Scalable Simulation of Quantum Dynamics on Topological Quantum Hardware

Kritanjan Polley; Mark E. Tuckerman

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arXiv · 2609.19484

Scalable Simulation of Quantum Dynamics on Topological Quantum Hardware

Kritanjan Polley·Mark E. Tuckerman

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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.

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Kritanjan Polley, Mark E. Tuckerman. 2026-09-16. Scalable Simulation of Quantum Dynamics on Topological Quantum Hardware. https://arxiv.org/abs/2609.19484

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