{
  "abstract": "Measurements and feedforward enhance the power of shallow quantum circuits, enabling the deterministic implementation of global unitary operations and the preparation of long-range entangled states. We establish a general correspondence between all such protocols and quantum error-correcting codes: the circuit preceding the measurements acts as an encoder, and unitary feedforward can eliminate post-selection if and only if the measurement projectors are detectable errors on the codespace. This correspondence provides a common framework for state preparation and implementation of global unitaries with measurements and feedforward, turning both into a code-design problem. For stabilizer codes with Pauli measurements, although the resulting operation can be non-Clifford, we show that its nonstabilizerness originates entirely from the encoder. We overcome this restriction using non-Pauli measurements or non-additive codes, constructing protocols that generate long-range nonstabilizerness while requiring only single-qubit unitary corrections.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39764",
  "author_total": 2,
  "authors": [
    {
      "name": "Georgios Styliaris"
    },
    {
      "name": "Rahul Trivedi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bap96ahvdy34v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39764",
  "fulltext_url": null,
  "id": "bap96ahvdy34v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.39764",
  "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": "W7215128432",
  "pdf_url": "https://arxiv.org/pdf/2609.39764",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bap96ahvdy34v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.39764",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39764"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Measurement and feedforward circuits from quantum error correcting codes",
  "title_text": "Measurement and feedforward circuits from quantum error correcting codes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/bap96ahvdy34v",
  "venue": "arXiv",
  "versions": []
}