{
  "id": "oai:papers.qnfo.org:computational-toy-model-of-non-local-information-storage-in-a-quantum-cellular-automaton",
  "slug": "computational-toy-model-of-non-local-information-storage-in-a-quantum-cellular-automaton",
  "title": "Computational Toy Model of Non-Local Information Storage in a Quantum Cellular Automaton",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Can local, unitary dynamics generate the kind of non-local information storage that holographic quantum error correction requires? This paper revisits that question with a fully reproducible, exact state-vector simulation of a twelve-qubit quantum cellular automaton (QCA) evolving under the particle-conserving Fredkin gate. Two structural facts frame the investigation. First, the standard product-state initializations used in the earlier version of this work — including the all-zeros state — are fixed points of any permutation gate, and the earlier reported results are not reproducible under the methods as stated. Second, the mutual information between two probe qubits is exactly invariant under erasure of the qubits between them, under any erasure protocol; the meaningful quantities are therefore the correlations between the surviving segments and the correlations conditioned on the erased block. [...]",
  "abstract_markdown": "Can local, unitary dynamics generate the kind of non-local information storage that holographic quantum error correction requires? This paper revisits that question with a fully reproducible, exact state-vector simulation of a twelve-qubit quantum cellular automaton (QCA) evolving under the particle-conserving Fredkin gate. Two structural facts frame the investigation. First, the standard product-state initializations used in the earlier version of this work — including the all-zeros state — are fixed points of any permutation gate, and the earlier reported results are not reproducible under the methods as stated. Second, the mutual information between two probe qubits is exactly invariant under erasure of the qubits between them, under any erasure protocol; the meaningful quantities are therefore the correlations between the surviving segments and the correlations conditioned on the erased block. [...]",
  "date": "2026-01-01",
  "first_published": "2026-01-01",
  "last_revised": "2026-01-01T00:00:00Z",
  "modified": "2026-01-01T00:00:00Z",
  "version": "1.1.2",
  "version_count": 1,
  "language": "en",
  "keywords": [],
  "quality_tags": [
    "High-quality scholarly research",
    "open-access scholarly work",
    "versioned research publication"
  ],
  "quality_label": "High-quality scholarly research",
  "quality_basis": "QNFO publisher classification for open-access, versioned research with a public revision history and reader correction channel; this is not a claim of independent peer review.",
  "quality_evidence_url": "https://qnfo.org/about",
  "peer_review_status": "Not independently peer-reviewed",
  "resource_type": "ScholarlyArticle",
  "doi": null,
  "doi_url": null,
  "url": "https://papers.qnfo.org/papers/computational-toy-model-of-non-local-information-storage-in-a-quantum-cellular-automaton",
  "license_url": "https://legal.qnfo.org/",
  "license_spdx": null,
  "sha256": "7745cc6223597d9e23de28b8464ec0e0868b29f3be72c519b95959439b60b6b5",
  "version_url": "https://papers.qnfo.org/papers/computational-toy-model-of-non-local-information-storage-in-a-quantum-cellular-automaton/v/1.1.2",
  "datacite": {
    "schemaVersion": "http://datacite.org/schema/kernel-4",
    "identifiers": [
      {
        "identifier": "https://papers.qnfo.org/papers/computational-toy-model-of-non-local-information-storage-in-a-quantum-cellular-automaton",
        "identifierType": "URL"
      }
    ],
    "creators": [
      {
        "name": "Rowan Brad Quni-Gudzinas",
        "nameType": "Personal",
        "nameIdentifiers": [
          {
            "nameIdentifier": "https://orcid.org/0009-0002-4317-5604",
            "nameIdentifierScheme": "ORCID",
            "schemeUri": "https://orcid.org"
          }
        ]
      }
    ],
    "titles": [
      {
        "title": "Computational Toy Model of Non-Local Information Storage in a Quantum Cellular Automaton"
      }
    ],
    "publisher": "QNFO",
    "publicationYear": "2026",
    "resourceType": {
      "resourceTypeGeneral": "Text",
      "resourceType": "ScholarlyArticle"
    },
    "subjects": [
      {
        "subject": "High-quality scholarly research",
        "subjectScheme": "QNFO publisher classification",
        "schemeUri": "https://qnfo.org/about"
      },
      {
        "subject": "open-access scholarly work",
        "subjectScheme": "QNFO publisher classification",
        "schemeUri": "https://qnfo.org/about"
      },
      {
        "subject": "versioned research publication",
        "subjectScheme": "QNFO publisher classification",
        "schemeUri": "https://qnfo.org/about"
      }
    ],
    "dates": [
      {
        "date": "2026-01-01",
        "dateType": "Issued"
      },
      {
        "date": "2026-01-01",
        "dateType": "Updated"
      }
    ],
    "language": "en",
    "version": "1.1.2",
    "rightsList": [
      {
        "rightsUri": "https://legal.qnfo.org/"
      }
    ],
    "descriptions": [
      {
        "description": "Can local, unitary dynamics generate the kind of non-local information storage that holographic quantum error correction requires? This paper revisits that question with a fully reproducible, exact state-vector simulation of a twelve-qubit quantum cellular automaton (QCA) evolving under the particle-conserving Fredkin gate. Two structural facts frame the investigation. First, the standard product-state initializations used in the earlier version of this work — including the all-zeros state — are fixed points of any permutation gate, and the earlier reported results are not reproducible under the methods as stated. Second, the mutual information between two probe qubits is exactly invariant under erasure of the qubits between them, under any erasure protocol; the meaningful quantities are therefore the correlations between the surviving segments and the correlations conditioned on the erased block. [...]",
        "descriptionType": "Abstract"
      },
      {
        "description": "Publisher quality classification: High-quality scholarly research. QNFO publisher classification for open-access, versioned research with a public revision history and reader correction channel; this is not a claim of independent peer review.",
        "descriptionType": "Other"
      },
      {
        "description": "Peer review status: Not independently peer-reviewed",
        "descriptionType": "Other"
      }
    ],
    "formats": [
      "text/html"
    ]
  }
}