{
  "annotation_id": "a3a0f74b-bd62-4062-aa3a-479d5e046d25",
  "date_created": "2026-03-02T18:02:12.850000Z",
  "date_modified": "2026-03-02T18:02:12.850000Z",
  "file_hash": "f51efe90709ae74982e5434631e815a007d867884766d407f6c2b89d2683cb7a",
  "private": false,
  "record": {
    "abstract": "In this paper we prove that every pure-state $\\Psi ^{(N)}$ of N (N$\\geqslant\n3)$ continuous variables corresponds to a pair of convex rigid covers (CRCs)\nstructures in the continuous-dimensional Hilbert-Schmidt space. Next we\nstrictly define what are the partial separability and ordinary separability,\nand discuss how to use CRCs to describe various separability. We discuss the\nproblem of the classification of $\\Psi ^{(N)}$ and give a kinematical\nexplanation of the local unitary operations acting upon $\\Psi ^{(N)}$. Thirdly,\nwe discuss the invariants of classes and give a possible physical explanation.",
    "arxiv_id": "quant-ph/0502126",
    "authors": [
      "Zai-Zhe Zhong"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Convex rigid cover method in studies of quantum pure-states of many   continuous variables",
    "url": "https://arxiv.org/abs/quant-ph/0502126"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4cdcdb26-d9ef-4776-b9e1-84daf458042d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}