{
  "abstract": "In the spirit of the Brown-Susskind conjecture, proven in \\cite{haf} and \\cite{li}, we study the growth of the dimension of the set of $n$-qubit unitaries which can be obtained as a product of a fixed number of $2$-qubit gates from a fixed set of pairs of qubits. We show that this dimension increases strictly when one more pair is added, for at least some choice of the $2$-qubit pairs at each step.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23221",
  "author_total": 2,
  "authors": [
    {
      "name": "Jean-Luc Brylinski"
    },
    {
      "name": "Ranee Brylinski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/16teqekc0by0h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23221",
  "fulltext_url": null,
  "id": "16teqekc0by0h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23221",
  "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": "W7214032169",
  "pdf_url": "https://arxiv.org/pdf/2609.23221",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/16teqekc0by0h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23221",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23221"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "A remark on the Brown-Susskind conjecture",
  "title_text": "A remark on the Brown-Susskind conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/16teqekc0by0h",
  "venue": "arXiv",
  "versions": []
}