27 citations · 299 across the 36 of their papers we have counts for
4 papers · 1 filter
Singularity of type arising from four qubit systems
Frédéric Holweck, Jean-Gabriel Luque, Michel Planat
An intriguing correspondence between four-qubit systems and simple singularity of type is established. We first consider an algebraic variety of separable states within t…
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…
Quantum contextual finite geometries from dessins d'enfants
Michel Planat, Alain Giorgetti, Frédéric Holweck +1
We point out an explicit connection between graphs drawn on compact Riemann surfaces defined over the field of algebraic numbers --- so-called Grothendieck's {\i…
Entanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)
Frédéric Holweck, Jean-Gabriel Luque, Jean-Yves Thibon
We investigate the geometry of the four qubit systems by means of algebraic geometry and invariant theory, which allows us to interpret certain entangled states as algebraic variet…