Super-quantum discord with weak measurement in circuit QED

Super-quantum discord (SQD) with weak measurement is regarded as a kind of quantum correlation in quantum information processing. We investigate the dynamical evolution of SQD under weak measurement in circuit quantum electrodynamics (circuit QED). The results indicate that in the correlated dephasing decay channel, the SQD monotonously tends to a stable value depending on the purity of initial quantum state, and the freezing phenomenon occurs. In the correlated instantaneous decay channel, however, not only the detuning sudden change but also the freezing phenomenon appear, and the freezing stable value is unrelated to the purity of the initial quantum state. The results reveal that the dynamical behavior of SQD entirely differs from the quantum discord, and it could become one important resource of quantum information.