Coherence and entropic uncertainty relation of dipole-coupled qubits under decoherence

Quantum coherence is an essential physical resource in quantum information processing. Recently, an improved unilateral coherence inequation related to the quantum-memory-assisted entropic uncertainty relation was derived with the help of Holevo quantity and mutual information. Here we consider a coupled dipolar system driven by a coherent radiation field, and investigate the dynamics of unilateral coherence and entropic uncertainty of the system under the high temperature noise. The results show that as time increases, the unilateral coherence and the quantum entanglement of the system decrease, whereas the entropic uncertainty of the measured dipole enhances. Moreover, the detuning between the radiation field and the dipoles can induce the periodic oscillations of systemic coherence and entropic uncertainty during time evolution, and the oscillations are positively correlated with the Rabi frequency. Our findings could shed some light on the quantum coherent modulation and precision measurement for the dipole-coupled atomic or molecular system in the noisy environments.