{
  "abstract": "Not all entangled states are useful for quantum teleportation. We present a geometric method to construct optimal teleportation witnesses, which provide operational necessary and sufficient criteria for identifying the teleportation usefulness of arbitrary two-qudit entangled states. Specifically, by developing a two-layer iterative cutting-plane algorithm to solve the shortest distance problem from the target state $ρ$ to the convex set $S$ of useless states, we obtain the projection point $σ^* \\in S$ and then construct the optimal teleportation witness from the projection geometry. Moreover, the shortest distance $D(ρ)$ obtained during this construction also serves as a necessary and sufficient criterion for usefulness. We apply our method to identify the teleportation usefulness of three classes of entangled states.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.22226",
  "author_total": 6,
  "authors": [
    {
      "name": "Yanning Jia"
    },
    {
      "name": "Fenzhuo Guo"
    },
    {
      "name": "Mengxuan Bai"
    },
    {
      "name": "Mengyan Li"
    },
    {
      "name": "Haifeng Dong"
    },
    {
      "name": "Fei Gao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/abf52pd69z64s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.22226",
  "fulltext_url": null,
  "id": "abf52pd69z64s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.22226",
  "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": "W7162123693",
  "pdf_url": "https://arxiv.org/pdf/2605.22226",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/abf52pd69z64s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2605.22226",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.22226"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Geometric Construction of Optimal Teleportation Witnesses",
  "title_text": "Geometric Construction of Optimal Teleportation Witnesses",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/abf52pd69z64s",
  "venue": "arXiv",
  "versions": []
}