Title: Based on Non-Linear Geometric Topology for Quantum System Control
Jincheng Zhang
Abstract
Quantum systems pose significant challenges in achieving precise and stable control, particularly in complex environments. Traditional control algorithms often rely on static models, limiting their adaptability. This paper introduces a novel control algorithm leveraging the unique properties of non-linear geometric topology to address these challenges. We propose a method that dynamically adjusts the system's geometry based on feedback, enabling more robust and responsive control. The core mechanism hinges on the inherent non-linearity within the geometric structure, which allows for inherent stability and precise manipulation. This approach offers a fundamentally new perspective on quantum system control, potentially unlocking advancements in precision measurement, quantum computation, and quantum information processing.