41 citations · 176 across the 15 of their papers we have counts for
15 papers
Veldkamp Spaces: From (Dynkin) Diagrams to (Pauli) Groups
Metod Saniga, Frederic Holweck, Petr Pracna
Regarding a Dynkin diagram as a specific point-line incidence structure (where each line has just two points), one can associate with it a Veldkamp space. Focusing on extended Dynk…
Cayley-Dickson Algebras and Finite Geometry
Metod Saniga, Frederic Holweck, Petr Pracna
Given a -dimensional Cayley-Dickson algebra, where , we first observe that the multiplication table of its imaginary units , , is e…
Veldkamp-Space Aspects of a Sequence of Nested Binary Segre Varieties
Metod Saniga, Hans Havlicek, Frederic Holweck +2
Let be a Segre variety that is -fold direct product of projective lines of size three. Given two geome…
'Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon
Metod Saniga, Michel Planat, Petr Pracna +1
Recently Waegell and Aravind [J. Phys. A: Math. Theor. 45 (2012), 405301, 13 pages] have given a number of distinct sets of three-qubit observables, each furnishing a proof of the…
Charting the Real Four-Qubit Pauli Group via Ovoids of a Hyperbolic Quadric of PG(7,2)
Metod Saniga, Peter Levay, Petr Pracna
The geometry of the real four-qubit Pauli group, being embodied in the structure of the symplectic polar space W(7,2), is analyzed in terms of ovoids of a hyperbolic quadric of PG(…
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…