Quantum Parrondo's game with random strategies

Author Kosik J.; Miszczak J.; Buzek V.
Title Quantum Parrondo's game with random strategies
Journal Journal of Modern Optics
Year 2007
Status Published
Volume 54
Pages 2275–228
Abstract 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.