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Quantum Optical Random Walk: Quantization Rules and Quantum Simulation
of Asymptotics
Demosthenes Ellinas, Ioannis Smyrnakis
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0611265
- categories:
- quant-ph
- comments:
- 18 pages, 3 figures
- doi:
- 10.1103/PhysRevA.76.022333
- arxiv_id:
- quant-ph/0611265
- created:
- 2006-11-28
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