Continuous-time quantum walks on ultrametric spaces

Details Continuous-time quantum walks on ultrametric spaces Continuous-time quantum walks on ultrametric spaces

2006-02-07

arxiv.org/abs/quant-ph/0602070v3

International Journal of Quantum Information, Vol.4, No.6, pp.1023-1035 (2006)

Physics

Quantum Physics

13 pages, small corrections, Journal-ref added

Scientific paper

We introduce a continuous-time quantum walk on an ultrametric space corresponding to the set of p-adic integers and compute its time-averaged probability distribution. It is shown that localization occurs for any location of the ultrametric space for the walk. This result presents a striking contrast to the classical random walk case. Moreover we clarify a difference between the ultrametric space and other graphs, such as cycle graph, line, hypercube and complete graph, for the localization of the quantum case. Our quantum walk may be useful for a quantum search algorithm on a tree-like hierarchical structure.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-63586