2014/10/27 by Feng Liu, Liu, Feng, Fei Gao +5
Chemistry · Computer Science · #FOS: Physical sciences #Molecular spectroscopy and chirality #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1410.7245
openalex publication_date 2014/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For any n-partite state ρ_A1A2⋅⋅⋅ An, we define its quantum mutual information matrix as an n by n matrix whose (i,j)-entry is given by quantum mutual information I(ρ_AiAj). Although each entry of quantum mutual information matrix, like its classical counterpart, is also used to measure bipartite correlations, the similarity ends here: quantum mutual information matrices are not always positive semidefinite even for collections of up to 3-partite states. In this work, we obtain necessary and sufficient conditions for the positive semidefinite quantum mutual information matrix. We further define the genuine n-partite mutual information which can be easily calculated. This definition is symmetric, nonnegative, bounded and more accurate for measuring multipartite states.