Non-stationary quantum walks on the cycle
Domenico D’Alessandro, Gianfranco Parlangeli, Francesca Albertini · Journal of Physics A Mathematical and Theoretical · 2007
We consider quantum walks on the cycle in the non-stationary case where the 'coin' operation is allowed to change at each time step. We characterize, in algebraic terms, the set of possible state transfers and prove that, as opposed to the stationary case, the associate probability distribution may converge to a uniform distribution among the nodes of the associated graph.