{
  "abstract": "We introduce monoprop, an open-source, massively parallel operator-propagation framework for fermion and qubit bases. For $N$ qubits or modes, existing codes represent each of the $K$ tracked operator terms (Pauli strings or products of Majorana operators) as a $2N$-bit string, testing each for anticommutation with the gate at $O(KN)$ cost per gate. Here, we introduce the anticommutation index which rapidly looks up the terms anticommuting with a gate. A local gate changes only the terms that touch its sites, and when terms are truncated to act on few sites, only a fraction $\\sim1/N$ touch any given qubit or mode, and we use this to prove the time per gate scales as $O(K/N)$. This counterintuitive result tells us that for a fixed number of terms, increasing the number of sites can make things faster. We demonstrate this numerically, and show monoprop scales almost ideally to 8192 cores, tracking $9.5\\times10^{10}$ terms. Beyond propagation, we present memory-efficient surrogate graphs, which record one propagation and replay it at new angles, for fast energy re-estimation and parameter gradients, and an efficient method for finding energy-minimising gates and optimal angles for simulating adaptive quantum-chemistry circuits.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21000",
  "author_total": 1,
  "authors": [
    {
      "name": "Aaron Miller"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ac1mqr6xa2fnx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21000",
  "fulltext_url": null,
  "id": "ac1mqr6xa2fnx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21000",
  "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",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7222643134",
  "pdf_url": "https://arxiv.org/pdf/2610.21000",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ac1mqr6xa2fnx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.21000",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21000"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "monoprop: Scaling Pauli and Majorana propagation via Anticommutation Indices",
  "title_text": "monoprop: Scaling Pauli and Majorana propagation via Anticommutation Indices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/ac1mqr6xa2fnx",
  "venue": "arXiv",
  "versions": []
}