基于量子拓扑的自适应几何计算
Jincheng Zhang
Abstract
This paper introduces a novel quantum topological geometry computing framework, leveraging geometric topology to optimize computational processes and enhance accuracy and efficiency. The core mechanism centers around a dynamically adaptable geometry that allows for precise manipulation of parameters within a defined topological space, enabling the exploration of complex and highly sensitive systems. We demonstrate the framework's efficacy through a series of theoretical and applied examples, showcasing its ability to address challenges in various fields, including materials science, quantum control, and topology optimization. The work establishes a new paradigm for geometric computation, offering a fundamentally different approach to addressing computational problems rooted in topological principles.