Multiparticle entanglement and ranks of density matrices
Quantum Physics
2007-05-23 v1
Abstract
Based on the ranks of reduced density matrices, we derive necessary conditions for the separability of multiparticle arbitrary-dimensional mixed states, which are equivalent to sufficient conditions for entanglement. In a similar way we obtain necessary conditions for the separability of a given mixed state with respect to partitions of all particles of the system into subsets. The special case of pure states is discussed separately.
Cite
@article{arxiv.quant-ph/0512199,
title = {Multiparticle entanglement and ranks of density matrices},
author = {Bo Chong and Hellmut Keiter and Joachim Stolze},
journal= {arXiv preprint arXiv:quant-ph/0512199},
year = {2007}
}