Non-Linear Topological Quantum Algorithm Stability Research
Jincheng Zhang
Abstract
This paper investigates the stability of non-linear topological quantum algorithms, focusing on the dynamic evolution of their underlying topology. We propose a novel stabilization strategy based on dynamic topology analysis, designed to mitigate the inherent instability of these algorithms and enhance their reliability. The core mechanism involves identifying and managing topological structure changes throughout the algorithm's execution, thereby ensuring consistent and predictable quantum computation. The research explores the potential of this approach to improve the robustness of topological quantum algorithms, addressing a critical challenge in the field.