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.

arXiv:2609.19484 [quant-ph]

(or arXiv:2609.19484v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.19484 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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