{
  "annotation_id": "501d2449-6350-4ed0-be7f-f60924dbc7cc",
  "date_created": "2026-03-02T18:02:10.243000Z",
  "date_modified": "2026-03-02T18:02:10.243000Z",
  "file_hash": "37cfd7f32209a4de8d7af5bfdcd7180df3b765b75ff89d45f81af3110fede9de",
  "private": false,
  "record": {
    "abstract": "Recent developments in mathematics have provided powerful tools for comparing\nthe eigenvalues of matrices related to each other via a moment map. In this\npaper we survey some of the more concrete aspects of the approach with a\nparticular focus on applications to quantum information theory. After\ndiscussing the connection between Horn\u0027s Problem and Nielsen\u0027s Theorem, we move\non to characterizing the eigenvalues of the partial trace of a matrix.",
    "arxiv_id": "quant-ph/0410052",
    "authors": [
      "Sumit Daftuar",
      "Patrick Hayden"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.aop.2004.09.012",
    "journal_ref": "Ann. Phys. 315, pp. 80-122, 2005.",
    "title": "Quantum state transformations and the Schubert calculus",
    "url": "https://arxiv.org/abs/quant-ph/0410052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8d1aca91-6f0c-4fe2-8e08-5dc8733e6a72",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}