Quantum Information Flow: Topological Encoding and Decoding
Jincheng Zhang
Abstract
This paper presents a novel approach to quantum information processing leveraging topological encoding and decoding. The core concept involves encoding quantum information within topological defects, utilizing the inherent protection offered by topological structures to achieve robust quantum transmission and storage. We propose a scheme where quantum states are mapped onto specific topological defects, and subsequent decoding relies on topological decoders to reconstruct the original information. The proposed method addresses the challenges of decoherence and errors inherent in quantum communication by exploiting the topological robustness of the encoded information. Mathematical formulations detail the encoding and decoding processes, focusing on the key metrics of fidelity and error rates. The ultimate goal is to enhance the reliability and efficiency of quantum information transfer across complex networks.