Chaos Dynamics and Quantum Entanglement Control

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential for controlling chaotic dynamics within dynamical systems by leveraging the principles of quantum entanglement. The core claim is that the inherent complexity of chaotic systems can be precisely manipulated through the utilization of quantum entanglement. We propose a mechanism whereby entanglement is used to target and modify key parameters governing the chaotic behavior. The theoretical framework presented outlines a methodology for achieving this control, focusing on the intricate relationship between classical chaos and quantum correlations. This work offers a novel approach to chaos control, potentially leading to advancements in areas such as secure communication, precision sensing, and advanced control systems. The paper details the mathematical formulation, focusing on the manipulation of the system's Hamiltonian and the corresponding evolution equations. The central equation governing the system's dynamics is presented, alongside methods for quantifying the degree of entanglement and its impact on the system's trajectory. Finally, we discuss the challenges and future directions of this research area.

DOI: 10.5281/zenodo.22191552

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