Quantum walks on two kinds of two-dimensional models
arXiv:1501.01816 · doi:10.1007/s10773-015-2514-5
Abstract
In this paper, we numerically study quantum walks on two kinds of two-dimensional graphs: cylindrical strip and Mobius strip. The two kinds of graphs are typical two-dimensional topological graph. We study the crossing property of quantum walks on these two models. Also, we study its dependence on the initial state, size of the model. At the same time, we compare the quantum walk and classical walk on these two models to discuss the difference of quantum walk and classical walk.
References in corpus (7)
- Classical approach to the graph isomorphism problem using quantum walks
- Coined quantum walks on percolation graphs
- Weak Limit of the 3-State Quantum Walk on the Line
- Limit distributions of three-state quantum walks: the role of coin eigenstates
- Continuous deformations of the Grover walk preserving localization
- Quantum Walk with a four-dimensional coin
- Non-stationary quantum walks on the cycle