{
  "annotation_id": "e3c6b5f8-4db7-4b21-aacb-ae95a821ade3",
  "date_created": "2026-03-02T18:02:06.511000Z",
  "date_modified": "2026-03-02T18:02:06.511000Z",
  "file_hash": "1866e32c710972861584f9a8ab509ed2cdd1f36f67765d899f39eaee21882e5c",
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  "record": {
    "abstract": "Criteria for distillability, and the property of having a positive partial\ntranspose, are introduced for states of general bipartite quantum systems. The\nframework is sufficiently general to include systems with an infinite number of\ndegrees of freedom, including quantum fields. We show that a large number of\nstates in relativistic quantum field theory, including the vacuum state and\nthermal equilibrium states, are distillable over subsystems separated by\narbitrary spacelike distances. These results apply to any quantum field model.\nIt will also be shown that these results can be generalized to quantum fields\nin curved spacetime, leading to the conclusion that there is a large number of\nquantum field states which are distillable over subsystems separated by an\nevent horizon.",
    "arxiv_id": "quant-ph/0403089",
    "authors": [
      "Rainer Verch",
      "Reinhard F. Werner"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0129055X05002364",
    "journal_ref": "Rev.Math.Phys. 17 (2005) 545-576",
    "title": "Distillability and positivity of partial transposes in general quantum   field systems",
    "url": "https://arxiv.org/abs/quant-ph/0403089"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "668d9ae0-85e3-40c2-87c2-8cc79237c175",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}