Pairwise correlations via quantum discord and its geometric measure in a four-qubit spin chain

Document Type : Original Article

Author

Faculty of Science, Assiut University, Assiut 71516, Egypt Al-Aflaj Community College, Salman Bin Abdulaziz University, Saudi Arabia

http://dx.doi.org/10.1016/j.joems.2012.10.005

Abstract

The dynamic of pairwise correlations, including quantum entanglement (QE) and discord
(QD) with geometric measure of quantum discord (GMQD), are shown in the four-qubit Heisenberg
XX spin chain. The results show that the effect of the entanglement degree of the initial state on the
pairwise correlations is stronger for alternate qubits than it is for nearest-neighbor qubits. This parameter
results in sudden death for QE, but it cannot do so for QD and GMQD. With different values for
this entanglement parameter of the initial state, QD and GMQD differ and are sensitive for any
change in this parameter. It is found that GMQD is more robust than both QD and QE to describe
correlations with nonzero values, which offers a valuable resource for quantum computation.

Keywords