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Quantum State Collapse as a Cellular Automaton Algorithm

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

Abstract

Quantum state collapse is a fundamental process in quantum mechanics, representing the irreversible loss of information upon measurement. This paper explores the potential of utilizing a cellular automata (CA) framework to model and simulate this collapse, offering a novel approach to understanding and potentially manipulating quantum evolution. We formalize collapse as a dynamic process governed by specific rules and feedback loops, enabling the simulation of complex quantum patterns. We propose a CA-based model that incorporates the probabilistic nature of quantum mechanics, allowing for a more intuitive and potentially controllable simulation of quantum phenomena. The core mechanism focuses on systematically evolving the system's state space, mirroring the collapse process and highlighting the interplay between initial conditions and emergent behavior. This work provides a foundational step in exploring the application of CA algorithms to complex quantum systems, opening avenues for future research in quantum simulation and understanding.

DOI
10.5281/zenodo.22512569

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This paper proposes a novel model utilizing Quantum Cellular Automata (QCA) to simulate complex system evolution. The core idea involves transforming classical Cellular Automata (CA) into QCA, incorporating quantum phenomena such as superposition and entanglement to model intricate dynamics. This approach offers a fresh perspective on complex system modeling by leveraging the principles of quantum mechanics. The model's design incorporates key QCA mechanisms, including the Bloch sphere representation of states and the application of unitary transformations to govern cell interactions. We present a foundational framework for QCA simulation and discuss potential applications in areas such as pattern formation, reaction-diffusion processes, and emergent behavior. The focus is on demonstrating the theoretical feasibility and outlining a methodology for future research, rather than presenting empirical experimental results. This work emphasizes the conceptual shift and potential computational advantages offered by QCA in understanding complex systems.
This paper explores the concept of quantum state collapse as a cellular automata algorithm, providing a novel framework for understanding and modeling this fundamental phenomenon. We propose a model where the evolution of a quantum state is governed by a set of differential equations, driven by a series of rules and feedback loops, mimicking the collapse of a quantum state. The core claim is that this approach offers a mathematically rigorous and potentially insightful way to simulate and analyze the collapse process, providing a bridge between quantum mechanics and cellular automata. The paper details the mathematical formulation, explores its implications for understanding quantum information processing, and discusses potential applications within the context of quantum simulation and early-stage quantum computing.
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