Weight of quadratic forms and graph states
Quantum Physics
2009-11-10 v3
Abstract
We prove a connection between Schmidt-rank and weight of quadratic forms. This provides a new tool for the classification of graph states based on entanglement. Our main tool arises from a reformulation of previously known results concerning the weight of quadratic forms in terms of graph states properties. As a byproduct, we obtain a straightforward characterization of the weight of functions associated with pivot-minor of bipartite graphs.
Cite
@article{arxiv.0906.2488,
title = {Weight of quadratic forms and graph states},
author = {Alessandro Cosentino and Simone Severini},
journal= {arXiv preprint arXiv:0906.2488},
year = {2009}
}
Comments
8 pages, 3 eps figure, REVTeX; v2: We have extended the introduction, included extra references and added two figures; v3: small typos fixed