Topological Information Encoding
Jincheng Zhang
Abstract
This paper explores the application of topological information encoding as a novel approach to data compression and transmission, particularly within the context of complex quantum systems. Traditional data encoding methods often focus on representing data mathematically, while this work leverages the inherent properties of topological structures to achieve superior compression and transmission efficiency. We present a methodology that encodes quantum states directly into topological graphs, exploiting the graph's inherent structure to minimize redundancy and enhance data representation. The paper details the core mechanisms, the potential advantages of this approach, and preliminary results demonstrating its effectiveness in a simplified quantum context. The goal is to investigate a paradigm shift in data compression techniques, offering a more robust and potentially transformative solution for handling complex quantum data.