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

Mesoscale and Nanoscale Physics 2009-10-28 v2 Popular Physics Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/9610035,
  title  = {A Possible Nanometer-scale Computing Device Based on an Adding Cellular Automaton},
  author = {Simon C. Benjamin and Neil F. Johnson},
  journal= {arXiv preprint arXiv:cond-mat/9610035},
  year   = {2009}
}

Comments

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