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Springer eBooks

A Possible Explanation of Quantum Mechanics Behavior by a Classical Cellular Automaton Construction

Simon Berkovich

Published Jan 1, 1989• 1 citation
Publisher
DOI
10.1007/978-94-017-0849-4_25

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We discuss the role of classical control in the context of reversible quantum cellular automata. Employing the structure theorem for quantum cellular automata, we give a general construction scheme to turn an arbitrary cellular automaton with external classical control into an autonomous one, thereby proving the computational equivalence of these two models. We use this technique to construct a universally programmable cellular automaton on a one-dimensional lattice with single cell dimension 12.