{
  "abstract": "We establish a conditional quantum Kac-Bernstein theorem for mixing of two independent, finite-mode bosonic inputs with quantum memories. We characterize exactly when the outputs are conditionally independent given both memories. Each input then decomposes into orthogonal memory sectors sharing a common Gaussian state on the physical system and a bosonic memory factor, up to sector-dependent physical displacements. In particular, triviality of the common bosonic factor implies separability of the inputs, as occurs whenever either memory has finite-dimensional support.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04363",
  "author_total": 3,
  "authors": [
    {
      "name": "Hesam Hosseini"
    },
    {
      "name": "Jinpei Zhao"
    },
    {
      "name": "Masahito Hayashi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0gtg50bn3em6h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04363",
  "fulltext_url": null,
  "id": "0gtg50bn3em6h",
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  "landing_url": "https://arxiv.org/abs/2611.04363",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.IT"
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      "arxiv",
      "math.MP"
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      "arxiv",
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04363",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0gtg50bn3em6h.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.04363",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04363"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "A Conditional Quantum Kac-Bernstein Theorem",
  "title_text": "A Conditional Quantum Kac-Bernstein Theorem",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/0gtg50bn3em6h",
  "venue": "arXiv",
  "versions": []
}