Cosentino, A and 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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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.
| Type: | Article |
|---|---|
| Title: | Weight of quadratic forms and graph states |
| DOI: | 10.1103/PhysRevA.80.052309 |
| Keywords: | graph theory, quantum computing, quantum entanglement, CODES |
| UCL classification: | UCL > School of BEAMS > Faculty of Engineering Science > Computer Science |
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