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

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

中国物理B ›› 2012, Vol. 21 ›› Issue (1): 10301-010301.doi: 10.1088/1674-1056/21/1/010301

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

李春杰¹, 孙红贵², 章礼华³, 刘万芳³

(1)College of Physics, Changchun Normal University, Changchun 130032, China; (2)Mechanical and Electrical Engineering College, Jiaxing University, Jiaxing 314001, China; (3)School of Physics and Electric Engineering, Anqing Teachers College, Anqing 246011, China

收稿日期:2010-11-08 修回日期:2011-09-05 出版日期:2012-01-15 发布日期:2012-01-20
基金资助:
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

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

Sun Hong-Gui(孙红贵)^a)†, Zhang Li-Hua(章礼华)^b), Liu Wan-Fang(刘万芳)^b), and Li Chun-Jie(李春杰)^c)

^a Mechanical and Electrical Engineering College, Jiaxing University, Jiaxing 314001, China; ^b School of Physics and Electric Engineering, Anqing Teachers College, Anqing 246011, China; ^c College of Physics, Changchun Normal University, Changchun 130032, China

Received:2010-11-08 Revised:2011-09-05 Online:2012-01-15 Published:2012-01-20
Supported by:
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

摘要/Abstract

摘要： 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〉_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.

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

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.

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

中图分类号: (Quantum mechanics)

03.65.-w

03.67.-a (Quantum information) 05.45.-a (Nonlinear dynamics and chaos)

孙红贵, 章礼华, 刘万芳, 李春杰. Maximal and total skew information of three-qubit system obtained using nonlinear interaction models[J]. 中国物理B, 2012, 21(1): 10301-010301.

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[J]. Chin. Phys. B, 2012, 21(1): 10301-010301.

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

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

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