Parrondo's paradox in space-inhomogeneous quantum walks
Phys. Rev. E 111, 064218 – Published 25 June, 2025
DOI: https://doi.org/10.1103/k6nn-n6c4
Abstract
The term Parrondo's paradox refers to the apparently paradoxical effect whereby two or more dynamics in which a given quantity decreases are combined in such a way that the same quantity increases in the resulting dynamics. We show that Parrondo's paradox can occur not only in the case of homogeneous but also in space-inhomogeneous one-dimensional discrete-time quantum walks. Moreover, we demonstrate that for such quantum walks Parrondo's paradox can affect the time evolution of quantum entanglement differently than it does in the case of homogeneous ones.
