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Emergent Computation in Cellular Automata with Quantum Interactions

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

This paper investigates the potential for emergent computation within cellular automata (CA) systems incorporating quantum mechanical principles. Traditional CAs, while capable of simulating complex patterns, are fundamentally deterministic. We propose an extension of the CA framework where individual cells possess quantum properties, specifically superposition and entanglement, influencing their interactions. This introduces a layer of probabilistic behavior and non-classical correlations, fundamentally altering the system's dynamics. The core claim is that these quantum interactions can lead to the emergence of computational processes previously unattainable within purely classical CAs. We detail a model where cells exist in a superposition of states, and interactions are mediated through entangled states, allowing for correlations that defy classical explanation. We explore the theoretical implications of such a system, outlining potential computational capabilities and challenges associated with simulating quantum effects within the discrete framework of a CA. The work highlights a novel approach to computation, suggesting a pathway toward harnessing quantum phenomena for emergent complex behavior in simulated systems.

DOI
10.5281/zenodo.22270273

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