On Quantum Correlations and Positive Maps
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
We present a discussion on local quantum correlations and their relations with entanglement. We prove that vanishing coefficient of quantum correlations implies separability. The new results on locally decomposable maps which we obtain in the course of proof also seem to be of independent interest.
Cite
@article{arxiv.math-ph/0403024,
title = {On Quantum Correlations and Positive Maps},
author = {W. A. Majewski},
journal= {arXiv preprint arXiv:math-ph/0403024},
year = {2009}
}
Comments
The paper completes the proof of Proposition 3 given in: W. A. Majewski, On entanglement of states and quantum correlations, in Operator algebras and Mathematical Physics, Eds. J.M. Combes, J. Cuntz, G.A. Elliott, G. Nenciu, H. Siedentop, S. Stratila; Theta, Bucharest, 2003. e-print, LANL math-ph/0202030. The paper will be published in Lett. Math. Phys