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Cellular Automata for Quantum Algorithm Design

Jincheng Zhang

Published Sep 5, 2026• 0 citations
Publisher

Abstract

This paper explores the potential of cellular automata (CA) as a novel framework for designing and optimizing quantum algorithms. The core idea is to map quantum gates and circuits onto the rules of a CA, enabling efficient simulation and optimization through parallel exploration of the CA's state space. This approach offers a fundamentally different abstraction, potentially simplifying the mapping process from abstract quantum algorithms to physical hardware constraints. We investigate the mechanics of this mapping, focusing on how the iterative nature of CA rules can mirror the sequential execution of quantum operations. The paper presents a theoretical foundation for this concept, outlining key considerations for rule design and state space traversal, and suggests directions for future research. The primary contribution lies in demonstrating a viable pathway to reduce the complexity associated with quantum circuit design and hardware mapping.

DOI
10.5281/zenodo.22319222

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