{
  "abstract": "Quantum computers offer a significant advantage in simulating quantum systems compared to classical computers for certain problems, although most current applications are limited to calculating static molecular properties using hybrid quantum-classical hardware. In this work, we establish a framework for the representation of quantum dynamics in molecular and condensed matter systems, designed for execution on topological quantum hardware. By leveraging the non-Abelian braiding statistics of Fibonacci and Ising anyons, we utilize the Solovay-Kitaev algorithm to approximate unitary propagators for a range of systems. We demonstrate the efficacy of these algorithms across a hierarchy of complexity, from two-level systems and one dimensional double-well potentials to condensed phase spin-boson models, simple molecules, and molecular reaction kinetics. These algorithms provide a scalable and robust pathway for simulating many-body condensed phase chemical physics on fault-tolerant quantum devices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.19484",
  "author_total": 2,
  "authors": [
    {
      "name": "Kritanjan Polley"
    },
    {
      "name": "Mark E. Tuckerman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ab8hreg03y493.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.19484",
  "fulltext_url": null,
  "id": "ab8hreg03y493",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.19484",
  "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 Computing Algorithms and Architecture"
    ]
  ],
  "openalex": "W7213600546",
  "pdf_url": "https://arxiv.org/pdf/2609.19484",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ab8hreg03y493.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.19484",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.19484"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Scalable Simulation of Quantum Dynamics on Topological Quantum Hardware",
  "title_text": "Scalable Simulation of Quantum Dynamics on Topological Quantum Hardware",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:31Z",
  "url": "https://research.draconitic.com/paper/ab8hreg03y493",
  "venue": "arXiv",
  "versions": []
}