{
  "annotation_id": "f4ceeb36-de76-4b0a-9a6e-35d197abf2a4",
  "date_created": "2026-03-02T18:02:13.464000Z",
  "date_modified": "2026-03-02T18:02:13.464000Z",
  "file_hash": "d62538f2301f03ed7cc7233a25a205a7776036189cc4e3d21f743234df8e6e06",
  "private": false,
  "record": {
    "abstract": "Basing on states and channels isomorphism we point out that semidefinite\nprogramming can be used as a quick test for nonzero one-way quantum channel\ncapacity. This can be achieved by search of symmetric extensions of states\nisomorphic to a given quantum channel. With this method we provide examples of\nquantum channels that can lead to high entanglement transmission but still have\nzero one-way capacity, in particular, regions of symmetric extendibility for\nisotropic states in arbitrary dimensions are presented. Further we derive {\\it\na new entanglement parameter} based on (normalised) relative entropy distance\nto the set of states that have symmetric extensions and show explicitly the\nsymmetric extension of isotropic states being the nearest to singlets in the\nset of symmetrically extendible states. The suitable regularisation of the\nparameter provides a new upper bound on one-way distillable entanglement.",
    "arxiv_id": "quant-ph/0503070",
    "authors": [
      "Pawel Horodecki",
      "Marcin L. Nowakowski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/42/13/135306",
    "journal_ref": "J. Phys. A: Math. Theor. 42 (2009) 135306",
    "title": "Simple test for quantum channel capacity",
    "url": "https://arxiv.org/abs/quant-ph/0503070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8a405d61-c7a5-4c99-a5e1-f962514040a3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}