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Jincheng Zhang
Abstract
This paper introduces a novel adaptive mapping approach for quantum computing parameter control, leveraging the principles of non-linear geometry. Traditional quantum computing relies heavily on numerical methods for parameter optimization. We propose a framework that dynamically adjusts quantum system parameters through the manipulation of non-linear geometric structures, enabling continuous and responsive control over quantum states. This design offers a potentially transformative shift in the capabilities of quantum computation, allowing for more efficient exploration of parameter space and enhanced performance. The proposed method is based on the principle of self-similarity and the inherent adaptability of certain geometric structures within quantum systems. The paper details the mathematical formulation of the adaptive mapping process, provides a preliminary analysis of its performance, and outlines potential future research directions.