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Topological Optimization of Quantum Algorithm Compilation

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

This paper presents a novel approach to quantum algorithm compilation focused on topological optimization. Traditional quantum algorithm compilation methods primarily operate at the circuit level, neglecting the underlying topological constraints of quantum hardware. This limitation often leads to suboptimal circuit layouts and reduced execution efficiency. Our proposed methodology addresses this issue by translating quantum algorithms into topological graphs and subsequently utilizing topological optimization algorithms – such as shortest path algorithms and minimum cut algorithms – to intelligently refine the circuit layout. The core claim is to design an algorithm that automatically adapts to the specific topology of the quantum hardware, thereby maximizing the performance of the quantum algorithm. We explore the theoretical foundations and present a framework for this process, emphasizing the potential to significantly improve quantum algorithm execution speed and fidelity. The work represents a fundamental shift in quantum compilation, moving beyond circuit-centric approaches to a topology-aware paradigm.

DOI
10.5281/zenodo.22595686

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