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Parrondo's paradox in space-inhomogeneous quantum walks
Zbigniew Walczak1, Jarosław H Bauer1
1University of Lodz, Department of Theoretical Physics, Faculty of Physics and Applied Informatics, Pomorska 149/153, 90-236 Lodz, Poland.
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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.
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