Quantum State Non-Linear Mapping and Topology Transformations

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum states exhibit remarkable sensitivity to their environment, making them ideal candidates for exploring novel quantum device designs. This paper investigates the interplay between non-linear mapping and topology transformations, proposing a novel algorithm for dynamically optimizing quantum device design based on the observed effects of these transformations. We analyze how non-linear mapping alters the topology of quantum states, leading to quantifiable changes in device performance. The core mechanism focuses on a specific mapping function, which is then optimized through iterative transformations. This research explores the potential for leveraging these transformations to achieve unprecedented device design precision and efficiency. The resulting design suggests a pathway toward the creation of highly tailored quantum devices with enhanced capabilities.

DOI: 10.5281/zenodo.22268896

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