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

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

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.

Keywords: decoherence geometric discord modified geometric discord trace distance correlation

Received: 15 December 2013
Revised: 03 April 2014
Accepted manuscript online:

PACS:	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.67.Lx	(Quantum computation architectures and implementations)

Fund: 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).

Corresponding Authors: Wu Tao
E-mail: wutaofuyang@126.com

About author: 03.65.Ta; 03.65.Yz; 03.67.Lx

Cite this article:

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 2014 Chin. Phys. B 23 100302


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