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Conservative Computing in a One-dimensional Cellular Automaton with Memory
Genaro J. Martínez and Kenichi Morita

We propose a scheme to simulate Fredkin gates in a one-dimensional cellular automaton with memory by collision of particles, which is a moving pattern in this cellular space. Operations by collisions are confined in a black box with ballistic interaction, solitons and other collisions. We made a systematic analysis of binary collisions, i.e., collisions of two particles with different phases. They are used for handling these particles and obtaining the final outputs.

Keywords: Fredkin gates, elementary cellular automata, memory, particles, collisions, unconventional computing.

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