F. Holweck

activity

20122023

most citedEntanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)

27 citations · 299 across the 36 of their papers we have counts for

collaborators

Showing 2013 · math-phShow all

3 papers · 2 filters

math-ph2013★ 12 cited

Singularity of type $D_{4}$ arising from four qubit systems

Frédéric Holweck, Jean-Gabriel Luque, Michel Planat

An intriguing correspondence between four-qubit systems and simple singularity of type $D_{4}$ is established. We first consider an algebraic variety $X$ of separable states within t…

math-ph2013★ 6 cited

A Notable Relation between $N$ -Qubit and $2^{N - 1}$ -Qubit Pauli Groups via Binary $LGr (N, 2 N)$

Frédéric Holweck, Metod Saniga, Péter Lévay

Employing the fact that the geometry of the $N$ -qubit ( $N \geq 2$ ) Pauli group is embodied in the structure of the symplectic polar space $W (2 N - 1, 2)$ and using properties…

math-ph2013★ 27 cited

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…

Singularity of type D4​ arising from four qubit systems

A Notable Relation between N-Qubit and 2N−1-Qubit Pauli Groups via Binary LGr(N,2N)

Entanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)

Singularity of type $D_{4}$ arising from four qubit systems

A Notable Relation between $N$ -Qubit and $2^{N - 1}$ -Qubit Pauli Groups via Binary $LGr (N, 2 N)$