Classification of mixed three-qubit states
Quantum Physics
2009-11-07 v1
Abstract
We introduce a classification of mixed three-qubit states, in which we define the classes of separable, biseparable, W- and GHZ-states. These classes are successively embedded into each other. We show that contrary to pure W-type states, the mixed W-class is not of measure zero. We construct witness operators that detect the class of a mixed state. We discuss the conjecture that all entangled states with positive partial transpose (PPTES) belong to the W-class. Finally, we present a new family of PPTES "edge" states with maximal ranks.
Keywords
Cite
@article{arxiv.quant-ph/0103025,
title = {Classification of mixed three-qubit states},
author = {A. Acin and D. Bruss and M. Lewenstein and A. Sanpera},
journal= {arXiv preprint arXiv:quant-ph/0103025},
year = {2009}
}
Comments
4 pages, 1 figure