SAMOP 2021 – scientific programme

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QI: Fachverband Quanteninformation

QI 8: Quantum Information: Poster (joint session QI/Q)

QI 8.13: Poster

Wednesday, September 22, 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.