Geometric-Algebraic Hybrid Quantum Acceleration (GAQA)

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Abstract: This paper introduces the Geometric-Algebraic Hybrid Quantum Acceleration (GAQA) framework, a novel computational model designed to efficiently perform high-precision geometric computations and leverage quantum entanglement for accelerated calculations and storage. The framework integrates geometric transformations with algebraic operations, utilizing quantum entanglement to achieve significant speedups compared to traditional methods. We present a detailed explanation of the GAQA architecture, including the core mechanism of entanglement-enhanced geometric manipulation and its impact on computational efficiency. The paper details the implementation of GAQA, showcases its performance on a range of geometric problems, and discusses potential future research directions.

DOI: 10.5281/zenodo.22574536

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