Dynamics of quantum correlation in presence of environment

Mingjun Shi, Fengjian Jiang, Jiangfeng Du

A symmetric measure of quantum correlation based on the Hilbert-Schmidt distance is presented in this paper. For two-qubit states, we simplify considerably the optimization procedure so that numerical evaluation can be performed efficiently. Analytical expressions for the quantum correlation are attained for some special states. We further investigate the dynamics of quantum correlation of the system qubits in the presence of independent dissipative environments. Several nontrivial aspects are demonstrated. We find that the quantum correlation can increase even if the system state is suffering dissipative noise. Sudden changes occur, even twice, in the time evolution of quantum correlation. There is certain correspondence between the evolution of quantum correlation in the systems and that in the environments, and the quantum correlation in the systems will be transferred into the environments completely and asymptotically.

S. V. Mousavi

Feng-Jian Jiang, Hai-Jiang Lü, Xin-Hu Yan +1 more

A symmetric measure of quantum correlation based on the Hilbert—Schmidt distance is presented in this paper. For two-qubit states, we considerably simplify the optimization procedure so that numerical evaluation can be performed efficiently. Analytical expressions for the quantum correlation are attained for some special states. We further investigate the dynamics of quantum correlation of the system qubits in the presence of independent dissipative environments. Several nontrivial aspects are demonstrated. We find that the quantum correlation can increase even if the system state is suffering from dissipative noise. Sudden changes occur, even twice, in the time evolution of quantum correlation. There exists a certain correspondence between the evolution of quantum correlation in the systems and that in the environments, and the quantum correlation in the systems will be transferred into the environments completely and asymptotically.

O. Kübler, H. D. Zeh

K. Berrada, A. Sabik, Hichem Eleuch

We study the coherence and quantum correlations for a system consisting of two interacting qubits under the effect of a common environment, where the system of qubits has the dephasing coupling with its surrounding. We study the dynamical behaviour of the quantumness measures when the influence of the qubits’ interaction on the dephasing is analyzed. We display the effect of the qubit-qubit interaction and qubits-environment interaction on the measures considering the case of symmetry and asymmetry interaction between the qubits and environment. Finally, we explicitly illustrate the relation between the coherence and quantum correlations and show that quantum coherence and correlations can be preserved during the dynamics.

Mohammad Javed, Salman Khan, Sayed Arif Ullah