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» Graphs, Quadratic Forms, and Quantum Codes
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CORR
2007
Springer
92views Education» more  CORR 2007»
13 years 5 months ago
Graphs, Quadratic Forms, and Quantum Codes
Markus Grassl, Andreas Klappenecker, Martin Rö...
WCC
2005
Springer
156views Cryptology» more  WCC 2005»
13 years 10 months ago
One and Two-Variable Interlace Polynomials: A Spectral Interpretation
We relate the one- and two-variable interlace polynomials of a graph to the spectra of a quadratic boolean function with respect to a strategic subset of local unitary transforms. ...
Constanza Riera, Matthew G. Parker
DCC
2008
IEEE
14 years 5 months ago
From graph states to two-graph states
The name `graph state' is used to describe a certain class of pure quantum state which models a physical structure on which one can perform measurement-based quantum computin...
Constanza Riera, Stéphane Jacob, Matthew G. Parke...
SETA
2004
Springer
93views Mathematics» more  SETA 2004»
13 years 10 months ago
Spectral Orbits and Peak-to-Average Power Ratio of Boolean Functions with Respect to the {I, H, N}n Transform
We enumerate the inequivalent self-dual additive codes over GF(4) of blocklength n, thereby extending the sequence A090899 in The On-Line Encyclopedia of Integer Sequences from n =...
Lars Eirik Danielsen, Matthew G. Parker
CVPR
2003
IEEE
13 years 10 months ago
Graph-Theoretic Approach to Clustering and Segmentation
We develop a framework for the image segmentation problem based on a new graph-theoretic formulation of clustering. The approach is motivated by the analogies between the intuitiv...
Massimiliano Pavan, Marcello Pelillo