84 citations · 962 across the 88 of their papers we have counts for
21 papers · 1 filter
-States From a Finite Geometric Perspective
Colm Kelleher, Frédéric Holweck, Péter Lévay +1
It is found that different types of two-qubit -states split naturally into two sets (of cardinality and ) once their entanglement properties are taken into account.…
A Combinatorial Grassmannian Representation of the Magic Three-Qubit Veldkamp Line
Metod Saniga
It is demonstrated that the magic three-qubit Veldkamp line occurs naturally within the Veldkamp space of combinatorial Grassmannian of type , . The li…
A Notable Relation between -Qubit and -Qubit Pauli Groups via Binary
Frédéric Holweck, Metod Saniga, Péter Lévay
Employing the fact that the geometry of the -qubit () Pauli group is embodied in the structure of the symplectic polar space and using properties…
Grassmannian Connection Between Three- and Four-Qubit Observables, Mermin's Contextuality and Black Holes
Peter Levay, Michel Planat, Metod Saniga
We invoke some ideas from finite geometry to map bijectively 135 heptads of mutually commuting three-qubit observables into 135 symmetric four-qubit ones. After labeling the elemen…
Distinguished three-qubit 'magicity' via automorphisms of the split Cayley hexagon
Michel Planat, Metod Saniga, Frederic Holweck
Disregarding the identity, the remaining 63 elements of the generalized three-qubit Pauli group are found to contain 12096 distinct copies of Mermin's magic pentagram. Remarkably,…
'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…