Quantum Chaos Integration Quantification: An Adaptive Mapping Approach

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

The study of chaotic systems presents significant challenges in computational analysis and control. Traditional methods often struggle with the inherent complexity of these systems, limiting their applicability. This paper proposes a novel approach to quantifying chaos through an adaptive mapping technique, designed to transform the computational complexity of chaotic integrals into a reversible mathematical operation. We leverage the unique properties of quantum computation, specifically quantum entanglement, to optimize the calculation process and achieve accelerated computations. The core mechanism centers around a mapping algorithm that directly quantifies the inherent difficulty of chaotic integrals, enabling efficient manipulation and analysis. This work offers a promising pathway towards bridging the gap between chaotic systems and computationally tractable methods, particularly through the potential of quantum algorithms.

DOI: 10.5281/zenodo.22582302

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