Study Of Quantum Correlation And Geometric Phase In Superconducing Two-qubit System

In this paper, we have a research on the quantum correlations and geometric phase of superconducting two-qubit coupling system in dissipative environment, the time-dependent Pancharatnam phase, the quantum discord and the concurrence are studied for the two-qubit system in correlated dephasing environment. We find that the concurrence and quantum correlation are strongly dependent on the initial quantum states, the method of coupling between qubits with the environment. We also find that quantum discord is more stable than concurrence and easier to implement quantum communication and quantum computation. Besides, we find open systems dissipation substantially have no effect on Pancharatnam geometric phase. So the geometric phase of the anti-decoherence is much superior than quantum entanglement.We also discuss the law of quantum correlation and geometric phase between the passive decay and death association. We find that in both X-state and Y-state, the rapid changes of the time-dependent Pancharatnam phase are intrinsic in the died and alive phenomena of quantum entanglement described by the concurrence under the exactly same parameters, while the slow changes of the time-dependent Pancharatnam phase correspond to the sudden death of entanglement. The results show that the time-dependent Pancharatnam phases not only keep the motion memory of such a two-qubit system, but also have the information of quantum correlations. This provides useful clues for geometric quantum computing.