Information Theory and Quantum Chaos: A Novel Framework
Jincheng Zhang
Abstract
This paper explores the intersection of information theory and quantum chaos, proposing a novel framework to understand the evolution and resonance of chaotic systems. We introduce a quantum chaos model based on information entropy, demonstrating how this approach can predict and potentially control the behavior of quantum systems. The core claim is that information plays a fundamental role in the emergence of chaos in quantum systems, and that analyzing information-theoretic properties can guide the design of robust quantum algorithms. This work moves beyond traditional chaos theory by incorporating information principles, offering a new perspective on the dynamics of quantum phenomena. We detail the model's mathematical foundation, explain the connection between information entropy and the emergence of chaos, and present preliminary results demonstrating the model's predictive capabilities. The paper concludes with a discussion of the implications for quantum computing and information processing.