Nonlinear Topological Geometry and the Connection to Quantum Computing

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the synergistic relationship between nonlinear topological geometry and quantum computing, proposing a novel quantum computing algorithm based on this field. We introduce a quantum computation process that leverages the inherent topological properties of qubits to optimize their coherence and enhance quantum entanglement. The core mechanism centers on defining qubit states as topological structures, employing self-similarity principles to mitigate noise and improve computational efficiency. This approach offers a paradigm shift in quantum computing, potentially unlocking significant advancements in both algorithm design and system stability. The paper details the algorithm's design, its theoretical underpinnings, and preliminary experimental validation demonstrating enhanced quantum entanglement and computational efficiency. The research aims to contribute to the development of robust and scalable quantum computing systems.

DOI: 10.5281/zenodo.22205473

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