  We report on the possibility of controlling quantum random walks with a
step-dependent coin. The coin is characterized by a (single) rotation angle.
Considering different rotation angles, one can find diverse probability
distributions for this walk including: complete localization, Gaussian and
asymmetric likes. In addition, we explore the entropy of walk in two contexts;
for probability density distributions over position space and walker's internal
degrees of freedom space (coin space). We show that entropy of position space
can decrease for a step-dependent coin with the step-number, quite in contrast
to a walk with step-independent coin. For entropy of coin space, a damped
oscillation is found for walk with step-independent coin while for a
step-dependent coin case, the behavior of entropy depends on rotation angle. In
general, we demonstrate that quantum walks with simple initiatives may exhibit
a quite complex and varying behavior if step-dependent coins are applied. This
provides the possibility of controlling quantum random walk with a
step-dependent coin.
