{
  "abstract": "We present the resource estimation of how known-constant arithmetic changes the cost of a Grover oracle for Minecraft 1.13.1 seed recovery, an application of quantum search to procedural content generation. The oracle developed here combines a structure-placement predicate with a reversible inverse transform of the linear congruential generator for the 32-bit residual search. Reduced-width arithmetic, phase marking, uncomputation, and complete Grover loops are verified against an independent Java reference, while production-width circuits are structurally audited. Direct Fourier-basis constant arithmetic reduces the placement-predicate width from 6n+3 to 4n+3 qubits and the structural scaling of the two-qubit gate counts from Theta(n^3) to O(n^2). Under backend-agnostic common-basis Qiskit level-0 {u, CX} accounting, the representative nonzero-r folded residual-search construction uses 275 circuit qubits, 48,896 CX gates, and depth 4,482, versus 467 qubits, 2,038,804 CX gates, and depth 186,328 for the original register-to-register baseline. Multi-placement conjunctions expose a width-recomputation tradeoff, and exact enumeration identifies a plateau in candidate reduction for the benchmark. We executed reduced-width placement circuits within complete Grover loops on IBM processors and Quantinuum H2-1 and show larger one-iteration increases in marked-state probability for the specialized construction than for the baseline. These results quantify the resource benefits of arithmetic specialization and show substantial routing sensitivity in the reduced-width IBM hardware experiments. Together, the results quantify the effect of specializing known-constant arithmetic within a PCG-derived oracle and show that its compiled hardware behavior strongly depends on routing and execution context.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33139",
  "author_total": 3,
  "authors": [
    {
      "name": "Evan M. Reeves"
    },
    {
      "name": "Elias Sopkin"
    },
    {
      "name": "Thomas A. Searles"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/aa5pyfgnmp1f6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33139",
  "fulltext_url": null,
  "id": "aa5pyfgnmp1f6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33139",
  "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": "W7224017639",
  "pdf_url": "https://arxiv.org/pdf/2610.33139",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/aa5pyfgnmp1f6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33139",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33139"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "The Cost of a Real Grover Oracle: Minecraft Seed Search from Software to Quantum Hardware",
  "title_text": "The Cost of a Real Grover Oracle: Minecraft Seed Search from Software to Quantum Hardware",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/aa5pyfgnmp1f6",
  "venue": "arXiv",
  "versions": []
}