The Topological Adaptive Quantum Algorithm

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

The development of efficient quantum algorithms is a significant challenge in the field of quantum computing. This paper introduces a novel approach to quantum algorithm design, employing a topological adaptive framework. We propose a method that leverages the inherent topological properties of quantum systems to optimize the performance of existing quantum algorithms. This framework aims to enhance the efficiency of quantum computation by systematically manipulating the quantum state to achieve optimal results. The core mechanism involves utilizing topological transformations to guide the evolution of the quantum state, thereby improving the algorithm's convergence and fidelity. This research explores the potential of topological optimization to significantly advance the capabilities of quantum algorithms. This work presents a framework with a strong theoretical foundation and initial experimental validation demonstrating its effectiveness. The ultimate goal is to contribute to the creation of robust and versatile quantum algorithms capable of solving complex problems.

DOI: 10.5281/zenodo.22461029

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