Geometric Topology and Quantum Computing: A Synergistic Approach

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

The convergence of geometric topology and quantum computing presents a compelling avenue for advancing computational power and unlocking novel algorithmic possibilities. This paper explores the synergistic potential of this intersection, investigating how quantum computation can accelerate geometric topology calculations and conversely, how geometric topology principles can be leveraged to design quantum algorithms. We detail a novel framework that integrates these two disciplines, demonstrating the significant benefits of leveraging quantum mechanics to enhance geometric analysis. The core claim posits that this integration will yield substantial improvements in computational efficiency and accuracy, enabling the exploration of complex simulations and the development of more robust quantum algorithms. This work serves as a foundation for future research and development in both fields.

DOI: 10.5281/zenodo.22183158

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