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《Journal of Hainan Normal University(Natural Science)》 2018-01
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Lower Bound of Concurrence Based on Positive Maps

CHANG Jingmei;CUI Meiyu;HUANG Xiaofen;ZHANG Tinggui;School of Mathematics and Statistics,Hainan Normal University;Hainan Center for Mathematical Research,Hainan Normal University;  
In this paper,we construct a 3 × 3 parametric matrix map Φ which is positive but not completely positive to get a new lower bound of the concurrence. In the analysis of the specific state,we give a new different map by choosing appropriate parameter values,and then the different lower bound of concurrence can be obtained. The results show that under the same conditions the amount of entangled states detected under the new lower bound of concurrence,obtained from the map constructed by specific parameters,is more than some known separability criteria,such as the PPT criteria,the realignment criteria,and so on.
【Fund】: 国家自然科学基金(11501153 11661031);; 海南省自然科学基金(20161006);; 海南省教育厅项目(Hnky2015-18);; 2017海南省研究生创新科研课题(Hys2017-138)
【CateGory Index】: O151.21
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