Quantum Parrondo's game with random strategies

TitleQuantum Parrondo's game with random strategies
Publication TypeJournal Article
Year of Publication2007
AuthorsKosik J., Miszczak J, Buzek V.
JournalJournal of Modern Optics
Volume54
Pagination2275–228
Date Published9
AbstractWe 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.