Cosentino, A; Severini, S; (2009) Weight of quadratic forms and graph states. PHYS REV A , 80 (5) , Article 052309. 10.1103/PhysRevA.80.052309.
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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.
|Title:||Weight of quadratic forms and graph states|
|Keywords:||graph theory, quantum computing, quantum entanglement, CODES|
|UCL classification:||UCL > School of BEAMS > Faculty of Engineering Science > Computer Science|
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