84 citations · 962 across the 88 of their papers we have counts for
5 papers · 2 filters
Balanced Tripartite Entanglement, the Alternating Group A4 and the Lie Algebra
Michel Planat, Peter Levay, Metod Saniga
We discuss three important classes of three-qubit entangled states and their encoding into quantum gates, finite groups and Lie algebras. States of the GHZ and W-type correspond to…
Geometric Hyperplanes of the Near Hexagon L_3 times GQ(2, 2)
Metod Saniga, Peter Levay, Michel Planat +1
Having in mind their potential quantum physical applications, we classify all geometric hyperplanes of the near hexagon that is a direct product of a line of size three and the gen…
The Veldkamp Space of the Smallest Slim Dense Near Hexagon
Richard M. Green, Metod Saniga
We give a detailed description of the Veldkamp space of the smallest slim dense near hexagon. This space is isomorphic to PG(7, 2) and its 2^8 - 1 = 255 Veldkamp points (that is, g…
Factor-Group-Generated Polar Spaces and (Multi-)Qudits
Hans Havlicek, Boris Odehnal, Metod Saniga
Recently, a number of interesting relations have been discovered between generalised Pauli/Dirac groups and certain finite geometries. Here, we succeeded in finding a general unify…
The Veldkamp Space of GQ(2,4)
Metod Saniga, Richard M. Green, Peter Levay +2
It is shown that the Veldkamp space of the unique generalized quadrangle GQ(2,4) is isomorphic to PG(5,2). Since the GQ(2,4) features only two kinds of geometric hyperplanes, namel…