Non-linear Topological Structures: Impacts on Quantum Computing
Jincheng Zhang
Abstract
This paper investigates the potential influence of non-linear topological structures on quantum computing, focusing on leveraging topological properties for optimization and enhanced computational efficiency. The core claim posits that by strategically manipulating topological properties, we can significantly improve the performance of existing quantum computing architectures. The research will explore the impact of topological invariants and their manipulation through optimization techniques, ultimately aiming to identify novel approaches to scaling quantum systems. We examine the theoretical underpinnings of these interactions and present a preliminary analysis of potential applications. The paper concludes with a discussion of future research directions, emphasizing the transformative potential of non-linear topological structures within the field of quantum computing.