Quantum Topology: Geometric Validation and Optimization for Quantum Computing

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a rapidly developing field, offers a novel approach to validating quantum computing models and optimizing their performance. This paper explores the application of quantum topology to enhance the reliability of quantum computations through geometric verification and optimization. We introduce a method predicated on the inherent geometric properties of quantum systems, leveraging quantum entanglement and self-similarity to identify critical vulnerabilities and improve the robustness of quantum algorithms. The core mechanism focuses on utilizing topological invariants to guide the optimization process, leading to enhanced quantum computation fidelity. We present a preliminary framework demonstrating the efficacy of this approach in validating quantum circuits and optimizing parameters, paving the way for more reliable and efficient quantum computing.

DOI: 10.5281/zenodo.22197885

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