Detecting genuine multipartite correlations in terms of the rank of coefficient matrix

Abstract

We propose a method to detect genuine quantum correlation for arbitrary quantum state 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 one. 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 pure state.

arXiv comment5 pages, 1 figure. Comments are welcome

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Cited by in corpus (5)

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• Genuine multipartite correlations in Dicke Superradiance
• Quantum Correlations in Cavity QED Networks
• Entanglement classification via integer partitions