{
  "abstract": "As quantum computing enters the early fault-tolerant era, circuit compilation choices will increasingly depend on details of the underlying architecture rather than solely optimizing for generic proxies such as non-Clifford count. We present an active-volume-aware compilation of the ground-state energy estimation algorithm for the two-dimensional Fermi-Hubbard model using quantum phase estimation and Trotterized time evolution. The proposed compilation reduces the active volume across $L\\times L$ square lattices with $L=4$ to $20$, achieving up to a $3.9\\times$ reduction over prior work optimized for non-Clifford cost. As a by-product of these compilation improvements, the resulting circuits also achieve state-of-the-art Toffoli counts, with a ~$2\\times$ reduction for the $L=20$ case. Lastly, the active volume architecture and recent execution scheduling advances provide a means of translating these reduction trends into runtime. This demonstrates the increasing importance of architecture-aware compilation for practical early fault-tolerant quantum computing.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05316",
  "author_total": 14,
  "authors": [
    {
      "name": "Harriet Apel"
    },
    {
      "name": "Athena Caesura"
    },
    {
      "name": "Carys Harvey"
    },
    {
      "name": "Sam Heavey"
    },
    {
      "name": "Angus Kan"
    },
    {
      "name": "Jessica Lemieux"
    },
    {
      "name": "Ryan Levy"
    },
    {
      "name": "Sam Pallister"
    },
    {
      "name": "Joseph Peetz"
    },
    {
      "name": "William Pol"
    },
    {
      "name": "Sukin Sim"
    },
    {
      "name": "William A. Simon"
    },
    {
      "name": "Mark Steudtner"
    },
    {
      "name": "Gideon Uchehara"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3a6t7f4hm7a46.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05316",
  "fulltext_url": null,
  "id": "3a6t7f4hm7a46",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05316",
  "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": "W7211978776",
  "pdf_url": "https://arxiv.org/pdf/2609.05316",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3a6t7f4hm7a46.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:52Z",
      "native_id": "2609.05316",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05316"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Compiling the 2D Fermi-Hubbard ground-state energy estimation algorithm for active volume quantum architectures",
  "title_text": "Compiling the 2D Fermi-Hubbard ground-state energy estimation algorithm for active volume quantum architectures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:52Z",
  "url": "https://research.draconitic.com/paper/3a6t7f4hm7a46",
  "venue": "arXiv",
  "versions": []
}