Quantization of Soliton Cellular Automata
  A method of quantization of classical soliton cellular automata (QSCA) is put forward that provides a description of their time evolution operator by means of quantum circuits that involve quantum gates from which the associated Hamiltonian describing a quantum chain model is constructed.   The intrinsic parallelism of QSCA, a phenomenon first known from quantum computers, is also emphasized. 
Demosthenes Ellinas, Elena P. Papadopoulou and Yiannis G. Saridakis   (Department of Sciences, Section of Mathematics, Techn...