Scalable Simulation of Quantum Dynamics on Topological Quantum Hardware
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.
Related
- Two-Dimensional Materials toward CMOS-Compatible Scalable Quantum Hardware
- Trial-space co-design for quantum simulation on noisy hardware
- HybridQC: Hardware-Grounded Simulation of Tightly Integrated Hybrid Quantum-Classical Systems
- Quantum Machine Learning for Cybersecurity Applications: Simulation and Hardware Validation
- Agentic Pipelines for Mapping Topological Codes to Quantum Hardware
BibTeX
@misc{polley2026scalable,
title = {{Scalable Simulation of Quantum Dynamics on Topological Quantum Hardware}},
author = {Kritanjan Polley and Mark E. Tuckerman},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.19484},
eprint = {2609.19484},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.19484},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Scalable Simulation of Quantum Dynamics on Topological Quantum Hardware
AU - Kritanjan Polley
AU - Mark E. Tuckerman
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.19484
UR - https://arxiv.org/abs/2609.19484
AB - 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.
ER -