Abstract

We investigate the level surfaces of geometric discord under some typical kinds of decoherence channels for a class of two-qubit states with the Bloch vectors $\overset {\rightharpoonup }{r}$ and $\overset {\rightharpoonup }{s}$ in z and x direction respectively. The surfaces of geometric discord are composed of three interaction ”cylinders” along three orthogonal directions of $\overset {\rightharpoonup }{c}_{1}$ , $\overset {\rightharpoonup }{c}_{2}$ and $\overset {\rightharpoonup }{c}_{3}$ . We study the different images corresponding to different values of geometric discord, the Bloch vectors as well as p. In the phase damping channel, the geometric discord keeps constant over a period of time, furthermore the geometric discord and the quantum discord have the same sudden change point for Non-X-structured state.

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