Quantum Optical Random Walk: Quantization Rules and Quantum Simulation of Asymptotics

Details Quantum Optical Random Walk: Quantization Rules and Quantum Simulation of Asymptotics Quantum Optical Random Walk: Quantization Rules and Quantum Simulation of Asymptotics

2006-11-28

arxiv.org/abs/quant-ph/0611265v1

Physics

Quantum Physics

18 pages, 3 figures

Scientific paper

10.1103/PhysRevA.76.022333

Rules for quantizing the walker+coin parts of a classical random walk are provided by treating them as interacting quantum systems. A quantum optical random walk (QORW), is introduced by means of a new rule that treats quantum or classical noise affecting the coin's state, as sources of quantization. The long term asymptotic statistics of QORW walker's position that shows enhanced diffusion rates as compared to classical case, is exactly solved. A quantum optical cavity implementation of the walk provides the framework for quantum simulation of its asymptotic statistics. The simulation utilizes interacting two-level atoms and/or laser randomly pulsating fields with fluctuating parameters.

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