{
  "annotation_id": "b90b8817-64b2-4d86-acc6-89b9e254f3fc",
  "date_created": "2026-03-02T18:01:41.424000Z",
  "date_modified": "2026-03-02T18:01:41.424000Z",
  "file_hash": "fcd9952ace64c6452c7d2c9bf3c0fbb7c0864f097b84da7add43bce36893b6ab",
  "private": false,
  "record": {
    "abstract": "Assuming the validity of a conjecture in quant-ph/9910026 and\nquant-ph/9910022 we show that the distillable entanglement for two bipartite\nstates, each of which individually has zero distillable entanglement, can be\nnonzero. We show that this also implies that the distillable entanglement is\nnot a convex function. Our example consists of the tensor product of a bound\nentangled state based on an unextendible product basis with a Werner state\nwhich lies in the class of conjectured undistillable states.",
    "arxiv_id": "quant-ph/0010054",
    "authors": [
      "Peter W. Shor",
      "John A. Smolin",
      "Barbara M. Terhal"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.86.2681",
    "journal_ref": "Phys. Rev. Lett. 86, 2681--2684 (2001)",
    "title": "Nonadditivity of Bipartite Distillable Entanglement follows from   Conjecture on Bound Entangled Werner States",
    "url": "https://arxiv.org/abs/quant-ph/0010054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "14ed7e2d-ff66-48d7-8762-de692d509e38",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}