{
  "annotation_id": "40198c51-11d5-45a2-97f2-2549170908cd",
  "date_created": "2026-03-02T18:02:05.876000Z",
  "date_modified": "2026-03-02T18:02:05.876000Z",
  "file_hash": "7f442f17816b2c99ac27dac8762f1fc528525af190f46cd741599aa236804af9",
  "private": false,
  "record": {
    "abstract": "It is a hard and important problem to find the criterion of the set of\npositive-definite matrixes which can be written as reduced density operators of\na multi-partite quantum state. This problem is closely related to the study of\nmany-body quantum entanglement which is one of the focuses of current quantum\ninformation theory. We give several results on the necessary compatibility\nrelations between a set of reduced density matrixes, including: (i)\ncompatibility conditions for the one-party reduced density matrixes of any\n$N_A\\times N_B$ dimensional bi-partite mixed quantum state, (ii) compatibility\nconditions for the one-party and two-party reduced density matrixes of any\n$N_A\\times N_B\\times N_C$ dimensional tri-partite mixed quantum state, and\n(iii) compatibility conditions for the one-party reduced matrixes of any\n$M$-partite pure quantum state with the dimension $N^{\\otimes M}$.",
    "arxiv_id": "quant-ph/0403151",
    "authors": [
      "Yong-Jian Han",
      "Yong-Sheng Zhang",
      "Guang-Can Guo"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.054302",
    "title": "Compatibility Relations between the Reduced and Global Density Matrixes",
    "url": "https://arxiv.org/abs/quant-ph/0403151"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "07e73000-a621-4c78-9bba-62944b086116",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}