{
  "abstract": "Fast control of long-lived quantum registers often relies on an auxiliary degree of freedom, a mediator, but real mediator excitation can introduce decoherence, leakage, or loss when the mediator is not the coherence-optimized component. We introduce dispersive interaction via analytical linear inversion (DIAL), an analytical control construction for excitation-suppressed interaction engineering in mediator-coupled quantum registers. In the dispersive regime, we show that off-resonant driving of an effective two-level mediator transition yields a diagonal Hamiltonian whose Pauli-\\(Z\\) interaction rates depend linearly on the drive intensities through a transfer matrix determined by the register-resolved transition spectrum. This establishes a direct linear map from experimentally accessible controls to induced multi-qubit interactions, enabling control design without iterative propagation of the full driven dynamics. We turn this structure into the target-aware DIAL algorithm, which selects favorable off-resonant tones and determines their drive intensities for a prescribed target interaction. We benchmark the resulting controls across 100 register realizations for each register size \\(n=2,3,4,5\\), targeting the highest-order interaction \\(Z_1\\cdots Z_n\\) with an interaction phase of magnitude \\(π/4\\), which generates an \\(n\\)-qubit GHZ state up to local equivalence. Propagation under the full driven mediator-register dynamics yields typical gate fidelities above \\(0.997\\), while the maximum transient mediator excitation remains near \\(1\\%\\) on average, far below what is typically possible with resonant Rabi drives. The manuscript is accompanied by an open-source Python package implementing the target-aware DIAL algorithm and the associated numerical validation workflow.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03064",
  "author_total": 5,
  "authors": [
    {
      "name": "Bora Baran"
    },
    {
      "name": "Tommaso Calarco"
    },
    {
      "name": "James O'Sullivan"
    },
    {
      "name": "Matthias M. Müller"
    },
    {
      "name": "Felix Motzoi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cbyes2qgep6g7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03064",
  "fulltext_url": null,
  "id": "cbyes2qgep6g7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03064",
  "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 Information and Cryptography"
    ]
  ],
  "openalex": "W7220383597",
  "pdf_url": "https://arxiv.org/pdf/2610.03064",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cbyes2qgep6g7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.03064",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03064"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Analytical controls for dispersive multi-qubit interactions in mediator-coupled quantum registers",
  "title_text": "Analytical controls for dispersive multi-qubit interactions in mediator-coupled quantum registers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/cbyes2qgep6g7",
  "venue": "arXiv",
  "versions": []
}