Non-Linear Topological Geometry: Algorithm Design for Quantum Computation

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper investigates the application of non-linear topological geometry to algorithm design for quantum computation, specifically focusing on the optimization of quantum circuits and the design of novel quantum algorithms. We introduce a novel algorithm that leverages quantum entanglement to dynamically adjust the topology of geometric data structures, enabling efficient parameter optimization and quantum algorithm development. The core mechanism centers around the exploration of quantum entanglement as a means of manipulating and optimizing the geometric structure of the data, ultimately leading to improved performance in quantum computation. The algorithm's design addresses limitations of traditional quantum computing approaches by providing a mechanism for direct data manipulation and optimization, offering a potentially transformative impact on the field.

DOI: 10.5281/zenodo.22525057

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