Topological Properties of Microscopic Quantum Computing
Jincheng Zhang
Abstract
The study of topological quantum computing aims to leverage its unique properties to overcome the inherent challenges of traditional quantum computing, specifically focusing on enhancing qubit stability and enabling novel computational paradigms. This paper explores the fundamental properties of topological quantum states, investigates how these properties translate into advantages within quantum algorithms and architectures, and proposes a new approach to quantum computation based on the principles of topology. We investigate the potential of using topological defects to improve qubit coherence and entanglement, highlighting the importance of this approach in addressing current limitations of existing quantum technologies. The research will delve into the design of algorithms that exploit these topological features, demonstrating their potential to yield significant performance improvements.