基于高维拓扑的量子算法设计
Jincheng Zhang
Abstract
This paper explores the application of high-dimensional topology to quantum algorithm design, aiming to enhance the efficiency and precision of quantum computation. Traditional quantum algorithms often rely on classical algorithms, and this integrated approach offers a potential pathway to more powerful and robust quantum systems. We introduce a novel quantum algorithm predicated on the topological properties of complex Hilbert spaces, demonstrating its capacity to achieve significant improvements in quantum computation through algorithmic optimization. The core mechanism focuses on manipulating the inherent structure of the Hilbert space to facilitate faster and more accurate computations. This work represents a significant step towards developing quantum algorithms with enhanced capabilities and adaptability.