  Discrete-time quantum walks are considered a counterpart of random walks and
the study for them has been getting attention since around 2000. In this paper,
we focus on a quantum walk which generates a probability distribution splitting
to two parts. The quantum walker with two coin states spreads at points,
represented by integers, and we analyze the chance of finding the walker at
each position after it carries out a unitary evolution a lot of times. The
result is reported as a long-time limit distribution from which one can see an
approximation to the finding probability.
