Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 45, Issue 50, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/45/50/505301
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Funding
- '973' program [2010CB922904]
- NSF of China
- National Research Foundation, Singapore
- Ministry of Education, Singapore
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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.
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