Dense Coding and Quantum Memory Assisted Entropic Uncertainty Relations in a Two-Qubit State Influenced by Dipole and Symmetric Cross Interactions

Optimal dense coding and entropic uncertainty relation of quantum memory (EUR-QM) of the two-qubit Heisenberg chain model influenced by atomic dipole and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions are studied. The temporal evolution of the two functions at the phase decoherence environment with the Werner state as the initial state is discussed. The results imply that the dense coding and EUR-QM have a contrary relationship, and an increase in the phase decoherence rate reduces the behavior of the two functions. The growth in coupling dipole interaction plays a role in oscillating and increasing the minimum bounds of the dense coding capacity. On the other hand, the effect of a thermal bath on the two functions at finite temperatures is investigated. The coding capacity suffers from sudden death as the temperature increases. The possibility of restraining the sudden death induced by the temperature may be enhanced by increasing the strength of the symmetric cross interaction. As the coupling of dipole increases, the EUR-QM decreases while the coding capacity rises to its maximum value.