A Possible Nanometer-scale Computing Device Based on an Adding Cellular Automaton

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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8 pages, RevTex, 3 Postscript figures. This version to appear in App. Phys. Lett

Scientific paper

10.1063/1.118851

We present a simple one-dimensional Cellular Automaton (CA) which has the property that an initial state composed of two binary numbers evolves quickly into a final state which is their sum. We call this CA the Adding Cellular Automaton (ACA). The ACA requires only 2N two-state cells in order to add any two N-1 bit binary numbers. The ACA could be directly realized as a wireless nanometer-scale computing device - a possible implementation using coupled quantum dots is outlined.

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