  One-dimensional discrete-time quantum walk has played an important role in
development of quantum algorithms and protocols for different quantum
simulations. The speedup observed in quantum walk algorithms is attributed to
quantum interference and coherence of the wave packet in position space.
Similarly, localization in quantum walk due to disorder is also attributed to
quantum interference effect. Therefore, it is intriguing to have a closer look
and understand the way quantum interference manifests in different forms of
quantum walk dynamics. Quantum coherence in the system is responsible for
quantum interference in the system. Here we will use coherence measure to
quantify the interference in the discrete-time quantum walk. We show coherence
in the position and coin space, together and independently, and present the
contribution of coherence to the quantum interference in the system. This study
helps us to differentiate the localization seen in one dimensional
discrete-time quantum walks due to different forms of disorders and topological
effects.
