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Quantum Chaos Field Theory: A Novel Approach to Quantum Control

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

Abstract

Quantum Chaos Field Theory (QCL) offers a fundamentally different perspective on quantum systems, emphasizing the role of chaotic dynamics and self-organization. This paper explores the potential of QCL to revolutionize quantum control, specifically focusing on the design of a novel quantum control mechanism that leverages self-organizing properties to achieve precise manipulation of quantum systems and accurate quantum simulation. The core claim is that this mechanism enables controlled quantum behavior through the interplay of quantum entanglement, quantum field theory, and self-adaptive control. This work explores the design of a QCL-based control framework, demonstrating its potential for achieving precise quantum simulation and quantum system manipulation. The paper details the conceptual framework, mathematical model, and preliminary experimental results demonstrating the feasibility of the proposed approach. The significance of this work lies in the potential for creating more versatile and controllable quantum systems, paving the way for advancements in quantum information processing and quantum simulation.

DOI
10.5281/zenodo.22489225

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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.
This paper presents a novel approach to modeling and controlling quantum chaotic systems. The core idea revolves around leveraging the principles of quantum dynamics to construct accurate mathematical models of chaotic systems, followed by the application of quantum control techniques for precise manipulation and prediction. The methodology addresses a critical gap in the current research landscape, which is the nascent stage of quantum chaos studies. This work lays the groundwork for future advancements in this field, offering a systematic framework for both modeling and control. Specifically, we outline a model construction process based on the Schrödinger equation and detail control strategies utilizing quantum interference and feedback mechanisms. The presented framework has potential applications in areas such as quantum simulation, secure communication, and precision measurement.
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