Generalized Schmidt decomposition and classification of three-quantum-bit states
Quantum Physics
2009-11-06 v3
Abstract
We prove for any pure three-quantum-bit state the existence of local bases which allow to build a set of five orthogonal product states in terms of which the state can be written in a unique form. This leads to a canonical form which generalizes the two-quantum-bit Schmidt decomposition. It is uniquely characterized by the five entanglement parameters. It leads to a complete classification of the three-quantum-bit states. It shows that the right outcome of an adequate local measurement always erases all entanglement between the other two parties.
Cite
@article{arxiv.quant-ph/0003050,
title = {Generalized Schmidt decomposition and classification of three-quantum-bit states},
author = {A. Acin and A. Andrianov and L. Costa and E. Jane and J. I. Latorre and R. Tarrach},
journal= {arXiv preprint arXiv:quant-ph/0003050},
year = {2009}
}
Comments
4 pages, Revtex. Published version, minor changes and new references added