Equivalence between discrete quantum walk models in arbitrary topologies

Details Equivalence between discrete quantum walk models in arbitrary topologies Equivalence between discrete quantum walk models in arbitrary topologies

2009-10-30

arxiv.org/abs/0911.0042v2

Phys. Rev. A 80, 052301 (2009)

Physics

Quantum Physics

Revtex, 5 pages, 2 figures, published version

Scientific paper

10.1103/PhysRevA.80.052301

Coin and scattering are the two major formulations for discrete quantum walks models, each believed to have its own advantages in different applications. Although they are related in some cases, it was an open question their equivalence in arbitrary topologies. Here we present a general construction for the two models for any graph and also for position dependent transition amplitudes. We then prove constructively their unitary equivalence. Defining appropriate projector operators, we moreover show how to obtain the probabilities for one model from the evolution of the other.

Affiliated with

Also associated with

No associations

Rating

Equivalence between discrete quantum walk models in arbitrary topologies 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 Equivalence between discrete quantum walk models in arbitrary topologies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalence between discrete quantum walk models in arbitrary topologies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-149945