Weight of quadratic forms and graph states

Details Weight of quadratic forms and graph states Weight of quadratic forms and graph states

2009-06-13

arxiv.org/abs/0906.2488v3

Phys. Rev. A 80, 052309 (2009)

Physics

Quantum Physics

8 pages, 3 eps figure, REVTeX; v2: We have extended the introduction, included extra references and added two figures; v3: sma

Scientific paper

10.1103/PhysRevA.80.052309

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.

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