Non-Linear Geometric Transformations: A Quantum Algorithm Implementation

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper explores the design and implementation of a novel quantum algorithm leveraging non-linear geometric transformations. The core mechanism centers around utilizing quantum entanglement and geometric reshaping to achieve enhanced computational efficiency compared to traditional approaches. The algorithm's key innovation lies in its ability to dynamically adapt to complex input geometries, offering a potential paradigm shift in numerical computations. This work details the algorithmic framework, explores the theoretical implications of entanglement-based transformation, and presents preliminary experimental results demonstrating the algorithm's capabilities. The paper concludes with a discussion of future research directions and the potential impact of this approach on various fields.

DOI: 10.5281/zenodo.22221894

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