Nonlinear Quantum Topology: Adaptive Mapping via Geometric Path Optimization

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a fascinating field, offers a unique perspective on the properties of space and time. This paper explores the application of non-linear quantum topology to adaptive mapping, specifically through the use of geometric path optimization. We introduce a novel algorithm that leverages the dynamic evolution of quantum topology represented by geometric paths to achieve precise parameter control and optimization. The core mechanism centers around constructing a quantum path representation, modeling its evolution, and employing optimization techniques tailored to these evolving paths. The proposed framework offers a fundamentally new approach to controlling quantum systems, promising advancements in quantum information processing and manipulation. This work provides a conceptual foundation for exploring complex quantum systems through a novel mapping strategy.

DOI: 10.5281/zenodo.22186186

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