27 citations · 299 across the 36 of their papers we have counts for
5 papers · 1 filter
Contextuality with a Small Number of Observables
Frédéric Holweck, Metod Saniga
We investigate small geometric configurations that furnish observable-based proofs of the Kochen-Specker theorem. Assuming that each context consists of the same number of observab…
Grover's Algorithm and the Secant Varieties
Frédéric Holweck, Hamza Jaffali, Ismaël Nounouh
In this paper we investigate the entanglement nature of quantum states generated by Grover's search algorithm by means of algebraic geometry. More precisely we establish a link bet…
Entanglement of four-qubit systems: a geometric atlas with polynomial compass II (the tame world)
Frédéric Holweck, Jean-Garbriel Luque, Jean-Yves Thibon
We propose a new approach to the geometry of the four-qubit entanglement classes depending on parameters. More precisely, we use invariant theory and algebraic geometry to describe…
Three-qutrit entanglement and simple singularities
Frédéric Holweck, Hamza Jaffali
In this paper, we use singularity theory to study the entanglement nature of pure three-qutrit systems. We first consider the algebraic variety of separable three-qutrit states…
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…