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arXiv · 0906.2488

Weight of quadratic forms and graph states

Alessandro Cosentino·Simone Severini
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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.

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Alessandro Cosentino, Simone Severini. 2009-11-10. Weight of quadratic forms and graph states. https://doi.org/10.1103/physreva.80.052309

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