Relative ordering of square-norm distance correlations in open quantum systems

doi:10.1088/1674-1056/23/10/100302

›› 2014, Vol. 23 ›› Issue (10): 100302-100302.doi: 10.1088/1674-1056/23/10/100302

Relative ordering of square-norm distance correlations in open quantum systems

吴韬^a, 宋学科^b, 叶柳^b

a School of Physics & Electronics Engineering, Fuyang Teachers College, Fuyang 236037, China;
b School of Physics & Material Science, Anhui University, Hefei 230039, China

收稿日期:2013-12-15 修回日期:2014-04-03 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074002 and 61275119) and the Natural Science Research Project of Education Department of Anhui Province, China (Grant No. KJ2013A205).

Relative ordering of square-norm distance correlations in open quantum systems

Wu Tao (吴韬)^a, Song Xue-Ke (宋学科)^b, Ye Liu (叶柳)^b

a School of Physics & Electronics Engineering, Fuyang Teachers College, Fuyang 236037, China;
b School of Physics & Material Science, Anhui University, Hefei 230039, China

Received:2013-12-15 Revised:2014-04-03 Online:2014-10-15 Published:2014-10-15
Contact: Wu Tao E-mail:wutaofuyang@126.com
About author:03.65.Ta; 03.65.Yz; 03.67.Lx
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074002 and 61275119) and the Natural Science Research Project of Education Department of Anhui Province, China (Grant No. KJ2013A205).

摘要/Abstract

摘要： We investigate the square-norm distance correlation dynamics of the Bell-diagonal states under different local decoherence channels, including phase flip, bit flip, and bit-phase flip channels by employing the geometric discord (GD) and its modified geometric discord (MGD), as the measures of the square-norm distance correlations. Moreover, an explicit comparison between them is made in detail. The results show that there is no distinct dominant relative ordering between them. Furthermore, we obtain that the GD just gradually deceases to zero, while MGD initially has a large freezing interval, and then suddenly changes in evolution. The longer the freezing interval, the less the MGD is. Interestingly, it is shown that the dynamic behaviors of the two geometric discords under the three noisy environments for the Werner-type initial states are the same.

关键词: decoherence, geometric discord, modified geometric discord, trace distance correlation

Abstract: We investigate the square-norm distance correlation dynamics of the Bell-diagonal states under different local decoherence channels, including phase flip, bit flip, and bit-phase flip channels by employing the geometric discord (GD) and its modified geometric discord (MGD), as the measures of the square-norm distance correlations. Moreover, an explicit comparison between them is made in detail. The results show that there is no distinct dominant relative ordering between them. Furthermore, we obtain that the GD just gradually deceases to zero, while MGD initially has a large freezing interval, and then suddenly changes in evolution. The longer the freezing interval, the less the MGD is. Interestingly, it is shown that the dynamic behaviors of the two geometric discords under the three noisy environments for the Werner-type initial states are the same.

Key words: decoherence, geometric discord, modified geometric discord, trace distance correlation

中图分类号: (Foundations of quantum mechanics; measurement theory)

03.65.Ta

03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.67.Lx (Quantum computation architectures and implementations)

吴韬, 宋学科, 叶柳. Relative ordering of square-norm distance correlations in open quantum systems[J]. , 2014, 23(10): 100302-100302.

Wu Tao (吴韬), Song Xue-Ke (宋学科), Ye Liu (叶柳). Relative ordering of square-norm distance correlations in open quantum systems[J]. Chin. Phys. B, 2014, 23(10): 100302-100302.

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Relative ordering of square-norm distance correlations in open quantum systems

Relative ordering of square-norm distance correlations in open quantum systems

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