Infinite number of conditions for local mixed state manipulations",
    "url": "https://arxiv.org/abs/quant-ph/0504095"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5d6eff6f-f9d6-4046-8dbc-bbd752aee6ce",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}