{
  "abstract": "Gaussian boson sampling requires control of how closely finite optical matrices follow Gaussian reference laws. We prove an explicit total variation bound of order $N^2/M$ between a rescaled Haar transpose Gram block and its Gaussian transpose Gram counterpart, where $N$ is the detected photon count and $M$ is the number of optical modes. The bound establishes quantitative product hiding uniformly over every number of squeezed inputs. The proof combines Stiefel recursion, centered circular orthogonal ensemble scores, and a rectangular entropy estimate. Applications combine hiding with local hafnian bounds to obtain relative probability guarantees and connect them to sampler error through exact photon-sector normalization.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01008",
  "author_total": 1,
  "authors": [
    {
      "name": "Hongru Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0npe2ppf1ca9a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01008",
  "fulltext_url": null,
  "id": "0npe2ppf1ca9a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01008",
  "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": "W7206218153",
  "pdf_url": "https://arxiv.org/pdf/2609.01008",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0npe2ppf1ca9a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.01008",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01008"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Uniform Hiding and Two Routes to Relative Accuracy in Gaussian Boson Sampling",
  "title_text": "Uniform Hiding and Two Routes to Relative Accuracy in Gaussian Boson Sampling",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/0npe2ppf1ca9a",
  "venue": "arXiv",
  "versions": []
}