Localization of discrete-time quantum walks on a half line via the CGMV method

Details Localization of discrete-time quantum walks on a half line via the CGMV method Localization of discrete-time quantum walks on a half line via the CGMV method

2010-08-30

arxiv.org/abs/1008.5109v2

Quantum Information and Computation 11 (2011) pp. 0485-0495

Physics

Quantum Physics

9 pages

Scientific paper

We study discrete-time quantum walks on a half line by means of spectral analysis. Cantero et al. [1] showed that the CMV matrix, which gives a recurrence relation for the orthogonal Laurent polynomials on the unit circle [2], expresses the dynamics of the quantum walk. Using the CGMV method introduced by them, the name is taken from their initials, we obtain the spectral measure for the quantum walk. As a corollary, we give another proof for localization of the quantum walk on homogeneous trees shown by Chisaki et al. [3].

Affiliated with

Also associated with

No associations

Rating

Localization of discrete-time quantum walks on a half line via the CGMV method 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 Localization of discrete-time quantum walks on a half line via the CGMV method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization of discrete-time quantum walks on a half line via the CGMV method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-401063