Nonlinear Geometry and Quantum Computing: A Connection

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper explores the synergistic relationship between nonlinear geometry and quantum computing, focusing on the potential of utilizing topological structures to enhance quantum computation's capabilities and efficiency. We introduce a novel approach centered around the application of topological optimization algorithms to manipulate qubit arrangements, aiming to improve both precision and operational efficiency. The core mechanism involves the strategic implementation of topological constraints within the qubit configuration, leveraging the inherent robustness of these structures to mitigate errors and improve overall computation performance. The research addresses the limitations of current quantum algorithms by proposing a fundamentally different approach, promising significant advancements in the scalability and effectiveness of quantum information processing. This work details the design of a quantum algorithm based on self-spinning quantum states, demonstrating a viable pathway toward extended quantum computation through the integration of topological principles.

DOI: 10.5281/zenodo.22442075

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