2012/05/31 by Bo Li, L. C. Kwek, Leong Chuan Kwek +1 · 10 citations
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Chemistry #Coefficient matrix #Combinatorics #Correlation coefficient #Eigenvalues and eigenvectors #Mathematics #Matrix (chemical analysis) #Multipartite #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum state #Rank (graph theory) #Rank correlation #State (computer science) #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1088/1751-8113/45/50/505301
published in Journal of Physics A Mathematical and Theoretical 45(50), 505301 (Institute of Physics) · 5 pages, 1 figure. Comments are welcome
arxiv created 2012/11/03 · openalex publication_date 2012/11/21 · arxiv updated 2012/11/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.