Geometric discord for non-X states

doi:10.1088/1674-1056/23/6/060307

Abstract The level surfaces of geometric discord for a class of two-qubit non-X states are investigated when the Bloch vectors are in arbitrary directions. The level surfaces of constant geometric discord are formed by three intersecting open tubes along three orthogonal directions. When Bloch vectors increase, the tubes along one or two directions shrink towards the center and may either totally disappear or the open tubes may become closed tubes when the Bloch vectors reach a critical value. In the generalized amplitude damping channel, the evolution of geometric discord shows double sudden changes when the parameter γ increases. In the phase damping channel, the freezing phenomenon of geometric discord also exists.

Keywords: geometric discord non-X states Bloch vectors generalized amplitude damping channel phase damping channel

Received: 21 September 2013
Revised: 09 November 2013
Accepted manuscript online:

PACS:	03.67.-a	(Quantum information)
	75.10.Pq	(Spin chain models)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074184, 11204197, and 11105095), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20103201120002), and the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)).

Corresponding Authors: Dong Yu-Li, Zhu Shi-Qun
E-mail: yldong@suda.edu.cn;szhu@suda.edu.cn

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Liu Chen (刘辰), Dong Yu-Li (董裕力), Zhu Shi-Qun (朱士群) Geometric discord for non-X states 2014 Chin. Phys. B 23 060307

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