18 citations · 50 across the 9 of their papers we have counts for
11 papers
Four-Qubit CHSH Games
Joaquim Jusseau, Hamza Jaffali, Frédéric Holweck
In this paper, the CHSH quantum game is extended to four players. This is achieved by exploring all possible 4-variable Boolean functions to identify those that yield a game scenar…
H-DES: a Quantum-Classical Hybrid Differential Equation Solver
Hamza Jaffali, Jonas Bastos de Araujo, Nadia Milazzo +6
In this article, we introduce an original hybrid quantum-classical algorithm based on a variational quantum algorithm for solving systems of differential equations. The algorithm r…
Two new non-equivalent three-qubit CHSH games
Hamza Jaffali, Frédéric Holweck
In this paper, we generalize to three players the well-known CHSH quantum game. To do so, we consider all possible 3 variables Boolean functions and search among them which ones co…
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…
Entanglement and non-locality of four-qubit connected hypergraph states
Grâce Amouzou, Jeoffrey Boffelli, Hamza Jaffali +2
We study entanglement and non-locality of connected four-qubit hypergraph states. One obtains the SLOCC classification from the known LU-orbits. We then consider Mermin's polynomia…
Mermin Polynomials for Entanglement Evaluation in Grover's algorithm and Quantum Fourier Transform
Henri de Boutray, Hamza Jaffali, Frédéric Holweck +2
The entanglement of a quantum system can be valuated using Mermin polynomials. This gives us a means to study entanglement evolution during the execution of quantum algorithms. We…
A Finite-Geometric Classification of Three-Qubit Mermin Pentagrams
Metod Saniga, Frederic Holweck, Hamza Jaffali
Given the facts that the three-qubit symplectic polar space features three different kinds of observables and each of its labeled Fano planes acquires a definite sign, we found tha…
Learning Algebraic Models of Quantum Entanglement
Hamza Jaffali, Luke Oeding
We review supervised learning and deep neural network design for learning membership on algebraic varieties. We demonstrate that these trained artificial neural networks can predic…
Quantum Entanglement involved in Grover's and Shor's algorithms: the four-qubit case
Hamza Jaffali, Frédéric Holweck
In this paper, we study the nature of entanglement in quantum Grover's and Shor's algorithms. So far, the authors who have been interested in this problem have approached the quest…
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…
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…