Study of Parrondo's paradox regions in one-dimensional quantum walks
Munsif Jan, Xiao-Ye Xu, Wang Qin Qin, Weiwei Pan, Yong‐Jian Han, Chuan‐Feng Li, Guang‐Can Guo · arXiv (Cornell University) · 2020
The well-known counterintuitive phenomenon, where the combination of unfavorable situations can establish favorable ones, is called Parrondo's paradox. Here, we study one-dimensional discrete-time quantum walks, manipulating two different coins (two-state) operators representing two losing games A and B, respectively, to create the Parrondo effect in the quantum domain. We exhibit that games A and B are losing games when played individually but could produce a winning expectation when played alternatively for a particular sequence of the different periods. Moreover, we also analyze the relationships between Parrondo's games and quantum entanglement in our scheme. Along with the applications of different kinds of quantum walks, our outcomes potentially encourage the development of new quantum algorithms.