Simeon Furrer, Dirk Dahlhaus
ISIT 2005
Recently normalized Laplacian matrices of graphs are studied as density matrices in quantum mechanics. Separability and entanglement of density matrices are important properties as they determine the nonclassical behavior in quantum systems. In this note we look at the graphs whose normalized Laplacian matrices are separable or entangled. In particular, we show that the number of such graphs is related to the number of 0-1 matrices that are line sum symmetric and to the number of graphs with at least one vertex of degree 1.
Simeon Furrer, Dirk Dahlhaus
ISIT 2005
W.F. Cody, H.M. Gladney, et al.
SPIE Medical Imaging 1994
R.A. Brualdi, A.J. Hoffman
Linear Algebra and Its Applications
Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering