One-Dimensional Three-State Quantum Walk with Single-Point Phase Defects
| Autor: | Gong-De Guo, Song Lin, Yong-Zhen Xu |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics and Astronomy (miscellaneous)
General Mathematics Operator (physics) Mathematical analysis Phase (waves) 01 natural sciences 010305 fluids & plasmas Matrix (mathematics) Position (vector) Quantum mechanics 0103 physical sciences Probability distribution Quantum walk 010306 general physics Parametrization Eigenvalues and eigenvectors Mathematics |
| Zdroj: | International Journal of Theoretical Physics. 55:4060-4074 |
| ISSN: | 1572-9575 0020-7748 |
| Popis: | In this paper, we study a three-state quantum walk with a phase defect at a designated position. The coin operator is a parametrization of the eigenvectors of the Grover matrix. We numerically investigate the properties of the proposed model via the position probability distribution, the position standard deviation, and the time-averaged probability at the designated position. It is shown that the localization effect can be governed by the phase defect’s position and strength, coin parameter and initial state. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|