{
  "abstract": "Bell nonlocal correlations cannot be reproduced by local hidden-variable models without communication, making classical communication cost a natural quantitative measure of nonlocality. Although finite communication always suffices to simulate any correlation in a fixed finite Bell scenario, determining the minimum amount needed to (exactly) simulate any given nonlocal correlation remains challenging, especially in the average-cost setting. Here, we derive lower bounds on input-average communication cost from nonlocal games, allowing variable-length, fully interactive two-way protocols. When applied to parallel games, these bounds yield explicit finite quantum correlations for which the exact simulation cost exceeds any prescribed finite input-average communication budget. For $n$ parallel Magic-Square-winning correlations, we prove a lower bound of $n\\log_2(3/2)$ bits and give a one-way communication protocol that attains this rate asymptotically. For the quantum correlation maximally winning the $n$-copy of the Clauser--Horne--Shimony--Holt nonlocal game, we obtain an input-average lower bound of approximately $0.04627n$ bits for exact simulation. Finally, we formulate a hierarchy of lower bounds and complementary upper bounds using deterministic correlations up to chosen communication costs. Both recover the exact input-average cost at their final levels, and if the bounds agree at lower levels, their common value yields the exact input-average cost without needing to consider all communication strategies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04648",
  "author_total": 5,
  "authors": [
    {
      "name": "Kai-Siang Chen"
    },
    {
      "name": "Gelo Noel M. Tabia"
    },
    {
      "name": "Bo-An Tsai"
    },
    {
      "name": "Swati Kumari"
    },
    {
      "name": "Yeong-Cherng Liang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5jcdz7zvpcgf8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04648",
  "fulltext_url": null,
  "id": "5jcdz7zvpcgf8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04648",
  "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",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7220677337",
  "pdf_url": "https://arxiv.org/pdf/2610.04648",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5jcdz7zvpcgf8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.04648",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04648"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Bounding Two-Way Average Communication Cost of Simulating Quantum Correlations",
  "title_text": "Bounding Two-Way Average Communication Cost of Simulating Quantum Correlations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/5jcdz7zvpcgf8",
  "venue": "arXiv",
  "versions": []
}