Quantum Adaptive Geometry Computational Paradigm
Jincheng Zhang
Abstract
Quantum Adaptive Geometry Computational Paradigm is a novel computational paradigm centered on the manipulation of quantum states to accelerate matrix operations. This paper explores the potential of dynamically adjusting quantum states to achieve significant improvements in matrix calculations, particularly in handling complex matrix transformations and larger matrices. We outline the core mechanism, including the application of quantum entanglement and superposition to dynamically evolve the quantum state, and provide a preliminary analysis of its performance compared to classical methods. The research focuses on addressing limitations of traditional matrix operations and offers a promising approach to enhancing computational efficiency.