Please use this identifier to cite or link to this item: https://doi.org/10.1088/1751-8113/45/50/505301
Title: Detecting genuine multipartite correlations in terms of the rank of coefficient matrix
Authors: Li, B.
Kwek, L.C. 
Fan, H.
Issue Date: 21-Dec-2012
Citation: Li, B., Kwek, L.C., Fan, H. (2012-12-21). Detecting genuine multipartite correlations in terms of the rank of coefficient matrix. Journal of Physics A: Mathematical and Theoretical 45 (50) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1751-8113/45/50/505301
Abstract: We propose a method to detect genuine quantum correlation for arbitrary quantum states in terms of the rank of coefficient matrices associated with the pure state. We then derive a necessary and sufficient condition for a quantum state to possess genuine correlation, namely that all corresponding coefficient matrices have rank larger than 1. We demonstrate an approach to decompose the genuine quantum correlated state with high rank coefficient matrix into the form of product states with no genuine quantum correlation for a pure state. © 2012 IOP Publishing Ltd.
Source Title: Journal of Physics A: Mathematical and Theoretical
URI: http://scholarbank.nus.edu.sg/handle/10635/116287
ISSN: 17518113
DOI: 10.1088/1751-8113/45/50/505301
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