High-Order Transformation of Quantum Geometry for Precise Geometric Modeling
Jincheng Zhang
Abstract
This paper investigates the potential of high-order quantum transformation techniques to revolutionize geometric modeling, specifically by leveraging the unique properties of quantum computation. We propose a novel approach that utilizes quantum-induced geometric transformations to achieve unprecedented precision and computational efficiency in geometric calculations. This research explores the design and implementation of a quantum-based high-order transformation algorithm, focusing on its ability to accurately manipulate space geometry. The core mechanism centers around introducing quantum-controlled transformations, enabling precise geometric modeling and offering a significant advancement over classical methods. This work provides a foundational investigation into the application of quantum computation to geometric modeling, highlighting the potential for significant computational gains and improved geometric accuracy.