基于非线性拓扑的量子计算的拓扑优化算法
Jincheng Zhang
Abstract
Quantum computing offers unprecedented computational power, but the design and optimization of quantum circuits often face significant challenges, particularly in the context of complex quantum algorithms. This paper proposes a novel approach to quantum computing, utilizing a modified version of the topological optimization algorithm, to address these challenges. We introduce a new framework that leverages the inherent topological properties of quantum systems to dynamically adjust the structure of quantum circuits, enabling more efficient and robust optimization. The core mechanism focuses on exploiting the non-linear nature of topological spaces to guide the evolution of quantum states, ultimately improving the performance of quantum algorithms. This research explores the potential of this approach to tackle specific problems in quantum information processing and highlights its advantages over existing methods.