Quantum Simulation of Non-Linear Material Dynamics
Jincheng Zhang
Abstract
Quantum simulation offers unprecedented opportunities to understand and manipulate complex material systems, overcoming the inherent limitations of classical approaches. This paper explores the implementation of a quantum simulation algorithm, leveraging a variational quantum eigensolver (VQE) approach and a novel quantum error correction scheme, to simulate the non-linear dynamics of complex material systems. We detail the theoretical framework, algorithm implementation, and preliminary results demonstrating improved accuracy and efficiency compared to classical simulations. The core claim is that this quantum approach will surpass classical simulations in handling intricate material systems, particularly those exhibiting non-linear dynamics.