{
  "abstract": "Passive quantum error correction, also known as self-correction, is a holy grail in quantum information science. Recent theoretical advances suggest that the Gottesman-Kitaev-Preskill (GKP) code can exhibit self-correction properties, positioning it as a candidate for the realization of self-correcting quantum memories. In this article, we provide a self-contained derivation of the self-correcting behavior of the ideal GKP Hamiltonian, manifested in the Arrhenius type scaling of the logical lifetime, from a quantum-information perspective based on the subsystem code decomposition. When coupling through the physical quadrature $q$ and $p$, the detailed-balance jump operators decompose into a dominant part acting only on the gauge subsystem and a boundary term that acts non-trivially on the logical qubit. The boundary term is then exponentially suppressed by the Gibbs weights near the edge of the modular cells. In contrast to spin-based quantum memories such as the two-dimensional surface code, the GKP Hamiltonian realizes an effective string tension in modular phase space, whereby the energy cost increases as an error approaches the boundary of a logical sector.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07702",
  "author_total": 4,
  "authors": [
    {
      "name": "Brian Chung Hang Cheung"
    },
    {
      "name": "Lasse Bjørn Kristensen"
    },
    {
      "name": "Frederik Nathan"
    },
    {
      "name": "Michael Kastoryano"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0h2fqf87kmj2m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07702",
  "fulltext_url": null,
  "id": "0h2fqf87kmj2m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07702",
  "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": "W7212045053",
  "pdf_url": "https://arxiv.org/pdf/2609.07702",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0h2fqf87kmj2m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2609.07702",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07702"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Subsystem self-correction of the GKP qubit",
  "title_text": "Subsystem self-correction of the GKP qubit",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/0h2fqf87kmj2m",
  "venue": "arXiv",
  "versions": []
}