自适应几何拓扑的量子拓扑扩展
Jincheng Zhang
Abstract
This paper introduces a novel quantum topology expansion algorithm based on adaptive geometric topology. Traditional topological expansion methods often rely on fixed parameters, limiting the potential for enhanced computational capabilities. Our approach utilizes quantum geometry, dynamically adjusting the topology to expand the computational space of quantum computers. We demonstrate the effectiveness of this algorithm through a rigorous analysis of its impact on computation complexity and performance. The core mechanism involves the iterative adjustment of topological parameters to maximize the expansion of the Hilbert space, ultimately leading to improved results. This work represents a significant advancement in quantum topology, offering a flexible and powerful method for expanding quantum computation.