Attractors and asymptotic dynamics of open discrete-time quantum walks on cycles
Attractors and asymptotic dynamics of open discrete-time quantum walks on cycles
Open quantum walks often lead to a classical asymptotic behavior. Here we look for a simple open quantum walk whose asymptotic behavior can be nonclassical. We consider a discrete-time quantum walk on an $n$-cycle subject to a random coin-dependent phase shift at a single position. This finite system, whose evolution …