Quantum Walks and Reversible Cellular Automata
  We investigate a connection between a property of the distribution and a conserved quantity for the reversible cellular automaton derived from a discrete-time quantum walk in one dimension. As a corollary, we give a detailed information of the quantum walk. 
Norio Konno, Kenichi Mitsuda, Takahiro Soshi and Hyun Jae Yoo