{
  "annotation_id": "723bfa57-9e9d-4d73-93f2-a18de3db31cf",
  "date_created": "2026-03-02T18:01:52.042000Z",
  "date_modified": "2026-03-02T18:01:52.042000Z",
  "file_hash": "7cc9d5741cd4f8c20f227ae8546587e9ab5975cc7b6700708ef2231f68430d10",
  "private": false,
  "record": {
    "abstract": "We study the entanglement cost under quantum operations preserving the\npositivity of the partial transpose (PPT-operations). We demonstrate that this\ncost is directly related to the logarithmic negativity, thereby providing the\noperational interpretation for this easily computable entanglement measure. As\nexamples we discuss general Werner states and arbitrary bi-partite Gaussian\nstates. Equipped with this result we then prove that for the anti-symmetric\nWerner state PPT-cost and PPT-entanglement of distillation coincide giving the\nfirst example of a truly mixed state for which entanglement manipulation is\nasymptotically reversible.",
    "arxiv_id": "quant-ph/0207146",
    "authors": [
      "K. Audenaert",
      "M. B. Plenio",
      "J. Eisert"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.90.027901",
    "journal_ref": "Phys. Rev. Lett. 90, 027901 (2003)",
    "title": "The entanglement cost under operations preserving the positivity of   partial transpose",
    "url": "https://arxiv.org/abs/quant-ph/0207146"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "277db020-3c3a-4529-8c76-b3de8ea5e31c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}