Effect of Different Environments on Multipartite Global Discord

We investigate the influences of non-Markovian dissipation and global dephasing process on the dynamical behaviors of global discord among four qubits. We find that for the non-Markovian dissipation model W state is the most robust to decoherence compared to Dicke and GHZ states; however, for the global dephasing model Dicke state is the most robust to decoherence among them. Also the dynamical behaviors of global quantum discord are quite different from that of the multipartite entanglement for the non-Markovian dissipation model, while they are very similar to each other for the global dephasing model.