{
  "abstract": "We introduce a non-orthogonal amplitude amplification (NOAA) method for hybrid continuous-variable- discrete-variable (CV-DV) quantum processors, where the available CV-assisted projector is not perfectly se- lective for the target state. We establish a bound on the achievable target-state fidelity, which is determined by the initial target-state amplitude and the selectivity of the accessible reflection operator. This bound limits the performance of NOAA in hybrid CV-DV systems. To mitigate this limitation, we propose using a squeezed CV ancilla to reduce the overlap between relevant CV states and a hybrid quantum signal processing (HQSP) filter to suppress errors arising from imperfect knowledge of the target eigenenergy. Numerical simulations show that, for small initial target-state amplitudes, our protocol achieves higher fidelity and efficiency than the repeat-until-success (RUS) method despite the presence of non-orthogonality. For large initial amplitudes, RUS is already efficient, and amplitude amplification provides little additional advantage.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09353",
  "author_total": 3,
  "authors": [
    {
      "name": "Jiyuan Liu"
    },
    {
      "name": "Joel Bierman"
    },
    {
      "name": "Yuan Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8fykew3e14vbm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09353",
  "fulltext_url": null,
  "id": "8fykew3e14vbm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09353",
  "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 Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7220941319",
  "pdf_url": "https://arxiv.org/pdf/2610.09353",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8fykew3e14vbm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2610.09353",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09353"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Non-Orthogonal Amplitude Amplification for Hybrid CV-DV Quantum Processors",
  "title_text": "Non-Orthogonal Amplitude Amplification for Hybrid CV-DV Quantum Processors",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:37Z",
  "url": "https://research.draconitic.com/paper/8fykew3e14vbm",
  "venue": "arXiv",
  "versions": []
}