{
  "abstract": "Whether entanglement with a negative partial transpose (NPT) can be undistillable is a longstanding open problem. In the canonical family of DiVincenzo \\textit{et al.}, the one-copy-undistillable region was conjectured to remain undistillable at all copy numbers. We refute this: in every dimension $d\\geq3$, one vertex of this region is two-copy distillable, via an explicit Schmidt-rank-two tight-frame witness. The separation persists on an open set, while other states in the same region are provably two-copy undistillable. Twirling our counterexample into Werner form makes it two-copy undistillable, so this standard reduction can erase finite-copy distillability.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.08836",
  "author_total": 3,
  "authors": [
    {
      "name": "Gelo Noel M. Tabia"
    },
    {
      "name": "Kai-Siang Chen"
    },
    {
      "name": "Min-Hsiu Hsieh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6jvf9seyhy94q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.08836",
  "fulltext_url": null,
  "id": "6jvf9seyhy94q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.08836",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7202203585",
  "pdf_url": "https://arxiv.org/pdf/2608.08836",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6jvf9seyhy94q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2608.08836",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.08836"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension",
  "title_text": "Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/6jvf9seyhy94q",
  "venue": "arXiv",
  "versions": []
}