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Exploring the quantum walk as a tool of generating various probabilitydistributions and quantum entanglements is a topic of current interest. In thepresent work, we use extensive numerical simulations to investigate theinfluence of generic quantum coins on the hybrid entanglement and spreadingbehavior of different binary quantum walks with time and position dependentcoin operations based on the Fibonacci, Thue-Morse and Rudin-Shapiro sequences.We find that each considered walk is differently but significantly influencedby the choice of quantum coins. We demonstrate that the dynamic Fibonacci walkexhibits localized behavior for certain coin parameters. This behavior bringsnew information about the role played by dynamic coin disorder, consideredbefore as always a generator of non-localized behavior. We also reveal thesignificant role played by a specific coin parameter which controls the natureof superposition of spin up and spin down states during coin operation. We findthat the parameter can distinctly tune the spreading and entanglement behaviorof a binary quantum walk. We show that an increase in the value of theparameter can enhance both the the standard deviation of the positiondistribution of the walker and the hybrid entanglement from significantly lowto significantly high values depending on the coin and the nature of coinoperations. The present work may thus be considered as one step towardsunderstanding the role of coins in inhomogeneous quantum walks.

Influence of generic quantum coins on the spreading and entanglement in binary aperiodic quantum walks