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

38 papers

quant-ph2023★ 2 cited

Maximally entangled real states and SLOCC invariants: the 3-qutrit case

Hamza Jaffali, Frédéric Holweck, Luke Oeding

The absolute values of polynomial SLOCC invariants (which always vanish on separable states) can be seen as measures of entanglement. We study the case of real 3-qutrit systems and…

quant-ph2023★ 4 cited

New and improved bounds on the contextuality degree of multi-qubit configurations

Axel Muller, Metod Saniga, Alain Giorgetti +2

We present algorithms and a C code to reveal quantum contextuality and evaluate the contextuality degree (a way to quantify contextuality) for a variety of point-line geometries lo…

quant-ph2023

A hyperdeterminant on Fermionic Fock Space

Frédéric Holweck, Luke Oeding

Twenty years ago Cayley's hyperdeterminant, the degree four invariant of the polynomial ring $\mathbb{C}[\mathbb{C}^2\otimes\mathbb{C}^2\otimes \mathbb{C}^2]^{{\text{SL}_2(\mathbb{…

quant-ph2022

Robust digital optimal control on IBM quantum computers

Meri Harutyunyan, Frederic Holweck, Dominique Sugny +1

The ability of pulse-shaping devices to generate accurately quantum optimal control is a strong limitation to the development of quantum technologies. We propose and demonstrate a…

math.AG2022

Toward Jordan Decompositions of Tensors

Frederic Holweck, Luke Oeding

We expand on an idea of Vinberg to take a tensor space and the natural Lie algebra that acts on it and embed their direct sum into an auxiliary algebra. Viewed as endomorphisms of…

quant-ph2022★ 6 cited

Multi-qubit doilies: enumeration for all ranks and classification for ranks four and five

Axel Muller, Metod Saniga, Alain Giorgetti +2

For , an -qubit doily is a doily living in the -qubit symplectic polar space. These doilies are related to operator-based proofs of quantum contextuality. Following…