{
  "abstract": "An algorithm is presented for Kraus decomposition of a completely positive operator over separable (countably-infinite-dimensional) Hilbert spaces, together with an elementary proof that the generated sum convergences in strong-operator topology. This improves on the standard, nonconstructive, proof by fusing the abstract problem with practical process tomography. Kraus operators are generated one-by-one, each having one more guaranteed zero matrix entry than the previous one. In this way, the stream of outputs of the algorithm provides a coherent family of Kraus decompositions of restrictions of the target CP map to ever-larger subspaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.07207",
  "author_total": 1,
  "authors": [
    {
      "name": "Paul E. Lammert"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/09ddrfj0vk0wx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.07207",
  "fulltext_url": null,
  "id": "09ddrfj0vk0wx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.07207",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "1702|Quantum Information and Cryptography"
    ]
  ],
  "openalex": "W7202142117",
  "pdf_url": "https://arxiv.org/pdf/2608.07207",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/09ddrfj0vk0wx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2608.07207",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.07207"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Existence of Kraus decomposition in infinite dimension via strongly-convergent direct process tomography",
  "title_text": "Existence of Kraus decomposition in infinite dimension via strongly-convergent direct process tomography",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/09ddrfj0vk0wx",
  "venue": "arXiv",
  "versions": []
}