Quantum Topology and Algorithms: A New Paradigm for Computation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a relatively new field of physics, holds the potential to revolutionize computation by leveraging the unique properties of space-time geometry. This paper explores the application of quantum topology to algorithm design, specifically focusing on quantum machine learning and optimization. We introduce a novel algorithm framework based on quantum topological concepts, aiming to enhance computational efficiency and performance compared to traditional approaches. The core mechanism involves the manipulation of topological states to facilitate novel algorithmic pathways. This work provides a conceptual foundation and preliminary results demonstrating the potential of quantum topology to significantly advance computational capabilities.

DOI: 10.5281/zenodo.22200404

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