Title: Dynamic Topology for Quantum Computation Verification

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum computation offers the potential for unprecedented computational power, but its practical implementation faces significant challenges, particularly concerning algorithm verification. Traditional verification methods often rely on classical algorithms and exhaustive testing, which can be computationally expensive and time-consuming. This paper introduces a novel dynamic topology-based quantum computation verification method, leveraging the inherent properties of topological structures to provide a more precise and flexible validation strategy. This approach aims to overcome the limitations of classical verification by dynamically adjusting the topology of quantum systems during optimization. The core mechanism involves the application of an adaptive learning algorithm, guided by the system's topological characteristics, to ensure the integrity and stability of quantum algorithms. We demonstrate the effectiveness of this method through a series of simulations, showcasing its superior performance compared to traditional techniques in validating various quantum algorithms. This work represents a significant advancement in quantum algorithm verification, offering a new approach to ensuring the reliability of complex quantum computations.

DOI: 10.5281/zenodo.22184933

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