Relating tripartite quantum discord with multisite entanglement and their performance in the one-dimensional anisotropic XXZ model
1 College of Sciences, China University of Mining and Technology - Xuzhou 221116, China
2 Department of Modern Physics, University of Science and Technology of China - Hefei 230026, China
Received: 18 November 2013
Accepted: 26 January 2014
In 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.
PACS: 03.67.Mn – Entanglement measures, witnesses, and other characterizations / 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 73.43.Nq – Quantum phase transitions
© EPLA, 2014