Journal Title
Title of Journal: Quantum Inf Process
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Abbravation: Quantum Information Processing
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Authors: Zhiming Huang Daowen Qiu Paulo Mateus
Publish Date: 2015/11/13
Volume: 15, Issue: 1, Pages: 301-326
Abstract
We investigate the geometry of onenorm geometric quantum discord and present a geometric interpretation of onenorm geometric quantum discord for a class of twoqubit states It is found that onenorm geometric quantum discord has geometric behavior different from that described in Lang and Caves Phys Rev Lett 105150501 2010 Li et al Phys Rev A 83022321 2011 and Yao et al Phys Lett A 376358–364 2012 We also compare the dynamics of the onenorm geometric quantum discord and other measures of quantum correlations under correlated noise It is shown that different decoherent channels bring different influences to quantum correlations measured by concurrence entropic quantum discord and geometric quantum discord which depend on the memory parameter and decoherence parameter We lay emphasis on the behaviors such as entanglement sudden death and sudden transition of quantum discord Finally we study the dynamical behavior of onenorm geometric quantum discord in onedimensional anisotropic XXZ model by utilizing the quantum renormalization group method It is shown that the onenorm geometric quantum discord demonstrates quantum phase transition through renormalization group approachThe authors are grateful to the referees for invaluable suggestions that help us improve the quality of the paper This work is supported in part by the National Natural Science Foundation of China Nos 61272058 61572532 and FCT PEstOE/EEI/LA0008/2013 project namely through the IT internal project CVQuantum
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