{
  "abstract": "In this note, I describe a quantum algorithm that prepares an arbitrary state $|ψ\\rangle$ to inverse exponential precision in polynomial time by making queries to an $\\mathsf{NP}$ oracle, assuming one can directly query entries of the state vector corresponding to $|ψ\\rangle$. The previous best upper bound on the complexity class required by an oracle for this task was $\\mathsf{PP}$. I provide evidence that $\\mathsf{NP}$ is the best possible upper bound by showing that any quantum algorithm using a $\\mathsf{P}$ oracle, or even a $\\mathsf{P/poly}$ oracle, requires exponentially many queries. I also discuss some implications of this result for the $\\mathsf{QMA}$ search-to-decision problem and unitary synthesis.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02370",
  "author_total": 1,
  "authors": [
    {
      "name": "Aniruddha Sen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/agrf4t6trac3f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02370",
  "fulltext_url": null,
  "id": "agrf4t6trac3f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02370",
  "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",
      "cs.CC"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02370",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/agrf4t6trac3f.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.02370",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02370"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "State Synthesis with an NP oracle",
  "title_text": "State Synthesis with an NP oracle",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:58Z",
  "url": "https://research.draconitic.com/paper/agrf4t6trac3f",
  "venue": "arXiv",
  "versions": []
}