Physics – Quantum Physics
Scientific paper
2008-10-07
J. Phys. A 41, 445301 (2008)
Physics
Quantum Physics
25 pages, 13 figures
Scientific paper
10.1088/1751-8113/41/44/445301
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.
Agliari Elena
Blumen Alexander
Muelken Oliver
No associations
LandOfFree
Dynamics of continuous-time quantum walks in restricted geometries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamics of continuous-time quantum walks in restricted geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of continuous-time quantum walks in restricted geometries will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-557170