Topology-Aware Quantum Algorithm Design

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper investigates the integration of topology into quantum algorithm design, aiming to enhance the efficiency and robustness of quantum computations. The core claim is to develop a method for systematically mapping quantum states to topological structures, thereby facilitating the creation of quantum algorithms that optimally exploit these inherent properties. We propose a framework leveraging the interplay between quantum states and topological invariants to guide the design of novel quantum algorithms. The research emphasizes the crucial role of topology in shaping quantum system behavior and offers a potential pathway toward significant improvements in computational capabilities. Specifically, we demonstrate the practical implications of this approach through a theoretical analysis and preliminary implementation of a simplified quantum algorithm. This work contributes to the advancement of quantum information theory by addressing a fundamental challenge in algorithm design – the exploitation of topological structures within quantum systems.

DOI: 10.5281/zenodo.22253637

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