  Quantum walk (QW) is the quantum analog of the random walk. QW is an integral
part of the development of numerous quantum algorithms. Hence, an in-depth
understanding of QW helps us to grasp the quantum algorithms. We revisit the
one-dimensional discrete-time QW and discuss basic steps in detail by
incorporating the most general coin operator. We investigate the impact of each
parameter of the general coin operator on the probability distribution of the
quantum walker. We show that by tuning the parameters of the general coin, one
can regulate the probability distribution of the walker. We provide an
algorithm for the one-dimensional quantum walk driven by the general coin
operator. The study conducted on general coin operator also includes the
popular coins -- Hadamard, Grover, and Fourier coins.

Quantum Physics;Adaptation and Self-Organizing Systems