Symmetry-noise interplay in quantum walk on an n-cycle

Details Symmetry-noise interplay in quantum walk on an n-cycle Symmetry-noise interplay in quantum walk on an n-cycle

2008-03-31

arxiv.org/abs/0803.4453v2

Phys. Rev. A, 78, 052316 (2008)

Physics

Quantum Physics

4 pages and 4 figures

Scientific paper

10.1103/PhysRevA.78.052316

Augmenting the unitary transformation which generates a quantum walk by a generalized phase gate G is a symmetry for both noisy and noiseless quantum walk on a line, in the sense that it leaves the position probability distribution invariant. However, this symmetry breaks down in the case of a quantum walk on an n-cycle, and hence can be regarded as a probe of the walk topology. Noise, modelled here as phase flip and generalized amplitude damping channels, tends to restore the symmetry because it classicalizes the walk. However, symmetry restoration happens even in the regime where the walker is not entirely classical, because noise also has the effect of desensitizing the operation G to the walk topology. We discuss methods for physical implementation, and talk about the wider implications to condensed matter systems.

Affiliated with

Also associated with

No associations

Rating

Symmetry-noise interplay in quantum walk on an n-cycle 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 Symmetry-noise interplay in quantum walk on an n-cycle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry-noise interplay in quantum walk on an n-cycle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-197560