Distributions of continuous-time quantum walks

Details Distributions of continuous-time quantum walks Distributions of continuous-time quantum walks

2006-09-18

arxiv.org/abs/quant-ph/0609128v2

Physics

Quantum Physics

6 pages, 4 figures; added references

Scientific paper

We study the distributions of the continuous-time quantum walk on a one-dimensional lattice. In particular we will consider walks on unbounded lattices, walks with one and two boundaries and Dirichlet boundary conditions, and walks with periodic boundary conditions. We will prove that all continuous-time quantum walks can be written as a series of Bessel functions of the first kind and show how to approximate these series.

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