Non-Linear Adaptive Quantum Algorithms: A Quantum Stability Study

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Quantum algorithms are increasingly vital for complex computations, but their stability is a significant challenge. This paper investigates the stability of non-linear adaptive quantum algorithms, exploring novel stabilization strategies leveraging quantum state properties. We present a theoretical framework for assessing and mitigating potential instability arising from these algorithms through a combination of quantum state analysis and optimization techniques. The core claim is that a tailored approach based on quantum state manipulation can significantly enhance the stability of these algorithms, offering a promising path toward practical quantum computing. The study incorporates a detailed analysis of key stability metrics and proposes a practical stabilization technique centered around the manipulation of entanglement and superposition. The research demonstrates the potential of this approach to improve the reliability of non-linear adaptive quantum algorithms.

DOI: 10.5281/zenodo.22332167

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