dorsal/arxiv
View SchemaQuantum Optical Random Walk: Quantization Rules and Quantum Simulation of Asymptotics
| Authors | Demosthenes Ellinas, Ioannis Smyrnakis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611265 |
| URL | https://arxiv.org/abs/quant-ph/0611265 |
| DOI | 10.1103/PhysRevA.76.022333 |
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.
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"abstract": "Rules for quantizing the walker+coin parts of a classical random walk are\nprovided by treating them as interacting quantum systems. A quantum optical\nrandom walk (QORW), is introduced by means of a new rule that treats quantum or\nclassical noise affecting the coin\u0027s state, as sources of quantization. The\nlong term asymptotic statistics of QORW walker\u0027s position that shows enhanced\ndiffusion rates as compared to classical case, is exactly solved. A quantum\noptical cavity implementation of the walk provides the framework for quantum\nsimulation of its asymptotic statistics. The simulation utilizes interacting\ntwo-level atoms and/or laser randomly pulsating fields with fluctuating\nparameters.",
"arxiv_id": "quant-ph/0611265",
"authors": [
"Demosthenes Ellinas",
"Ioannis Smyrnakis"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.76.022333",
"title": "Quantum Optical Random Walk: Quantization Rules and Quantum Simulation of Asymptotics",
"url": "https://arxiv.org/abs/quant-ph/0611265"
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