{
  "abstract": "We determine the preshared entanglement required for spatially separated parties, restricted to local operations and classical communication, to attain globally optimal probabilistic two-copy purification of arbitrary bipartite pure states under depolarizing noise. In every local dimension $d\\ge 2$, one shared maximally entangled qubit pair suffices: local controlled-SWAP operations exactly reproduce the globally optimal successful transformation. Conversely, any finite-dimensional preshared resource state that attains the same benchmark, even under a positive-partial-transpose relaxation, must have entanglement of formation at least one ebit. For pure resources with one ebit, or for two-qubit resources including mixed states, attaining the benchmark is possible only for states with exactly two nonzero Schmidt weights, both equal to $1/2$, namely those locally unitarily equivalent to a maximally entangled qubit pair. These findings provide a benchmark for evaluating the entanglement demands of noise management in quantum networks and modular quantum computers.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23441",
  "author_total": 4,
  "authors": [
    {
      "name": "Jiayi Zhao"
    },
    {
      "name": "Chengkai Zhu"
    },
    {
      "name": "Xin Wang"
    },
    {
      "name": "Ge Bai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/75qzmyz21qq6b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23441",
  "fulltext_url": null,
  "id": "75qzmyz21qq6b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23441",
  "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": "W7214009808",
  "pdf_url": "https://arxiv.org/pdf/2609.23441",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/75qzmyz21qq6b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23441",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23441"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Entanglement Cost of Optimal Distributed Quantum State Purification",
  "title_text": "Entanglement Cost of Optimal Distributed Quantum State Purification",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/75qzmyz21qq6b",
  "venue": "arXiv",
  "versions": []
}