26 citations · 26 across the 8 of their papers we have counts for
9 papers
Assessing Cost Hamiltonian Reliability in Quantum Protein Structure Prediction
Mathieu Roget, Cedric Damour, Frederic Cadet +1
In variational quantum algorithms, QAOA, and quantum annealing, the cost Hamiltonian defines the optimization landscape explored by the quantum hardware; however, in many applicati…
Exponential Quantum Advantage for Message Complexity in Distributed Algorithms
François Le Gall, Maël Luce, Joseph Marchand +1
We investigate how much quantum distributed algorithms can outperform classical distributed algorithms with respect to the message complexity (the overall amount of communication u…
On Quantum Perceptron Learning via Quantum Search
Xiaoyu Sun, Mathieu Roget, Giuseppe Di Molfetta +1
With the growing interest in quantum machine learning, the perceptron, a fundamental building block in traditional machine learning, has emerged as a valuable model for exploring t…
A quantum walk inspired model for distributed computing on arbitrary graphs
Mathieu Roget, Giuseppe Di Molfetta
A discrete time quantum walk is known to be the single-particle sector of a quantum cellular automaton. For a long time, these models have interested the community for their nice p…
A quantum walk-based scheme for distributed searching on arbitrary graphs
Mathieu Roget, Giuseppe Di Molfetta
A discrete time quantum walk is known to be the single-particle sector of a quantum cellular automaton. Searching in this mathematical framework has interested the community since…
Optimality conditions for spatial search with multiple marked vertices
Mathieu Roget, Hachem Kadri, Giuseppe Di Molfetta
We contribute to fulfil the long-lasting gap in the understanding of the spatial search with multiple marked vertices. The theoretical framework is that of discrete-time quantum wa…
Quantum Perceptron Revisited: Computational-Statistical Tradeoffs
Mathieu Roget, Giuseppe Di Molfetta, Hachem Kadri
Quantum machine learning algorithms could provide significant speed-ups over their classical counterparts; however, whether they could also achieve good generalization remains uncl…
Quantum control using quantum memory
Mathieu Roget, Basile Herzog, Giuseppe Di Molfetta
We propose a new quantum numerical scheme to control the dynamics of a quantum walker in a two dimensional space-time grid. More specifically, we show how, introducing a quantum me…
The Grover search as a naturally occurring phenomenon
Mathieu Roget, Stéphane Guillet, Pablo Arrighi +1
We provide first evidence that under certain conditions, 1/2-spin fermions may naturally behave like a Grover search, looking for topological defects in a material. The theoretical…