{
  "abstract": "In this note, we consider tomography of $n$-qubit quantum states $|ψ\\rangle$ that are promised to have stabilizer rank $k$ i.e., admit a stabilizer decomposition of $|ψ\\rangle = \\sum_{i=1}^k c_i |ϕ_i\\rangle$ where each $|ϕ_i\\rangle$ is a stabilizer state. We give a tomography protocol for such states up to trace distance $\\varepsilon > 0$ running in $\\textsf{poly}(n,2^k,1/\\varepsilon)$ time and thus can handle $k=O(\\log n)$ efficiently. This follows from first showing that the stabilizer extent $ξ(|ψ\\rangle)$, which is the minimal $\\ell_1$ norm over the coefficients $\\{c_i\\}$ of any stabilizer decomposition of $|ψ\\rangle$, can be bounded as $ξ(|ψ\\rangle) \\leq 2^{O(k)}$ and improving upon the previous best bound of $k^{O(k)}$. The protocol is then obtained by utilizing a tomography protocol for states with bounded stabilizer extent.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03658",
  "author_total": 1,
  "authors": [
    {
      "name": "Arkopal Dutt"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1jzw14km2gwhp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03658",
  "fulltext_url": null,
  "id": "1jzw14km2gwhp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03658",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7220415947",
  "pdf_url": "https://arxiv.org/pdf/2610.03658",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1jzw14km2gwhp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.03658",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03658"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "A note on tomography of states with low stabilizer rank",
  "title_text": "A note on tomography of states with low stabilizer rank",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/1jzw14km2gwhp",
  "venue": "arXiv",
  "versions": []
}