{
  "annotation_id": "ba0750fc-8e2f-4b90-9b4f-5de9a1f3e160",
  "date_created": "2026-03-02T18:01:56.378000Z",
  "date_modified": "2026-03-02T18:01:56.378000Z",
  "file_hash": "491e2ee12919aca2592f9454b2bf663cb63d09fcfbc93e6f211abf947f21eb56",
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  "record": {
    "abstract": "We consider a partial trace transformation which maps a multipartite quantum\nstate to collection of local density matrices. We call this collection a mean\nfield state. The necessary and sufficient conditions under which a mean field\nstate is compatible with at least one multipartite pure state are found for the\nsystem of $n$ qubits and for the tripartite system with the Hilbert space of\ndimension 2x2x4. Compatibility of mean field states with more general classes\nof multipartite quantum states is discussed.",
    "arxiv_id": "quant-ph/0301014",
    "authors": [
      "Sergey Bravyi"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quantum Inf. and Comp., Vol. 4, No. 1 (2004) pp.012-026",
    "title": "Requirements for compatibility between local and multipartite quantum   states",
    "url": "https://arxiv.org/abs/quant-ph/0301014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "537f0ec2-e008-4a3e-bad6-fd9cf67ea72a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}