Weakly-entangled states are dense and robust
Quantum Physics
2009-11-10 v3
Abstract
Motivated by the mathematical definition of entanglement we undertake a rigorous analysis of the separability and non-distillability properties in the neighborhood of those three-qubit mixed states which are entangled and completely bi-separable. Our results are not only restricted to this class of quantum states, since they rest upon very general properties of mixed states and Unextendible Product Bases for any possible number of parties. Robustness against noise of the relevant properties of these states implies the significance of their possible experimental realization, therefore being of physical -and not exclusively mathematical- interest.
Cite
@article{arxiv.quant-ph/0404100,
title = {Weakly-entangled states are dense and robust},
author = {Roman Orus and Rolf Tarrach},
journal= {arXiv preprint arXiv:quant-ph/0404100},
year = {2009}
}
Comments
4 pages, final version, accepted for publication in PRA