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Showing 2012 · math-phShow all
3 papers · 2 filters
math-ph2012★ 22 cited
Quantum graph walks I: mapping to quantum walks
Yusuke Higuchi, Norio Konno, Iwao Sato +1
We clarify that coined quantum walk is determined by only the choice of local quantum coins. To do so, we characterize coined quantum walks on graph by disjoint Euler circles with…
math-ph2012★ 43 cited
Limit theorems for open quantum random walks
Norio Konno, Hyun Jae Yoo
We consider the limit distributions of open quantum random walks on one-dimensional lattice space. We introduce a dual process to the original quantum walk process, which is quite…
math-ph2012★ 9 cited
Symmetry and localization of quantum walk induced by extra link in cycles
Xin-Ping Xu, Yusuke Ide, Norio Konno
In this paper, we study the impact of single extra link on the coherent dynamics modeled by continuous-time quantum walks. For this purpose, we consider the continuous-time quantum…