Information Entropy Calculation & Quantum Topology
Jincheng Zhang
Abstract
This paper explores the application of quantum topology to information entropy calculation, presenting a novel algorithm that leverages this structure for enhanced computational efficiency. We propose a quantum computation framework centered around "information encoding-decoding," aiming to significantly improve compression and communication strategies. The core mechanism centers around utilizing quantum topological properties to build a more efficient and robust system for information processing. The paper details the algorithm's design, the theoretical underpinnings of the quantum topology approach, and preliminary results demonstrating potential improvements over existing methods. The investigation considers the implications of this approach for understanding fundamental information theory and its applications in data compression and secure communication.