Sc. Benjamin et Nf. Johnson, A POSSIBLE NANOMETER-SCALE COMPUTING DEVICE BASED ON AN ADDING CELLULAR-AUTOMATON, Applied physics letters, 70(17), 1997, pp. 2321-2323
We present a simple one-dimensional cellular automaton (CA) which has
the property that an initial state composed of two binary numbers evol
ves 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 c
ells 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 po
ssible implementation using coupled quantum dots is outlined. (C) 1997
American Institute of Physics.