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Rules for quantizing the walker+coin parts of a classical random walk areprovided by treating them as interacting quantum systems. A quantum opticalrandom walk (QORW), is introduced by means of a new rule that treats quantum orclassical noise affecting the coin's state, as sources of quantization. Thelong term asymptotic statistics of QORW walker's position that shows enhanceddiffusion rates as compared to classical case, is exactly solved. A quantumoptical cavity implementation of the walk provides the framework for quantumsimulation of its asymptotic statistics. The simulation utilizes interactingtwo-level atoms and/or laser randomly pulsating fields with fluctuatingparameters.Comment: 18 pages, 3 figure

Quantum optical random walk: Quantization rules and quantum simulation of asymptotics