Topological Quantum States for Quantum Computing
Jincheng Zhang
Abstract
This paper explores the potential of topological quantum states for constructing a novel quantum computing architecture. The core claim centers on leveraging the inherent robustness and stability offered by topological quantum states to mitigate the challenges associated with decoherence and errors in conventional quantum computing. The proposed mechanism involves designing a physical implementation of qubits based on topological properties, specifically exploiting their natural resilience to local perturbations. This approach aims to achieve quantum computation with enhanced reliability. The paper details the theoretical framework, focusing on the mathematical representation of topological qubits and the associated quantum gates. It investigates the fundamental properties that contribute to the fault-tolerant nature of topological quantum systems. Finally, it outlines a potential roadmap for advancing this technology, recognizing the significant research and development efforts required to realize its full potential.