Geometric-Algebraic Hybrid Quantum Computing (GAHQ)
Jincheng Zhang
Abstract
This paper introduces the Geometric-Algebraic Hybrid Quantum Computing (GAHQ) framework, a novel algorithmic approach designed to efficiently perform high-precision geometric operations and leverage quantum entanglement for accelerated computation and storage. Traditional methods struggle with the complexities of accurate geometric calculations, prompting the development of this framework. GAHQ integrates geometric transformations with algebraic operations, employing quantum entanglement to enhance computational efficiency and storage capabilities. This paper details the design of the GAHQ algorithm, its theoretical advantages, and initial experimental results demonstrating its potential for significant advancements in geometric computation and quantum information processing.