{
  "abstract": "A longstanding question in Bell nonlocality is whether finite-alphabet nonsignalling resources can reproduce the continuum of measurement correlations of partially entangled qubits. Here we resolve this problem by showing that every fixed pure two-qubit state admits an exact simulation of all local projective-measurement statistics using shared randomness and finitely many Popescu-Rohrlich (PR) boxes, without communication or postselection. The boxes operate in parallel, with a worst-case bound independent of the measurement settings: at most $128\\cot^4θ$ calls for the Schmidt state $\\cosθ|00\\rangle+\\sinθ|11\\rangle$, $0<θ<π/4$. The key is an exact finite-selection method that reduces input-dependent continuous sampling to a choice from a fixed-length shared random list, implemented through a finite PR-box network. The construction extends to arbitrary mixed two-qubit states and local binary-outcome POVMs. This reveals a fundamental separation between the continuity of quantum measurement correlations and the alphabet size of the resources needed to simulate them, shedding light on the resource-theoretic structure of Bell nonlocality.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32319",
  "author_total": 3,
  "authors": [
    {
      "name": "Ziao Tang"
    },
    {
      "name": "Xin Wang"
    },
    {
      "name": "Ge Bai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3rx3n3acgsfye.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32319",
  "fulltext_url": null,
  "id": "3rx3n3acgsfye",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32319",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.32319",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3rx3n3acgsfye.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.32319",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32319"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Finite Nonsignalling Resources Suffice to Simulate Entangled Qubits",
  "title_text": "Finite Nonsignalling Resources Suffice to Simulate Entangled Qubits",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:15Z",
  "url": "https://research.draconitic.com/paper/3rx3n3acgsfye",
  "venue": "arXiv",
  "versions": []
}