  Exploring the quantum walk as a tool of generating various probability
distributions and quantum entanglements is a topic of current interest. In the
present work, we use extensive numerical simulations to investigate the
influence of generic quantum coins on the hybrid entanglement and spreading
behavior of different binary quantum walks with time and position dependent
coin operations based on the Fibonacci, Thue-Morse and Rudin-Shapiro sequences.
We find that each considered walk is differently but significantly influenced
by the choice of quantum coins. We demonstrate that the dynamic Fibonacci walk
exhibits localized behavior for certain coin parameters. This behavior brings
new information about the role played by dynamic coin disorder, considered
before as always a generator of non-localized behavior. We also reveal the
significant role played by a specific coin parameter which controls the nature
of superposition of spin up and spin down states during coin operation. We find
that the parameter can distinctly tune the spreading and entanglement behavior
of a binary quantum walk. We show that an increase in the value of the
parameter can enhance both the the standard deviation of the position
distribution of the walker and the hybrid entanglement from significantly low
to significantly high values depending on the coin and the nature of coin
operations. The present work may thus be considered as one step towards
understanding the role of coins in inhomogeneous quantum walks.
