{
  "abstract": "One-way local operations and classical communication (LOCC) can fail to distinguish four orthogonal maximally entangled states in every local dimension $d\\ge4$. We show that every set of $k$ pairwise orthogonal maximally entangled states in $\\mathbb C^d\\otimes\\mathbb C^d$ is perfectly distinguishable by an $A\\to B\\to A$ protocol whenever $d\\ge Ck^4[\\log(2k)]^ν$, for universal constants $C,ν>0$. A single feedback message therefore raises the number of candidates that can always be distinguished from a constant to $Ω\\!\\left(d^{1/4}/(\\log d)^{ν/4}\\right)$, establishing a polynomial separation between one-way and two-way LOCC. In our protocol, Alice preserves exact orthogonality while reducing overlaps between Bob's conditional subspaces. Bob reduces the candidates to a singleton or an orthogonal pair and refines his outcome so that Alice can complete the discrimination. As a corollary, nine copies suffice for perfect two-way LOCC discrimination of any orthogonal maximally entangled set in all sufficiently large local dimensions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04288",
  "author_total": 1,
  "authors": [
    {
      "name": "Youngrong Lim"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3tbyechpcvfxv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04288",
  "fulltext_url": null,
  "id": "3tbyechpcvfxv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04288",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7220692204",
  "pdf_url": "https://arxiv.org/pdf/2610.04288",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3tbyechpcvfxv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.04288",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04288"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Polynomial Separation between One-Way and Two-Way LOCC in Discrimination of Maximally Entangled States",
  "title_text": "Polynomial Separation between One-Way and Two-Way LOCC in Discrimination of Maximally Entangled States",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/3tbyechpcvfxv",
  "venue": "arXiv",
  "versions": []
}