Quantum Error Correction via Topological Embedding
Jincheng Zhang
Abstract
This paper explores a novel approach to quantum error correction leveraging the inherent robustness of topological quantum computing. We propose a framework for mapping classical quantum error correction codes onto non-equilibrium topological states, utilizing the topological protection mechanisms to achieve efficient error suppression. The core idea involves encoding error correction information within specific topological states, circumventing the limitations of localized error correction in traditional quantum systems. We detail a design strategy for embedding tailored topological codes, focusing on the manipulation of non-equilibrium topological states to enhance error resilience. This work represents a significant step towards scalable quantum computation by combining the established techniques of quantum error correction with the promising prospects of topological quantum computing. The theoretical framework presented here provides a foundation for future research and development in this area.