The pairwise correlations in a multi-qubit state are quantified through a linear variant of relative entropy. In particular, we derive the explicit expressions of total, quantum and classical bipartite correlations. Two different bi-partioning schemes are considered. We discuss the derivation of closest product, quantum-classical and quantum-classical product states. We also investigate the additivity relation between the various pairwise correlations existing in pure and mixed states. As illustration, some special cases are examined.
@article{arxiv.1412.0398,
title = {Pairwise quantum and classical correlations in multi-qubits states via linear relative entropy},
author = {M. Daoud and R. Ahl Laamara and H. El Hadfi},
journal= {arXiv preprint arXiv:1412.0398},
year = {2014}
}
Comments
19 pages, To appear in International Journal of Quantum Information