1 citations · 1 across the 5 of their papers we have counts for
6 papers
A family of quantum walks on a finite graph corresponding to the generalized weighted zeta function
Ayaka Ishikawa
This paper gives the quantum walks determined by graph zeta functions. The result enables us to obtain the characteristic polynomial of the transition matrix of the quantum walk, a…
A convergence time of Grover walk on regular graph to stationary state
Ayaka Ishikawa, Sho Kubota, Etsuo Segawa
We consider a quantum walk model on a finite graph which has an interaction with the outside. Here a quantum walker from the outside penetrates the graph and also a quantum walker…
On the Ihara expression for the generalized weighted zeta function
Ayaka Ishikawa, Hideaki Morita
We consider the generalized weighted zeta function for a finite digraph, and show that it has the Ihara expression, a determinant expression of graph zeta functions, with a certain…
The Ihara expression of a generalization of the weighted zeta function on a finite digraph
Ayaka Ishikawa
We define a new weighted zeta function for a finite digraph and obtain its determinant expression called the Ihara expression. The graph zeta function is a generalization of the we…
The Ihara expression for generalized weighted zeta functions of Bartholdi type on finite digraphs
Ayaka Ishikawa, Hideaki Morita, Iwao Sato
The Ihara expression of a weighted zeta function for a general finite digraph is given. It unifies all the Ihara expressions obtained for known zeta functions for finite digraphs.…
A weighted graph zeta function involved in the Szegedy walk
Ayaka Ishikawa, Norio Konno
We define a new weighted zeta function for a finite graph and obtain its determinant expression. This result gives the characteristic polynomial of the transition matrix of the Sze…