{
  "abstract": "Quantum networks are usually framed by two hardware limits: how fast entanglement can be heralded, and how long a memory can hold it. We establish a third, geometric limit: entanglement decoheres while control information travels, so the distance to whoever allocates resources enters the fidelity budget directly. We develop a functional-graph abstraction weighting each link by its predicted multiplicative contribution to end-to-end fidelity, separating global but delayed state from local and immediate state, and compare centralized against local allocation in a replicated discrete-event model. Centralized delivery latency grows with network diameter while local latency is nearly scale invariant, differing up to twenty-fold for short-range traffic; the coherence threshold at which a global view outweighs a fresh one does not shift across the tested sizes; and as heralding accelerates, the dominant cost moves into the control plane. Slot synchronization instead obeys the product of slot rate and one-way link delay, so it is bounded by repeater spacing rather than diameter. Controller placement, decision locality, repeater spacing and slot rate are physical design parameters, not implementation details.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23047",
  "author_total": 2,
  "authors": [
    {
      "name": "I. Dey"
    },
    {
      "name": "N. Marchetti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d22wvn9bp3vs3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23047",
  "fulltext_url": null,
  "id": "d22wvn9bp3vs3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23047",
  "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": "W7214021932",
  "pdf_url": "https://arxiv.org/pdf/2609.23047",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d22wvn9bp3vs3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23047",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23047"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Where to Decide: Control-Plane Geometry in Coherence-Limited Quantum Networks",
  "title_text": "Where to Decide: Control-Plane Geometry in Coherence-Limited Quantum Networks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/d22wvn9bp3vs3",
  "venue": "arXiv",
  "versions": []
}