Fast-forwarding algorithm for quantum nuclear dynamics

Grasping the nature of quantum nuclear dynamics is a cornerstone in our understanding of both chemical reactions and fusion reactions. Despite this, most quantum algorithms currently employed in many-body quantum physics/chemistry have been narrowly focused on eigenstate estimation, including ground and excited states. As a result, the vast landscape of quantum dynamics has remained relatively untouched. To address this void, our work is focused on the development of a quantum algorithm designed specifically to simulate quantum nuclear dynamics—a task that proves difficult for classical computers. Quantum Fast-Forwarding, an innovative method, presents a promising avenue for accelerating the time-evolution of quantum states. This makes it a highly effective tool for modeling nuclear dynamics beyond what is achievable with conventional coherence times. In this work, we have created an advanced Quantum Krylov subspace-based algorithm that enables the efficient exploration of quantum nuclear dynamics. The significant advancements we've made underscore the potential that quantum computing holds for shedding light on the intricate complexities of nuclear dynamics. This not only enhances our current understanding but also creates fresh opportunities for research in areas such as chemical reactions and fusion reactions.