Quantum coherence dynamics of three-qubit states in XY spin-chain environment

We investigate the dynamics of quantum coherence, based on relative entropy and quantum skew information, for tripartite systems in a quantum-critical environment. We demonstrate that initial states, the strength of magnetic field, anisotropy parameter, system-environment coupling, and the scale of the environment strongly affect coherence evolution. We find that two measures of coherence are frozen for the initial W state coupled to an XY spin-chain environment as the system-environment coupling satisfies certain conditions. We compare the dynamics of quantum coherence with that of the entanglement and the quantum discord. The analysis shows no hierarchical relationship among them.