Dynamic Topological Geometry Field Theory
Jincheng Zhang
Abstract
Dynamic Topological Geometry Field Theory explores the application of non-linear topological structures in quantum computing and information theory, proposing a quantum error correction protocol based on dynamic topology that leverages topological structure to reduce quantum noise. This paper introduces a novel approach to quantum error correction that utilizes dynamic topology transformations to embed the topological structure into the quantum state computation process, enabling self-adaptive error correction and information encoding. This research addresses limitations of traditional quantum error correction by offering a fundamentally different mechanism that exploits the inherent robustness of topological spaces. The core mechanism involves introducing dynamic topology transformations to embed the topological structure into the quantum state calculation, facilitating self-adaptive error correction and information encoding. The proposed protocol offers significant advantages in terms of noise resistance and information protection compared to current approaches.