Name
Abstract | ||
|---|---|---|
For a graph with at most one loop at each vertex, we define a discrete-time quaternionic quantum walk on the graph, which can be viewed as a quaternionic extension of the Grover walk on the graph. We derive the unitary condition for the transition matrix of the quaternionic Grover walk, and discuss the relationship between the right spectra of the transition matrices and zeta functions of graphs. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s00373-017-1785-4 | Graphs and Combinatorics |
Keywords | Field | DocType |
Quantum walk, Ihara zeta function, Quaternion | Topology,Combinatorics,Vertex (geometry),Stochastic matrix,Quaternionic representation,Matrix (mathematics),Quaternion,Ihara zeta function,Quantum walk,Unitary state,Mathematics | Journal |
Volume | Issue | ISSN |
33 | 6 | 0911-0119 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Norio Konno | 1 | 125 | 29.90 |
| Hideo Mitsuhashi | 2 | 0 | 0.34 |
| Iwao Sato | 3 | 75 | 22.91 |