Walczak Zbigniew, Bauer Jarosław H
Department of Theoretical Physics, Faculty of Physics and Applied Informatics, University of Lodz, Pomorska 149/153, 90-236 Lodz, Poland.
Phys Rev E. 2022 Jun;105(6-1):064211. doi: 10.1103/PhysRevE.105.064211.
Parrondo's paradox refers to the apparently paradoxical effect whereby a certain combination of biased random walks displays a counterintuitive reversal of the bias direction. We show that Parrondo's paradox can occur not only in the case of one-dimensional discrete-time quantum walks with a deterministic sequence of two quantum coins but also in the case of one-dimensional discrete-time quantum walks with a deterministic sequence of three quantum coins. Moreover, we show how Parrondo's paradox affects the time evolution of quantum entanglement for such quantum walks.
帕隆多悖论指的是一种明显自相矛盾的效应，即有偏随机游走的特定组合会呈现出与直觉相悖的偏差方向反转。我们证明，帕隆多悖论不仅会出现在具有两个量子硬币的确定性序列的一维离散时间量子游走情形中，也会出现在具有三个量子硬币的确定性序列的一维离散时间量子游走情形中。此外，我们还展示了帕隆多悖论如何影响此类量子游走的量子纠缠的时间演化。
