Non-Linear Geometric Functions for Precise Quantum State Modeling
Jincheng Zhang
Abstract
Quantum computing offers unprecedented computational power, but its implementation faces significant challenges due to the inherent complexity of quantum states. Accurate modeling of quantum states is crucial for efficient quantum algorithms and control. This paper proposes a novel approach to quantum state modeling utilizing non-linear geometric functions, aiming to achieve a more precise and robust representation than traditional methods. We detail the methodology, demonstrate its efficacy through a specific example, and outline the potential impact on optimization and control within the quantum realm. The core claim is that this method facilitates a deeper understanding of quantum systems and enables the development of advanced quantum algorithms.