Parrondoʼs game using a discrete-time quantum walk

We present a new form of a Parrondo game using discrete-time quantum walk on a line. The two players A and B with different quantum coins operators, individually losing the game can develop a strategy to emerge as joint winners by using their coins alternatively, or in combination for each step of the quantum walk evolution. We also present a strategy for a player A (B) to have a winning probability more than player B (A). Significance of the game strategy in information theory and physical applications are also discussed.

► Novel form of Parrondoʼs game on a single particle discrete-time quantum walk.
► Strategies for players to emerge as individual winners or as joint winners.
► General framework for controlling and using quantum walk with multiple coins.
► Strategies can be used in algorithms and situations involving directed motion.