Title: Non-Linear Harmonic Analysis with Quantum Feedback

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the application of non-linear harmonic analysis with quantum feedback to address complex systems exhibiting non-linear dynamics and potential for quantum effects. Traditional harmonic analysis, often reliant on analytical approximations, struggles to accurately represent and analyze such systems. This work proposes a novel approach leveraging quantum measurements to dynamically adjust parameters within the harmonic framework, leading to enhanced accuracy and efficiency. The core mechanism centers around a quantum feedback loop that iteratively refines the analysis, mitigating the limitations of conventional methods. We demonstrate the efficacy of this technique through a series of illustrative examples, showcasing its potential to unlock new insights into phenomena previously inaccessible through traditional harmonic analysis. The paper explores the theoretical foundations and practical implementation of this approach, highlighting its advantages and limitations.

DOI: 10.5281/zenodo.22195104

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