Phys. Rev. A 80, 052309 (2009) [6 pages]Weight of quadratic forms and graph statesReceived 23 June 2009; published 9 November 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.052309
DOI:
10.1103/PhysRevA.80.052309
PACS:
03.67.Mn, 03.67.Lx
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.