Abstract
A one-dimensional chain of long-range vibrational trapped ions at low phonon temperatures is employed to simulate the arising and robustness of the information of nonlocal correlations among correlated and uncorrelated sites. We demonstrate that the direction of the acting global magnetic field in Paul’s trap controls the dynamics of correlations and entanglement between ions. Also, we analyze the robustness of the nonlocal correlations in the trap under the impact of ions vibrating and the interaction strength of ions by considering the distance between them. The criteria of concurrence entanglement, Bell inequality, and uncertainty-induced nonlocality are studied to detect the nonlocal correlations among ions that decide the fundamental resources of information in the chain. Furthermore, the analytical solution describing the decoherence equation under the ionic vibration in Paul’s trap is found to track encoded information in the chain.
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