{
  "abstract": "We study transmission of a Greenberger-Horne-Zeilinger (GHZ) state over nonunitary quantum multiple-input multiple-output (QuMIMO) channels using finite-energy Gottesman-Kitaev-Preskill (GKP) encoding. A coupled-mode model describes coherent mixing, mode-dependent attenuation, and Gaussian noise. The transceiver combines programmable passive meshes, quantum-limited MMSE gain, local GKP recovery, and joint classical syndrome decoding. We optimize complex-Givens lattices using instantaneous channel-state information (CSI), current singular values with channel statistics, or statistics alone. Simulations show that joint lattice shaping outperforms product GKP processing. Under coherent-basis drift, full instantaneous CSI improves GHZ-state preservation, whereas singular-value conditioned and fully statistical designs perform similarly because neither resolves the current singular frames. These findings identify singular-frame geometry as a critical resource beyond attenuation knowledge where joint GKP processing adapts the logical lattice and receiver to anisotropic bosonic noise rather than merely inverting multimode mixing.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05992",
  "author_total": 4,
  "authors": [
    {
      "name": "Seid Koudia"
    },
    {
      "name": "Selssabil Kadid"
    },
    {
      "name": "Symeon Chatzinotas"
    },
    {
      "name": "Mérouane Debbah"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/641xvv7bbe2xe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05992",
  "fulltext_url": null,
  "id": "641xvv7bbe2xe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05992",
  "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 Information and Cryptography"
    ]
  ],
  "openalex": "W7220649150",
  "pdf_url": "https://arxiv.org/pdf/2610.05992",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/641xvv7bbe2xe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2610.05992",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05992"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Joint GKP Encoding for GHZ States Transmission over Bosonic Quantum MIMO Channels",
  "title_text": "Joint GKP Encoding for GHZ States Transmission over Bosonic Quantum MIMO Channels",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/641xvv7bbe2xe",
  "venue": "arXiv",
  "versions": []
}