Quantum Parrondo's game with random strategies¶

J. Košík, J. A. Miszczak∥, V. Bužek∥
2007 Journal of Modern Optics  
We present a quantum implementation of Parrondo's game with randomly switched strategies using 1) a quantum walk as a source of "randomness" and 2) a completely positive (CP) map as a randomized evolution. The game exhibits the same paradox as in the classical setting where a combination of two losing strategies might result in a winning strategy. We show that the CP-map scheme leads to significantly lower net gain than the quantum walk scheme.
doi:10.1080/09500340701408722 fatcat:ndzbn4dgofhldfkrp4mgyimuqu