Journal of Applied Probability · 1988 · 41 citations · 8 references
Quantum DynamicQuantum Random WalkEngineeringStochastic PhenomenonDiscrete TimeStochastic Differential EquationsQuantum ComputingQuantum ProbabilityQuantum Mechanical PropertyAnomalous DiffusionStochastic GeometryQuantum SciencePhysicsStochastic Dynamical SystemLimiting DiffusionProbability TheoryBrownian MotionRandom WalksEntropyDiffusion Process
The notion of a quantum random walk in discrete time is formulated and the passage to a continuous time diffusion limit is established. The limiting diffusion is described in terms of solutions of certain quantum stochastic differential equations.
8
Quantum mechanical Wiener processes
A.M. Cockroft, R. L. Hudson · Journal of Multivariate Analysis · 1977 · 72 citations