SAMOP 2021 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 11: Quantum Information (joint session QI/Q)
Q 11.13: Poster
Mittwoch, 22. September 2021, 16:30–18:30, P
Spatial entanglement dynamics between two quantum walkers with symmetric and anti-symmetric coins — •Ibrahim Yahaya Muhammad1, Tanapat Deesuwan1, Sikarin Yoo-Kong2, Suwat Tangwancharoen1, and Monsit Tanasittikosol1 — 1Department of Physics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok, Thailand — 2The Institute for Fundamental Study (IF), Naresuan University, Phitsanulok, Thailand
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 findings reveal some interesting aspects of symmetry and quantum walks, which may be useful for applications in quantum communication and other quantum technology.