{
  "abstract": "We translate the one-mode unitary-dilation framework for nonunitary linear dynamics into a gate-level hybrid oscillator--qubit architecture. An ancillary oscillator encodes the kernel through state preparation and postselection, while a qubit register simulates the discretized system operator. The construction applies to time-independent dynamics $\\dot u=-(L+iH)u$, including discretized partial differential equations, and removes the $\\mathcal{O}(\\log M_a)$ ancilla-qubit overhead of a discrete-variable (DV) $M_a$-term quadrature register. We bound the ideal state's squeezed-Fock coefficient-projection error, which decays superalgebraically in cutoff $N$ for Schwartz-class kernels and at a stretched-exponential rate under stronger joint decay and smoothness assumptions. The finite squeezed-Fock state generically has stellar rank $N-1$, making $N$ a measure of the oracle's non-Gaussian resource. For oscillator dimension $N_{\\mathrm{Fock}}$, a $p$th-order product formula reaches error $ε_t$ in $\\mathcal{O}(t^{1+1/p}N_{\\mathrm{Fock}}^{(p+1)/(2p)}ε_t^{-1/p})$ Trotter steps, up to generator-dependent commutator factors. A perturbation bound separates total scaled-map error from postselection probability. We benchmark Law--Eberly synthesis and assess variational SNAP+$\\mathcal D$ state preparation on heat and advection--diffusion equations. At the prescribed DV sizing, the hybrid CV--DV route has smaller fixed-scale error in all ten instances, while the DV route accepts with fewer repetitions in every instance. These results quantify when a continuous qumode can replace a discretized ancilla register.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.10708",
  "author_total": 6,
  "authors": [
    {
      "name": "Elin Ranjan Das"
    },
    {
      "name": "Muqing Zheng"
    },
    {
      "name": "Rishab Dutta"
    },
    {
      "name": "Ang Li"
    },
    {
      "name": "Timothy Stavenger"
    },
    {
      "name": "Yuan Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4eb2n7b6t2dbe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.10708",
  "fulltext_url": null,
  "id": "4eb2n7b6t2dbe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.10708",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2605.10708",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4eb2n7b6t2dbe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2605.10708",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.10708"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Gate-Level Quantum Simulation of Nonunitary Linear Dynamics with Hybrid Oscillator-Qubit Architecture",
  "title_text": "Gate-Level Quantum Simulation of Nonunitary Linear Dynamics with Hybrid Oscillator-Qubit Architecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/4eb2n7b6t2dbe",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1088/2058-9565/aea2c6",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}