Generating highly entangled states via discrete-time quantum walks with Parrondo sequences

Abstract

Quantum entanglement has multiple applications in quantum information processing. 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, in general, much more entangled than states produced by sequences using only either 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 both small number of time steps as well as the asymptotic limit of a large number of time steps.