Symmetric geometric measure and dynamics of quantum discord

doi:10.1088/1674-1056/22/4/040303

Abstract 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 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.

Keywords: quantum correlation geometric measure

Received: 21 December 2012
Revised: 25 January 2013
Accepted manuscript online:

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	03.67.-a	(Quantum information)

Fund: Project supported by the National Fundamental Research Program of China (Grant Nos. 2007CB925200), the National Natural Science Foundation of China (Grant No. 11275083), and Natural Science Foundation of Anhui Province of China (Grant No. KJ2012B180).

Corresponding Authors: Jiang Feng-Jian, Shi Ming-Jun
E-mail: jfjiang@mail.ustc.edu.cn; shmj@ustc.edu.cn

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Jiang Feng-Jian (蒋峰建), Lü Hai-Jiang (吕海江), Yan Xin-Hu (闫新虎), Shi Ming-Jun (石名俊) Symmetric geometric measure and dynamics of quantum discord 2013 Chin. Phys. B 22 040303

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