Name
Abstract | ||
|---|---|---|
Stationary measures of quantum walks on the one-dimensional integer lattice are well studied. However, the stationary measure for the higher-dimensional case has not been clarified. In this paper, we give the stationary amplitude for quantum walks on the d-dimensional integer lattice with a finite support by solving the corresponding eigenvalue problem. As a corollary, we can obtain the stationary measures of the Grover walks. In fact, the amplitude for the stationary measure is an eigenfunction with eigenvalue 1. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s11128-017-1737-1 | Quantum Information Processing |
Keywords | Field | DocType |
Discrete time quantum walk,Stationary amplitude,Higher-dimensional integer lattice,Stationary measure | Eigenfunction,Quantum mechanics,Quantum walk,Stationary sequence,Integer lattice,Corollary,Amplitude,Eigenvalues and eigenvectors,Physics | Journal |
Volume | Issue | ISSN |
16 | 12 | Quantum Information Processing 16, 291 (2017) |
Citations | PageRank | References |
1 | 0.38 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takashi Komatsu | 1 | 113 | 33.96 |
| Norio Konno | 2 | 125 | 29.90 |