189 citations · 1.9k across the 148 of their papers we have counts for
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Quantum graph walks II: Quantum walks on graph coverings
Yusuke Higuchi, Norio Konno, Iwao Sato +1
We give a new determinant expression for the characteristic polynomial of the bond scattering matrix of a quantum graph G. Also, we give a decomposition formula for the characteris…
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…
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…
Weak convergence of complex-valued measure for bi-product path space induced by quantum walk
Norio Konno, Etsuo Segawa
In this paper, a complex-valued measure of bi-product path space induced by quantum walk is presented. In particular, we consider three types of conditional return paths in a power…
A note on the discrete-time evolutions of quantum walk on a graph
Yusuke Higuchi, Norio Konno, Iwao Sato +1
For a quantum walk on a graph, there exist many kinds of operators for the discrete-time evolution. We give a general relation between the characteristic polynomial of the evolutio…
Localization of the Grover walks on spidernets and free Meixner laws
Norio Konno, Nobuaki Obata, Etsuo Segawa
A spidernet is a graph obtained by adding large cycles to an almost regular tree and considered as an example having intermediate properties of lattices and trees in the study of d…
On the entropy of decoherence matrix for quantum walks
Norio Konno, Etsuo Segawa
The decoherence matrix studied by Gudder and Sorkin (2011) can be considered as a map from the set of all the pairs of -length paths to complex numbers, which is induced by the…
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…