{
  "annotation_id": "87217dd9-c92e-4a21-9857-d62a0f1efefb",
  "date_created": "2026-03-02T18:01:55.393000Z",
  "date_modified": "2026-03-02T18:01:55.393000Z",
  "file_hash": "236fb0e5a0fdf5f4dc689d272cb31c738d5532dad424bbe72e8737702037084f",
  "private": false,
  "record": {
    "abstract": "We give necessary conditions for the mixing problem in bipartite case, which\nare independent of eigenvalues and based on algebraic-geometric invariants of\nthe bipartite states. One implication of our results is that for some special\nbipartite mixed states, only special mixed states in a measure zero set can be\nused to mix to get them. The results indicate for many physical problems on\ncomposite quantum systems the description based on majorization of eigenvalues\nis not sufficient",
    "arxiv_id": "quant-ph/0210115",
    "authors": [
      "Hao Chen"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Constraints on the mixing of states on bipartite quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0210115"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "88a78e71-514e-461a-bf88-f9e8ef9472fb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}