My work belongs to three overlapping fields: quantum information and algorithms, algebraic combinatorics, and mathematical economics. I participate in the HQI initiative , from the French national quantum plan, which funds my postdoc together with the Fondation Mathématique Jacques Hadamard . Currently, I am working on
- quantum walks for optimization,
- binary high-order polynomial optimization,
- interaction between high performance computing and quantum algorithms,
- the structure and geometry of balanced games,
- the algebraic structures of polymatroids, deformed permutohedra, and the resonance arrangement.
Supervision
- Bruno Galibert (2025), Master 1 student, on “Quantum circuit simplification”, funded by a Quantum-Saclay grant.
- Qui Loc Phan (2024), Master 1 student, on “Quantum circuit design and combinatorial optimization”.
Publications
————— Quantum information and algorithms
Variational quantum algorithms for permutation-based combinatorial problems: Optimal ansatz generation with applications to quadratic assignment problems and beyond
Dylan Laplace Mermoud, Andrea Simonetto, Sourour Elloumi, 2025
————— Algebraic combinatorics
The algebraic structures of social organizations: the operad of cooperative games
Dylan Laplace Mermoud, Victor Roca i Lucio, 2025
Combinatorics on Social Configurations
Dylan Laplace Mermoud, Pierre Popoli
EPTCS 403, pp. 128-133, 2024
————— Mathematical economics
Diffusion in dynamic networks with continuous inputs to allocate responsibility
Rosa van den Ende, Dylan Laplace Mermoud, 2025
Attraction of the core and the cohesion flow
Dylan Laplace Mermoud
Theory and Decision, 2025
Projection onto the core: An optimal reallocation to correct market failure
Dylan Laplace Mermoud, 2024
On the formation of steady coalitions
Dylan Laplace Mermoud, 2024
Minimal balanced collections and their application to core stability and other topics of game theory
Dylan Laplace Mermoud, Michel Grabich, Peter Sudhölter
Discrete Applied Mathematics 341, pp. 60-81, 2023
————— Doctoral thesis
Geometry of Set Functions in Game Theory: Combinatorial and Computational Aspects
Supervised by Michel Grabisch and Peter Sudhölter,
Reviewed by Marina Nuñez and Tamas Solymosi,
Chaired by Philippe Bich,
Additional jury members: Jean-Jacques Herings and Philippe Solal.