{
  "abstract": "We study classical string commitment over quantum channels with limited preshared entanglement. For noninteractive protocols, we determine the commitment capacity of a class of channels with input dimension $d$ that, at each use, sample a pair of classical random variables $(F,Z)$, apply one of the $d^2$ Heisenberg--Weyl operators indexed by $Z$ to the input, and deliver the transformed quantum system together with $F$ to the receiver. If $E$ is the available entanglement rate in bits per channel use, then the capacity is $\\min\\{H(Z|F),\\log_2d+E\\}$. This class of channels encompasses quantum erasure and depolarizing channels, as well as families of Pauli channels. Additionally, for interactive protocols, we show that the commitment rate cannot exceed $\\log_2d+E$ bits per channel use, so that when $H(Z|F)\\geq\\log_2d+E$, interactive communication does not increase the capacity. As a consequence, for interactive protocols, we determine the capacity of the quantum erasure channel.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28500",
  "author_total": 1,
  "authors": [
    {
      "name": "Remi A. Chou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2tj5tge72j3g8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28500",
  "fulltext_url": null,
  "id": "2tj5tge72j3g8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28500",
  "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",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7204764631",
  "pdf_url": "https://arxiv.org/pdf/2608.28500",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2tj5tge72j3g8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:22Z",
      "native_id": "2608.28500",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28500"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Classical Commitment over Quantum Channels with Limited Entanglement Assistance",
  "title_text": "Classical Commitment over Quantum Channels with Limited Entanglement Assistance",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/2tj5tge72j3g8",
  "venue": "arXiv",
  "versions": []
}