Dynamics of entanglement and Bell-nonlocality for the interacting of coupled superconductor qubits and common environment

Abstract

Utilizing the concurrence and the Bell inequality, we investigated in detail the evolution of entangled decoherence of two superconductor qubits in non-Markovian process. The results show that the evolution of entanglement dynamics can cause entanglement sudden death (ESD) and entanglement sudden birth (ESB) because of the interaction between the environment and the quantum qubits. The concurrence of a quantum system is not only related with the environmental dissipation effects, the interaction between the qubits, and the initial quantum state, but also strongly related with the coupling symmetry between qubit-environment. Under certain initial states, the effect of environmental dissipation can be avoided completely by controlling the coupling model between qubits and environments. The interaction between qubits can prolong the survival time of the entanglement, and it is the dynamic for reviving the entanglement of quantum system. The further research results indicate that, the non-Markovian memory effects of the environment are helpful to prolong the survival time of the entanglement or to prevent the outbreak of ESD.