基于图的量子态的动态模拟
Jincheng Zhang
Abstract
This paper presents a novel dynamic simulation approach for quantum states, leveraging the inherent topological properties of graphs to achieve precise state simulation and rapid state evolution. Traditional quantum state simulation relies heavily on classical computation, while this method utilizes graph structures to capture the complex interplay of states. We propose a method based on graph representation, iterative refinement, and a novel variational optimization scheme to generate accurate quantum state trajectories. The core mechanism involves constructing a graph-based model, iteratively refining the graph topology and applying variational optimization to map the state space. This allows for the simulation of quantum states with improved accuracy and the ability to rapidly explore the dynamics of complex quantum systems. This work offers a promising advancement in quantum state simulation, potentially enabling faster and more accurate calculations for various quantum algorithms and applications.