On Reversible Cellular Automata with Triplet Local Rules
  Bijections between sets may be seen as discrete (or crisp) unitary transformations used in quantum computations. So discrete quantum cellular automata are cellular automata with reversible transition functions. This note studies on 1d reversible cellular automata with triplet local rules. 
Shuichi Inokuchi, Kazumasa Honda, Hyen Yeal Lee, Tatsuro Sato,   Yoshihiro Mizoguchi and Yasuo Kawahara