Title: Dynamic Topology Optimization via Quantum Topology

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology offers a novel approach to algorithm optimization, leveraging the unique properties of quantum geometry to dynamically adjust circuit topologies. This paper introduces a dynamic topology optimization algorithm based on quantum principles, aiming to enhance the performance of quantum algorithms. We present a framework that utilizes quantum circuits to evolve and refine their topology, resulting in optimized solutions. The core mechanism centers around the application of quantum-induced topology changes to guide the evolution of quantum states, ultimately improving the accuracy and efficiency of quantum computations. The algorithm's design focuses on maximizing the convergence speed and minimizing computational resources, addressing limitations of traditional optimization techniques. This research explores the potential of quantum topology to revolutionize the design and implementation of quantum algorithms.

DOI: 10.5281/zenodo.22195586

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