Name
Abstract | ||
|---|---|---|
We focus on the three-state quantum walk(QW) in one dimension. In this paper, we give the stationary measure in general condition, originated from the eigenvalue problem. Firstly, we get the transfer matrices by our new recipe, and solve the eigenvalue problem. Then we obtain the general form of the stationary measure for concrete initial state and eigenvalue. We also show some specific examples of the stationary measure for the three-state QW. One of the interesting and crucial future problems is to make clear the whole picture of the set of stationary measures. |
Year | Venue | Keywords |
|---|---|---|
2019 | QUANTUM INFORMATION & COMPUTATION | quantum walk,stationary measure,transfer matrix,quantum probability,classification |
Field | DocType | Volume |
Applied mathematics,Matrix (mathematics),Mathematical analysis,Quantum walk,Eigenvalues and eigenvectors,Mathematics | Journal | 19 |
Issue | ISSN | Citations |
11-12 | 1533-7146 | 0 |
PageRank | References | Authors |
0.34 | 7 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takako Endo | 1 | 0 | 0.34 |
| Takashi Komatsu | 2 | 113 | 33.96 |
| Norio Konno | 3 | 125 | 29.90 |
| Tomoyuki Terada | 4 | 0 | 0.34 |