Duality between a deterministic cellular automaton and a bosonic quantum   field theory in 1+1 dimensions
  Methods developed in a previous paper are employed to define an exact correspondence between the states of a deterministic cellular automaton in 1+1 dimensions and those of a bosonic quantum field theory. The result may be used to argue that quantum field theories may be much closer related to deterministic automata than what is usually thought possible. Version 2 had a minor typo corrected and notation was made more consistent. 
Gerard 't Hooft
quant-ph hep-th