Monogamy of quantum correlations in the one-dimensional anisotropic XY model

doi:10.1088/1674-1056/23/1/010302

Abstract In this paper, the monogamy properties of some quantum correlations, including the geometric quantum discord, concurrence, entanglement of formation and entropy quantum discord, in the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii–Moriya (DM) interaction have been investigated using the quantum renormalization group (QRG) method. We summarize the monogamy relation for different quantum correlation measures and make an explicit comparison. Through mathematical calculations and analysis, we obtain that no matter whether the QRG steps are carried out, the monogamy of the given states are always unaltered. Moreover, we conclude that the geometric quantum discord and concurrence obey the monogamy property while other quantum correlation measures, such as entanglement of formation and quantum discord, violate it for this given model.

Keywords: monogamy relation geometric quantum discord entanglement of formation entropy quantum discord

Received: 09 April 2013
Revised: 04 June 2013
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.-a	(Quantum information)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grants Nos. 11074002 and 61275119), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20103401110003), and the Personal Development Foundation of Anhui Province, China (Grant No. 2008Z018).

Corresponding Authors: Ye Liu
E-mail: yeliu@ahu.edu.cn

Cite this article:

Xu Shuai (徐帅), Song Xue-Ke (宋学科), Ye Liu (叶柳) Monogamy of quantum correlations in the one-dimensional anisotropic XY model 2014 Chin. Phys. B 23 010302

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