Correlations production dynamics and dense coding by the dipolar interaction system with the Dzyaloshinskii–Moriya interaction

This paper studies the dynamics of correlations and quantum dense coding in a dipolar interacting system under the Dzyaloshinskii–Moriya interaction. We investigate the dynamics of entangled states, concurrence, and local quantum uncertainty to quantify the correlations of two-spin-1/2 particles coupled with dipolar spin interaction. We compare the dynamics of local quantum uncertainty and concurrence. The results show that local quantum uncertainty declines less than concurrence due to the nature of the interactions between the quantum components within the system. In addition, we show that local quantum uncertainty and concurrence for smaller times depend only on the probability amplitude causing the sudden reappearance of the entanglement phenomenon. However, a weak DM interaction and an axial parameter can markedly improve quantum correlations. Finally, the dense coding capacity is always optimal, allowing the system to act as a proper quantum channel for quantum information transfer in time.