{
  "annotation_id": "0165cca5-b988-47d5-ab3d-4ef923c80975",
  "date_created": "2026-03-02T18:02:20.473000Z",
  "date_modified": "2026-03-02T18:02:20.473000Z",
  "file_hash": "51f9fd3bda4b98a1760d5bd430df917880051d3b0e52b540886568fe995aa985",
  "private": false,
  "record": {
    "abstract": "An important open problem in quantum information theory is the question of\nthe existence of NPT bound entanglement. In the past years, little progress has\nbeen made, mainly because of the lack of mathematical tools to address the\nproblem. (i) In an attempt to overcome this, we show how the distillability\nproblem can be reformulated as a special instance of the separability problem,\nfor which a large number of tools and techniques are available. (ii) Building\nup to this we also show how the problem can be formulated as a Schmidt number\nproblem. (iii) A numerical method for detecting distillability is presented and\nstrong evidence is given that all 1-copy undistillable Werner states are also\n4-copy undistillable. (iv) The same method is used to estimate the volume of\ndistillable states, and the results suggest that bound entanglement is\nprimarily a phenomenon found in low dimensional quantum systems. (v) Finally, a\nset of one parameter states is presented which we conjecture to exhibit all\nforms of distillability.",
    "arxiv_id": "quant-ph/0510035",
    "authors": [
      "Lieven Clarisse"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quantum Information and Computation, Vol. 6, No. 6 (2006) 539-560",
    "title": "The distillability problem revisited",
    "url": "https://arxiv.org/abs/quant-ph/0510035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dadd2363-ebe7-4bab-97e1-14935d6582db",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}