Weight of quadratic forms and graph states
| Autor: | Cosentino, Alessandro, Severini, Simone |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 80, 052309 (2009) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.80.052309 |
| Popis: | 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. Comment: 8 pages, 3 eps figure, REVTeX; v2: We have extended the introduction, included extra references and added two figures; v3: small typos fixed |
| Databáze: | arXiv |
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