Separability, entanglement and full families of commuting normal matrices
Quantum Physics
2009-11-13 v2
Abstract
We reduce the question whether a given quantum mixed state is separable or entangled to the problem of existence of a certain full family of commuting normal matrices whose matrix elements are partially determined by components of the pure states constituting a decomposition of the considered mixture. The method reproduces many known entanglement and/or separability criteria, and provides yet another geometrical characterization of mixed separable states.
Keywords
Cite
@article{arxiv.0704.2597,
title = {Separability, entanglement and full families of commuting normal matrices},
author = {Jan Samsonowicz and Marek Kus and Maciej Lewenstein},
journal= {arXiv preprint arXiv:0704.2597},
year = {2009}
}
Comments
14 pages, some typos corrected, a reference added, in print in Phys. Rev. A