Efficiency of quantum and classical transport on graphs

Details Efficiency of quantum and classical transport on graphs Efficiency of quantum and classical transport on graphs

2006-02-15

arxiv.org/abs/quant-ph/0602120v2

Phys. Rev. E 73, 066117 (2006)

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevE.73.066117

We propose a measure to quantify the efficiency of classical and quantum mechanical transport processes on graphs. The measure only depends on the density of states (DOS), which contains all the necessary information about the graph. For some given (continuous) DOS, the measure shows a power law behavior, where the exponent for the quantum transport is twice the exponent of its classical counterpart. For small-world networks, however, the measure shows rather a stretched exponential law but still the quantum transport outperforms the classical one. Some finite tree-graphs have a few highly degenerate eigenvalues, such that, on the other hand, on them the classical transport may be more efficient than the quantum one.

Affiliated with

Also associated with

No associations

Rating

Efficiency of quantum and classical transport on graphs 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 Efficiency of quantum and classical transport on graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Efficiency of quantum and classical transport on graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-255429