Quantum States and Non-Linear Mapping: A New Approach to High-Dimensional Geometry

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum states, characterized by superposition and entanglement, represent a fundamental aspect of quantum mechanics. This research explores the application of non-linear mapping techniques to quantum states, aiming to leverage these properties for the construction of advanced geometric models and optimization algorithms. The core claim is that the ability to map quantum states to high-dimensional geometric spaces can significantly simplify geometric modeling, improve computational efficiency, and unlock new possibilities in geometric analysis. This work focuses on demonstrating the potential of this approach through a rigorous theoretical investigation and preliminary experimental exploration using simplified geometric constructs.

DOI: 10.5281/zenodo.22296621

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