Quantum Topology Verification of Adaptive Quantum Algorithms

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum topology, a novel field of physics, offers a promising platform for developing quantum algorithms with enhanced robustness and security. This paper explores the potential of utilizing quantum topology to validate quantum algorithms, specifically through the simulation of their execution and detection of errors and vulnerabilities. We propose a framework that leverages quantum entanglement and topological transformations to emulate quantum algorithms, enabling dynamic error detection and vulnerability assessment. The core claim centers on the construction of a self-adaptive quantum algorithm validation framework, utilizing quantum entanglement and topological transformations to simulate the process and identify flaws. This approach contrasts with traditional algorithm verification methods, offering increased efficiency and accuracy. The paper details the proposed mechanism, explores its potential applications, and concludes with a discussion of future research directions.

DOI: 10.5281/zenodo.22276654

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