  Quantum entanglement has multiple applications in quantum information
processing. Developing methods to generate highly entangled states independent
of initial conditions is an essential task. Herein we aim to generate highly
entangled states via discrete-time quantum walks. We propose deterministic
Parrondo sequences that generate states that are generally much more entangled
than states produced by sequences using only one of the two coins. We show that
some Parrondo sequences generate highly entangled states, which are independent
of the phase of the initial state used and further lead to maximally entangled
states in some cases. We study Parrondo sequences for a small number of time
steps and the asymptotic limit of a large number of time steps.
