Adaptive Geometry Topology for Quantum Computation Verification

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper presents a novel method for quantum computation verification leveraging adaptive geometry topology. The core principle is to treat quantum algorithms as dynamic geometries, allowing for continuous validation via self-adaptation. We explore the potential for this approach to uncover subtle errors and optimize quantum circuit performance through a fundamentally new verification paradigm. The paper details the concept of "Adaptive Geometry Topology," introduces a mechanism for applying this topology to quantum algorithms, and discusses the implications for quantum algorithm design and verification. The research focuses on demonstrating the efficacy of this method in identifying potential vulnerabilities and improving the robustness of quantum computations.

DOI: 10.5281/zenodo.22295747

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