Quantum Parrondo's game with random strategies
arXiv:0704.2937 · doi:10.1080/09500340701408722
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.
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- Parrondo's effect in continuous-time quantum walks
- Parrondo's paradox in quantum walks with inhomogeneous coins
- Constructing games on networks for controlling the inequalities in the capital distribution
- Enhanced spreading in continuous-time quantum walks using aperiodic temporal modulation of defects