{
  "abstract": "Quantum error mitigation relies on accurate noise characterization, but mismatches between the actual and characterized noise can be amplified and drive a sharp threshold between successful and failed mitigation. In random circuits, this threshold maps onto a random-field Ising transition, but previous exact numerics were limited to small one-dimensional and all-to-all systems, leaving explicit two-dimensional architectures unresolved. We develop a fixed-bond-dimension matrix-product-state method for the replicated transfer dynamics that extends threshold calculations beyond exact propagation while retaining the finite-size signatures of the transition. At system sizes beyond previous exact studies, we recover the predicted absence of a threshold for quenched disorder in 1D, obtain a sharper annealed all-to-all critical point, and resolve architecture-dependent finite-depth thresholds in 2D square and heavy-hex circuits. These results establish replicated tensor-network dynamics as a practical tool for probing error-mitigation thresholds in large and higher-dimensional noisy circuits.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10929",
  "author_total": 3,
  "authors": [
    {
      "name": "Jia-Yao Zhao"
    },
    {
      "name": "Zhi-Yuan Wei"
    },
    {
      "name": "Michael J. Gullans"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/16e5xd09wnpdv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10929",
  "fulltext_url": null,
  "id": "16e5xd09wnpdv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10929",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7212290845",
  "pdf_url": "https://arxiv.org/pdf/2609.10929",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/16e5xd09wnpdv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.10929",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10929"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Probing the Error-Mitigation Threshold with Matrix Product States",
  "title_text": "Probing the Error-Mitigation Threshold with Matrix Product States",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/16e5xd09wnpdv",
  "venue": "arXiv",
  "versions": []
}