{
  "annotation_id": "9b4fbe46-cf44-4fae-8536-e815ef6998c8",
  "date_created": "2026-03-02T18:02:10.049000Z",
  "date_modified": "2026-03-02T18:02:10.049000Z",
  "file_hash": "77bce9d78c0ef1903983b4c18eb27ed13ececab8e674490057c852f6817504cf",
  "private": false,
  "record": {
    "abstract": "It is well known that for two qubits the upper bounds of the relative entropy\nof entanglement (REE) for a given concurrence as well as the negativity for a\ngiven concurrence are reached by pure states. We show that, by contrast, there\nare two-qubit mixed states for which the REE for some range of a fixed\nnegativity is higher than that for pure states. Moreover, we demonstrate that a\nmixture of a pure entangled state and pure separable state orthogonal to it is\nlikely to give the maximal REE. By noting that the negativity is a measure of\nentanglement cost under operations preserving positivity of partial transpose,\nour results provide an explicit example of operations such that, even though\nthe entanglement cost for an exact preparation is the same, the entanglement of\ndistillation of a mixed state can exceed that of pure states. This means that\nthe entanglement manipulation via a pure state can result in a larger\nentanglement loss than that via a mixed state.",
    "arxiv_id": "quant-ph/0409009",
    "authors": [
      "Adam Miranowicz",
      "Satoshi Ishizaka",
      "Bohdan Horst",
      "Andrzej Grudka"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.78.052308",
    "journal_ref": "Phys. Rev. A 78, 052308 (2008)",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Comparison of the relative entropy of entanglement and negativity",
    "url": "https://arxiv.org/abs/quant-ph/0409009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5b0cf7b7-f39d-4c6b-9c82-0ed4baf6a11a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}