516 citations · 4.2k across the 120 of their papers we have counts for
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Two-colorable graph states with maximal Schmidt measure
Simone Severini
The Schmidt measure was introduced by Eisert and Briegel for quantifying the degree of entanglement of multipartite quantum systems [Phys. Rev. A 64, 022306 (2001)]. Although gener…
Some families of density matrices for which separability is easily tested
Samuel L. Braunstein, Sibasish Ghosh, Toufik Mansour +2
We reconsider density matrices of graphs as defined in [quant-ph/0406165]. The density matrix of a graph is the combinatorial laplacian of the graph normalized to have unit trace.…
On the X-rays of permutations
Cecilia Bebeacua, Toufik Mansour, Alexander Postnikov +1
The X-ray of a permutation is defined as the sequence of antidiagonal sums in the associated permutation matrix. X-rays of permutation are interesting in the context of Discrete To…
A matrix representation of graphs and its spectrum as a graph invariant
David Emms, Edwin R. Hancock, Simone Severini +1
We use the line digraph construction to associate an orthogonal matrix with each graph. From this orthogonal matrix, we derive two further matrices. The spectrum of each of these t…
Entangling Power of Permutations
Lieven Clarisse, Sibasish Ghosh, Simone Severini +1
The notion of entangling power of unitary matrices was introduced by Zanardi, Zalka and Faoro [PRA, 62, 030301]. We study the entangling power of permutations, given in terms of a…