Geometry-Based Mapping for Quantum Computing
Jincheng Zhang
Abstract
This paper introduces a novel quantum computing approach, termed Geometric-Based Mapping, that leverages the inherent properties of geometric structures to enhance the efficiency and stability of quantum computations. Traditional approaches often focus on manipulating quantum states, but this method employs geometric mappings to optimize quantum behavior. The core mechanism involves a carefully designed mapping process, resulting in improved quantum gate fidelity and reduced errors, potentially offering significant advantages in specific applications. The work addresses the limitations of current quantum algorithms by strategically utilizing geometric transformations to mitigate issues arising from inherent quantum decoherence and gate imperfections. This paper explores the theoretical foundations and practical implementation of this approach, demonstrating its potential to unlock new capabilities in quantum information processing.