Geometric Information Encoding for Quantum Computation
Jincheng Zhang
Abstract
This paper explores the application of geometric information encoding as a novel approach to enhance quantum computation's efficiency and stability. The core concept revolves around leveraging the inherent geometric properties of quantum systems to guide algorithm design and improve quantum state preservation. We present a preliminary design of an algorithm that utilizes geometric transformations to subtly manipulate quantum states, potentially leading to enhanced coherence and reduced error rates. The investigation focuses on the potential benefits of this technique in specific quantum algorithms, particularly those involving complex rotations and transformations. The paper concludes with a discussion of future research directions, including theoretical analysis and experimental validation.