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Weight of quadratic forms and graph states

Source: Phys. Rev. A 80, 052309 (2009); doi:10.1103/PhysRevA.80.052309

Published 9 November 2009

EPAPS
KEYWORDS and PACS
Keywords
PACS
  • 03.67.Mn
    Entanglement measures, witnesses, and other characterizations (quantum information)
  • 03.67.Lx
    Quantum computation architectures and implementations
  • YEAR: 2009
PUBLICATION DATA
Publisher:
AIP is a member of CrossRef APS
Alessandro Cosentino
Dipartimento di Informatica, Università degli Studi di Pisa, 56127 Pisa, Italy

Simone Severini
Department of Physics & Astronomy, University College London, WC1E 6BT London, United Kingdom
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
History: Received 23 June 2009; published 9 November 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e052309
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