{
  "abstract": "Continuous-variable (CV) cluster states constitute one of the central resources for measurement-based quantum computation (MBQC). Despite substantial progress in their theoretical development and experimental realization, comparing the quality of different cluster-state topologies remains challenging, as existing approaches typically rely either on qualitative inspection of covariance matrices or on individual metrics that characterize only a single aspect of the underlying correlation structure. In this work, we propose a quantitative evaluation framework that integrates six complementary descriptors of CV cluster states: total correlation strength (SSC), correlation uniformity (CAV), error resilience (EVC), communication overhead (COM), path redundancy (RED), and bottleneck vulnerability (BOT). These quantities are combined into a single \\textbf{Unified Cluster Quality Metric (UCQM)}, providing a consistent basis for evaluating and comparing different cluster-state architectures. The proposed framework is applied to four-mode path, square, and star cluster topologies over the squeezing range $r \\in [0.2,1.8]$. Across the investigated parameter regime, the square topology consistently achieves the highest UCQM score, indicating the most balanced structural characteristics among the topologies considered and supporting its suitability for measurement-based quantum computation. Because all six metrics are derived directly from covariance-matrix elements together with graph connectivity, the framework naturally extends to arbitrary $N$-mode cluster states, higher-dimensional lattice geometries, and experimentally reconstructed covariance matrices. Beyond providing a single numerical score, UCQM offers a unified perspective for analyzing the structural quality of CV cluster states and establishes a practical framework for their systematic comparison, optimization, and future design.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20852",
  "author_total": 1,
  "authors": [
    {
      "name": "Saman Sarshar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/897jxeceh4djy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20852",
  "fulltext_url": null,
  "id": "897jxeceh4djy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20852",
  "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": "W7213886962",
  "pdf_url": "https://arxiv.org/pdf/2609.20852",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/897jxeceh4djy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:03Z",
      "native_id": "2609.20852",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20852"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "UCQM: A Six-Metric Quality Framework for Continuous-Variable Cluster States",
  "title_text": "UCQM: A Six-Metric Quality Framework for Continuous-Variable Cluster States",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:03Z",
  "url": "https://research.draconitic.com/paper/897jxeceh4djy",
  "venue": "arXiv",
  "versions": []
}