  The Parrondo game, devised by Parrondo, means that winning strategy is
constructed a combination of losing strategy. This situation is called the
Parrondo paradox. The Parrondo game based on quantum walk and the search
algorithm via quantum walk have been widely studied, respectively. This paper
newly presents a Parrondo game of quantum search based on quantum walk by
combining both models. Moreover we confirm that Parrondo's paradox exists for
our model on the one- and two-dimensional torus by numerical simulations.
Afterwards we show the range in which the paradox occurs is symmetric about the
origin on the $d$-dimensional torus $(d \geq 1)$ with even vertices and one
marked vertex.
