Adaptive Quantum Geometry: Dynamic Topology Mapping and Optimization

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper explores the application of adaptive quantum geometry to dynamic topology mapping and optimization. We introduce a novel method for generating and manipulating quantum states based on a dynamically evolving geometric structure. This approach utilizes a feedback loop that iteratively adjusts parameters to achieve complex calculations and optimize outcomes. The core concept lies in leveraging the inherent properties of quantum geometry – specifically, its sensitivity to initial conditions and its ability to exhibit complex, non-intuitive transformations – to guide the optimization process. The method's potential impact spans diverse fields, including materials science, quantum computing, and optimization algorithms, offering a paradigm shift in how we approach complex problems. This work presents a framework for dynamically shaping quantum states, enabling unprecedented levels of control and precision in computational and analytical tasks.

DOI: 10.5281/zenodo.22317682

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