Spatial entanglement dynamics between two quantum walkers with symmetric and anti-symmetric coins
Poster
Authors/Editors
Strategic Research Themes
Publication Details
Author list: MUHAMMAD, IBRAHIM YAHAYA, YOO-KONG, SIKARIN, DEESUWAN, TANAPAT, TANASITTIKOSOL, MONSIT, TANGWANCHAROEN, SUWAT
Publication year: 2021
Start page: 111
URL: https://samop21.dpg-tagungen.de/programm/assets/verhandlungen-samop21.pdf
Abstract
We investigate the dynamics of the spatial entanglement between two initially independent walkers that individually and identically perform discrete-time quantum walk with symmetric and anti-symmetric initial coin states. The numerical results show that the spatial entanglement between the two walkers behaves similarly to the dynamics of an underdamped oscillator. By considering the symmetry associated with the setting and post-selecting the states of the two coins accordingly, we show both numerically and analytically that, for the anti-symmetric initial coin state, the entanglement dynamics corresponding to all the "triplet" results are constant, and the damping behaviour only shows up in the "singlet" result. On the other hand, for the symmetric initial coin state, the relationships between the entanglement dynamics and the post-selecting results are the other way around. Moreover, we obtain the relationship between the period of oscillation (T) and the coin operator parameter (𝜃) for the damping case as T = 𝜋/𝜃. Our find- ings reveal some interesting aspects of symmetry and quantum walks, which may be useful for applications in quantum communication and other quantum technology.
Keywords
No matching items found.