Maximal and total skew information of three-qubit system obtained using nonlinear interaction models

doi:10.1088/1674-1056/21/1/010301

Abstract Both the maximal and the total skew information have been studied. For a three-qubit system implemented in three nonlinear interaction models, we give the exact state vector at any time t. Based on this, we give the maximal and the total skew information. It is found that they have the same form and their evolution periods are dependent on the energy difference between the ground state and the second excited state in these models. The maximal skew information is always in the (S_x,S_y) plane. We give the condition for the occurrence of |GHZ$\rangle$_S_y, in which they can reach the extreme values of 9/4 and 15/4, respectively. In three different decoherence channels, two kinds of information and the concurrence are calculated. We find that the phenomenon of the concurrence of sudden death occurs, but the above two kinds of information do not die suddenly. In the phase-damping channel, the two kinds of information will not be lost completely.

Keywords: maximal and total Wigner-Yanase skew information nonlinear interaction models three-qubit system three decoherence channels

Received: 08 November 2010
Revised: 05 September 2011
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	03.67.-a	(Quantum information)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the College Young Talents Foundation of Anhui Province, China (Grant No. 2010SQRL107), the Natural Science Foundation of the Education Department of Anhui Province, China (Grant No. KJ2008B83ZC) and the Natural Science Foundation of A

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Sun Hong-Gui(孙红贵), Zhang Li-Hua(章礼华), Liu Wan-Fang(刘万芳), and Li Chun-Jie(李春杰) Maximal and total skew information of three-qubit system obtained using nonlinear interaction models 2012 Chin. Phys. B 21 010301

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[1]	Maximal and total skew information for a two-qubit system using nonlinear interaction models Sun Hong-Gui(孙红贵), Liu Wan-Fang(刘万芳), and Li Chun-Jie(李春杰) . Chin. Phys. B, 2011, 20(9): 090301.

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