Scattering theory and discrete-time quantum walks

Details Scattering theory and discrete-time quantum walks Scattering theory and discrete-time quantum walks

2003-12-08

arxiv.org/abs/quant-ph/0312062v2

Physics Letters A 324, 277 (2004)

Physics

Quantum Physics

7 pages, Latex, replaced with published version

Scientific paper

10.1016/j.physleta.2004.03.005

We study quantum walks on general graphs from the point of view of scattering theory. For a general finite graph we choose two vertices and attach one half line to each. We are interested in walks that proceed from one half line, through the graph, to the other. The particle propagates freely on the half lines but is scattered at each vertex in the original graph. The probability of starting on one line and reaching the other after n steps can be expressed in terms of the transmission amplitude for the graph. An example is presented.

Affiliated with

Also associated with

No associations

Rating

Scattering theory and discrete-time quantum walks 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 Scattering theory and discrete-time quantum walks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scattering theory and discrete-time quantum walks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-252883