Dynamics of continuous-time quantum walks in restricted geometries
| Autor: | Elena Agliari, Oliver Muelken, Alexander Blumen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: |
Statistics and Probability
Physics Quantum Physics FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Function (mathematics) Upper and lower bounds Displacement (vector) Distribution (mathematics) Search algorithm Modeling and Simulation Quantum walk Statistical physics Quantum Physics (quant-ph) Quantum Mathematical Physics Topology (chemistry) |
| Popis: | We study quantum transport on finite discrete structures and we model the process by means of continuous-time quantum walks. A direct and effective comparison between quantum and classical walks can be attained based on the average displacement of the walker as a function of time. Indeed, a fast growth of the average displacement can be advantageously exploited to build up efficient search algorithms. By means of analytical and numerical investigations, we show that the finiteness and the inhomogeneity of the substrate jointly weaken the quantum walk performance. We further highlight the interplay between the quantum-walk dynamics and the underlying topology by studying the temporal evolution of the transfer probability distribution and the lower bound of long time averages. 25 pages, 13 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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