{
  "abstract": "Circuit cutting enables quantum computations to be decomposed into smaller subcircuits at the cost of additional sampling overhead. Gate-cutting provides one such approach by replacing nonlocal gates with quasiprobability decompositions of local operations. Starting from the known optimal two-qubit gate-cutting formula, we derive complete sharp lower and upper envelopes relating the quasiprobability extent $γ$ to five established descriptors: entangling power, gate typicality, operator entanglement, Schmidt strength, and maximum product-input concurrence. We recast $γ$ as a Rényi-$1/2$ functional of the operator-Schmidt spectrum and show how the physical constraints on two-qubit spectra sharpen generic entropy bounds and select a small set of recurring extremal Cartan families. None of the five descriptors generically determines $γ$ alone, but each imposes exact constraints, revealing how substantially the optimal gate-cutting cost can vary between gates with similar nonlocal characteristics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30141",
  "author_total": 1,
  "authors": [
    {
      "name": "Michael Hart"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d3mgkxcphzwfm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30141",
  "fulltext_url": null,
  "id": "d3mgkxcphzwfm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30141",
  "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 Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7214365453",
  "pdf_url": "https://arxiv.org/pdf/2609.30141",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d3mgkxcphzwfm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.30141",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30141"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Optimal Two-Qubit Gate-Cutting Cost and Measures of Nonlocality",
  "title_text": "Optimal Two-Qubit Gate-Cutting Cost and Measures of Nonlocality",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:11Z",
  "url": "https://research.draconitic.com/paper/d3mgkxcphzwfm",
  "venue": "arXiv",
  "versions": []
}