Quantum walks: Decoherence and coin-flipping games

摘要: Abstract We investigate the global chirality distribution of quantum walk on line when decoherence is introduced either through simultaneous measurements and particle position, or as a result broken links. The first mechanism drives system towards classical diffusive behavior. This used to build new games, similar spin-flip game. second involves two different possibilities: (a) All links have same probability being broken. (b) Only half-line are affected by random breakage. In case Markov process, whose master equation equivalent dynamical density matrix. not in where asymptotic unexpectedly maintains some dependence with initial condition. Explicit analytical equations obtained for all cases.