Topological Quantum Simulation Adaptive Subspace
Jincheng Zhang
Abstract
This paper presents a novel quantum simulation algorithm, termed the Adaptive Subspace Quantum Simulation (ASQS), designed to enhance the accuracy of quantum system simulations through dynamic sub-space adjustment. Traditional quantum simulation methods frequently rely on fixed sub-spaces, limiting the potential for nuanced modeling and accurate results. This research introduces a framework where the quantum system's sub-space is continuously adapted to the input data, optimizing the simulation process. We detail the algorithm's design, implementation, and validation through a series of benchmark simulations. The results demonstrate a significant improvement in simulation accuracy and computational efficiency compared to existing approaches.