{
  "abstract": "A series of recent works has established EFI pairs as the \"minimal\" assumption for quantum cryptography. Recently, Cavalar et al. [CCC+26] showed that EFI pairs are equivalent to non-uniform expanding single-copy pseudorandom state generators (1PRS), and obtained a non-uniform meta-complexity characterization of EFI pairs. We remove the non-uniformity in their construction and prove that EFI pairs are equivalent to expanding 1PRS. As a corollary, we obtain the first uniform meta-complexity characterization of EFI pairs. Together with the equivalence of statistically verifiable one-way state generators and commitments proved by Batra and Jain [BJ24], this gives a quantum analogue of the classical equivalence between one-way functions, commitments, and pseudorandom generators.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18799",
  "author_total": 1,
  "authors": [
    {
      "name": "Rishabh Batra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9ntq06tm6pbjt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18799",
  "fulltext_url": null,
  "id": "9ntq06tm6pbjt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18799",
  "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.CR"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7221794721",
  "pdf_url": "https://arxiv.org/pdf/2610.18799",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9ntq06tm6pbjt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.18799",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18799"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "$\\mathsf{EFI}\\Leftrightarrow\\mathsf{1PRS}$",
  "title_text": "EFI⇔1PRS",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/9ntq06tm6pbjt",
  "venue": "arXiv",
  "versions": []
}