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Quantum Information Processing

Renormalization of the global quantum correlation and monogamy relation in the anisotropic Heisenberg XXZ model

Meng Qin, Zhongzhou Ren, Xin Zhang

Published Nov 13, 2015• 16 citations
Publisher
DOI
10.1007/s11128-015-1167-x

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\n\nIn order to define quantum correlations, there are two important paradigms in quantum information theory, viz. the information-theoretic and the entanglement-separability ones. In this paper, we give an analytical relation between two measures of quantum correlations. One of them is related to the monogamy of squared bipartite quantum discord, which is a information-theoretic multipartite quantum correlation measure, while the other is the generalized geometric measure which lies in the entanglement-separability paradigm. We find a certain cone-like region on the two-dimensional spaces spanned by the two measures. Moreover, we have investigated the quantum phase transition with the two measures in the anisotropic spin XXZ model by exploiting the quantum renormalization group method.\n